Rewrite the expression with rational exponents as a radical expression by extending the properties of the integer exponents

Answer:

18 books per box

Step-by-step explanation:

This is a division problem, in order to find out how many books per box divide the amount of books by the amount of boxes. 126 divided by 7 is 18.

Answer:

[tex]18[/tex] books per box.

Step-by-step explanation:

To figure out out many books are in each box, divide the total amount by how many boxes there are.

[tex]126/7=18[/tex]

There are 18 books in each box.

:)

Answer:

x + 5x = 14

6x = 14

x = 14/6

x = 7/3

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Answer:

x + 3

Step-by-step explanation:

Given

(8x - 6) - (7x - 9)

Distribute the first parenthesis by 1 and the second by - 1

= 8x - 6 - 7x + 9 ← collect like terms

= x + 3

Answer:

Step-by-step explanation:

since it is asking for the modal that means the most so it would be 3 teachers, and when asking the median we have to change the order so it would be 2,3,4,6 and we find the middle so it would be 3.5, and the mean is the total of the numbers divided by how many numbers there are so it would 2+6+4+3=

15/10 = 1.5

A mean is an arithmetic average of a set of observations. The model number, median, and mean of the number of teachers in a car are 3, 3, and 2.46667, respectively.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

The given table can be written in the data form as 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4.

A.) The modal number is the mode of a given data set. Therefore, the mode of the given data set is 3.

B.) The median is the middle number of a given data set. Therefore, the median is 3.

C.) The mean is the average number of teachers in a car. Therefore, the mean is,

Mean = (1+1+1+2+2+2+2+3+3+3+3+3+3+4+4)/15 = 37/15 = 2.46667

Hence, the model number, median and the mean of the number of teachers in a car is 3, 3, and 2.46667, respectively.

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Answer

10) 36

11)2001

Step-by-step explanation:

Answer:

10. 36 (exact answer), 30 or 30.16 (estimated answer).

11. 2001 (exact answer), Undefined, or 1900 (estimated answer).

Step-by-step explanation:

For number 10, the exact answer is 36 and the estimated is 30 or 30.16. Why?

-To have the exact answer we have to divide 903.6  ÷ 25.1 = 36.  

-To have the estimated answer we have to round 903.6 and 25.1, as 903.6 is close to 900 and not 1,000, and 25.1 is close to 30 and not to 20. The equation is 900  ÷ 30 = 30.

-To make sure that the exact answer is correct, we have to multiple 25.1 and 36 = 903.6.

-To make sure that the estimated answer is correct, we have to multiple 30 and 30 = 900.

-But there's a problem, they can be two answers for the estimated answer 1). 30, and 2). 36.16. Process: 904 ÷ 25 = 36.16. Why? As they are decimal points, it may be that we have to round them but not the whole number, but the question doesn't specify how we have to round them, so I'm not so clear about it.

For number 11, the exact answer is 2001 the estimated is 1900 or Undefined. Why?

-To have the exact answer we have to divide 760.38  ÷ 0.38 = 2001.

-To have the estimated answer for the undefined we have to round 760.38 and 0.38, as 760.38 is close to 800 and not to 700, and 0.38 is close to 0 (0.00) and not to 1 (1.00). The equation is 800 ÷ 0.00 = Undefined.

-To make sure that the exact answer is correct, we have to multiple 2001 and 0.38 = 760.38.

-But there's a problem, they can be two answers for the estimated answer 1). Undefined, and 2). 19. Process: 760  ÷ 0.40 = 1900. Why? As they are decimal points, it may be that we have to round them but not the whole number, but the question doesn't specify how we have to round them, so I'm not so clear about it.

Answer:

3

Step-by-step explanation:

2a+6=12

Step 1: Subtract 6 from both sides.

2a+6=12

-6 -6

2a=6

Step 2: Divide both sides by 2.

2a/2=6/2

a=3

Answer:

a= 3

Step-by-step explanation:

2a+6=12

2a=12-6

2a=6

a=6/2

a=3 #

Answer:

C

Step-by-step explanation:

Im not exactly sure about this, but i think for the first step, you would do 120*35/100=42 (35/100 is 35%). Then you take 120 and subtract 42, cuz thats how much you took off. 120-42=78. Then, you do 78/120*100 to get the percent you have left. 78/120*100=65%. The simpler way to do it, seeing as there arent mutiple sales on this pair of shoes, is just subtract 35 from 100 to get 65%

Answer:

c: 65% of the answer

Step-by-step explanation:

$120 is 100% we need to find the discount which is 100%-35% = 65%

You will pay now $78 for the shoes.

cross-check 120/100*65 = $78

it’s d; f(x)= 12 (2/3)^x

Answer: 42

Step-by-step explanation: 35 divided by 5=7 so 35+7=42

x + 13 = 7x+1

Subtract x from both sides:

13 = 6x +1

Subtract 1 from both sides:

12 = 6x

Divide both sides by 6:

x = 2

Answer:

x=2

Step-by-step explanation:

x+13=7x+1

6x=12

x=2

Solve the following equation : 2x+3x= 40

then, multiply the value of "x" by 2.

Hope it helps

the total number of feet they jog is 950 feet.

Answer: B 6xy2

Step-by-step explanation:

because 90xy3 and 12xy are made by 6xy2.

Answer:

She needs to score 82

Step-by-step explanation:

Mean of five test scores = 82

Let the score she got in fifth test = x

[tex]\frac{84+93+91+60+x}{5}=82\\\\\frac{328+x}{5}=82\\\\328+x=82*5\\\\328+x=410\\\\x=410-328\\\\x=82[/tex]

Answer:

289 units

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = πd ( d is the diameter )

Here C = 907.46 , thus

907.46 = πd ( divide both sides by π )

d = [tex]\frac{907.46}{\pi }[/tex] ≈ 289 units ( nearest whole number )

Answer:

[tex]d = 288.84 \: \: \: units[/tex]

Step-by-step explanation:

Using the formula

[tex]c = 2\pi \: r[/tex]

Solving for r

[tex]r = \frac{c}{2\pi} = \frac{907.46}{2\pi} \\ = 144.42674 \\ [/tex]

Now lets find the diameter

[tex]d = 2r \\ d = 2 \times 144.42 \\ d = 288.84 \: units[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

(3,12)

Step-by-step explanation: The slope is rise over run so the rise is x and run run is the y

Answer:

36 km

Step-by-step explanation:

By dividing 45 by 60 you make it into .75 per minute therefore by multiplying by 48 you get your answer which is 36 km

Answer:

36 km

Step-by-step explanation:

We are given a speed in km per hour. Since 1 hour = 60 minutes, we can find the speed in km per minute.

45 kph = 45 km/hour = 45 km/(60 minutes) = 0.75 km/minute

Now that we know the speed in km per minute, we multiply the speed by 48 minutes to find the distance traveled in 48 minutes.

0.75 km/minute * 48 minutes = 36 km

Answer:

40 adults and 140 kids

Step-by-step explanation:

Answer:

40 adults

Step-by-step explanation:

40 adults and 140 kids

20 times 7 is 140

40 plus 140 is 180

Answer:

4/5 is the largest

convert them into decimals (idk what they are called) but basically, 4/5 is 0.8, 1/2 and 3/6 are 0.5 and 5/8 is 0.625

when you look at the numbers this way, 4/5 is the largest

Answer:4/5

Step-by-step explanation:1/2=50% 4/5=80% 5/8=63.5% 3/6=50%. The largest is 80% which is 4/5

Answer:

Both.

Step-by-step explanation:

[tex]x^2=4[/tex]

[tex]x=\±\sqrt{4}[/tex]

[tex]x=\± 2[/tex]

Answer:

Yes

Step-by-step explanation:

If,

X² = 4

Taking square root on both sides

[tex]\sqrt{x^2} = \sqrt{4}[/tex]

So, It becomes

X = ±4

Either

X = 2    OR     X = -2

Answer:

D) Communicative Property of Multiplication

Please give brainliest -3-

Answer:

4, 5, 6

Step-by-step explanation:

Represent the first number by x.  Then the next two consecutive integers are x + 1 and x = 2.  

THEN x + x + 1 + x + 2 = 15, WHICH REDUCES TO 3x + 3 = 15.

Then 3x = 12, and x = 4.

The consecutive integers are 4, 5 and 6.

Answer:

2^3 or 8

Step-by-step explanation:

[tex]4^3\div 2^3= \\\\(2^2)^3\div 2^3= \\\\2^{2\cdot 3}\div 2^3= \\\\2^6\div 2^3=\\\\2^{6-3}=\\\\2^3=\\\\8[/tex]

Hope this helps!

Answer:

8

Step-by-step explanation:

subtract because it is division

2³

=2x2x2

=8

hope it helps- can u pls mark as brainliest?

Answer:

6n

Step-by-step explanation:

Answer:

6n

Step-by-step explanation

1) the sum of n and 6

2) the product of 6 and n

3) the sum of 6 and n

addends can be reversed due to the communicative property of addition

since the second one represents a product of 6 and n,

it is the one that does not, though, if it were the product of 6 and n divided by 6, then plus 6, it would represent

Answer:

The digit goes to the right of the decimal point

Step-by-step explanation:

If you had [tex]\frac{1}{10}[/tex], you would convert that to 0.1, which is equivalent to the fraction form. The one goes on the right of the decimal point.

Answer:

-2x-6

Step-by-step explanation:

Look at the attachment