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uranmaximum [27]
3 years ago
5

Carolyn, Julia, and Roberta share $77 in a ratio of 4:2:1, respectively. How many dollars did Carolyn recieve?

Mathematics
1 answer:
user100 [1]3 years ago
6 0

Answer:

4x = 44 which is Carolyn's share.

Step-by-step explanation:

Equation

Use a variable to find out how the sum of the ratios would be divided up to make 77 dollars.

4x + 2x + x = 77          Combine like terms on the left            

Solution

7x = 77                        Divide by 7

7x/7 = 77/7                  Do the division

x = 11

Answer

4*11 =  44 which is Carolyn's share

2*11 = 22 which is Julia's Share

1*11 = 11  which is Roberta's share.


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4 years ago
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the bottom of a ladder must be placed 3 feet from a wall. the ladder is 12 feet long. how far above the ground does the ladder t
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Use the formula a squared plus b squared =csquared in this case you will come out with an equation like this 3sqaured + bsqaured =12squared 9+bsqaured =144 144-9= b= 135 B=approximately 11.5
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3 years ago
What is the image of the point (2,8) after a rotation of 270° counterclockwise about<br> the origin?
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Answer:

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Step-by-step explanation:

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8 0
3 years ago
Holly spends 7 3/5 hours in school each day. Her lunch is 1/2 hour long, and she spends 7/10 of a hour switching classes. The re
Ira Lisetskai [31]
<span>
y = 7 + 3/5
y = 35/5 + 3/5
y = 38/5
y = 2*(38/5)
y = 76/10
---
lunch time:
z = 1/2
z = 5*(1/2)
z = 5/10
---
time switching classes:
w = 7/10
---
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (76/10 - 5/10 - 7/10)/6
x = (76 - 5 - 7)/(10*6)
x = (64)/(10*6)
x = (2*2*2*2*2*2)/(2*5*2*3)
x = (2*2*2*2)/(5*3)
x = 16/15

x = 1.0666666666
---
check:
y = 7 + 3/5
y = 7.6
z = 1/2
z = 0.5
w = 7/10
w = 0.7
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (7.6 - 0.5 - 0.7)/6
x = 1.0666666666

answer:
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5 0
3 years ago
How to do the equation for the sum of three consecutive integers is 467
Dvinal [7]
Call n, the first of those consecutive terms, then three consecutive terms are:n, n +1, and n +2.

So, the equation will be n + (n +1) + (n +2) = 467

=> n + n + 1 + n + 2 = 467

=> 3n + 3 = 467

All of them are valid forms of the equation for the sum of three consecutive integers is 467.

You can solve it now, if you want:

3n = 467 - 3

3n = 464

n = 464 / 3

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The solution means that there are not three consecutive numbers whose sume is 467.

You can verifiy that if you take 154 + 155 + 156 = 465

And 155 + 156 + 157 = 468
4 0
3 years ago
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