Give 3 expressions equivalent to the expression 24x+60

A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled

n200080 [17]

Answer:

24000 pieces.

Step-by-step explanation:

Given:

Side lengths of cube = $\frac{1}{4} \ foot$

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

$Volume\ of\ cube =a^{3}$

$=\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot$

Length = 8 foot, Breadth = $6\frac{1}{4} =\frac{25}{4} \ foot$ , Height = $7\frac{1}{2} =\frac{15}{2} \ foot$

$Volume\ of\ rectangular\ prism =length\times breadth\times height$

$=8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot$

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = $\frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube$

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.

7 0

3 years ago

The square footage and monthly rental of 10 similar one-bedroom apartments yield the linear regression

Triss [41]

The footage of the room with a rental price of $1500 is 709 square foot

<h3>Linear equation</h3>

A linear equation is given by:

y = mx + b

where m is the rate of change, b is the initial value of y, y, x are variables.

Let y represent the monthly rental price and x represent the square footage. Given the equation:

y = 0.7752x + 950.25

For a rent of $1500:

1500 = 0.7752x + 950.25

x = 709 square foot.

The footage of the room with a rental price of $1500 is 709 square foot

Find out more on linear equation at: brainly.com/question/13763238

5 0

1 year ago

PLEASE HELP i will give brainliest if it is the correct answer i just really need to understand:(Select from the drop-down menus

Mnenie [13.5K]

(105^3) * (105^3).....keep the base and add the exponents

8 0

2 years ago

Read 2 more answers

Write an equivalent expression.

djyliett [7]

8.5 the answer is and replace the areas

4 0

2 years ago

Kari is on a trip to Italy. She has made a list of cities she would like to tour while she is there, as well as how much she exp

Amanda [17]

Unit conversion is a way of converting some common units into another. Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

<h3>What are Units conversions?</h3>

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

The cost of the Kari visiting the Vatican, Rome, Naples, Venice, and Milan are €68.77, €95.41, €71.06, €113.38, and €49.69. Therefore, the total cost of visiting these places would be,

Total Cost = €68.77 + €95.41 + €71.06 + €113.38 + €49.69

= €398.31

Now, as it is given that 1$ is equal to 0.6859€, therefore, if we convert the amount that is already spent by Kari to visit these places in dollars, we will get,

$\rm Total\ cost = \dfrac{398.31 }{0.6859} = \$\ 580.72$

The amount that is left with Kari,

$\rm \text{Amount left with Kari} = (Budget\ of\ Kari)-(Total\ cost)$

$= \$585-\$580.72\\\\=\$4.28$

Also, the cost of visiting Genoa is €60.85, now, if the cost is converted to dollars we will get the cost to visit Genoa,

$\text{Cost of visiting Genoa} = \dfrac{60.85}{0.6859}=\$88.72$

Thus, the cost of visiting Genoa is $88.72, while the amount of budget that is left with Kari is $4.28, therefore, Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

Learn more about Units conversion:

brainly.com/question/4736731

3 0

2 years ago