Answer:
<em>Rachel will earn $85 in 10 hours.</em>
Step-by-step explanation:
Rachel earned $34 in 4 hours at her job today.
Suppose, she will earn 
dollar in 10 hours tomorrow.
So, <u>according to ratio of 'dollar' and 'hours'</u>, the equation will be.....
After cross multiplying, we will get.....
Thus, Rachel will earn $85 in 10 hours.
Answer:
35 pounds of $8.00 tea and 15 pounds of $6.00 tea
Step-by-step explanation:
Let x represent the pounds of tea of the $8 kind. 8x would represent the total cost of that type of tea. We can also say 50 - x is the pounds of tea of the $6 kind, so 6(50 - x) is the total cost of that type of tea. 50 * 7.4 represents the total cost of all the tea, and the expression 8x + 6(50 -x) would also represent the same thing. We can write this as an equation,
8x + 6(50 -x) = 50 * 7.4
simplify,
8x + 300 - 6x = 370
2x + 300 = 370
and solve.
2x = 70
x = 35
This means there is 35 pounds of the $8 kind.
We can subtract that from 50 to find,
50 - 35 = 15,
15 pounds is the amount of the $6 kind.
Answer:
6.84 ≤ x ≤ 37.39
Step-by-step explanation:
we have
-----> equation A
we know that
The company wants to keep its profits at or above $225,000,
so
-----> inequality B
Remember that P(x) is in thousands of dollars
Solve the system by graphing
using a graphing tool
The solution is the interval [6.78,39.22]
see the attached figure
therefore
A reasonable constraint for the model is
6.84 ≤ x ≤ 37.39
The formula for finding the volume of a rectangular prism (the cargo area of the truck is the shape of a rectangle in 3D; a rectangular prism) is V = (l)(w)(h); where <em>l</em> = length, <em>w</em> = width, and <em>h</em> = height.
First, substitute the known values into the equation:
l = 8.5
w = 6
h = 10.5
V = (8.5)(6)(10.5)
<em>(Note: .5 = 1/2)</em>
Now, all we need to do is simplify:
V = 535.5 ft³ OR 535 1/2 ft³
<em>(Note: ft</em><em>³</em><em> is the condensed form of cubic feet)</em>
You can pick whichever form your test directs you to use. They are both the same value though.
Hope this helps!
Answer:
Step-by-step explanation:
Comment
There are 4 cups in a quart.
There are 12 cups in x quarts.
Solution
4/12 = 1 / x Cross multiply
4x = 12*1 Combine
4x = 12 Divide both sides by 4
4x/4 = 12/4
x = 3 quarts
Answer
3 quarts.
