All categories

3 years ago

Use the distributive property to write an expression that is equivalent to 6(w - 4)

Mathematics

2 answers:

Semmy [17]3 years ago

8 0

Answer:

6w-24

Step-by-step explanation:

You would distribute 6 into the parentheses, which would turn (w-4) to 6w-24

koban [17]3 years ago

4 0

Answer:

(w - 4)6

Step-by-step explanation:

its the same exact thing but if you're looking for the simplified version then it's 6w-24

You might be interested in

Write a system of linear equations with -3,9 as its solution

lozanna [386]

Let the variable of the equation be x.

Solution of the equation is given to us, hence,

x = -3 and x = 9

x + 3 = 0 and x - 9 = 0

Multiplying,

(x + 3)(x - 9) = x² - 9x + 3x - 27 = x² - 6x - 27

Hence, the linear equation with solution -3 and 9 is x² - 6x - 27.

4 0

4 years ago

How would you convert 93/20 to a decimal?

anastassius [24]

In order for you to find the decimal for this problem you would have to divide both of the numbers from each other.

So for this problem you have to

Problem → $\frac{93}{20}$

Write them out → 93 ÷ 20

Answer → 4.65

So, that means that your answer is 4.65

4 0

3 years ago

A rectangular box has a base that is 4 times as long as it is wide. The sum of the height and the girth of the box is 200 feet.

enyata [817]

Answer: V(W) = (1/3)*(*W^2*800ft - 8W^3) and the domain is 0 < W < 100ft.

Step-by-step explanation:

The dimensions of the box are:

L = length

W = width

H = heigth.

We know that:

L = 4*W

And the girth of a box is equal to: G = 2*W + 2*H

then we have:

2*W + 2*H + H = 200ft

2W + 3*H = 200ft

Then we have two equations:

L = 4*W

2W + 3*H = 200ft

We want to find the volume of the box, which is V = W*L*H

and we want in on terms of W.

Then, first we can replace L by 4*W (for the first equation)

and:

2*W + 3*H = 200ft

3*H = 200ft - 2*W

H = (200ft - 2*W)/3.

then the volume is:

V(W) = W*(4*W)*(200ft - 2*W)/3

V(W) = (1/3)*(*W^2*800ft - 8W^3)

The domain of this is the set of W such that the volume is positive, then we must have that:

W^2*800ft > 8W^3

To find the maximum W we can see the equality (the minimum extreme is 0 < W, because the width can only be a positive number)

W^2*800ft = 8W^3

800ft = 8*W

100ft = W.

This means that if W is equal or larger than 100ft, the equation gives a negative volume.

Then the domain is 0 < W < 100ft.

6 0

3 years ago

X^2=7^2+8^2-2(7)(8)(cos32)

Natasha_Volkova [10]

Answer:

x ≈4.244833711

Step-by-step explanation:

x^2=7^2+8^2-2(7)(8)(cos32)

Determine the powers

x^2=49+64-2(7)(8)(cos32)

Multiply from left to right

x^2 = 49+64 - 112cos32

x^2 = 49+64 - 94.98138677

Add and subtract

x^2 =113-94.98138677

x^2 = 18.01861323

Take the square root of each side

sqrt(x^2) = sqrt(18.01861323)

x = sqrt(18.01861323)

x ≈4.244833711

x^2 =113

3 0

4 years ago

A cellphone company charges $60 for a cellphone and a monthly rate to use the phone.Regina will pay $1,140 for a 24-month cellph

Alinara [238K]

The monthly rate is $45 for this cellphone plan.

Step-by-step explanation:

Given,

Amount charged for cell phone = $60

Amount paid by Regina for 24 month plan = $1140

Number of months = 24

Let,

m be the monthly rate for cellphone plan

Number of months * Monthly rate + cellphone charges = Amount paid

$24m+60=1140\\24m=1140-60\\24m=1080$

Dividing both sides by 24

$\frac{24m}{24}=\frac{1080}{24}\\m=45$

The monthly rate is $45 for this cellphone plan.

Keywords: subtraction, division

Learn more about subtraction at:

#LearnwithBrainly

7 0

3 years ago