Pi*12^2=<span>452.39 square inches, without the frame
pi*15^2= </span><span>706.86 square inches, including the frame</span>
Answer:
Ella should add
lbs of water.
Total weight of syrup
lbs
Step-by-step explanation:
Weight:
Weight of sugar = 0.5 lbs.
Weight of water added = x lbs
Total weight = 0.5 + x lbs
Percentage:
0.5 + x -- 100%
0.5 -- 1.5%
Write a proportion:
![\dfrac{0.5+x}{0.5}=\dfrac{100}{1.5}](https://tex.z-dn.net/?f=%5Cdfrac%7B0.5%2Bx%7D%7B0.5%7D%3D%5Cdfrac%7B100%7D%7B1.5%7D)
Cross multiply:
![1.5(0.5+x)=0.5\cdot 100\\ \\0.75+1.5x=50\\ \\1.5x=50-0.75\\ \\1.5x=49.25\\ \\x=\dfrac{49.25}{1.5}=\dfrac{4,925}{150}=\dfrac{197}{6}=32 \dfrac{5}{6}\ lbs](https://tex.z-dn.net/?f=1.5%280.5%2Bx%29%3D0.5%5Ccdot%20100%5C%5C%20%5C%5C0.75%2B1.5x%3D50%5C%5C%20%5C%5C1.5x%3D50-0.75%5C%5C%20%5C%5C1.5x%3D49.25%5C%5C%20%5C%5Cx%3D%5Cdfrac%7B49.25%7D%7B1.5%7D%3D%5Cdfrac%7B4%2C925%7D%7B150%7D%3D%5Cdfrac%7B197%7D%7B6%7D%3D32%20%5Cdfrac%7B5%7D%7B6%7D%5C%20lbs)
Ella should add
lbs of water.
Total weight of syrup
![32\dfrac{5}{6}+\dfrac{1}{2}=32\dfrac{5}{6}+\dfrac{3}{6}=33\dfrac{1}{3}\ lbs](https://tex.z-dn.net/?f=32%5Cdfrac%7B5%7D%7B6%7D%2B%5Cdfrac%7B1%7D%7B2%7D%3D32%5Cdfrac%7B5%7D%7B6%7D%2B%5Cdfrac%7B3%7D%7B6%7D%3D33%5Cdfrac%7B1%7D%7B3%7D%5C%20lbs)
1. 6 people
2. 52 people
3. 13 people said it takes less than half hour, and 13 people said it takes longer than half hour. It’s a tie.
4. When asked, it takes most people either 30 minutes or 60 minutes.
Answer:
(4,5)
Step-by-step explanation:
5x+y=25 equation 1
-3x+2y=-2 equation 2
y=25-5x isolate y from equation 1
-3x+2(25-5x)=-2 substitute y value into equation 2
-3x+50-10x=-2
-13x=-52
x=4
solve for y by inserting x value into either equation.
5x+y=25
5(4)+y=25
20+y=25
y=5
To be divisible by both 7 and 8 a number must be a multiple of 56.
Multiples of 56 are just 56n. We wish to know the largest of three digit numbers that is a multiple of 56 then. So:
56n<1000
n<1000/56
n<17.86 and since n must be an integer n=17
Then the largest three digit multiple of 56 is:
56(17)=952