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3 years ago

7. The total cost to rent a truck is $100 and $0.20 per km.

Mathematics

1 answer:

eduard3 years ago

4 0

Answer:

. The total cost to rent a truck is $100 and $0.20 per km. a. Determine an algebraic model for the relationship between total cost and distance driven. Use Cto represent total cost ($) to rent the truck and d to represent distance driven (km). C=$100+$0.20d b. Create a graphical model. You may use the Linear Graphing Tool or Desmos to create your graphical model. Take a screenshot of your graph and paste it here.

Thank you

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small cubes with edge lengths of 1/4 inch will be packed into the right rectangular prism shown.( the base is 4 1/2, the width i

ss7ja [257]

General Idea:

We need to find the volume of the small cube given the side length of the small cube as 1/4 inch.

Also we need to find the volume of the right rectangular prism with the given dimension (the height is 4 1/2, the width is 5, and the length is 3 3/4).

To find the number of small cubes that are needed to completely fill the right rectangular prism, we need to divide volume of right rectangular prism by volume of each small cube.

Formula Used:

$Volume \; of \; Cube = a^3 \; \\\{where \; a \; is \; side \; length \; of \; cube\}\\\\Volume \; of \; Right \; Rectangular \; Prism=L \times W \times H\\\{Where \; L \; is \; Length, \; W \; is \; Width, \;and \; H \; is \; Height\}$

Applying the concept:

Volume of Small Cube:

$V_{cube}= (\frac{1}{4} )^3= \frac{1}{64} \; in^3\\\\V_{Prism}= 3 \frac{3}{4} \times 5 \times 4 \frac{1}{2} = \frac{15}{4} \times \frac{5}{1} \times \frac{9}{2} = \frac{675}{8} \\\\Number \; of \; small \; cubes= \frac{V_{Prism}}{V_{Cube}} = \frac{675}{8} \div \frac{1}{64} \\\\Flip \; the \; second \; fraction\; and \; multiply \; with \; the \; first \; fraction\\\\Number \; of \; small \; cubes \;= \frac{675}{8} \times \frac{64}{1} = 5400$

Conclusion:

The number of small cubes with side length as 1/4 inches that are needed to completely fill the right rectangular prism whose height is 4 1/2 inches, width is 5 inches, and length is 3 3/4 inches is <em><u>5400 </u></em>

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3 years ago

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If Josiah’s speed, in miles per minute, is constant, what is the constant of proportionality?

ollegr [7]

Answer:

Step-by-step explanation:

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Please help 8th grade math

wariber [46]

Answer:

$n \geq -\frac{-29}{28}$

Step-by-step explanation:

$-3(1 - 7n) \geq -32 - 8n\\-3 + 21n \geq -32 -8n\\$

+8n +8n

$-3 + 28n \geq -32\\+3 +3\\28n \geq -29\\/28 /28\\n \geq \frac{-29}{28}$

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4 years ago

2. The sum of three consecutive integers is 48. What are the three integers?

Natasha2012 [34]

Answer: 15, 16, 17

Step-by-step explanation: you have to divide 48 by 3 when you do this then you get the center number in this case 16 so all you have to do now is add the lower number (15) and the higher number (17) and add and they will equal 48

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3 years ago

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Karolina [17]

Answer:

The second answer is correct.

Step-by-step explanation:

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