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3 years ago

Multiply: 5 • (-3)

Mathematics

2 answers:

love history [14]3 years ago

7 0

Answer:

The product of 5 and 3 is 15.

Statement: The product of a positive and a positive is a positive.

Step-by-step explanation:

5 x 3 = 15

It is a positive

slamgirl [31]3 years ago

6 0

Answer:

$-15$

Step-by-step explanation:

We can factor out a 1 from -3 to get $5\cdot(-3)=5\cdot-1\cdot3=-1(5\cdot3)$ .

We know from simple arithmetic that $5\cdot3=5+5+5=10+5=15$ .

So, our answer is $-1(15)=\boxed{-15}$

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3 years ago

3x + 7m + 4x - 5m + 25

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2 years ago

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3 years ago

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