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3 years ago

(4x2 - 10x -24) (2x + 3)

Mathematics

1 answer:

jeyben [28]3 years ago

3 0

Answer:

Apply BODMAS

Step-by-step explanation:

PLEASE FIND THE PICTURE BELLOW

SOLUTION STEPS

(4⋅2−10x−24)(2x+3)

Multiply 4 and 2 to get 8.

(8−10x−24)(2x+3)

Subtract 24 from 8 to get −16.

(−16−10x)(2x+3)

Apply the distributive property by multiplying each term of −16−10x by each term of 2x+3.

−32x−48−20x

−30x

Combine −32x and −30x to get −62x.

−62x−48−20x

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The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his

steposvetlana [31]

The number of basketball that will fill up the entire office is approximately 16,615.

Recall:

Volume of a spherical shape = $\frac{4}{3} \pi r^3$

Volume of a rectangular prism = $l \times w \times h$

Given:

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

First, find the volume of the basketball:

Volume of ball = $\frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\$

Volume of basketball = $448.92 $ in^3$

Convert to $ft^3$

$1728 $ in.^3 = 1 $ ft^3$

Therefore,

Volume of basketball = $\frac{448.92}{1728} = 0.26 $ ft^3$

Find the volume of the office (rectangular prism):

Volume of the office = $20 \times 18 \times 12 = 4,320 $ ft^3$

Number of basket ball that will fill the office = Volume of office / volume of basketball

Thus:

Number of basket ball that will fill the office = $\frac{4,320}{0.26} = 16,615$

Therefore, it will take approximately 16,615 balls to fill up the entire office.

Learn more here:

brainly.com/question/16098833

6 0

3 years ago

Teresa is 25 years old, and she makes $30,000 per year. If Teresa were to die,

REY [17]

Answer:

They would receive $22,500 which is 75% of her income

Step-by-step explanation:

Here, we want to know how much the beneficiaries of a life insurance scheme would receive if their principal die.

From the question, we are told that they have the right to claim 75% of her income

From the question also, we were told that what she earns per annum is $30,000

Now, since they have the right to claim 75%, the amount they can claim out of the said income will be;

75/100 * $30,000 = $22,500

3 0

4 years ago

Grandfath

Anestetic [448]

Answer:

Step-by-step explanation:

First, write an equation to represent the situation.

34 = 2a + 12

This equation works because your combined age is half of 68, so 34. If your age is a, then yours sister's age is a + 12. if you add your age to your sister's, you get 2a + 12.

Now just solve for a.

34 = 2a + 12

First, subtract 12 from both sides.

22 = 2a

Then divide both sides by 2.

11 = a

So you are 11 years old. If you need to check your work, your age (11) plus your sister's age (11 + 12, which is 23) is 34, which is half of your grandfather's age.

5 0

3 years ago

Please help me klkkfljfjfhcnfnf

mrs_skeptik [129]

Answer:

0.0017

Step-by-step explanation:

A percent is part of 100%. It converts to a decimal by moving the decimal point two place values to the left.

For example, 60%=0.60

For 0.17% = 0.0017

4 0

4 years ago

2. Which is the following equation rewritten in slope-intercept form: -8x = 2 - 2y

Anna007 [38]

Answer:

B, y = 4x + 1

Step-by-step explanation:

to get it into y- intercept form we need to write it in the form y = mx + b

-8x = 2 - 2y, move 2y to the other side and -8x to the other side they both become positive.

2y = 8x + 2, dividing each by 2

yields y = 4x + 1

Hope this helps

8 0

3 years ago