MATHEMATICS MIDDLE SCHOOL

Divide. Check your answer 1. 837 ÷ 36

2. 1,650 ÷ 55

3. 5,634 ÷ 18

4. 7,231 ÷ 24

5. 5,309 ÷ 43

6. 3,774 ÷ 37

7. 1,099 ÷ 54

8. 6.440 ÷ 28

9. 5,256 ÷ 52

10. 1,955 ÷ 85

11. 5,624 ÷ 46

Answers

Answer 1
Answer: 1.   23.25

2.    30

3.   313

4.    301.3

5.   123.5

6.   102

7.     20.4

8.   134.2

9.   101.1

10.   23

11.  122.3
Answer 2
Answer: 1. 23.25
2. 91.7 (rounded)
3. 313
4. 301.3 (rounded)
5. 123.5 (rounded)
6. 102
7. 20.4(rounded)
8. 230 or .23(you have a decimal written down)
9. 101.1(rounded)
10. 23
11. 122.3(rounded)

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PLEASE ANSWER AND EXPLAIN. THE QUESTION IS ON THE PHOTO

A sphere and the base of a cone have a radius of 3 inches. The volume of the sphere equals the volume of the cone. what is the height of the cone, in inches?

Answers

So the volume of a sphere is V= (4)/(3) \pi r^3 , and the volume of a cone is V= \pi r^2 (h)/(3) (h=height, r=radius). Knowing only the radius, we can solve for the volume of the sphere. (Also I'm going to be leaving answers in pi form.)

V= (4)/(3) \pi 3^3
Solve the exponents to get V= (4)/(3) \pi 9
Multiply 4/3 and 9 to get V=13.5 \pi


Now that we know the volume of the sphere, we can solve for the height of the cone since the volumes for both are the same.

13.5 \pi = \pi 3^2 (h)/(3)

Solve the exponents to get 13.5 \pi =9 \pi (h)/(3)

Divide 9 \pi on each side to get 1.5= (h)/(3)

Multiply 3 on each side, and your answer should be 4.5=h

A school has 679 bottles of water for sports day.They buy another 8 packs of bottled water.
Each pack contains 6 bottles.
How many bottles of water do they have in total?

Answers

The school starts off with 679 bottles of water. 

They then buy 8 packs with 6 bottles in each: 
8 X 6 = 48

To calculate the total you must add the amount of bottles they originally had to the amount of purchased bottles:
679 + 48 = 727

The school therefore has 727 bottles of water in total. 
727 because first you need to find out the amount which is 4*6 then you need to add it together 679+48 check it over just in case

Conrad has a collection of three types of coins: nickels,dimes, and quarters. There are five more nickels than quarters but fours times as many dimes as quarters. If the entire collection is worth $5.85, how many nickels,dimes, and quarters are there?

Answers

2 nickles 3 dimes and 4 quarters 

What is 9/10 as a decimal and percent

Answers


To find the decimal from a fraction, divide the numerator by the denominator.

To get the percent. multiply the decimal by 100.

So, the answer as a decimal is 0.9

the answer as a percent is 90%

Hope it helps!!!!!!!
For a decimal, it is 9/10 literally 9 divided by 10 = 0.9
Rewrite 9/10 as a fraction over 100 9/10 = 90/100 = 90%

Hope I helped!

How do you write 1.075 in word form

Answers

1.075 = one and seventy five thousandths.
one and seventy five thousandths.

Explain why you must simplify 3 to the second power first

Answers

Because you have to go in the order of PEMDAS, parenthesis, exponents, multiplication, division, addition, and subtraction. From what you are saying, 'why you must simplify 3 to the second power first' it seems that you have no parenthesis, so you move onto what is next, which is exponents, in this case, 3 to the power of two.
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