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bekas [8.4K]
2 years ago
9

If Y varies directly with X solve the following :

Mathematics
1 answer:
BARSIC [14]2 years ago
5 0

Answer:

a) x = -270

b) y = 304/9 or y = 33.78

c) x = -37.8

Step-by-step explanation:

y varies directly with x so y = kx

a)

y = kx

k = y/x

k = 10/-30 = -1/3

So

y = -1/3 x

If y = 90 then

90 = -1/3 x

x = 90 *(-3) = -270

b)

k = y/x

k = -19/-4.5

k = 38/9

So

y = 38/9 x

If x = - 8 then

y = 38/9 *(-8)

y = 304/9 or y = 33.78

c)

k = y/x

k = -4.3 / 12.9

k = - 1/3

So

y = -1/3 x

If y = 12.6 then

12.6 = -1/3 x

x = 12.6 *(-3)

x = -37.8

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snow_tiger [21]

Answer:

12x+4

Step-by-step explanation:

To find the perimeter of any shape you just have to take the sum of all the sides.

In this case you would write:

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Now you just have to simplify the expression which would give you:

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So the final answer will be 12x+4

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2 years ago
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Faye pays her family phone bill, and Jonathan’s family phone bill with her card and jonathan pays her back. If Faye bill is $120
nika2105 [10]

Answer:

<u>Jonathan has to pay Faye back US$ 240  </u>

<u>Jonathan has 4 people on his bill and Faye has 6.</u>

Step-by-step explanation:

1. Let's find out the amount of the phone bills, this way:

Total of the two bills = US$ 600

Faye's bill = US$ 120 more than Jonathan's

Jonathan's bill = x

Solving for x, we can use this equation:

x + x + 120 = 600

2x + 120 = 600

2x = 600 - 120

2x = 480

x = 480/2 = 240

<u>Jonathan has to pay Faye back US$ 240  </u>

2. Let's find out the number of people on each bill, this way:

Faye has two people more on her bill than Jonathan

Number of people on Jonathan's bill = x

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We will use the following equation:

240 * (x + 2) = 360x

240x + 480 = 360x

240x - 360x = -480

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x = -480/-120

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2 years ago
If x varies directly with y and x = 3.5 when y = 14, find x when y = 18.
maks197457 [2]

Answer:

x = 4.5

Step-by-step explanation:

there's definitely other ways to solve this, but I used a proportion.

\frac{3.5}{x} = \frac{14}{18}

Then you can make this equation:

14x = 3.5 * 18

I solved for it and got 4.5 .

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3 years ago
Alma and Crystal went out to et and spent $16. They wanted to tip the waitress 15%, what was the total cost of their meal includ
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Answer:

B: $18.40

Step-by-step explanation:

100% is equal to $16 so 5% would be 16/20 or $0.80 then to get 15% you would multiply $0.80 by 3 which is $2.40. This is the tip. Then do $16 + $2.40 and the total + tip is $18.40. (Double check to make sure I'm correct)

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