It cost $3.99 for 25 fl. oz. of detergent or $6.99 for 90 fl. oz. Which is a better buy?

Mathematics

2 answers:

stepladder [879]3 years ago

5 0

$6.99 for 90fl because 3.99 plus 3.99 is about 8 and 25 plus 25 is 50fl which is less the 6.99 for 90fl

vampirchik [111]3 years ago

3 0

The 90 fl. oz. of detergent for $6.99 is a better deal because ;$3.99 per 25 fl. oz. or, 3.99/25, is equal to $0.16,and$6.99 per 90 fl. oz. or, 6.99/90, is equal to $0.08 (rounded).Thus, the 90 fl. oz. bottle costs less per ounce of detergent.

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Do you hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg the longer leg is 7 feet longer than the

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Answer:

Shorter leg: 8 units

Longer leg: 15 units

Hypotenuse: 17 units

Step-by-step explanation:

We are given $h=1+2s$ where $h$ is the hypotenuse and $s$ is the length of the shorter leg.

We got this equation from reading that the "hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg". I replaced the "hypotenuse of a triangle" with $h$ , "is" with $=$ , "1 foot more than" with $1+$ and finally "twice the length of the shorter leg" with $2s$ .

We also have "longer leg is 7 feet longer than the shorter leg".

I'm going to replace "longer leg" with $L$ .

I'm going to replace "is" with $=$ .

I'm going to replace "7 feet longer than the shorter leg" with $7+s$ .

So we have the equation $L=7+s$ .

So we have a right triangle since something there is a side being referred to as the hypotenuse. We can use Pythagorean Theorem to find a relation between all these sides.

So by Pythagorean Theorem, we have: $s^2+L^2=h^2$ .