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andreyandreev [35.5K]
4 years ago
9

Multiple Choice Suppose y varies directly as x. if y = 5 when x=8, find y when x=64

Mathematics
1 answer:
Juliette [100K]4 years ago
6 0

Answer:

Step-by-step explanation:

y∞x

then

y=kx (with k as constant)

y=5 when x=8

⇒Putting this in the first equation

⇒5=k×8

⇒k=5/8

Now

y=? when x=64

Putting x=64 in the first equation

y=kx

⇒y=(5/8)×64

We get

y=40

Hope u understand

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Delicious77 [7]
Answers: 

x = 4
EF = 14
CF = 7
EC = 7

-------------------------------------------------------------
-------------------------------------------------------------

Work Shown:

C is the midpoint of segment EF. This means that EC = CF. In other words, the two pieces are congruent. 

Use substitution and solve for x
EC = CF
5x-13 = 3x-5
5x-13+13 = 3x-5+13
5x = 3x+8
5x-3x = 3x+8-3x
2x = 8
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x = 4

Now that we know that x = 4, we can use this to find EC and CF

Let's compute EC
EC = 5x - 13
EC = 5*x - 13
EC = 5*4 - 13 ... replace x with 4
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Let's compute CF
CF = 3x - 5
CF = 3*x - 5
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As expected, EC = CF (both are 7 units long).

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