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2 years ago

7

3(4x + 10) = 12x + 20How many solutions does this equation have ?

1 answer:

Damm [24]2 years ago

7 0

There’s No solution

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A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len

Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

$Area = 135yd^2$

$L=3W - 12$

Required

Determine the length of the rectangle:

Area is calculated as thus:

$Area = L * W$

Substitute 3W - 12 for L and 135 for Area

$135= (3W - 12) * W$

$135= 3W^2 - 12W$

Reorder:

$3W^2 - 12W - 135= 0$

Divide through by 3

$W^2 - 4W - 45 = 0$

Expand:

$W^2 - 9W + 5W - 45 = 0$

$W(W - 9) + 5(W - 9) = 0$

$(W + 5)(W-9) = 0$

$W + 5 = 0$ or $W - 9 = 0$

$W = -5$ or $W = 9$

But width can't be negative

So:

$W = 9$

Recall that: $L=3W - 12$

$L = 3 * 9 - 12$

$L = 15$

<em>Hence, the length 15 yards</em>

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3 years ago

Write an expression so that when you divide ¼ by a number the quotient will be greater than 1/4.

SVETLANKA909090 [29]

Hello There!

An example of this would be:
$\frac{6}{1/4}$
6 = $\frac{6}{1}$
$\frac{6}{1} * \frac{4}{1}$
= $\frac{24}{1}$
= 24

Hope This Helps You!
Good Luck :)

- Hannah ❤

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