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3 years ago

If Taryn and Alistair want to earn an additional $735 each , how many hours will each spend mowing lawns

1 answer:

5 0

If Taryn mowed 9 lawns in 7.5 hours and earned $112.50, then her hourly rate is:

$112.50 / 7.5 hrs = $15 per hour

If Alistair mowed 7 lawns in 5 hrs and earned $122.50, then her hourly rate is:

$122.50 / 5 hrs = $24.50 per hour

To earn an additional $735 each, they should work the following hours.

Taryn: $735 / $15 = 49 hours

Alistain: $735 / $24.50 = 30 hours

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3 years ago

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2 years ago

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3 years ago

A. Write an expression for the area of the shaded region.

tekilochka [14]

Answer:

A. $25x² - 64$

B. $(5x + 8)(5x - 8)$

Step-by-step explanation:

A. The area of the shaded region = area of the whole large square - area of the 4 smaller squares

= (5x*5x) - 4(4*4)

Area of shaded region = $25x^2 - 64$

B. The expression, $25x^2 - 64$ , is the difference of two perfect squares, 25x² and 64. Therefore, apply the rule of factoring difference of two perfect squares.

Thus, $a^2 - b^2 = (a + b)(a - b)$

Therefore, the expression of the are of the shaded region can be expressed in factored form as:

$25x^2 - 64 = (5x + 8)(5x - 8)$

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3 years ago