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Related Questions
plssss help 10 if corrret
Answers
The difference between -4/5 and -3/5 will be -7/5.
How to express the fraction?It should be noted that the difference between 4/5 and 3/5 will be illustrated thus:
= 4/5 - 3/5
= 1/5
Subtracting -3/5 from -4/5 will be:
= -3/5 - 4/5
It should be noted that they both have negative signs.
Therefore, the value will be -7/5 or - 1 2/5.
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Please answer following question in picture
Answers
1. The line passing through (-14,-9) and (7,9) has the equation:
y = 6/7x + 3/2
2.The line passing through (0,-3) and (0,15) has the equation:
since the slope is undefined, hence equation of the line is not formed.
3.The line passing through (-24,-16) and (-8,-6) has the equation:
y = 5/8x - 1
4.The line passing through (-8,-12) and (12,13) has the equation:
y = 5/4x - 2.
Given we have the pair of points, through which we need to determine the equation of the line:
1. (-14,-9) and (7,9)
first we need to find the slope
(-14,-9) = (x₁,y₁)
(7,9) = (x₂,y₂)
m= y₂₋y₁/x₂₋x₁
= 9-(-9)/7-(-14)
= 18/21
m= 6/7
Use the slope and one of the points to find the y-intercept b:
(7,9) and m= 6/7
substitute in y=mx+b
9=6/7(7) + b
b = 9/6
b= 3/2
now substitute m=6/7 and b= 3/2 in slope intercept form.
y = 6/7x + 3/2
2. (0,-3) and (0,15)
first we need to find the slope
(0,-3) = (x₁,y₁)
(0,15) = (x₂,y₂)
m= y₂₋y₁/x₂₋x₁
= 15-(-3)/0-0
= undefined
hence we can't frame the equation of the line.
3. (-24,-16) and (-8,-6)
first we need to find the slope
(-24,-16) = (x₁,y₁)
(-8,-6) = (x₂,y₂)
m= y₂₋y₁/x₂₋x₁
= -6-(-16)/-8-(-24)
= -6+16/-8+24
= 10/16
m= 5/8
Use the slope and one of the points to find the y-intercept b:
(-8,-6) and m= 5/8
substitute in y=mx+b
-6=5/8(-8) + b
b = -1
now substitute m=5/8 and b= -1 in slope intercept form.
y = 5/8x - 1
4. (-8,-12) and (12,13)
first we need to find the slope
(-8,-12) = (x₁,y₁)
(12,13) = (x₂,y₂)
m= y₂₋y₁/x₂₋x₁
= 13-(-12)/12-(-8)
= 25/12+8
= 25/20
m= 5/4
Use the slope and one of the points to find the y-intercept b:
(12,13) and m= 5/4
substitute in y=mx+b
13=5/4(12) + b
b = -2
now substitute m=5/4 and b= -2 in slope intercept form.
y = 5/4x - 2.
hence we get the acquired results.
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There are hard sweets and soft sweets in a bowl in the ratio 3:5 The hard sweets are blue and red in the ratio 1:4 The soft sweets are blue and red in the ratio 2:3 What fraction of the sweets are blue?
Answers
The fraction of the sweets that are blue given the ratios is 13/40.
What is the fraction of blue sweets?A fraction is a non-integer that is made up of a numerator and a denominator. An example is 2/3. 2 is the numerator and 3 is the denominator.
Ratio shows the relationship between two or more numbers. It is the number of times that one value is contained in other value(s). Ratios are used to compare two or more numbers.
We would be assuming the numbers of sweet based on the given ratios.
The number of hard sweets = 30
The number of soft sweets = 50
Number of hard sweets that are blue = (1/5) x 30 = 6
Number of soft sweets that are blue = (2/5) x 50 = 20
Total number of blue sweets =20 + 6 = 26
Total number of sweets = 30 + 50 = 80
Fraction of blue sweets = 26/80 = 13 /40
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Rewrite in simplest terms: (x +9y) — (9x -8y)
Answers
Answer:Your answer would be -8 x - 17 y
Step-by-step explanation: x - 9 x would be - 8 x
You would have to distribute the negative in the problem -(9 x- 8 y) which would make it -9 x +8 y and 9 y + 8 y is 17 y so there fore the answer is -8 x - 17 y
Triangle `CDA` is the image of Triangle `ABC` after a `180°` rotation about the midpoint of segment `AC`. Triangle `ECB` is the image of Triangle `ABC` after a `180°` rotation about the midpoint of segment `BC`.
Answers
ABCD and ABEC are parallelograms becayse a parallelogram can be divided into congruent triangles of different orientations
How to explain why ABCD and ABEC are parallelograms?The pre-image of the rotations are given as:
Triangle ABCTriangle ABCThe image of the rotations are given as:
Triangle CDATriangle ECBNotice that the triangles ABC and CDA have a common line segment AC, while the triangles ABC and ECB have a common line segment CB
The above is true, because the triangle is rotated by 180 degrees through its own midpoint
When the images of the rotations are viewed as a single shape, the view of the shape is a parallelogram
Because a parallelogram can be divided into congruent triangles of different orientations, then ABCD and ABEC are parallelograms
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Complete question
Triangle CDA is the image of triangle ABC after a 180º rotation around the midpoint of segment AC. Triangle ECB is the image of triangle ABC after a 180º rotation around the midpoint of segment BC.
Explain why ABCD and ABEC are parallelograms.
See attachment for image
Find the lengths of UV and ST and determine whether they are congruent.
Hint: Congruent line segments have the same length.
Answers
Answer:
-2, S, U, V. that was a good question.
Step-by-step explanation:
Thanks. You are known.
USING TOOLS The table shows the numbers y (in thousands) of people in a city who regularly use sharable
electric scooters x weeks after the scooters are introduced.
Time, x Number of users, y
1, 1.5
4, 2.2
6, 2.4
10, 3.9
12, 5.5
15, 6.8
20, 12.3
24, 16.4
25, 17.6
1. Write function that models the data
2. Use the model to predict the number of users after 32 weeks
Answers
From the data given, we have that:
1. The linear regression equation is given by:y = 0.69684x - 1.43675.
2. 21 users during the 32th week.
How to find the equation of best fit using a calculator?To find the equation, we need to insert the points (x,y), given in a scatter plot or in a table, in the calculator. We also have to identify the type of data that models the situation, such as linear, quadratic or exponential.
For this problem, the data is increasing somewhat linearly, hence linear regression is used.
The points of the function, from the table, are given as follows:
(1, 1.5), (4, 2.2), (6, 2.4), (10, 3.9), (12, 5.5), (15, 6.8), (20, 12.3), (24, 16.4), (25, 17.6).
Hence the the linear equation that models the data is:
y = 0.69684x - 1.43675
The value during the 32th week is found when x = 32, hence:
y = 0.69684(32) - 1.43675 = 21 (rounded up, as the first decimal digit is greater than 0.5).
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Solve for x.
3x+2
70°
Answers
Answer:
it 21
Step-by-step explanation:
rr
Compute using long division 342÷23
Answers
Answer:
342 ÷ 23 = 14.869565217 or 14 r 20
Check step-by-step explanation below for 2 methods to solve.
14.869565217 method right below
14 r 20 method at the bottom in bold and underlined
Hope this helps :)
Step-by-step explanation:
divisor
↓ ? <------ quotient
23 | 342 <------ dividend
remainder = r (the number that the divisor can't go into.
1) 23 goes into 34 one time, so we write the one on top.
1
23 | 342
2) 23 • 1 = 23 so then we subtract 23 from 34 and get 11.
1
23 | 342
- 23
1 1
3) Now we carry down the 2 and get 112.
1
23 | 342
- 23 ↓
1 1 2
4) 23 goes into 112 four times, so we write the four on top.
1 4
23 | 342
- 23 ↓
1 1 2
5) 23 • 14 = 92 so we subtract 92 from 112 and get 20.
1 4
23 | 342
- 23 ↓
1 1 2
- 92
20
6) 23 can't go into 20 so we add a decinal and a zero to 342 (dividend) and add a decimal to 14 too.
1 4.
23 | 342.0
- 23 ↓
1 1 2
- 92
20
7) Repeat the same steps again (Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor (if greater use it if less than take the next number). Then divide it by the divisor and write the answer on top as the quotient. Subtract the result from the digit and write the difference below. Bring down the next digit of the dividend (if present). Repeat the same process.)
1 4.8
23 | 342.0
- 23 ↓↓
1 1 2
- 92
200
- 1 84
16
8) Keep repeating and then we get 14.8695652174
*However, if the directions say to not continue and add the decimal and zero then we must put a remainer (r).*
1 4 r 20
23 | 342
- 23 ↓
1 1 2
- 92
20
An investment account eaming 3.85% simple interest cas $67 50 in 3 years. How much was invested? Give your answer rounded to whole cents.
Answers
The amount that was invested at the start of the 3 years that is the principal amount will be equal to $ 6051.098.
Let the principal amount that is invested be equal to x.
So, we get that:
P = x
Now, the time period t = 3 years.
Simple interest rate = r = 3.85 %
Amount after 3 years = A = $ 6750
A = P + ( P × r × t / 100)
6750 = x + ( x × 3.85 × 3 / 100)
6750 = x + 0.1155 x
6750 = 1.1155 x
x = 6750 / 1.1155
x = 6051.098
Therefore, we get that, the amount that was invested at the start of the 3 years that is the principal amount will be equal to $ 6051.098.
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Write an absolute value inequality for the graph below.
Use x for your variable.
←++
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
Answers
An absolute value inequality for given graph is |x| ≤ 6
In this question, we have been given a graph of a number line.
We need to write an absolute value inequality for given graph.
From the given graph, we can observe that the value of x lies between -6 to 6.
i.e., -6 ≤ x ≤ 6
We know that, for a real number 'm', the absolute value function for m would be,
|±m| = m
So, -6 ≤ x ≤ 6
|x| ≤ 6, which is required inequality.
Therefore, an absolute value inequality for given graph is |x| ≤ 6
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Eli broke a cell sample into 14 batches, each weighing 4.7 x 10-8 grams. How much
did the original sample weigh? Use scientific notation to express your answer.
Answers
The weight of the original sample from which all 14 batches in the task content is; 65.8 x 10-8 grams.
What is the fundamental principle of multiplication?If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
WE have been given that Eli broke a cell sample into 14 batches, each weighing 4.7 x 10-8 grams. which follows that the task content; the weight of the original sample from which the eight batches were obtained be determined.
Hence, since each of the 14 batches weighs;
[tex]4.7 \times 10^{-8}[/tex]
Therefore, the weight of the original sample can be obtained as;
[tex]4.7 \times 10^{-8} \times 14\\\\65.8 \times 10^{-8}[/tex]
However, when the weight is expressed in scientific notation, thus the weight of the original sample is;
[tex]65.8 \times 10^{-8}[/tex]
Hence, The weight of the original sample from which all 14 batches which each weighed 4.7 x 10-8 grams are obtained as required in the task content is; 65.8 x 10-8 grams.
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Write a⇀ with magnitude 10 and direction 42° in component form. Round to the nearest tenth.
Answers
The component form of the given magnitude and direction is 7.4 + 6.7i.
What is component form?A vector's component form is the ordered pair that explains the changes in the x- and y-values. A vector v's component form is written as v=vx,vy, where vx represents the horizontal distance between the initial and terminal points and vy represents the vertical displacement between both the initial and terminal points.To find the component form of magnitude 10 and direction 42°:
component form = x + iy
Then,
x = 10 cos 42° = 7.43 = 7.4y = 10 sin 42° = 6.69 = 6.7Component form: 7.4 + 6.7iTherefore, 7.4 + 6.7i is the component form of the given magnitude and direction
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PLEASE HELP! I will mark you Brainly and rate well!
Fuel Usage.
The slope can be used to represent the average rate of change, or how much one quantity changes, on average, relative to the change in another quantity. An example of a slope that changes in real-life involves units of measure such as beats per minute or kilowatts per hour.
Over a 45-day period, the amount of propane in a tank that stores propane for heating a home decrease from 500 gallons to 344 gallons.
1. Use a graph or the slope formula to show the average rate of change in the amount of propane used over the 45-day period.
2. Show all work.
3. Explain what your solution represents in the context of the situation.
Answers
Answer: this is not answer but it will help u with whoever does answer it
Step-by-step explanation:
we see here, slope is another version of finding the average rate of change. Average rate of change is finding the difference between the dependent variable (y-term) divided by the difference in the independent variable (x-term). Slope and average rate of change is exactly the same thing
Identify and extend the pattern to find the next number in the sequence 3, 12, 48, 1 92
Answers
Answer:
768
Step-by-step explanation:
The numbers are multiplying by 4 each time, Therefore the next number will be 768.
Find an equation of the line that passes through the points
(
5
,
9
)
and
(
−
2
,
1
)
. You do not need to simplify.
Answers
write the equation of the line through the points (-6,-9) and (2,5)
Answers
Answer: y2-y1 and x2-x1
Step-by-step explanation:
5-9=-4
2--6=8
-4,8
What is 3 x 10 to the power of 4 multiplied by 5 x 10 to the power of 2.
Answers
Answer:
2,025,000,000
Step-by-step explanation:
(3×10)⁴×(5×10)
8810000×2500
2,025000,000
What is the slope of y = -19
Answers
Answer: 0
Step-by-step explanation: the slope intercept form is y= mx +b. The equation here is y = -19. It means that the slope, m, is 0. You can also think about it this way. y= -19 graph will show you that for every x value, the y is at -19 since there is no rise over run. it is just a straight line at y= -19
A couch went on a 19% off sale. the sale price is given $972. what was the original price of the couch?
Answers
Answer: $1200
Step-by-step explanation:
The equation to find out the price of the couch on sale is:
972=x*0.81
(0.81 is the same as 81% or 100% - 19%)
Then this equation can be arrange to figure out x
972=x*0.81
972/0.81=x
x=1200
Answer:
$1200
Step-by-step explanation:
Given the following question:
A couch when on a 19% discount
The new price of the couch was 972 dollars
We are trying to find the original price of the couch. To find that answer we are going to use the formula to calculate the percentage.
19% of 1200
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{19\times1200}{100}[/tex]
[tex]19\times1200=22800[/tex]
[tex]22800\div100=228[/tex]
Now check our answer by subtracting 228 from our original price 1200:
[tex]1200-228=972[/tex]
[tex]=972[/tex]
Our original price is "$1200."
Hope this helps.
a rectangle that is 3 inches by 5 inches has been scaled by a factor of 6. What are the side lengths of the scaled copy?
Answers
The lengths of the scaled copy of rectangle is 18 inches by 30 inches .
Scaled by a factor : Whenever something is scaled by a factor it means that it is multiplied by that factor .
For Example , if 3 is scaled by a factor of 2 , means 3 is multiplied by 2 that is 3*2=6.
In the given question
length of rectangle = 3inches
it is scaled by factor of 6 , that means
length of scaled copy of rectangle = 3*6= 18inches.
breadth of the rectangle = 5 inches
it is scaled by factor a factor of 6 , that means
breadth of scaled copy of rectangle = 5*6 = 30inches.
Therefore , the lengths of the scaled copy of the rectangle will be 18inches by 30inches.
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A computer screen has a length of
16 inches and a width of 10 inches. What
is the area of the screen to the nearest
square centimeter?
Answers
The area of the screen to the nearest square centimeter is 0.103 m².
Given, that the length of the computer screen is = 16 inches
width of the computer screen = 10 inches
we know that 1 inch = 0.0254 m
Width = 10 inches = 10 × 0.0254 m
= 0.254 m
Length = 16 inches = 16 × 0.0254 m
= 0.4064 m
By definition,
Area = length × width
= 0.254 × 0.4064 m²
= 0.103 m²
hence we get the area of the computer screen as 0.103 m²
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find the distance AC on the number line below
Answers
Answer:
6
Step-by-step explanation:
c is on -3 and A is on 3 -3 to 3 would be 6
find the value for x
(x+63)
(4x)
Answers
Answer:
x = 21
Step-by-step explanation:
You are given expressions (x+63)° and (4x)° for alternate interior angles at a transversal crossing parallel lines. You want to know the value of x.
Alternate interior anglesWhere a transversal crosses parallel lines, alternate interior angles are congruent. That means ...
(4x)° = (x +63)°
3x = 63 . . . . . . . . divide by °, subtract x
x = 21 . . . . . . . . . divide by the coefficient of x
Explain that to me will you?
Answers
The values of x satisfying the condition of the quadratic function (f o g)(x) = 17 is; (2, 4)
How to solve quadratic equations?
We are given the functions;
f(x) = 2x - 3
g(x) = x² - 6x + 18
Thus;
(f o g)(x) = 2(x² - 6x + 18) - 3
= 2x² - 12x + 36 - 3
= 2x² - 12x + 33
Now, we want to find the value of x when (f o g)(x) = 17. Thus;
2x² - 12x + 33 = 17
2x² - 12x + 16 = 0
Factorizing this gives us;
(2x - 8)(x - 2) = 0
Thus;
2x - 8 = 0 or x - 2 = 0
x = 4 or 2
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Hey guys please help me with this thanks
Answers
Answer:
Step-by-step explanation:
boy just include the unit rate of mph and make the question solvable as easy as that, or you could use the example and change the mph
Solve for h s=2pie r squared =2 pie rh
Answers
H = S/2πr + r or (S + 2πr²)/2πr simplified and solved for the value S = 2πr² + 2πrh
Here given that S = 2πr² + 2πrh
Lets simply the equation
⇒ S = 2πr² + 2πrh
⇒ S = 2πr(r + h)
⇒ S/2πr = r + h
⇒ h = S/2πr + r or (S + 2πr²)/2πr
What is an equation?In mathematics, an equation is a formula that indicates the equality of two expressions by connecting them with the equals sign =.
The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions coupled with an equals sign.
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The pentagons ABCDE and PQRST are similar.
Find the length x of PQ .
Answers
The measure of the length PQ is 7.2
Similar shapesFigures are known to be similar if the ratio of the sides is equal to a constant "k".
In order to determine the value of k, we will use the following ratio as shown:
AB/BC = PQ/QR
Substitute the given parameters
6/2 = x/2.4
Cross multiply
2x = 2.4(6)
2x = 14.4
x = 14.4/2
x = 7.2
Hence the measure of the length PQ is 7.2
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Do you know the muffin man?
Answers
4/3 times 6/5 in simplest form
Answers
Answer:
8/5 or 1 3/5
Step-by-step explanation:
Answer:
Exact form: 8/5
Mixed Number form: 1 3/5
Step-by-step explanation:
First, let's cancel the common factor of 3
4/3 * 6/5
4 * (3*2/5)
4 * 2/5
Next, lets combine 4 and 2/5
4*2/5
8/5
We can finish this off by simplifying 8/5
8/5 = 1 3/5