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IRINA_888 [86]
3 years ago
15

The consumption of a vegetable has decreased. The consumption per capita in 2000 was 25.2 ​pounds, and in​ 2010, the consumption

dropped to 15.2 pounds. Find the percent decrease. Round to the nearest tenth of a percent.
Mathematics
1 answer:
Delvig [45]3 years ago
8 0

Answer: 40%

Step-by-step explanation:

The consumption of a vegetable has decreased. While the consumption per capita in 2000 was 25.2 ​pounds, in​ 2010, the consumption dropped to 15.2 pounds.

Consumption in 2000= 25.2 pounds

Consumption in 2010= 15.2 pounds

Difference in consumption=

25.2 - 15.2 = 10.0

Percentage decrease will be difference in consumption divided by original consumption in 2000 multiplied by 100. This will be:

= 10.0/25.2 × 100

= 0.4 × 100

= 40%

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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
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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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