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3 years ago

9

A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 cubic units

1 answer:

Karo-lina-s [1.5K]3 years ago

5 0

Answer:

<h2>108 cubes</h2>

Step-by-step explanation:

$V_p=4\\\\\text{Calculate the volume of a cube:}\\\\V_{c}=\left(\dfrac{1}{3}\right)^3=\dfrac{1}{27}\\\\\text{Calculate how many times the volume of the prism is greater}\\\text{than the volume of the cube:}\\\\\dfrac{V_p}{V_c}=\dfrac{4}{\frac{1}{27}}=4\cdot27=108$

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This question is confusing. Please help me!

patriot [66]

Answer:

C. 490.

Step-by-step explanation:

25% = 0.25.

If the number of emails that Ryan and Taylor each received is x emails then Sara received 2x + 0.25 * 2x = 2.5 emails.

So 2x + 2.5x = 882

x = 882/4.5

x = 196.

So Sara received 2.5 * 196

= 490 emails.

5 0

3 years ago

A bank loaned out $68,000, part of it at the rate of 13% per year and the rest at a rate of 5%per year. If the interest received

marin [14]

Answer: $31000 was loaned at 13%.

Step-by-step explanation:

Let x represent the amount loaned out at 13% interest rate.

Let y represent the amount loaned out at 5% interest rate.

The bank loaned out $68,000, part of it at the rate of 13% per year and the rest at a rate of 5%per year. It means that

x + y = 68000

The interest received made from $x in one year is

13/100 × x = 0.13x

The interest received made from $y in one year is

5/100 × x = 0.05y

If the interest received was $5880, it means that

0.13x + 0.05y = 5880- - - - - - - - - 1

Substituting x = 68000 - y into equation 1, it becomes

0.13(68000 - y) + 0.05y = 5880

8840 - 0.13y + 0.05y = 5880

- 0.13y + 0.05y = 5880 - 8840

- 0.08y = - 2960

y = - 2960/- 0.08

y = 37000

x = 68000 - y = 68000 - 37000

x = $31000

5 0

3 years ago

Find the values of the six trigonometric functions of 0

Oxana [17]

Ring ding ding ding ding ding ding ding it’s 4/5

7 0

4 years ago

34.7985347985 rounded to the nearest tenth

Nina [5.8K]

The answer would be 34.8 I’m pretty sure

7 0

2 years ago

Read 2 more answers

Lauren has a bouquet of flowers. 1/5 of the flowers are red. 3/10 of the flowers are white. The rest are yellow. Lauren’s bouque

ss7ja [257]

Answer:

36 flowers

Step-by-step explanation:

Given

$Red = \frac{1}{5}$

$White = \frac{3}{10}$

$Yellow = 18$

Required

Determine the number of flowers

First, we need to determine the fraction of flowers that are yellow;

$R + W + Y = 1$

$\frac{1}{5} + \frac{3}{10} + Y = 1$

$\frac{2+ 3}{10} + Y = 1$

$\frac{5}{10} + Y = 1$

$Y = 1 - \frac{5}{10}$

$Y = \frac{10 -5}{10}$

$Y = \frac{5}{10}$

$Y = \frac{1}{2}$

Let the number of flowers by N;

The yellow flowers can be represented as;

$18 = \frac{1}{2} * N$

Solve for N

$N = \frac{18 * 2}{1}$

$N = \frac{36}{1}$

$N = 36$

5 0

3 years ago