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3 years ago

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Five cubes are lined up to form a solid. The side lengths of the cubes are 1ft, 2ft, 3ft, 4ft, and 5ft. What is the volume of th

e solid?

1 answer:

Tanzania [10]3 years ago

5 0

1 + 8 + 27 + 64 + 125 = 225 ft^3

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To make fruit punch for a party, we need 4 1⁄2 gallons of ginger ale, 1 gallon of strawberry juice, 2 3⁄4 gallons of frozen oran

lina2011 [118]

For this case we convert the mixed numbers to fractions:

$4 \frac {1} {2} = \frac {2 * 4 + 1} {2} = \frac {9} {2}\\2 \frac {3} {4} = \frac {4 * 2 + 3} {4} = \frac {11} {4}$

Now we add the fractions:

$\frac{9} {2}+1+ \frac {11} {4} + \frac {1} {8} =$

We find the least common multiple of the denominators. The l.c.m is 8, then we divide by each denominator and multiply the result by each numerator.

$\frac {36 + 8 + 22 + 1} {8} =\\\frac {67} {8} =$

8,375

Thus, the punch recipe implies 8.375 gallons. If we convert to a mixed number we have:

$8 \frac {3} {8}$ gallons

Answer:

$8 \frac {3} {8}$ gallons

4 0

3 years ago

A rectangular prism has a height of 15 centimeters and a width of 6 centimeters. The surface area of the prism is 684 square cen

Kazeer [188]

B. 12 cm

a= 2(hl x wl x hw)

6 0

2 years ago

A boy leaves on a bicycle trip at the rate of 8 mph. One hour later the father, realizing that his son forgot his camping

KatRina [158]

Answer:

40 mph

Step-by-step explanation:

One hour includes 60 minutes

8/60=0.13(3 repeating)

You only need 15 minutes of time

0.13(3 repeating)*15=2

8+2=10 miles

15 minutes is 1/4 of an hour

10*4=40 mph

6 0

3 years ago

-2x^2y, where x = -1 and y = 5

Sever21 [200]

I hope this helps answer your question.

4 0

3 years ago

Read 2 more answers

The table gives estimates of the world population, in millions, from 1750 to 2000. year population year population 1750 790 1900

Tems11 [23]

The poopulation exponential model is given by

$P(t)=P_0e^{kt}$

Where, P(t) is the population after year t; Po is the initial population, t is the number of years from the starting year; k is the groth constant.

Given that the population in 1750 is 790 and the population in 1800 is 970, we obtain the population exponential equation as follows:

$970=790e^{50k} \\ \\ \Rightarrow e^{50k}=1.228 \\ \\ \Rightarrow 50k=\ln{1.228}=0.2053 \\ \\ \Rightarrow k=0.0041$

Thus, the exponential equation using the 1750 and the 1800 population values is $P(t)=790e^{0.0041t}$

The population of 1900 using the 1750 and the 1800 population values is given by

$P(t)=790e^{0.041\times150} \\ \\ =790e^{0.6158}=790(1.8511) \\ \\ =1,462$

The population of 1950 using the 1750 and the 1800 population values is given by

$P(t)=790e^{0.041\times200} \\ \\ =790e^{0.821}=790(2.2729) \\ \\ =1,796$

From the table, it can be seen that the actual figure is greater than the exponential model values.

7 0

3 years ago