Answer:
10
Step-by-step explanation:
the is answe is 10 sheeesh
Let x= the time each one paints at the same time. Painting one whole room means that the output of our equation equals....1.
x/5 = the fraction of the room Matt can paint in x hours.
x/3 = the fraction of the room Elliot can paint in x hours.
Our working equation will be: x/5+x/3 = 1
[solve for x]
[start by finding common denominator] 3x/15 + 5x/15=1
[add together] 8x/15 = 1
[isolate the variable] 8x=15
x=15/8, or 1 7/8 hours. Together, they can paint a room together in 1 7/8 hours. (An hour, 52 minutes, 30 seconds if you divide it all the way out!)
First, turn these mixed numbers into improper fractions,
![41\frac{2}{3} = \frac{(41*3)+2}{3} = \frac{123}{3}](https://tex.z-dn.net/?f=%2041%5Cfrac%7B2%7D%7B3%7D%20%3D%20%5Cfrac%7B%2841%2A3%29%2B2%7D%7B3%7D%20%3D%20%5Cfrac%7B123%7D%7B3%7D%20)
and
![4 \frac{1}{4} = \frac{(4*4)+1}{4} = \frac{17}{4}](https://tex.z-dn.net/?f=4%20%5Cfrac%7B1%7D%7B4%7D%20%3D%20%5Cfrac%7B%284%2A4%29%2B1%7D%7B4%7D%20%3D%20%5Cfrac%7B17%7D%7B4%7D%20)
. Next divide, which you do by flipping the second fraction and multiplying.
![\frac{123}{3} / \frac{17}{4} = \frac{123}{3} * \frac{4}{17} = \frac{123*4}{3*17} = \frac{492}{51}](https://tex.z-dn.net/?f=%20%5Cfrac%7B123%7D%7B3%7D%20%2F%20%5Cfrac%7B17%7D%7B4%7D%20%3D%20%5Cfrac%7B123%7D%7B3%7D%20%2A%20%5Cfrac%7B4%7D%7B17%7D%20%3D%20%5Cfrac%7B123%2A4%7D%7B3%2A17%7D%20%3D%20%5Cfrac%7B492%7D%7B51%7D%20)
. If necessary, you could also turn this into a decimal, roughly 9.647, or back into a mixed fraction,
![9 \frac{33}{51}](https://tex.z-dn.net/?f=9%20%5Cfrac%7B33%7D%7B51%7D%20)
.
1. 11663
2. 98
3. 46 days
4. 1121
5. 29 pounds
Answer:
circumference=2×3.142×radius
radius=16.8÷2=8.4
so,
circumference=52.7856cm