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Kisachek [45]
3 years ago
13

I need an answer ASAP -

Mathematics
1 answer:
lions [1.4K]3 years ago
7 0

Answer:

y=4x+5

Step-by-step explanation:

x= the number of hours

y= total number of money

4x means each hour = 4 dollars

5 = the rent of the shoes

Therefore, y = 4x + 5

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If y varies directly as x and z and y=4 when x=6 and z=1 find y when x=7 and z=4
yawa3891 [41]

<u>Answer-</u>

<em>The value of y is \dfrac{56}{3} when x=7 and z=4.</em>

<u>Solution-</u>

As given in the question, y is directly proportional to x, so

y\propto x   -----------------1

And also y is directly proportional to z, so

y\propto z   -----------------2

Combining equation 1 and 2,

\Rightarrow y\propto x.z

\Rightarrow y=k.x.z

Where,

k = proportionality constant

When x=6 and z=1, y=4. Putting theses values,

\Rightarrow 4=k\times 6\times 1

\Rightarrow 4=6k

\Rightarrow k=\dfrac{4}{6}

\Rightarrow k=\dfrac{2}{3}

Now, we have to find the value of y, when x=7 and z=4

\Rightarrow y=\dfrac{2}{3}\times 7\times 4

\Rightarrow y=\dfrac{56}{3}

Therefore, the value of y is \dfrac{56}{3} when x=7 and z=4.

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Answer:

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Step-by-step explanation:

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