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3 years ago

Factor out the greatest common factor of the expression below using the distributive property.

Mathematics

2 answers:

Umnica [9.8K]3 years ago

6 0

Greatest common factor which is 30

sashaice [31]3 years ago

4 0

It's a. Because 30 is the highest number that works out of those. (Also 3 and 2 are prime so it can't get smaller than that:) If you need an explanation of how this works, just ask. Hope it helps:) <span />

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A rectangular prism shaped toy box is 52 centimeters long. The perimeter of one side of the box is 90 centimeters. The height of

Archy [21]

Answer:

The volume of the toy box is 25688 cubic centimetres

Step-by-step explanation:

The 6 faces of a rectangular prism are rectangles, each two opposite faces are equal in dimensions, its dimensions are L, W, H, so two faces has dimensions L , W, two faces L , H and two faces W , H

The formula of the volume of it is V = L × W × H

∵ The toy box is shaped a rectangular prism

∵ The toy box is 52 cm long

∴ H = 52 cm

∵ The perimeter of one side is 90

- Perimeter of any rectangle is twice the sum of its dimensions

∴ Twice the sum of two dimensions of the side = 90 cm

- Divide it by 2 to find the sum of the two dimensions

∴ The sum of two dimensions = 90 ÷ 2 = 45 cm

The sum of two dimensions is less than the height of the box, that means 45 is the sum of the other two dimensions L and W

∵ L + W = 45

∵ The height of the box is is twice as long as it’s width

∴ H = 2 W

∵ H = 52 cm

∴ 52 = 2 W

- Divide both sides by 2

∴ 26 = W

∴ W = 26 cm

Substitute the value of W in the equation of the sum of the two dimensions to find L

∵ L + 26 = 45

- Subtract 26 from both sides

∴ L = 19 cm

∵ V = L × W × H

∴ V = 19 × 26 × 52

∴ V = 25688 cm³

The volume of the toy box is 25688 cubic centimetres

7 0

3 years ago

BINOMIAL MULTIPLICATION<br> 1. (2x + 1)(x + 3)

goldfiish [28.3K]

2x^2 + 7x + 3 ; you multiple each the terms in the first set or parentheses by the other

4 0

3 years ago

Isolate I for the literal equation V = IR

Anit [1.1K]

In order to isolate any term from an equation we need to clear out any different variable or numbers different from the one we want

$V=IR$

in this case I is being multiplied by R, so we need to do the opposite which is divide in order to eliminate

$V=\frac{IR}{R}$

But since this is an equality we must do it on both sides so de equation does not get altered

$\frac{V}{R}=\frac{IR}{R}$

Then we simplify the equation

$I=\frac{V}{R}$

3 0

1 year ago

There are two values of a for which the equation 5x2+ax+7x+5=0 has only one solution for x. What is the sum of those values of a

JulsSmile [24]

Answer:

-14

Step-by-step explanation:

First of all, we know that 5x^2+ ax+7x +5=0 only has one root. That means that b^2 - 4ac=0, and we can use this to find the discriminant, ax + 7x.

Now, if we simplified 5x^2+ ax+7x +5=0, by dividing it all by 5, it would be x^2+(a+7)/5x + 1 = 0.

After, we can plug what we know into the formula, b^2 - 4ac=0. It would be:

(a+7)^2 / 25 - 4 = 0

(a+7)^2 / 25 = 4

(a+7)^2 = 100

Since this is a square root, a+7 can be both negative or positive.

a+7= 10, or a+7 = -10

a=3, or a=-17

The question asks for the sum of a, which is 3 + (-17) = -14

Therefore, the answer is -14.

:) have fun with your rsm problems, assuming you got this from the portal.

7 0

3 years ago

What is the number to 110% of 70?

meriva

The answer is 77. if you do it the opposite way and multiply

3 0

3 years ago

Read 2 more answers