MATHEMATICS MIDDLE SCHOOL

You have a large beach ball that has a radius of 15 inches. What is the volume of the ball? Use 3.14 for pi.

Answers

Answer 1

Answer:

Answer:

Therefore,

$\textrm{Volume of Ball}=14130\ inches^(3)$

Step-by-step explanation:

Given:

Spherical Shape Ball

$Radius =15\ inches$

pi = 3.14

To Find:

Volume of Ball= ?

Solution:

Formula for Volume of Sphere is given by

$\textrm{Volume of Sphere}=(4)/(3)\pi (Radius)^(3)$

Substituting the given values we get

$\textrm{Volume of Ball}=(4)/(3)* 3.14* 15^(3)=14130\ inches^(3)$

Therefore,

$\textrm{Volume of Ball}=14130\ inches^(3)$

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A bank requires a monthly payment of $32.88 on a $2500 loan. At the same rate find the monthly payment on a $50,000 loan

Answers

$657.6

Step-by-step explanation:

Step 1:

Given,

Principal = $2500

Monthly payment = $32.88

Step 2 :

The amount of monthly payment and the principal amount are in direct proportion , that is when the principal amount increases the monthly payment increases and when the principal decreases the monthly payment decreases.

Step 3 :

The monthly payment for $2500 is $32.88

Therefore for a principal of $50000, the amount of monthly payment is

32.88 *50000/2500 = $657.6

Sandy orders 20 bread rolls for her party and three fifths of the rolls are whole wheat.What other fraction can represent the part of the rolls that are whole wheat?

Answers

If you multiply both the numerator and the denominator by 4 then 3/5 is equal to 12/20

The fraction that can represent the wheat portion is 3/5

Emily and Sarah had a total of $80. After Sarah spent 1/3 of her money and Emily spent $17, Emily had twice as much money as Sarah. How much more money did Emily have than Sarah at first?

Answers

Emily = E
Sarah = S

At the end

E = 2S (Because Emily has double Sarah)
E -> E + 17 (To make up the $17 she spent)
2S -> 3S (Because 2S is two thirds the amount Sarah had, as she spent a third)
E + 17 + 3S = 80 (Because their original amounts were equal to $80)
E + 3S = 63 (Simplifying equation)

I think Emily had 3x as much as Sarah

Lisa wants to frame her little brothers drawing as a gift to her mother. The rectangular drawing is 43.5 cm x 934 mm how many centimeters of wood framing will she need

Answers

she will need 273.8 cm

934mm =93.4 cm

43.5 x 2 = 87

93.4 x 2 = 186.8

add
186.8 + 87 =273.8

Hope this helped!!

Ralph won't sell the christmas trees on his farm until they are of 70 inches tall . The trees he has now are an average of 12 inches tall and the trees grow about half inch every month. How many months will it be until Ralph will sell his trees? What is the inequality? How do you solve the inequality

Answers

You Do 12 x 6 and your answer is 72 so only 1 month.

Answer:

12X6=72

Step-by-step explanation:

the answer is one month

three friends earned more than $200 washing cars. they paid their parents $28 for supplies and divided the rest of money equally. write an inequality to find possible amounts each friend earned. identify what your variable represents.

Answers

Let the original amount they earned be x.

They earned more than $200, therefore x > 200

They paid their parents $28, assuming all the parents got $28

So we remove 28 from both sides of the inequality

x -28> 200-28

Let y be the amount left after paying their parents, and replace (x -28) with y in the inequality above.

y> 200-28

y> 172

Amount each got, divide both sides of the inequality by 3.

y/3 > 172/3

Let amount each got after dividing equally be z, replace (y/3) with z in the inequality above

z > 172/3

z > 57.33

Each got more than $57.33

28x+86≤200 because for supplies they divide the rest of money. that means, 200-28=172 so 172/2=86 now we gonna find the value of x.
28x+86≤200 i am gonna subtract 86 both of side 28x+86-86≤200-86 to get value of x.
28x≤114 divide 28 both of side to get value of x so it will be x≤4

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