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Mice21 [21]
3 years ago
14

Suppose that y varies directly with x and y = 10 when x = 20. What is y when x = 15?

Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

Answer: y = 7.5

Step-by-step explanation:

Suppose that y varies directly with x

That is, y∝x

Convert y∝x to a full equation by introducing a constant k to the right hand side.

Therefore, y = kx

Given that y = 10 and x = 20

Substitute y and x in the equation above. We have;

10 = k(20)

10 = 20k

20k = 10

k = 10/20

k = 0.5

Since k = 0.5, the equation y = kx becomes y = 0.5x

Now, to find y if x = 15, substitute x in equation y = 0.5x

Therefore, y = 0.5(15)

y = 7.5

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3 years ago
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The function C(x)=17.5x-10 represents the cost (in dollars) of buying x tickets to the orchestra with a $10 coupon. How much doe
Rudiy27

Answer:

8 tickets

Step-by-step explanation:

x = 10 in the given equation.

We have then:

C (x) = 17.5x - 10

C (10) = 17.5 * (10) - 10

C (10) = 165

Answer:

to buy 10 tickets cost:

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For this case we must make the substitution: C (x) = 130

We have then:

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130 = 17.5x - 10

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17.5x = 130 + 10

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Answer:

You can buy 8 tickets with $ 130

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2 years ago
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Mars2501 [29]

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If the ratio of the measure of the complement of an angle to the measure of its supplement is 1:3, find the measure of the angle
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3(90-x) = (180-x).  Then  270 - 3x = 180 - x, or   270 - 180 = 2x.
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Answer:

A=80

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to get B we subtract 80+69 from 180 and get 31

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3 years ago
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