Answer:
13
Step-by-step explanation:
Given
7u - 4 = 3 ( add 4 to both sides )
7u = 7 ( divide both sides by 7 )
u = 1
Then
9u + 4 = 9(1) + 4 = 9 + 4 =13
A vehicle purchased for $20,700 depreciates at a constant rate of 7%. Determine the approximate value of
the vehicle 15 years after purchase. Round to the nearest whole dollar.
1 pt
Answer:
Depreciation at a constant percent is exponential decay:V(t) = V0·(1-rate)tV(t) is the value at year t (we want t = 14 years)V0 is the starting value = $20,700rate is the depreciation rate expressed as a decimal = 0.05t = years = 14V(14) = $20700·(1 - 0.05)14Use your calculator to get the answer. Round your answer to the nearest cent, The units are $$.
Step-by-step explanation:
A cereal comes in three different package sizes.
8 = $12
12 = $16
16 = $20
What is the ratio of the cost of an 8-ounce box to a 16-ounce box of
cereal?
1:2
3:5
5:3
2:1
Answer: To find the ratio of the cost of an 8-ounce box to a 16-ounce box of cereal, we can divide the cost of an 8-ounce box by the cost of a 16-ounce box:
8 oz: $12
16 oz: $20
The ratio of the cost of an 8-ounce box to a 16-ounce box of cereal is:
12/20 = 3/5
So the answer is 3:5.
Step-by-step explanation:
A study was done to estimate the mean commute time for a population of employed adults. A random sample of
25 employed adults in a particular city was taken, and the 95% confidence interval for mean commute time was
calculated to be 34.42 ± 8.14 minutes. A councilman is advocating for road repairs and states that, in this city,
people with jobs commute an average of 45 minutes to work each day. Does the confidence interval justify the
councilman's statement?
No, because 45 minutes is greater than the upper bound of the confidence interval.
Yes, because 45 minutes is greater than the upper bound of the confidence interval.
No, because the mean commute time from the 25 sampled adults was 34.42 minutes.
O Yes, because there were almost certainly some people in the sample of 25 adults whose commute was greater
than 45 minutes.
The confidence interval does not justify the councilman's statement because 45 minutes is greater than the upper bound of the confidence interval.
What is a confidence interval?
A confidence interval is a statistical range that is used to estimate an unknown population parameter based on a sample from that population. It is a measure of the degree of uncertainty or precision associated with the estimated value of the parameter.
The confidence interval of 34.42 ± 8.14 minutes means that we are 95% confident that the true population mean commute time falls between 26.28 minutes (34.42 - 8.14) and 42.56 minutes (34.42 + 8.14). Since the councilman's statement of 45 minutes falls outside of this range, we cannot say that it is justified by the confidence interval.
Additionally, the fact that the mean commute time from the sample of 25 adults was 34.42 minutes does not necessarily mean that the true population mean commute time is also 34.42 minutes. It only provides an estimate, and the confidence interval takes into account the variability of the sample mean.
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Answer:
A. No, because 45 minutes is greater than the upper bound of the confidence interval.
Step-by-step explanation:
WILL GIVE TRUE 100 POINTS AND BRAINLYEST FOR THE CORRECT ANSWER
Answer:
y intercept = +4
slope = +2
domain = (-2,0)
range = (4,0)
Graph is increasing
x intercept = -2
Step-by-step explanation:
Line hits y axis at point 4
Slope is calculated by rise over run (2/1)
Domain is x,y listed
Range is y,x listed
Line is going up
Line hits x axis at -2
If 40% of x is 111, what is 80% of x?
Answer: 222
Step-by-step explanation:
So you know 40% of x is 111
and we need to find 80%
80% is twice of 40%
so we multiply 111 by 2 and get 222
x=222
The rectangle below represents a table top that Lakita wants to cover with tiles. Each tile has an area of 7 square inches. To find the maximum number of tiles that will fit the table top, Lakita wants to use the inequality 7x < y. What is the value of y? What is the maximum number of tiles she can use?
The total space that the tiles will cover is 7x, where x is the number of tiles, and each tile has an area of 7 square inches. the maximum number of tiles that Lakita can use is [tex]20[/tex] .
What are the parameters for maximum number?Since each tile has an area of 7 square inches, the total area that the tiles will cover is 7x, where x is the number of tiles.
Lakita wants to find the maximum number of tiles she can use, so she needs to find the largest integer value of x that satisfies the inequality 7x < y, where y is the total area of the table-top.
To find the value of y, we need to find the area of the rectangle. The rectangle is 10 inches wide and 14 inches long, so its area is:
A = length × width [tex]= 10 \times 14 = 140[/tex] square inches
Therefore, [tex], y = 140[/tex] square inches.
To find the maximum number of tiles, we can divide the total area of the table-top by the area of each tile:
[tex]x = y/7 = 140/7 = 20[/tex]
Therefore, the maximum number of tiles that Lakita can use is [tex]20[/tex] .
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Solve the following inequalities, giving your answer in interval notation and sketch the solution:
−14 < −7(3 + 2) < 1
The final answer is:
-1/7 < 5 < 2
Or, in interval notation:
(−1/7, 2)
What is interval?
In mathematics, an interval is a set of real numbers with the property that any number that lies between two numbers in the set is also included in the set. An interval can be written using interval notation, which uses parentheses, square brackets, or a combination of both to indicate whether the endpoints of the interval are included or excluded. For example:
First, let's simplify the expression inside the parentheses:
3 + 2 = 5
Now we can substitute this value into the expression and simplify further:
-14 < -7(5) < 1
-14 < -35 < 1
To solve this compound inequality, we need to isolate the variable (in this case, there is no variable) to find the range of values that satisfy the inequality. We can do this by dividing all three parts of the inequality by -7. However, we need to reverse the direction of the inequality signs since we are dividing by a negative number:
-14/-7 > -35/-7 > 1/-7
2 > 5 > -1/7
Therefore, the solution to the inequality is:
-1/7 < 5 < 2
In interval notation, this can be written as:
(−1/7, 2)
To sketch the solution, we can plot the interval on a number line. The interval does not include the endpoints, so we use open circles to indicate this:
<-------------(○======○)------------->
-1/7 5 2
The open circle at -1/7 indicates that -1/7 is not included in the interval, and the open circle at 2 indicates that 2 is also not included in the interval. The line segment between the circles represents the range of values that satisfy the inequality.
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Find where f(x) = g(x), when f(x) = √40x and g(x)=√x + 3.
Therefore, f(x) = g(x) when function x is approximately 0.235 or 33.765.
Quadratic equations?A quadratic equation is a polynomial equation of the second degree, which means that the highest power of the variable in the equation is 2. A general quadratic equation can be written in the form:
[tex]ax^2 + bx + c = 0[/tex]
Where 'a', 'b', and 'c' are constants, and 'x' is the variable. The value of 'x' that satisfies the equation is called the root or solution of the equation.
To find where f(x) = g(x), we need to solve the equation:
[tex]\sqrt40x = \sqrt{x} + 3[/tex]
Squaring both sides, we get:
[tex]40x = (x + 3)^2[/tex]
Expanding the right-hand side, we get:
40x = x² + 6x + 9
Bringing all terms to one side, we get:
[tex]x^2- 34x - 9 = 0[/tex]
We can solve this quadratic equation using the quadratic formula:
[tex]x = (-b± \sqrt{(b^2 - 4ac))}/2a[/tex]
where a = 1, b = -34, and c = -9.
Plugging in these values, we get:
x = (34 ± √ (34² + 419)) / 2
x = (34 ± √1165) / 2
x ≈ 0.235 or x ≈ 33.765
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Choose the best answer to the following question. Explain your reasoning with one or more complete sentences.
Which of the following is an example of exponential decay?
A. The population of a rural community decreasing by 100 people per year is an example of exponential decay because population growth and decay are represented exponentially, and in this case it is decreasing.
B. Government support for education decreasing by 1% per year is an example of exponential decay because the support decreases by the same percentage each year.
C. The price of gasoline decreasing by $0.02 per week is an example of exponential decay because the price decreases very slowly at first.
D. The price of gasoline decreasing by $0.02 per week is an example of exponential decay because the amount at which the price is decreasing increases by $0.02 each week.
E. The population of a rural community decreasing by 100 people per year is an example of exponential decay because the population decreases at a steady rate.
F. Government support for education decreasing by 1% per year is an example of exponential decay because the amount of support is decreasing over time.
B. Government support for education decreasing by 1% per year is an example of exponential decay because the support decreases by the same percentage each year.
What is exponential decay?Exponential decay is a mathematical concept that describes the decrease of a quantity over time at a rate proportional to its current value. In other words, the amount by which the quantity decreases over a certain period of time is proportional to the current value of the quantity. This is often represented by an exponential function with a negative exponent, where the exponent is a function of time. The concept of exponential decay is used in many fields, including physics, chemistry, biology, and finance, among others.
Reasoning: It is because the support decreases by the same percentage each year. Exponential decay refers to a process in which a quantity decreases over time at a rate proportional to its current value. In this case, the government support is decreasing by a constant percentage each year, which is a characteristic of exponential decay.
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Find x using the Pythagorean Theorem.
The value of x for the given triangle is 14 according to the question.
EquationsIn triangle ABC, right-angled at B, let BM be the altitude from B to AC. Let CM be x.
Using the Pythagorean theorem in triangle ABC of the question:
[tex]AB^{2}[/tex] + [tex]BC^{2}[/tex] = [tex]AC^{2}[/tex]
Substituting AB = BM and BC = CM, we get:
[tex]BM^{2}[/tex] + [tex]CM^{2}[/tex] = [tex]AC^{2}[/tex]
Substituting the given values, we get:
[tex](2\sqrt{15}) ^{2}[/tex] +[tex]x^{2}[/tex] =[tex]16^{2}[/tex]
60 + [tex]x^{2}[/tex] = 256
[tex]x^{2}[/tex] = 196
x = 14
What is a perpendicular?A line or segment that forms a straight angle or 90-degree angle with the provided line is said to be perpendicular to it. It is also known as a "orthogonal" or "normal" line.
We must first choose a point on the supplied line in order to determine the perpendicular to it. Then, a line or segment that traverses that point and is perpendicular to the specified line can be created.
The fact that the slopes of perpendicular lines are the negative reciprocals of one another is used to accomplish this. The slope of any line perpendicular to the provided line will be -1/m if the slope of the given line is m.
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Help need correct answer asap
Two skaters are practicing at the same time on the same rink. A coordinate grid is superimposed on the ice. One skater follows
the path y = - 2x + 14, while the other skater follows the curve y = - 2x^2+ 14x.
Find all the points where they might collide if they
are not careful.
The two skaters might collide at the points (1, 12) and (7, 0).
What are the collide points?
To find the points where the two skaters might collide, we need to find the values of x and y that satisfy both equations simultaneously.
Setting the two expressions for y equal to each other, we get:
-2x + 14 = -2x² + 14x
Simplifying this equation, we get:
2x² - 16x + 14 = 0
Dividing both sides by 2, we get:
x² - 8x + 7 = 0
This equation can be factored as:
(x - 1)(x - 7) = 0
Therefore, the possible values of x where the skaters might collide are x=1 and x=7.
To find the corresponding values of y, we can substitute each value of x into one of the original equations.
For x=1, we get:
y = -2(1) + 14 = 12
Therefore, one possible point of collision is (1, 12).
For x=7, we get:
y = -2(7)² + 14(7) = 0
Therefore, another possible point of collision is (7, 0).
Therefore, To find the points where the two skaters might collide, we need to find the values of x and y that satisfy both equations simultaneously.
Setting the two expressions for y equal to each other, we get:
-2x + 14 = -2x² + 14x
Simplifying this equation, we get:
2x² - 16x + 14 = 0
Dividing both sides by 2, we get:
x² - 8x + 7 = 0
This equation can be factored as:
(x - 1)(x - 7) = 0
Therefore, the possible values of x where the skaters might collide are x=1 and x=7.
To find the corresponding values of y, we can substitute each value of x into one of the original equations.
For x=1, we get:
y = -2(1) + 14 = 12
Therefore, one possible point of collision is (1, 12).
For x=7, we get:
y = -2(7)² + 14(7) = 0
Therefore, another possible point of collision is (7, 0).
Therefore, the two skaters might collide at the points (1, 12) and (7, 0).
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the official world record for the men's marathon is 2 hours and 3 minutes 59 seconds set by Haile Gebrselassie of Ethiopia. This berlin, marathon, held in September 2008, was 42.195 kilometers long. Write Gebrselassie's average speed for this marathon in meters per second. round your answer to the nearest tenth
Step-by-step explanation:
2 hrs = 7200 seconds
3 min 59 = 239 s
total seconds = 7439 s
42.195 km = 42159 m
42159 m / 7439s = 5.7 m/s
suppose that f( n ) = f(n/5) + 3n^2 when n is a positive integer divisible by 5, and f(1) = 4. Find f(125)
According to the given information, f(125) is equal to 48479.
What is function?
A function is a relation between a set of inputs and a set of possible outputs, with the property that each input is related to exactly one output.
To find f(125), we need to apply the recursive formula for f(n) when n is a positive integer divisible by 5. Since 125 is divisible by 5, we can use the formula:
f(125) = f(125/5) + 3(125)²
f(125/5) = f(25) = f(25/5) + 3(25)²
f(25/5) = f(5) = f(5/5) + 3(5)²
f(5/5) = f(1) = 4
Now we can substitute the values back into the formula and simplify:
f(5) = f(5/5) + 3(5)² = 4 + 75 = 79
f(25) = f(25/5) + 3(25)² = 79 + 3(625) = 2054
f(125) = f(125/5) + 3(125)² = 2054 + 3(15625) = 48479
Therefore, f(125) is equal to 48479.
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California has three times as many airports as Georgia.
a. Underline the key math word in the problem.
. Circle the operation you would use to find how many airports
Georgia has. Explain.
+
X
Hence, by multiplying the number of airports in California by a factor of three-quarters, we may get the number of airports in Georgia.
How to find how many airports Georgia has?To find how many airports Georgia has, we need to use division. We can divide the total number of airports in California by 3 to find the number of airports in Georgia.
The key math word in the problem is "three times."
Let's say the number of airports in California is "C". Then, we can represent the number of airports in Georgia as "G," and we know that:
C = 3G
To solve for G, we can divide both sides of the equation by 3:
C/3 = G
Therefore, the number of airports in Georgia is equal to one-third of the number of airports in California.
The key math word in the problem is "three times."
We need to divide in order to determine the number of airports in Georgia. The number of airports in Georgia can be calculated by dividing the total number of airports in California by 3.
Let's say the number of airports in California is "C". Then, we can represent the number of airports in Georgia as "G," and we know that:
C = 3G
To solve for G, we can divide both sides of the equation by 3:
C/3 = G
Therefore, the number of airports in Georgia is equal to one-third of the number of airports in California.
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All the following will appear in a cash budget EXCEPT:
A. Depreciation
B. Corporation tax payment
C. Purchase of new vehicle
D. Receipt of dividend from investment
Answer:
The answer is A. Depreciation.
A cash budget is a financial statement that projects a company's future cash inflows and outflows. It is used to help the company manage its cash flow and avoid running out of money. The cash budget includes all of the company's expected cash receipts and payments, including sales, purchases, expenses, and taxes. Depreciation is not a cash flow, so it does not appear on a cash budget.
Depreciation is an accounting concept that allows companies to spread the cost of an asset over its useful life. It is not a cash expense, because the company does not actually pay out any money when it depreciates an asset. Instead, the company reduces the value of the asset on its balance sheet.
The cash budget is a valuable tool for businesses of all sizes. It can help businesses to plan for future cash needs, avoid running out of money, and make sound financial decisions.
Step-by-step explanation:
Simplify the expression 3x + 2y - x + y
Answer:
2x + 3y
Step-by-step explanation:
= 3x + 2y - x + y
= 2x + 2y + y
= 2x + 3y
hope this helps
A magazine picture of a purse is shown below. How much area does the purse (not including the handle) take up in the magazine layout?
The area of the purse can be calculated using the formula for the area of a trapezoid. The purse (not including the handle) takes up 34 cm² in the magazine layout.
What is the formula of area of a trapezoid?The formula states that the area of a trapezoid is equal to one half of the product of the length of the two parallel sides, multiplied by the height. Thus, the area of the purse can be calculated as:
Area = (1/2) x (11cm + 6cm) x 4cm
Area = (1/2) x (17cm) x 4cm
Area = 34 cm²
Therefore, the purse (not including the handle) takes up 34 cm² in the magazine layout.
It is important to note that the formula for the area of a trapezoid can be used in this instance because the purse has a shape of a trapezoid.
This is due to the fact that the line parallel to the 11cm base has a length of 6cm. The line is not parallel to the 4cm height and thus, the shape of the purse is a trapezoid and not a rectangle.
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False False Exercise 4 The steps to draw a pentagonal prism are listed below. Identify the missing step. response - correct Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Step 1: Draw identical pentagonal bases. Step 2: 1 Step 3: Change any hidden lines to dashed lines.
You could shade in the faces of the prism or add labels to identify different parts of the drawing.
What is Pentagonal ?
"Pentagonal" is an adjective that describes something that has five sides or angles. In geometry, a pentagon is a two-dimensional shape with five straight sides and five angles.
To draw a pentagonal prism, you'll need to follow these steps:
Draw identical pentagonal bases: Start by drawing two identical pentagons. Make sure they have the same size and shape. You can use a ruler and a protractor to help you draw the lines.
Draw five vertical lines: Connect each vertex of one pentagon to its corresponding vertex on the other pentagon using straight lines. These lines should be perpendicular to the base and have the same length. You should end up with five evenly spaced vertical lines.
Change any hidden lines to dashed lines: Identify any lines that won't be visible in the final drawing and change them to dashed lines. This will help to make the drawing easier to read and understand.
Add any additional details: Once you've completed the basic shape of the pentagonal prism, you can add any additional details or shading to make the drawing more realistic or interesting.
Therefore, You could shade in the faces of the prism or add labels to identify different parts of the drawing.
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1.3 1.4 Thabang save money by putting coins in a money box. The money box has 600 coins that consist of 20 cents and 50 cents. 1.3.1 1.3.2 Determine the total amount of cents in the money box. Convert the amount in 1.3.2 to rands (R).
1.3.1 There are 380 pieces of 50 cents coins.
1.3.2 The total amount of cents in the money box are 23,400.
1.3.3 The amount in rands is 234.
The solution has been obtained by using unit conversion.
What is unit conversion?
Unit conversion is a multi-step procedure that requires multiplying or dividing by a numerical factor, or more specifically, a conversion factor. Furthermore, rounding and choosing the right number of significant digits may be required. Various metrics are measured using various conversion units.
1.3.1 Let the number of 50 cents coin be x.
We are given that total number of coins are 600.
This gives us an equation as x + 220 = 600.
So,
x = 600 - 220
x = 380
1.3.2 The total cents is given by the following expression
⇒ (20 * 220) + 50x
⇒ 4400 + (50 * 380)
⇒ 4400 + 19000
⇒ 23,400 cents
1.3.3 We know that 100 cents = 1 rand.
So, using unit conversion, we get
⇒ 1 cent = [tex]\frac{1}{100}[/tex] rands
⇒ 23400 cents = [tex]\frac{1}{100}[/tex] * 23400 rands
⇒ 23400 cents = 234 rands
Hence, the required solutions have been obtained.
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The complete question has been attached below.
Last week, a candy store sold 6 1/3
pounds of white chocolate. It sold 4 times as much milk chocolate as white chocolate. DUE NOWW HELP
Question 1
How many pounds (in mixed number form) of milk chocolate did the candy store sell last week?
Responses
A 24 2/3
B. 25 2/3
C. 25 1/3
D. 24 1/3
Question 2
How many more pounds of milk chocolate were sold than white chocolate at the candy store last week?
Responses
A. 19 2/3
B. 18
C. 19
D. 18 2/3
1)The number of milk chocolate that sold last week is = [tex]25\frac{2}{3}[/tex] B is correct
2)white chocolate at the candy store last week is 19.
Last week, a candy store sold [tex]5\frac{1}{3}=\frac{16}{3}[/tex] pounds of white chocolate. It sold 4 times as much milk chocolate as white chocolate.
The number of milk chocolate did the candy store sell last week.
Since the candy store sold 4 times as much milk chocolate as white chocolate, it sold:
[tex]4 *\frac{ 19}{3 } =\frac{ 76}{3}\\ pounds\ of\ milk\ chocolate.= 25 \frac{2}{3}[/tex]
option B is correct.
2)
To find out how many more pounds of milk chocolate were sold than white chocolate at the candy store last week, we can subtract the amount of white chocolate sold from the amount of milk chocolate sold:
[tex]\frac{76}{3} - \frac{19}{3} \\= \frac{57}{3}\\ = 19\ pounds.[/tex]
option C is correct
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Soit ABCD un carré de côté a, I le milieu de [BC] et J celui de [DC].
On se propose d'évaluer l'angle IAJ de mesure 8.
1) Exprimer AI AJ en fonction de cos (8) et de a.
2) a). Exprimer Al et AJ à l'aide des vecteurs AB et AD.
b) Donner une autre expression de AI-AJ.
3) Déduire des questions précédentes la valeur exacte de cos() et une valeur valeur
approchée à 102 près par défaut, de (en degrés).
D
Answer:
Step-by-step explanation:
Find the volume of the oblique rectangular prism below. (2 points)
15
10
8
Enter your answer and your work or explanation in the space provided. Round your answer to the nearest hundredth.
Using the formula we know that the volume of the oblique rectangular prism is 1,200units³ respectively.
What is an oblique rectangular prism?A prism with oblique bases is one in which the bases are not parallel to one another.
An oblique rectangular prism is a rectangular prism with bases that are not arranged one over the other.
The following qualities describe an oblique prism: It seems to be slanted or skewed. Parallelograms make up an oblique prism's faces.
The height is gauged from the outside.
The two bases are not positioned next to one another exactly.
So, the volume formula for the oblique rectangular prism:
V=l⋅w⋅h
Now, insert values:
V=l⋅w⋅h
V=15*10*8
V=1,200 units ³
Therefore, using the formula we know that the volume of the oblique rectangular prism is 1,200units³ respectively.
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PLEASE ANSWR ASAP BOTH QUESTIONS WITH WORK WILL MARK BRAINLIST
The answer of 2nd question Quadrilateral JUMP in a circle is = Supplementary
What do you mean by Supplementary angle?
Supplementary angles are two angles whose measures add up to 180 degrees. In other words, if angle A and angle B are supplementary, then A + B = 180 degrees.
Supplementary angles are important in geometry and trigonometry, and they can be used to solve various problems involving angles and their measures. For example, if you know that two angles are supplementary and you know the measure of one of them, you can find the measure of the other by subtracting the measure of the known angle from 180 degrees.
According to question
Quadrilateral JUMP in a circle so opposite angle J and M is supplementary
∴ The sum of opposite angle of a circle Quadrilateral is supplementary
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the cost of two brands of a household is given. Find the unit price and tell which is better to buy. A) $6.15 for 24 fl oz of dishwashing liquid B: $9.60 for 42fl oz of dishwashing liquid A: $4.29 for 4 oz of shoe polish B: $6.33 for 6 oz of shoe polish
Answer:
it is better to buy brand B for both dish washing liquid and shoe polish.
Step-by-step explanation:
A plant measured x inches tall last week and 8 inches tall this week. Represent the number of inches the plant grew what you do do you miltiply , divide, ect
The number of inches the plant grew this week would be 8-x. As the length increased this week the length is substracted from this week to last week.
Subtraction (which is signified by the minus sign −) is one of the four arithmetic operations along with addition, multiplication and division. Subtraction is an operation that represents removal of objects from a collection. For example, in the adjacent picture, there are 5 − 2 peaches—meaning 5 peaches with 2 taken away, resulting in a total of 3 peaches.
Therefore, the difference of 5 and 2 is 3; that is, 5 − 2 = 3. While primarily associated with natural numbers in arithmetic, subtraction can also represent removing or decreasing physical and abstract quantities using different kinds of objects including negative numbers, fractions, irrational numbers, vectors, decimals, functions, and matrices.
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10b + 12 = 62
what is b?
Step-by-step explanation:
10b = 62 - 12
10b = 50
b = 50/10
b = 5
Answer:
5
Step-by-step explanation:
When trying to find the value of an unknown variable, it is important to take into factors on how to reverse an effect being done to the variable, which is how we can isolate b and figure out the value.
- Addition reverses subtraction
- Multiplication reverses division
We have a simple equation, [tex]10b+12=62[/tex] , and we need to work around the variable b in order to isolate it. By doing this, we are able to find the true value of b.
We can subtract 12 on each side to get the term away from the constant.
[tex]10b+12=62[/tex]
- 12 -12
[tex]10b=50[/tex]
Then, to isolate the variable from the coefficient, which is 10, we can divide it to negate the multiplication factor on the term.
[tex]\frac{10b}{10} = \frac{50}{10}[/tex]
b=5
Therefore, the variable b=5.
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5^a - 3^a = 2b a and b are less then 5 and positive integers work out all the possible values of a and b
Step-by-step explanation:
pls send a picture for better clarification of the questions
 please help!!!!!!!!!!!!!!!!
Answer:
I CANT SEE WHAT IT SAYS
Step-by-step explanation:
which sequence of transformations was most likely applied to figure QRSTU to form Q’R’S’T’U’ as shown below?
D. Reflection across the y-axis, translation 4 units to the right. sequence of transformation is most likely applied to figure QRSTU to form Q'R'S'T'U'.
What is transformation?
To determine the sequence of transformations applied to figure QRSTU to form Q'R'S'T'U', we can compare the corresponding vertices of the two pentagons:
Q and Q': Q' is to the right of Q and has a positive x-coordinate.
R and R': R' is to the left of R and has a negative x-coordinate.
S and S': S' is above S and has a positive y-coordinate.
T and T': T' is above T and has a positive y-coordinate.
U and U': U' is to the right of U and has a positive x-coordinate.
Based on these comparisons, it appears that the figure has been reflected across the y-axis and then translated 4 units to the right. Therefore, the most likely sequence of transformations applied to QRSTU to form Q'R'S'T'U' is:
D. Reflection across the y-axis, translation 4 units to the right.
What are vertices?
A vertex (plural: vertices) is a point where two or more line segments or curves meet. Vertices are the corner points of a polygon or the endpoints of a line segment or ray. In three-dimensional geometry, vertices are the corner points of a polyhedron or the endpoints of an edge.
Vertices are important in defining the properties of a shape, such as its angles, sides, and symmetry. They are also used in graph theory to represent points in a graph or network.
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Complete question is: D. Reflection across the y-axis, translation 4 units to the right. sequence of transformation is most likely applied to figure QRSTU to form Q'R'S'T'U'.
Ellie and Jordan went to the store where packs of gum cost 85¢ each and candy bars cost 60¢ each. They spent $15.00 and brought 4 more packages of gum than candy bars. How many packages of gum did they buy?
Answer:
they bought 8 candy bars and 8 + 4 = 12 packs of gum.
Step-by-step explanation:
Let's use algebra to solve this problem:
Let x be the number of candy bars they bought.
Then, the number of packs of gum they bought is x + 4.
The total cost of the candy bars is 60x cents.
The total cost of the packs of gum is 85(x + 4) cents.
We know that they spent $15.00, which is 1500 cents, so we can write an equation:
60x + 85(x + 4) = 1500
Simplifying the equation, we get:
145x + 340 = 1500
145x = 1160
x = 8
Therefore, they bought 8 candy bars and 8 + 4 = 12 packs of gum
Answer: 22
Step-by-step explanation:
The number of the gum is 13 and the number of the candy will be 22.
What is linear system?
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Jane and Sophia went to the corner store where packages of gum cost 54¢ each and candy bars cost 88¢ each.
They spent $26.38 total and bought 35 items total.
Let x be the number of the gum and y be the number of the candy.
Then the equation will be
x + y = 35 ...1
0.54x + 0.88y = 26.38 ...2
By solving the equations 1 and 2, then we have
x = 13 and y = 22
Then the number of the gum is 13 and the number of the candy will be 22.