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Anna [14]
3 years ago
11

A glass case is in the shape of a rectangular prism. The volume of the case is cubic 4/125 foot. How many cubic blocks with a si

de length of 1/5 foot would be required to find the volume of the glass case?
Mathematics
2 answers:
STatiana [176]3 years ago
6 0

4 cubes can fit into the box

Ksju [112]3 years ago
3 0

Answer:

4 cubic blocks.

Step-by-step explanation:

Let n be the number of cubic blocks that could fit in glass case.

We have been given that a glass case is in shape of a rectangular prism. The volume of the case is cubic 4/125 foot.

The volume of glass case will be equal to volume of n cubic blocks with each side length \frac{1}{5} foot.

\text{Volume of glass case}=\text{Volume of n cubic blocks}

\frac{4}{125}=n\times (\frac{1}{5})^3

\frac{4}{125}=n\times \frac{1^3}{5^3}

\frac{4}{125}=n\times \frac{1}{125}

Multiplying both sides of equation by 125 we will get,

\frac{4}{125}*125=n\times \frac{1}{125}*125

4=n

Therefore, 4 cubic blocks would be required to find the volume of the glass case.

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6.
larisa86 [58]

A. Every month Population will increase by a factor of 0.84%.

B.  Every 3 months Population will increase by a factor of 2.5%.

C. Increase in population in every 20 months is 10% + 6.72% = 16.72%.

<u>Step-by-step explanation:</u>

Here, we have  number of employees in a company has been growing exponentially by 10% each year. So , If we have population as x in year 2019 , an increase of 10% in population in 2020 as  x + \frac{x}{100}\times10 which is equivalent to \frac{11x}{10}.

<u>A.</u>

For each month: We have 12 months in a year and so, distributing 10% in 12 months would be like \frac{10}{12}  = 0.84 . ∴ Every month Population will increase by a factor of 0.84%.

<u>B.</u>

In every 3 months: We have , 12 months in a year , in order to check for every 3 months  \frac{12}{3} = 4 and Now, Population increase in every 3 months is \frac{10}{4}  = 2.5.  ∴ Every 3 months Population will increase by a factor of 2.5%.

<u>C.</u>

In every 20 months: We have , 12 months in a year in which increase in population is 10% . Left number of moths for which we have to calculate factor of increase in population is 20-12 = 8. For 1 month , there is 0.84% increase in population ∴ For 8 months , 8 × 0.84 = 6.72 %.

So , increase in population in every 20 months is 10% + 6.72% = 16.72%.

5 0
3 years ago
11.
Mrrafil [7]

Answer:

2 should be distributed as 2y + 16; y = 8

Step-by-step explanation:

We have to distribute 2, then:

Now we have to sum (-2y) in both sides of the equation:

Finally we have to divide both sides of the equation in 2:

Then the answer is 2 should be distributed as 2y + 16; y = 8

Hope this helps.

8 0
3 years ago
Peter has $40.25 in his piggy bank. The amount is made up of an equal number of four coins. The coins could be 1c, 10c, 5c, 25c,
Crazy boy [7]

Answer:

Step-by-step explanation:

It’s made up of the 1 dollar coin , .50 cents coin, .25 cents coin, and the .10 cents coin. If you multiply each by 25 you get the exact value , so these coins make it up but there is exactly 25 of each

7 0
3 years ago
Help Plz! Do the ratios 2/4 and 14/20 form a proportion? Explain.
Strike441 [17]

Answer:

No

Step-by-step explanation:

Reduce each fraction to find if they are equal to the same ratio.

2/4 reduces to 1/2

14/20 reduces to 7/10

They do not form a proportion.

6 0
3 years ago
Read 2 more answers
Write an exponential equation in the form y = abx whose graph passes through points (2, 18) and (5, 60.75).
Nataliya [291]
Y = a * b^x
18 = a * b²
60.75 = a * b^5
60.75 = a * b² * b³
60.75 = 18 b³
b³ = 60.75 : 18
b³ = 3.375
b = ∛ 3.375
b = 1.5
18 = a * 1.5²
18 = a * 2.25
a = 18 : 2.25
a = 8
Answer:
y = 8 * 1.5^x
4 0
3 years ago
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