Question

Marty earns $24 per hour. Marissa earns a base weekly salary of $100 plus $8 per hour.

Answer 1

The answer is C. 6.25 hours.

Answer 2

Answer:

A ) The Time at which both will earn same amount is T = 6.25 hours        B ) The shorter length is 6 cm  

Step-by-step explanation:

Given as :

A ) The amount earn by Marty = $24  per hour

The amount earn by Marissa = $100 weekly + $8 per hour

Let The number of hours they work to earn same amount = T hours

So, 24 T = 8 T + $100

Or,  24 T - 8 t = $100

Or, 16 T = $ 100

So, T = $\frac{100}{16}$

Or, T = $\frac{25}{4}$

∴   T = 6.25 hours

B ) Given expression as :

  y = x + 2  

  2 x +  3y = 36

Now put the value of y from first to second eq :

So ,   2 x +  3×( x + 2 ) = 36

Or,     2 x +  3 x + 6 = 36

Or,      5 x = 30 - 6

Or,      5 x = 30

∴            x = $\frac{30}{5}$ =  6

And    y = x + 2

So,     y = 6 +2 = 8

So, The shorter length is 6 cm

Hence The Time at which both will earn same amount is T = 6.25 hours  And      The shorter length is 6 cm     Answer