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3 years ago

8

Jeremy moved several to earn money for camp. After he payed 17$ for gas, he had 75$ leftover to pay towards camp. Write and solv

e an equation to find how much money jeremy earned mowing lawns.

1 answer:

egoroff_w [7]3 years ago

4 0

Let x equal the amount of money he earned mowing lawns. The equation would looks like,

x-$17=$75

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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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2 years ago

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4. At Eagle Rock High School, the probability that a student takes theatre and choir is 0.052.

aleksklad [387]

Answer:

B

Step-by-step explanation:

Conditional probability is:

P(A given B) = P(A and B) / P(B)

Here, P(A and B) = 0.052 and P(B) = 0.17:

P(A given B) = 0.052 / 0.17

P(A given B) = 0.306

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3 years ago

What numbers add to 33 and muliplies to 75

labwork [276]

<span>33 =1, 3, 11, 33
75</span><span>=1, 3, 5, 15, 25, 75</span>

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3 years ago

Please Help! Question is:

Natasha_Volkova [10]

Answer: D

Step-by-step explanation:

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3 years ago

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What is an equivalent fraction for 3:11

Dmitry [639]

Answer:

$\frac{3}{11}$

Step-by-step explanation:

When you have something like that, just think that the first number goes on top and the second number goes on bottom.

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2 years ago