Answer:
$24.875
Step-by-step explanation:
If we use an equation to solve the total amount, like y=9.95x where x is the gallons purchased. We then multiply 9.95 by 2.5 to get 24.875
We will use a combination formula to determine how many ways the prizes could be given out.
In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.
The combination is defined as “An arrangement of objects where the order in which the objects are selected does not matter.” The combination means “Selection of things”, where the order of things has no importance.
The formulas nCk is popularly known as counting formula.
Learn more about Combination:
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Answer:
The area of the smaller triangle is 75.
Step-by-step explanation:
Here, the ratio of the sides of the similar triangle are 5 : 6
The area if the larger triangle = 108
let us assume that the area of the smaller triangle = m
By the Theorem:
In two similar triangles, the ratio of the areas of similar triangles is the square of the ratio of their sides.
Similarly, here
 ^2](https://tex.z-dn.net/?f=%5Btex%5D%28%5Cfrac%7B5%7D%7B6%7D%29%20%5E2)
= \frac{m}{108}[/tex]
⇒
or, 
⇒ m = 75
Hence, the area of the smaller triangle is 75.
Answer:
$50.50 = 18 + 5n
Step-by-step explanation:
