Answer: 8, 40, 80, 120
1 gallon is equal to 8 pints
<h3><u>given</u><u>:</u></h3>
circumference= 24 feet
<h3><u>to</u><u> </u><u>find</u><u>:</u></h3>
the radius of the circle.
<h3><u>solution</u><u>:</u></h3>
![c = 2\pi \: r](https://tex.z-dn.net/?f=c%20%3D%202%5Cpi%20%5C%3A%20r)
![r = \frac{c}{2\pi}](https://tex.z-dn.net/?f=r%20%3D%20%20%5Cfrac%7Bc%7D%7B2%5Cpi%7D%20)
![r = \frac{24}{2 \times \pi}](https://tex.z-dn.net/?f=r%20%3D%20%20%5Cfrac%7B24%7D%7B2%20%5Ctimes%20%5Cpi%7D%20)
![r = 3.81972](https://tex.z-dn.net/?f=r%20%3D%203.81972)
![r = 3.8 \: ft](https://tex.z-dn.net/?f=r%20%3D%203.8%20%5C%3A%20ft)
<u>therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>radius</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>circle</u><u> </u><u>is</u><u> </u><u>3.8</u><u> </u><u>feet</u><u>.</u>
-- All three sides of a scalene triangle have different lengths.
So 'x' can't be 15 and it can't be 25.
-- 'x' must be 10 or more in order to reach between the ends
of the 25 and the 15.
-- 'x' must be less than 40 in order for the 25 and the 15 to reach
between its ends.
So the value of 'x' must satisfy these conditions:
<em>0 < x < 15</em>
<em>15 < x < 25</em>
<em>25 < x < 40</em>
Any number that satisfies these conditions is an acceptable value for 'x'.
Answer:
7
Step-by-step explanation:
Divide 7/8 by 1/4. (You divide the "supply" of raisins into 1/4 cup "parts".)
![\frac{7}{8} \div \frac{1}{4} = \frac{7}{8} \times \frac{4}{1} = \frac{28}{8} =\frac{7}{1} =7](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B8%7D%20%5Cdiv%20%5Cfrac%7B1%7D%7B4%7D%20%3D%20%5Cfrac%7B7%7D%7B8%7D%20%5Ctimes%20%5Cfrac%7B4%7D%7B1%7D%20%3D%20%5Cfrac%7B28%7D%7B8%7D%20%3D%5Cfrac%7B7%7D%7B1%7D%20%3D7)
Multiply 7/8 by the reciprocal of 1/4 ("flip" the 1/4).
The result is 28/8, which can be simplified ("reduced") to 7.