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Monica [59]
3 years ago
9

A carton of milk in the shape of a rectangular prism has a leak. The dimensions of the carton are 8 inches by 4 inches by 3 inch

es. If the rate in which the milk is leaking is 6 cubic inches per minute, how long would it take for the milk carton to completely empty?
Mathematics
2 answers:
marta [7]3 years ago
4 0

Answer:

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Nitella [24]3 years ago
3 0

Volume of a rectangular prism = length x width x height.

Volume of milk carton = 8 x 4 x 3 = 96 cubic inches.

Divide the volume by the leak rate:

96/ 6 = 16

It will take 16 minutes.

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Lesechka [4]

Answer:

Option A.

Step-by-step explanation:

From the figure attached,

Given : ΔABC ~ ΔDEC

By the property of similarity,

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\frac{\text{AB}}{ED}=\frac{BC}{EC}=\frac{AC}{DC}

Since, \frac{\text{AB}}{ED}=\frac{AC}{DC}

\frac{42}{6}=\frac{x}{(32-x)}

6x = 42(32 - x)

6x = 1344 - 42x

6x + 42x = 1344

48x = 1344

x = \frac{1344}{48}

x = 28 units

Therefore, Option (A). x = 28 units will be the answer.

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3 years ago
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Equal set is equivalent set but equivalent set not need equal set? why​
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6 0
3 years ago
Find the degree of the monomial.<br> 9b6c5<br> The degree of the monomial is
Scorpion4ik [409]

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General Formulas and Concepts:

<u>Algebra I</u>

  • Terms/Coefficients/Degrees

Step-by-step explanation:

<u>Step 1: Define</u>

9b⁶c⁵

<u>Step 2 Identify</u>

Our largest degree is the variable raised to the highest exponent.

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7 0
3 years ago
5. Landon bought a new car for $16,000 and it depreciates 4.5% every year. Write a function that describes
snow_tiger [21]

Answer:

<h3>The value C(t) of the car after  5  years is $12709.</h3>

Step-by-step explanation:

Given that Landon bought a new car for $16,000 and it depreciates 4.5% every year.

<h3>To find the value C(t) of the car after  5  years:</h3>

Initial value C(0)= $16,000

Depreciation rate is  r=\frac{4.5}{100}

<h3>∴ r=0.045</h3>

Period ,  t=5 years

C(t)=C(0)(1-r)^t

Substitute the values we get

C(5)=16000(1-0.045)^5

=16000(0.955)^5

=16000(0.7943)

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<h3>The value C(t) of the car after  5  years is  $ 12709</h3>
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