Answer:
Step-by-step explanation:
From the first set 20 corresponds to 1/6
for a fraction of 2/3 = 4/6
thus 4 * 1/6 = 4 * 20 = 80 calories
For 10 calories,
20 * 1/2 = 10 calories thus
1/6 * 1/2 = 1/12
For 90 calories,
10 * 9 = 90 calories thus,
1/12 * 9 = 9/12 = 3/4
Answer:
Lisa's team have played 24 home games and 25 away games.
Step-by-step explanation:
Given:
Let
represents games played at home.
also
represent games played away.
Total number of games played = 49
∴ ![x+y=49 \ \ \ \ equation \ 1](https://tex.z-dn.net/?f=x%2By%3D49%20%5C%20%5C%20%5C%20%5C%20%20equation%20%5C%201)
Now according to given data:
Number of home games won = ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
Number of away game won = ![\frac{2}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D)
Total games won =26
Hence
![\frac{2}{3}x+\frac{2}{5}y=26\\\\\frac{2\times 5}{3\times 5}x+\frac{2\times 3}{5\times 5}y=26\\\\\frac{10}{15}x+\frac{6}{15}y=26\\\\\frac{10x+6y}{15}=26\\\\10x+6y= 26\times 15\\10x+6y = 390\\2(5x+3y)=390\\5x+3y=\frac{390}{5}\\\\5x+3y=195 \ \ \ \ equation \ 2\\](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7Dx%2B%5Cfrac%7B2%7D%7B5%7Dy%3D26%5C%5C%5C%5C%5Cfrac%7B2%5Ctimes%205%7D%7B3%5Ctimes%205%7Dx%2B%5Cfrac%7B2%5Ctimes%203%7D%7B5%5Ctimes%205%7Dy%3D26%5C%5C%5C%5C%5Cfrac%7B10%7D%7B15%7Dx%2B%5Cfrac%7B6%7D%7B15%7Dy%3D26%5C%5C%5C%5C%5Cfrac%7B10x%2B6y%7D%7B15%7D%3D26%5C%5C%5C%5C10x%2B6y%3D%2026%5Ctimes%2015%5C%5C10x%2B6y%20%3D%20390%5C%5C2%285x%2B3y%29%3D390%5C%5C5x%2B3y%3D%5Cfrac%7B390%7D%7B5%7D%5C%5C%5C%5C5x%2B3y%3D195%20%5C%20%5C%20%5C%20%5C%20equation%20%5C%202%5C%5C)
Now multiplying equation 1 by 3 we get,
![3(x+y)=3\times49\\3x+3y=147 \ \ \ \ \ equation \ 3\\](https://tex.z-dn.net/?f=3%28x%2By%29%3D3%5Ctimes49%5C%5C3x%2B3y%3D147%20%5C%20%5C%20%5C%20%5C%20%5C%20equation%20%5C%203%5C%5C)
Now Subtracting equation 2 by equation 3 we get,
![(5x+3y=195)-(3x+3y=147)\\2x=48\\x= \frac{48}{2}=24](https://tex.z-dn.net/?f=%285x%2B3y%3D195%29-%283x%2B3y%3D147%29%5C%5C2x%3D48%5C%5Cx%3D%20%5Cfrac%7B48%7D%7B2%7D%3D24)
Substituting value of x in equation 1 we get.
![x+y=49\\24+y=49\\y=49-24=25](https://tex.z-dn.net/?f=x%2By%3D49%5C%5C24%2By%3D49%5C%5Cy%3D49-24%3D25)
Hence Lisa's team have played 24 home games and 25 away games.
70 miles x
————— = ———-
1 hour 14 hours
Cross multiply.
70 • 14 = x
980 = x
Alejandra drove 980 miles.
Answer:
4,440
Step-by-step explanation:
124% ----------3720
148% ---------- 3720 / 124 x 148 = 4440
Answer:
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