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3 years ago

13

Kate wants to buy a new bicycle from a sporting goods store. The bicycle she wants normally sells for $250. The store has a sale

where all bicycles cost 2 / 5 of the regular price. What is the sale price of the bicycle?

1 answer:

hram777 [196]3 years ago

8 0

it is 100 dollars off of the sale price.

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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>

4 0

3 years ago

Read 2 more answers

GIVING BRAINLIEST FOR BEST ANSWER!

natta225 [31]

Answer:

It would be A

Step-by-step explanation:

Fifteen Seventieths :D

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2 years ago

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Triangle ABC is transformed to triangle A'B'C', as shown below:

nordsb [41]

Answer:

<em>d). = m∠BCA = m∠B'C'A'</em>

Step-by-step explanation:

d). = m∠BCA = m∠B'C'A'

4 0

3 years ago

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Liz wants to buy a shirt for $25 how much will liz s shirt cost in Springfield rounded up to the nearest cent

liq [111]

$25 dollars because the shirt costs $25 and that already rounds to the nearest cent.

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3 years ago

Solve for x. Round to the nearest tenth, if necessary. 1.8 & x

Valentin [98]

Answer:

x ≈ 1.4

Step-by-step explanation:

Using the sine ratio in the right triangle

sin50° = $\frac{opposite}{hypotenuse}$ = $\frac{RS}{RT}$ = $\frac{x}{1.8}$ ( multiply both sides by 1.8 )

1.8 × sin50° = x , then

x ≈ 1.4 ( to the nearest tenth )

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