The inequality representing your total sales is:
15x + 20y >= 150
How to solveLet x be the number of small bowls and y be the number of large bowls.
The inequality representing your total sales is:
15x + 20y >= 150
Two possible solutions are:
x = 10, y = 0: Selling 10 small bowls ($150) and no large bowls meets the sales requirement.
x = 3, y = 6: Selling 3 small bowls ($45) and 6 large bowls ($120) results in $165 in sales, which exceeds the minimum sales target.
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√² +13
Simplify
63x
real numbers and p and q are rational.
01
1
1
1/3
1/3
+
+
13
6
< Previous
-.Write the answer in the form ax² + bx without using radicals. a and bare
13x¹/3
6
13
1/3
+ -x-1/3
6
Next ▸
Answer:
third answer option
Step-by-step explanation:
[tex] \sqrt[3]{ {x}^{2} } = {x}^{ \frac{2}{3} } [/tex]
[tex] \sqrt[3]{x} = {x}^{ \frac{1}{3} } [/tex]
[tex] \frac{1}{ {x}^{ \frac{1}{3} } } = {x}^{ - \frac{1}{3} } [/tex]
[tex] \frac{ {x}^{ \frac{2}{3} } }{6 {x}^{ \frac{1}{3} } } = \frac{1}{6} \times {x}^{ \frac{1}{3} } [/tex]
[tex] \frac{13}{6 {x}^{ \frac{1}{3} } } = \frac{13}{6} \times {x}^{ - \frac{1}{3} } [/tex]
so, the result is
[tex] \frac{1}{6} \times {x}^{ \frac{1}{3} } + \frac{13}{6} \times {x}^{ - \frac{1}{3} } [/tex]
What is the total of miles mark ran last week?
The total of miles mark ran last week is 10.75 miles.
We have the dot plot.
So, the total number of miles Mark ran
= 1 1/4 x 1 + 2 x 2 + 2 2/4 x 1 + 3 x 1
= 5/4 x 1 + 4 + 10/4 x 1 + 3
= 5/4 + 4 + 10/4 + 3
= 15/4 + 7
= 15/4 + 28/4
= 43/4
= 10 3/4
= 10.75
Thus, the total number of miles Mark ran is 10.75 miles.
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Khalid has 7 kites. Annie has
4 kites. How many kites do
they have altogether?
kites
7 + 4 = 11 kites
So you add the kites together because they ask you how much Khalid and Annie got together.
Triangle ABC ~ triangle DEF. Use the image to answer the question.
a triangle ABC with side AB labeled 11, side CA labeled 7.6 and side CB labeled 7.9 and a second triangle DEF with side DE labeled 2.2
Determine the measurement of DF.
DF = 1.58
DF = 1.52
DF = 1.1
DF = 5.5
The value of DF would be,
DF = 1.38
We are given that triangle ABC is similar to triangle DEF.
Therefore, we can set up the following proportion:
AB/DE = BC/EF = AC/DF
We are given the lengths of AB, AC, and BC, so we can substitute those values into the proportion:
11/2 = 7.9/EF = 7.6/DF
We are asked to find the length of DF, so we can isolate DF by cross-multiplying:
11/2 = 7.6/DF
DF = 7.6 x 2 / 11
DF = 1.38
Thus, The value of DF would be,
DF = 1.38
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The volume of the rectangular prism is given by V(X)=3x^3+x^2-2x+3. Find the missing measures if you know the length is given by (x+1). Find the height and width.
The height and width of the prism are x and 3x - 2
Finding the height and width of the prismFrom the question, we have the following parameters that can be used in our computation:
V(x) = 3x^3 + x^2 - 2x + 3
Length = x + 1
This means that
Side area = Volume/Length
So, we have
Side area = (3x^3 + x^2 - 2x + 3)/(x + 1)
When evaluated, we have
Side area = 3x^2 - 2x + 3/(x + 1)
Ignoring the remainder, we have
Side area = 3x^2 - 2x
Factorize
Side area = x(3x - 2)
This means that
height = x and width = 3x - 2
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A grocery store recently sold several cans of soup.
What is the experimental probability that the next can sold will be chicken noodle soup?
Write your answer as a fraction or whole number.
Its IXL.
Answer: Depends On the Numbers
Step-by-step explanation: State The Numbers
Mrs. Cowley purchases $32,000 worth of stock on her broker's advice and pays her broker a 0.75% broker fee. She is forced to sell it when it falls to $25,100 two years later, and uses a discount broker who charges $17 per trade. Compute her net loss after the broker fees are taken out.
Answer: $6,320.25
Step-by-step explanation:
Mrs. Cowley's broker fee is calculated by multiplying the purchase price by the broker fee percentage: $32,000 x 0.0075 = $240. Her total cost for the purchase is then $32,000 + $240 = $32,240. When she sells the stock for $25,100, she incurs another fee of $17 for using the discount broker. To calculate her net loss, we subtract her total cost from her selling price and subtract the two broker fees: $25,100 - $32,240 - $17 - $17 = -$6,320.25, which is rounded to $6,320.25 as a net loss.
solve the question please
The composite function f(f(x)) has a solution of - (1 - x)/x
Evaluating the composite functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = 1/1 - x
To calculate f(f(x)), we replace the occurence of x in the function f(x) = 1/1 - x with f(x)
Using the above as a guide, we have the following:
f(f(x)) = 1/1 - f(x)
Substitute the known values in the above equation, so, we have the following representation
f(f(x)) = 1/(1 - 1/(1 - x))
Evaluate
f(f(x)) = - (1 - x)/x
Hence, the solution is f(f(x)) = - (1 - x)/x
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2. Andrew filled 5 boxes in 35 minutes.
Paige worked for 75 minutes at a
faster rate than Andrew. Select all the
rates that could be Paige's.
A15 boxes in 75 minutes
B10 boxes in 75 minutes
C12 boxes in 75 minutes
D1 box in 6 minutes
E1 box in 9 minutes
The rates that would fill Paige's boxes per minute is
15 boxes in 75 minutes
12 boxes in 75 minutes
1 box in 6 minutes
Given data ,
The rate at which Paige worked can be calculated by comparing the number of boxes filled by Paige with the time Paige worked.
Now , Andrew filled 5 boxes in 35 minutes,
So , The rate of Andrew = Number of boxes filled / Time taken = 5 boxes / 35 minutes = 1/7 boxes per minute
And , Paige worked for 75 minutes at a faster rate than Andrew, so Paige's rate must be greater than 1/7 boxes per minute
A. 15 boxes in 75 minutes:
Rate of Paige = Number of boxes filled / Time taken = 15 boxes / 75 minutes = 1/5 boxes per minute
B. 10 boxes in 75 minutes
Rate of Paige = Number of boxes filled / Time taken = 10 boxes / 75 minutes = 2/15 boxes per minute
C. 12 boxes in 75 minutes
Rate of Paige = Number of boxes filled / Time taken = 12 boxes / 75 minutes = 4/25 boxes per minute
D. 1 box in 6 minutes
Rate of Paige = Number of boxes filled / Time taken = 1 box / 6 minutes = 1/6 boxes per minute
E. 1 box in 9 minutes
Rate of Paige = Number of boxes filled / Time taken = 1 box / 9 minutes = 1/9 boxes per minute
Based on the calculations, options A, C, and D could be Paige's rates, as they are greater than 1/7 boxes per minute
Hence , the equations are solved
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Which of the following is the graph of the function shown below?
W.
X.
Y.
Z.
A.
X
B.
Y
C.
W
Answer:
Cannot be drawn directly.
Step-by-step explanation:
The graph of every function w = f (x, y, z) will be a surface in R 4, though it can't be drawn directly; however, slicing horizontally by w = c produces relations c = f (x, y, z) in x, y, and z whose graphs will be surfaces in 3-space which can be drawn. Therefore, the graph of the function shown above cannot be drawn directly.
help with this please. how many solutions and what are they
Hence, there is only one answer, which is (-3, 3) as the two lines intersect in order to obtain the solution(s) to the system of equations.
Here, we have,
A value or combination of values that satisfy an equation, inequality, system of equations, or system of inequalities are known as solutions in mathematics. Take the equation x2 - 3x + 2 = 0, for instance. This equation has a solution in the form of an x value that makes the equation true. The quadratic formula allows us to determine that this equation has two solutions, x = 1 and x = 2. According to this, a solution for a system of equations is a set of values that simultaneously satisfy every equation in the system. Mathematical problem-solving, which has many applications in areas like engineering, physics, economics, and more, is a crucial component of the subject.
given
We must identify the point(s) at where the two lines intersect in order to obtain the solution(s) to the system of equations depicted by the graph. The graph demonstrates that the lines cross at the location (-3, 3).
Hence, there is only one answer, which is (-3, 3) as the two lines intersect in order to obtain the solution(s) to the system of equations.
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For her end of year party Adriana mixed 6 L of Brand A juice with 9 L of Brand B juice. Brand A contains 52% fruit and Brand B contains 12% fruit juice. What percent of the mixture is fruit juice?
A. 30%
B. 28%
C. 20%
D. 32%
Answer:
B. 28%
Step-by-step explanation:
You want to know the percent of the mixture that is fruit juice, if the mixture is 6 L of 52% juice and 9 L of 12% juice.
JuiceThe total amount of juice in the 6+9 = 15 L of mix is ...
0.52·(6 L) +0.12(9 L) = 3.12 L +1.08 L = 4.2 L
Then the fraction of the mix that is fruit juice is ...
(4.2 L)/(15 L) = 0.28 = 28%
The percent of the mixture that is fruit juice is 28%, choice B.
__
Additional comment
Effectively, the fraction is the weighted average of the fractions of the constituents. The weights are the number of liters of each constituent.
<95141404393>
how to convert 90% to a decimal point
Answer:
0.90
Step-by-step explanation:
Just like a decimal to a percentage number, you must multiply by 100. By converting a percentage number to a decimal point, you must divide it by 100. Which means, the decimal must move 2 times.
For example,
0.90 x 100 = 90%
This is decimal to percentage number, but in this case it is percentage to decimal.
90%.
Since the number ended at 0, put the decimal there and move it 2 times to get to your decimal point.
.90 = 0.90
There you'll get your answer! ^^
90% = 0.90
Give me an example of a pictogram
Answer:
Step-by-step explanation:
use the Pythagorean Theorem to find the length of the missing side. side a 4 side b 7
As per the Pythagorean theorem, the length of the missing side, c, is approximately 8.06 units.
Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
Now, let's use the Pythagorean Theorem to find the length of the missing side in your problem. You have a right-angled triangle with side a = 4 and side b = 7. To find the length of the missing side, let's call it c, we need to use the Pythagorean Theorem, which is:
c² = a² + b²
In this case, we know the values of a and b, so we can substitute them into the equation:
c² = 4² + 7²
Simplifying the right-hand side, we get:
c² = 16 + 49
c² = 65
To solve for c, we need to take the square root of both sides of the equation:
c = √65
c ≈ 8.06
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Write a quadratic equation that has as solutions the given pair of numbers. (Use x as the independent variable.)
5i and −5i
The quadratic equation that has 5i and -5i as solutions is:
x²+ 25 = 0
The quadratic equation is the polynomial having the highest power of 2. If 5i and -5i are the solutions to the quadratic equation, then the quadratic equation can be written as:
(x - 5i)(x + 5i) = 0
Expanding this equation, we get:
x² - (5i)² = 0
x² - 25i² = 0
Since i² = -1, we can substitute -1 for i², giving us:
x² - 25(-1) = 0
x² + 25 = 0
Therefore, the quadratic equation that has 5i and -5i as solutions is:
x²+ 25 = 0
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The volume of a cube depends on the length of its sides. This can be written
in function notation as v(s). What is the best interpretation of v(9) = 277
A. A Gube with a volume of 3 cubic feet has side lengths of 27 feet.
B. 3 sides of the cube have a total length of 27 feet.
6. A cube with side lengths of 3 feet has a volume of 27 cubic feet
D. 3 of these cubes will have a total volume of 27 cubie feet.
The best interpretation of v(9) = 277 is a cube with side lengths of 9 feet has a volume of 277 cubic feet
What is the best interpretation of v(9) = 277From the question, we have the following parameters that can be used in our computation:
The volume of a cube depends on the length of its sides.
And this is represented in function notation as v(s)
The function notation v(s) means
The volume of cube with side length s is v
Using the above as a guide, we have the following:
A cube with side lengths of 9 feet has a volume of 277 cubic feet
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Answer:
19.1
I found it out after I got the ansewer wrong on IXL
The equations of three lines are given below.
3
Line 1: y=x+7
Line 2: 2y=3x+5
Line 3: 6x-4y=4
For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Line 1 and Line 2: O Parallel O Perpendicular
Neither
Line 1 and Line 3: O Parallel O Perpendicular O Neither
Line 2 and Line 3:
O Parallel O Perpendicular O Neither
X
Comparing the equations of the two lines, we can see that they have the same slope (3/2). Therefore, the lines are parallel.
To determine whether these two lines are parallel or perpendicular, we can convert Line 2 into slope-intercept form (y = mx + b):
2y = 3x + 5
y = (3/2)x + 5/2
Comparing this equation to the equation of Line 1 (y = x + 7), we see that the slopes (coefficients of x) of the two lines are not equal, nor are they negative reciprocals of each other. Therefore, the lines are neither parallel nor perpendicular.
Line 1 and Line 3:
To determine whether these two lines are parallel or perpendicular, we can convert Line 3 into slope-intercept form (y = mx + b):
6x - 4y = 4
-4y = -6x + 4
y = (3/2)x - 1
Comparing this equation to the equation of Line 1 (y = x + 7), we see that the slopes of the two lines are not equal, nor are they negative reciprocals of each other. Therefore, the lines are neither parallel nor perpendicular.
Line 2 and Line 3:
To determine whether these two lines are parallel or perpendicular, we can convert Line 2 into slope-intercept form (y = mx + b):
2y = 3x + 5
y = (3/2)x + 5/2
Next, we can rearrange Line 3 into the slope-intercept form:
6x - 4y = 4
-4y = -6x + 4
y = (3/2)x - 1
Comparing the equations of the two lines, we can see that they have the same slope (3/2). Therefore, the lines are parallel.
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Is this true or false? With explaine why
It is false that the vector u is formed according to the given linear combination.
How to analyze the linear combination?If the statement regarding the linear combination is true, we have that the following equality is true:
u = 2v1 - 2v2 - v3.
The vectors are given as follows:
v1 = (1,2).v2 = (3,4).v3 = (-1, 0).u = (6,8).Hence we verify the equation as follows:
(6,8) = 2(1,2) - 2(3, 4) - (-1, 0)
(6,8) = (2, 4) - (6, 8) + (1,0)
(6,8) = (2 - 6 + 1, 4 - 8 + 0)
(6, 8) = (-3, -4).
The statement is false, as the sides of the equality are different.
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Solve this quadratic equation using the quadratic formula. 2X^2 - 10x + 5 = 0
Answer:
If I am not mistaken, the answer is:
x1: 4.436
x2: 0.564
Step-by-step explanation:
Answer is
5 + √15 or 4.43649 decimal
2
and
5 - √15 or .56350 decimal
2
Step by step
Given 2x^2 -10x +5 = 0
Quadratic formula
-b +- √ b^2 - 4 a c
2a
- -10 +- √ -10^2 (-4)(2)(5)
2(2)
Simplify
10 +- √ 100 - 40
2(2)
10+- √ 60
2(2)
Factor out √60 = 2^2 * 3 * 5
Rewrite after moving 2 outside √
10 +- 2 √15
2(2)
Divide out one of the “2’s” with terms outside the √
5 +- √15
2
Solve
5 + √15
2
5 - √15
2
is y=x-3 a function or an equation
Danielle was completing her science project and mixed saline solutions A and B. Brand A was a six gallon 18% saline solution and she ended up with an 18 gallon 8% saline solution mixture. Find the percent of saline solution in brand B.
A. 2.1%
B. 21%
C. 3%
The percentage of saline solution in brand B is 3%. Then the correct option is C.
Let x be the percent of saline solution in brand B.
Since Danielle combined brands A and B to create a total of 18 gallons of 8% saline solution, we know that the total volume of saline solution in the combination is 18% of 6 gallons + x% of (18 - 6) gallons.
Thus, we can set up the equation:
0.18(6) + 0.01x(18 - 6) = 0.08(18)
Simplifying and solving for x, we get:
1.08 + 0.12x = 1.44
0.12x = 0.36
x = 3
Therefore, the percentage of saline solution in brand B is 3%.
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What expression is equivalent to 4 + (-4)?
Help please, I don’t know how to solve this.
Answer: A
Step-by-step explanation:
Goes down to the integer 1. B is the only one that makes sense subtracting doesn't work 87654321 goes from the 2 half line.
1. A limit imposed by the government on the quantity of a good or product that can be brought into the
country is called a
a. tariff
b. quota
c. foreign bill of exchange
d. value added tax
2. Which of the following would not be an effective argument for the U.S. to enact trade restrictions?
a. they shield U. S. workers from competition by cheap foreign labor
b. they may benefit the security and defense of the nation
c. they help the U.S. maintain diverse industries
d. they make foreign products cheaper to U.S. shoppers
OO
3. What does it mean if a country is on the gold standard?
DO
a. it sets the value of its currency in relation to a specific amount of gold
b. it creates specific standards by which gold is made into jewelry
O c.
O d. none of these
4. Economists tend to classify a country as less developed if the country's average level of Income is less
than
it uses gold instead of paper currency
a. $9,500 per person
b. the average per-person-income of neighboring countries
c. $3.040 per person
gen
d. a U.S. welfare recipient's income
5. Which of the following would not be considered a barrier to economic development?
O
a. high levels of political corruption
b. low population growth
c. low human capital
d. shortage of investment capital
37-09-71.AK
1. A limit imposed by the government on the quantity of a good or product that can be brought into the country is called a quota. The Option B.
2. An option that is not be an effective argument for the U.S. to enact trade restrictions is hey make foreign products cheaper to U.S. shoppers. The Option D is correct.
3. If a country is on the gold standard, this means that it sets the value of its currency in relation to a specific amount of gold. The Option A is correct.
4. An economists tend to classify a country as less developed if the country's average level of Income is less than $3.040 per person. The Option C is correct.
5. The option that would not be considered a barrier to economic development is low population growth. The Option B is correct.
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Two cyclists leave towns 130 kilometers apart at the same time and travel toward each other. One cyclist travels 5 km/h faster than the other.If they meet in 2 hours, what is the rate of each cyclist?
Answer:
Faster cyclist = 37.5km/h
Slower cyclist = 32.5km/h
Step-by-step explanation:
Let's call the rate of the slower cyclist "r" (in km/h). Then the rate of the faster cyclist is "r+5" (in km/h), since they are traveling 5 km/h faster.
We know that the two cyclists are traveling towards each other and will meet in 2 hours. We can use the formula:
distance = rate × time
Let's call the distance each cyclist travels "d". Since they are traveling towards each other, their distances will add up to the total distance between the two towns, which is 130 km. So we can write:
d + d = 130
2d = 130
d = 65
Now we can use the formula again to find the rates of the two cyclists:
For the slower cyclist:
distance = rate × time
65 = r × 2
r = 32.5 km/h
For the faster cyclist:
distance = rate × time
65 = (r+5) × 2
r+5 = 32.5 + 5 = 37.5 km/h
So the rate of the slower cyclist is 32.5 km/h, and the rate of the faster cyclist is 37.5 km/h.
If someone could help fast
Answer: 6(a) - 6(3)
Step-by-step explanation:
Answer: Its B
Step-by-step explanation:
The expression 6(a-3) can be simplified by applying the distributive property of multiplication over addition, which gives 6a - 18. Therefore, the expression is equivalent to 6a - 18. The answer is (b) –2. All other options do not simplify to the same expression as 6(a-3). For example, 18a is not equivalent to 6(a-3) and neither is 6(a)-6(3). Option (d) 1 simplifies to 6a - 18a + 18, which is not equivalent to the original expression. Similarly, 6(a)-3 simplifies to 6a - 3, which is also not equivalent.
The function,f(x), is plotted below, Evaluate each limit, if it exists.
The limit exists and is equal to 6.
The limit exists and is equal to 4.
Now, let's use this concept to evaluate the limits of the given function F(x). Looking at the graph of F(x), we see that it approaches different values as x approaches different points. We will evaluate each limit separately:
lim F(x) as x → 1
As x approaches 1 from the left side, the function appears to be approaching a value of 2. Similarly, as x approaches 1 from the right side, the function appears to be approaching a value of 4. However, the limit does not exist as the function is not approaching a single value as x approaches 1.
lim F(x) as x → 3
As x approaches 3, the function appears to be approaching a value of 4.
lim F(x) as x → ∞
As x approaches infinity, the function appears to be approaching a value of 6.
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which expression is equivalent to n+n-0.18n
a. 1.18n
b. 1.82n
c. n- 0.18
d. 2n - 0.82
Answer:
Simplifying the expression `n + n - 0.18n`, we get:
n + n - 0.18n = 2n - 0.18n
Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.
Looking at the answer choices:
a. 1.18n
b. 1.82n
c. n- 0.18
d. 2n - 0.82
We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.
Therefore, the answer is d. 2n - 0.82.
Step-by-step explanation:
10 cm The diagram above, not drawn to scale, shows a circle within a semicircle with a diameter of 10cm. Find the area of the shaded region. Seni
The area of the shaded region is equal to 12.5π or 39.27 square centimeters.
How to calculate the area of the shaded region?In Mathematics and Geometry, the area of a semicircle can be calculated by using this formula:
Area of semicircle, As = πr²/2
Where:
r represents the radius of a circle.
Note: Radius = diameter/2 = 20/2 = 10 centimeters.
By substituting the radius into the formula for the area of a semicircle, we have the following;
Area of semicircle = 1/2 × π × 10²
Area of semicircle = 50π square centimeters.
For the circle, we have:
Area of circle, Ac = πr²
Area of circle, Ac = π(10/2)²
Area of circle, Ac = 25π square centimeters.
Now, we can determine the area of the shaded region as follows;
Area of shaded region = (As - Ac)/2
Area of shaded region = (50π - 25π)/2
Area of shaded region = 12.5π or 39.27 square centimeters.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.