Andre is helping his father build a toy box for his little brother. The amount of space inside the toy box can be found by multiplying its width, length, and height. Write the amount of space, using an exponent. Then evaluate.

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Answer 1

Answer: I’d love to help however there are no measurements included

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Henry can ride his bike 23 miles in 2 hours. The store is six miles away. About hoe long should it take Henry to ride his bike to the store?

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It would take Henry about 0.52 hours.

Or 13/25 hours if you needed it in fraction form

Help asap please!Add 4p^2+6 / 4p^2 + 2p-2 / 10p

Which statements are true about adding the rational expressions? Check all that apply

The least common denominator is 20p
.
The first fraction rewritten with the LCD is 20p^2+30 / 20p^2

The second fraction rewritten with the LCD is 4p - 4 / 20p

The sum is 24p^2-,4p+30 / 20p^2 = 12p-2p+15 / 10p^2

The sum is a rational expression.

Answers

I have to rewrite the expressions because they look very confusing.

1) The given fractions to add are:

4p² + 6        2p - 2
------------ + ------------
     4p²             10p²

2) The statements to asses are:

A) The least common denominator is 20p
.
B) The first fraction rewritten with the LCD is (20p² +30) / 20p²

C) The second fraction rewritten with the LCD is (4p - 4) / 20p

D) The sum is (24p² -4p +30 ) / 20p² = (12p-2p+15) / 10p^2

E) The sum is a rational expression.

This is the result for each statement.

A) The least common denominator is 20p

FALSE: THE LCD IS 20p², because it the least expression that contains all the prime factors of both denominators: 4p² and 10p.

See that you cannot divide 20p by 4p² but you can divide 20p² by 4p² and 10 p. So, 20p is not a common denominator.
.
B) The first fraction rewritten with the LCD is (20p² +30) / 20p²

TRUE: you get this expression from the first fraction by multiplying both numerator and denominator by 20p² / 4p² = 5:

(4p² + 6)×5 = 20p² + 30

(4p²)×5 = 20p²

=>

20p² + 30
--------------
      20p²

C) The second fraction rewritten with the LCD is (4p - 4) / 20p

FALSE: you have to multiply both numerator an denominator by 20p² / 10p = 2p

(2p - 2) × 2p = 4p² - 4p

10p × 2p = 20p²

So, the second fraction rewritten with the LCD is:

4p² - 4p
-----------
    20p²

D) The sum is (24p² - 4p +30 ) / 20p² = (12p-2p+15) / 10p²

TRUE

20p² + 30        4p² - 4p         24p² - 4p + 30
-------------- +   --------------- = ----------------------
      20p²              20p²                    20p²

And when you simplify the last fraction dividing by 2 you get:

12p² - 2p + 15
-----------------------
          10p²

E) The sum is a rational expression.

TRUE:

The sum of rational number has the closure property which means that by adding rational expression you will always ge a rational expression.

the 2nd, 4th, and 5th statements are correct. Let me know if you have questions on how to do the problem..

Which expression is equivalent to (12x−5y−1)+(17y−4−13x−3y)?which one is it?

1. −4x+12y−5
2. −x+9y−5
3. −x−25y+5
4. 25x−19y+3

Answers

The expression that is equivalent to the given expression is -x+9y−5. The correct option is 2. −x+9y−5

From the question,

We are to determine the expression which is equivalent to the given expression.

First, we will simplify the given expression

The given expression is (12x−5y−1)+(17y−4−13x−3y)

The expression can be simplified as shown below

(12x−5y−1)+(17y−4−13x−3y)

12x−5y−1+17y−4−13x−3y

Collect like terms

12x−13x+17y−5y−3y−4−1

This becomes

-x+9y−5

The simplified expression is -x+9y−5

Hence, the expression that is equivalent to the given expression is -x+9y−5. The correct option is 2. −x+9y−5

Learn more on simplifying expressions here: brainly.com/question/10618632

Answer:

The correct answer is 2. -x+9y-5

Explanation:

All you have to do is to remove the parentheses, collect the like term and then simply.

You borrow $2,000 for a period of 4 years you are charged simple interest at a rate of 3% how much will you repay at the end of 4 yearshow would I show my work

Answers

at the end of 4 years you will pay a extra 240 dollars

a figure has reflected symmetry across line a. line a passes through the figure. which statement is not true about the figure.

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Answer:

hard stuff i can't answer

AnswerAnswerAnswerAnswerAnswerAnswer

The correlation coefficient r between an employee’s age, x, and yearly salary, y, is 0.633. What percent of the variation in yearly salaries can be explained by differences in the employees’ ages? 31.7% 63.3% 15.8% 40.1%

Answers

The variation in the yearly salaries can be explained by the differences in employee ages up to40.1%.

When given the correlation coefficient of two variables, you can find out how much of the variation in the dependent variable can be explained by the independent variable by the formula:

= (Correlation coefficient)² x 100%

= 0.633² x 100%

= 0.4007 x 100%

= 40.1%

In conclusion, 40.1% of the variation in salary can be explained by age.

Find out more at brainly.com/question/3560028.

Answer:

The answer is 40.1%

Step-by-step explanation:

I just took the test

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