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noname [10]
3 years ago
13

Suppose y varies directly with x, and y = 24 when x = 8. What is the value of y when x = 10?

Mathematics
2 answers:
Anika [276]3 years ago
8 0
The statement suppose <span>that y varies directly with x is best represented as:

y </span>α x

To make it into equality, we insert a proportionality constant, k:

y= kx

Using the initial conditions, we solve for k.

y= kx
<span>y = 24 when x = 8
</span><span>
24 = k(8)
k =3

Thus, when </span><span>x = 10</span><span>,
</span>
y = 3(10)
y = 30
Solnce55 [7]3 years ago
6 0
First, you want to set up a proportion.

8/24 = 10/y

Cross multiply to get

240 = 8y, then divide 8 from both sides to get y = 30.
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3 years ago
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Answer:

1.) \frac{5}{4\\}

2.) \frac{4}{3}

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Step-by-step explanation:

The 2 steps for all of these is to get common denominators and then add and simplify.

1.) 3/4 + 1/2 (common denominator) 3/4 + 2/4 = 5/4

2.) 5/6 + 1/2 (common denominator) 5/6 + 3/6 = 4/3

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5.) 7/8 + 1/4 (common denominator) 7/8 + 2/8 = 9/8

6.) 3/8 + 1/2 (common denominator) 3/8 + 4/8 = 7/8

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