What is (-4.8y + 20.1) - (12.7y + 9.3)?

Answers

Answer 1

Answer: $(-4.8y + 20.1) - (12.7y + 9.3)= -4.8y + 20.1 - 12.7y - 9.3=\n \n=-17.5y+10.8$

Answer 2

Answer: (-4.8y + 20.1) - (12.7y + 9.3) =

= -4.8y + 20.1 - 12.7y - 9.3 =

= -17.5y + 10.8

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Find the gradient of the line segment between the points (-2,3) and (-4,-2).Give your answer in its simplest form.

Answers

Given:

The two points are (-2,3) and (-4,-2).

To find:

The gradient of the line segment between the given points.

Solution:

The gradient is also known as slope.

The slope formula:

$m=(y_2-y_1)/(x_2-x_1)$

The endpoints of the line segment are (-2,3) and (-4,-2). So, the gradient of the line is

$m=(-2-3)/(-4-(-2))$

$m=(-5)/(-4+2)$

$m=(-5)/(-2)$

$m=(5)/(2)$

Therefore, the gradient of the given line segment is $m=(5)/(2)$ .

A 13 foot board is cut into two pieces. If one piece is x feet long express the other length in terms of x

Answers

Since the foot board is 13 feet long, it can be said that the sum of the two pieces is 13. If one piece is x, the other piece can be expressed as the difference of 13, the total length of the foot board, and x, the length of the first piece. Hence, the other piece, in mathematical terms, is expressed as 13-x.

Any large random sample from a group of people will be representative of the entire group.True
False

Answers

False.

In a random sample each member of the group has the same chances to be choosen. A representative sample replicates the characteristcs that you want of the group. Many times you need to make the sampling not random to pick a sample that represents or replicates the group.

The manager of the neighborhood baseball team bought 150 baseballs in boxes of 6. How many boxes did he buy?

Answers

150 baseballs
6 per box

150/6 = 25 boxes

Tia cut 4-meter 8-centimeter wire into 10 equal pieces. Marta cut a 540-centimeter wire into 9 equal pieces.How much longer is one of Martha's wires than one of Tina's?

Answers

19.2 centimeters

Explanation: Convert 4m 8cm into cm so it is 408cm. Divide 408 by 10 and you get 40.8cm. Then divide 540 by 9 and you get 60cm. 40.8 and 60 are the measurements of each piece of wire. Subtract 40.8cm from 60cm to get 19.2cm which is the answer.

Joel earns $1,700 per month. If he spends $425 on rent each month, what percent of his income does he spend on rent? A. 331/3% B. 25% C. 20% D. 40%

Answers

$(425)/(1700)$ = 0.25

0.25 × 100 = 25%

Answer is B. 25%

425/1700 x 100 = 25%
so the answer is 25%

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When Frederick was born, his grandparents gave him a gift of 2000, which was invested at an interest rate of 5% per year, compounded yearly. How much money will Frederick have when he collects the money at the age of 18? Give your answer to the nearest hundredth of a dollar.