Find the unknown side length, x. Write your answer in simplest radical form.

A clothing truck is shaped like a rectangular prism. The volume of the truck 15 ft cubed. The area of the base of the container

Ghella [55]

Answer: 2.5 ft

Step-by-step explanation:

The volume of a rectangular prism is given by the following formula:

$V=(l)(w)(h)$ (1)

Where:

$l$ is the length of the base

$w$ is the width of the base

$h$ is the height of the prism

On the other hand, tha area of a rectangle is:

$A=(l)(w)$ (2)

Then, we can rewrite (1) in terms of (2):

$V=(A)(h)$ (3)

Now, we know the value of the volume and the area of the base:

$V=15ft^{3}$

$A=6ft^{2}$

Substituting these values in (3):

$15ft^{3}=(6ft^{2})(h)$ (4)

Isolating $h$ :

$h=2.5 ft$ This is the height of the truck

8 0

3 years ago

John runs the same amount each day (r). If he runs for 4 days this week write an expression to represent the amount he ran this

AnnyKZ [126]

Answer:

$r \cdot 4 = z$

Step-by-step explanation:

An expression means that we don't know enough to create an equation. So, this means we will mostly be using variables.

John runs r amount every day. We need to create an expression for if he runs r amount for 4 days.

$r \cdot 4 = z$

r = how much he runs per day

4 = how many days he runs

z = how much he runs this week

This is your expression!

7 0

3 years ago

Read 2 more answers

Which expression is an example of the associative

LenKa [72]

Answer:

A.

Step-by-step explanation:

This property states that when three or more are added (or multiplied), the sum (or the ) is the same regardless of the grouping of the (or the multiplicands).

8 0

4 years ago

The ratio of the number of cars to the number of motorcycles in a parking lot is 10:3. The ratio of the number of motorcycles t

serg [7]

I'll do this step-by-step. Note, ratios are basically division signs.

The ratio of cars to motorcycles in a parking lot is 10:3, which means there are 10 cars for every 3 motorcycles.

The ratio of motorcycles to vans is 2:3, there are 2 motorcycles for every 3 vans.

There are 30 vans, so there are 20 motorcycles, since 20 motorcycles:30 vans is equal to 2 motorcycles: 3 vans in fractions. (20 / 30 = 2 / 3)

So, the ratio of cars represented by x to the number of motorcycles, 20 can be written as x / 20 = 10 / 3. 10 / 3 is 3.333, meaning 3.333 cars per 1 motorcycle, so multiply 20 by 3.333 to get x, which is 66. There are 66 cars and 30 vans, so there are 33 more cars than vans in the parking lot. 66/20 = 10/3, both have a ratio of 3.33 when divided.

If you don't want the explanation, there are 33 more cars than vans in the parking lot.

8 0

3 years ago

Read 2 more answers

To estimate the sum or<br>sum or difference.<br>Estimate:<br>Difference:<br>

Artemon [7]

Answer:

to estimate the sum you round to the closest number like 38 is closest to 40 so you just say you total is $40.00

difference is when say you have 30 dollars and you spend 10 the difference is 10 dollars

3 0

3 years ago