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3 years ago

Elena needs to find a table that will fit three cube-shaped cases, each containing a frog.

Mathematics

1 answer:

NikAS [45]3 years ago

5 0

Answer:You could not use a table with a top that is 2 1/2 feet long and 1 1/2 feet wide

Step-by-step explanation:

The complete question is

Elena needs to find a table that will fit three cube-shaped cases, each containing a frog.If the volume of each case is 1,000 cubic inches, could she use a table with a top that measures 2 1/2 feet long and 1 1/2 feet wide?Explain

step 1

Find the length side of the cube-shaped case

we know that

The volume of the cube is equal to

where

b is the length side of the cube

we have

substitute

solve for b

step 2

Convert feet to inches

we have

step 3

Compare the dimensions of the table with the dimensions of the cube-shaped case

30 > 10

The length of the table is greater than the length side of the cube

18> 10

The width of the table is greater than the length side of the cube

therefore

You could not use a table with a top that is 2 1/2 feet long and 1 1/2 feet wide

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Subtract. Write your answer in simplest form.

vlabodo [156]

Answer: C

Work:

1) Change the Mixed number into an improper fraction
3 x 8 = 24
1+24 = 25/3

2) Get both fractions on equal terms. Find the Greatest Common Denominator. In this case, it’s 24. Multiply by what you need to get 24. 8x3=24 and 12x2=24

3) Multiply Accordingly
25/8 x 3 = 75/24
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4) Subtract and change back to Mixed Number
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3 years ago

You need 10,000 to pay for your final college tuition. you find a loan it is compounded quartely at 6.25% for 10 years. how much

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\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$10000\\
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n=
\begin{array}{llll}
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3 years ago

12x - 16 = 68<br> Solve for x

cricket20 [7]

Answer:

x = 7

Step-by-step explanation:

12x - 16 = 68

Add 16 to each side

12x - 16+16 = 68+16

12x =84

Divide by 12

12x/12 = 84/12

x = 7

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3 years ago

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A basket contains 15/16 pound of oranges .One serving of oranges is 1/8 of a pound.How many servings of oranges are there

nasty-shy [4]

Answer:

2/15 servings

Step-by-step explanation:

IF a basket contains 15/16 pound of oranges, then;

1 servings= 15/16 pounds of oranges

To get the number of servings for 1/8 pounds

x servings = 1/8 pounds

Divide both expressions

1/x = (15/16)/(1/8)

1/x = 15/16 * 8/1

1/x = 15/2

x = 2/15

Hence there will be 2/15 servings of oranges

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