We have been given that a retailer buys cases of 24 shirts for $30/case and then resells them in packs of 5 for $8/pack.
Further, we know that retailer sold all the shirts he purchased and profited $84 on the sale.
Let us first find LCM of 24 and 5. The LCM is 120.
Now, let us assume that the retailer bought 120x shirts. Therefore total profit will be:

We can set this equal to the given profit to figure out the value of x first.

Therefore, the retailer sold 120(2)=240 shirts, that is, 48 packs.
First you have to find out how much one cost.
In order to do that you have to divide 3.60/6. You would get 6. That is how much one cost. Then you have to multiply 6*2 and you would 12. So the answer is $12. I hope this helps
Answer:
104 m^2
Step-by-step explanation:
We first find the area of the rectangle
A = l*w
A = 10*8
A = 80
Then we find the area of the triangle
A = 1/2 bh
A = 1/2 (8)(6)
= 24
Then we add the areas together to find the total area
80+24 = 104
Answer:
0.23
Step-by-step explanation:
For number 4, we'll need a few facts to answer our question:
- Two supplementary angles add up to 180°, forming a straight angle (the angle formed by a straight line)
- The interior angles of a triangle add up to 180°
Given those, we notice that the one unlabeled angle in the figure shares a line with 156°. In fact, this angle is <em>supplementary</em> to 156°, which means that the two add up to 180°. To find the measure of this mystery angle, we can subtract 156 from 180 to obtain 180 - 156 = 24°.
Now, let's look at the triangle. We already know the measure of one of the angles is 24°, and the other two are x°. What else do we know about the angles of a triangle? From the two facts listed at the beginning, we know their interior angles add up to 180°, so let's use that fact to solve for x.
We have:

, or

Solving for x:

So, x = 78°.
For question 5, the <em>definition</em> of a pair of parallel lines is a pair of lines which <em>never intersect</em>, so "always" would be the appropriate answer.