A bottle of root beer contains 4/5 of a liter. How much root beer is in 3 bottles?

1 answer:

3 0

4/5 * 3 = 12/5 liters There are 2 cups in a liter so to find the root beer in cups, divide 12/5 by 2. You will get 12/10 cups which is 1.1 cups

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Brad says that if a second number is 125% of the first number, then the first number must be 75% of the second number. Is he cor

olga55 [171]

Answer: He is not correct.

Steps:

Let x1 and x2 be the first and second number, respectively.

$x_2 = \frac{5}{4}x_1\\\frac{4}{5}x_2 =x_1$

In words, if the second is 125%, or 5/4 of the first number (first equation),

then the first is 4/5 of the second, which is 0.8 or 80%.

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2 years ago

Explain why the square root of a number is defined to be equal to that number to the 1/2 power

denis23 [38]

Answer:

Because square root is essentially the same thing as the power to a half

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2 years ago

An automotive repair center charges $45 for any part of the first hour of labor, and $25 for any part of each additional hour. W

IceJOKER [234]

The total cost is given by the equation:
C(t) = 45 + 25(h-1) where h is the number of hours worked.

We can check for each option in turn:

Option A:

Inequality 5 < x ≤ 6 means the hour is between 5 hours (not inclusive) to 6 hours (inclusive)
Let's take the number of hours = 5
C(5) = 45 + (5-1)×25 = 145
Let's take the number of hours = 6
Then substitute into C(6) = 45 + (6-1)×25 = 170
We can't take 145 because the value '5' was not inclusive.

Option B:
The inequality is 6 < x ≤ 7
We take number of hours = 6
C(6) = 25(6-1) + 45 = 170
We take number of hours = 7
Then C(7) = 25(7-1) + 45 = 195

Option C:
The inequality is 5 < x ≤ 6
Take the number of hours = 5
C(5) = 25(5-1) + 45 = 145
Take the number of hours = 6
C(6) = 25(6-1) + 45 = 170
We can't take the value 145 as '5' was not inclusive in the range, but we can take 170

Option D:
6 < x ≤ 7
25(6-1) + 45 < C(t) ≤ 25(7-1) + 45
170 < C(t) ≤ 195

Correct answer: C

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3 years ago

Which expression represents the volume, in cubic units, of the composite figure?

Kipish [7]

The missing figure is attached

The expression represents the volume in cubic units of the composite figure is (Four-third)π(10)³ + π(10)²(28) ⇒ 1st answer

Step-by-step explanation:

The figure consists of