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3 years ago

A flute case is shaped like a rectangular prism. The caseis 5inches tall, 3 inches wide, and has a volume of 255 cubic inches

Mathematics

1 answer:

Anna [14]3 years ago

7 0

Answer:

The length of the case is 17 inches.

Step-by-step explanation:

A flute case is shaped like a rectangular prism with dimensions:

height = 5 inches;
width = 3 inches;
length = x inches.

The volume of the case is 255 cubic inches.

Use formula for the volume of the rectangular prism:

$\text{Volume}=\text{Width}\times \text{Length}\times \text{Height}$

Thus,

$255=5\cdot x\cdot 3\\ \\255=15x\\ \\x=\dfrac{255}{15}=17$

The length of the case is 17 inches.

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Scott walks to and from school each day. Each round trip is 3 kilometers long.

natka813 [3]

The equation that shows the relationship between the number of round trips, x and the number of kilometers, y Scott walked is y = 3x

Each round trip = 3 km

x = number of rounds

y = number of km he has walked in all.

1 rounds = 3 km

Therefore,

x rounds = 3x km

Each round of trip covers 3km. This means for each round of trip a distance of 3km is covered. The total distance or number of kilometers is represented with y.

The equation to show the relationship between x(number of rounds) and y (number of km) can be represented below

y = 3x

8 0

3 years ago

Complete the solution of the equation. Find the value of y when x equals -4 <br> x + 3y = 14

NeX [460]

Move all terms that don't contain y to the right side and solve.
y = - x/3 + 14/3
Hope this helps! :)

6 0

3 years ago

If the Revenue for the week is $2000, and labor cost consists of two workers earning $8 per hour who work 40 hours each, what is

slega [8]

So,

All you have to do is find the total labor cost and put it over the revenue.

We have two workers each earning $8/hr. (lousy), and they work 40 hrs./week.

2 * $8 = $16/hr.

$16/hr. * 40 hrs. = $640

$\frac{640}{2000}$

Cross out zeros.
$\frac{64}{200}$

Simplify.
$\frac{2^6}{2^35^2}$
$\frac{2^3}{5^2}$
$\frac{8}{25}$

Convert the denominator to 100.
$\frac{8}{25} * \frac{4}{4} = \frac{32}{100}$
$\frac{32}{100}$
=
32%

The labor cost is 32% of the revenue.

7 0

3 years ago

If ◻SLED ~ ◻PARK which of the following statements are incorrect?

san4es73 [151]

Answer:

◻DELS ~ ◻KARP is incorrect

Step-by-step explanation:

All of the similarity statements have corresponding letters in the same order except ...

◻DELS ~ ◻KARP . . . . (incorrect)

_____

The correct version would be ...

◻DELS ~ ◻KRAP