Let Peter's hit be x and Alice's runs be y.
x = 2(y - 6) . . . (1)
x + y = 18 . . . (2)
Putting (1) into (2) gives,
2y - 12 + y = 18
3y = 18 + 12 = 30
y = 30/3 = 10
x = 2(10 - 6) = 2(4) = 8
Therefore, Peter hit 8 home runs and Alice hit 10 home runs.
Well he probably likes you and if you like him tell him, but make sure he isn’t playing you and you are ok with dating first. If you don’t like him and he likes you let him down nicely cause you don’t wanna be rude. All the signs are there, so do what ever pleases you.
Answer:
Step-by-step explanation:
For example,
<u>Solution: Finding a unit rate</u>
If we divide 150 by 20, we get the unit rate for the ratio, 150 minutes for every 20 miles.
150÷20=7.5
So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:
7.5 minutes mile × 6 miles = 45 minutes
Thus it will take her 45 minutes to run 6 miles at this pace.
If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.
If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.
We found her pace in minutes per miles in part (a).
Answer:
x = 43
Step-by-step explanation:
2x + 16 = 3(x - 9)
2x + 16 = 3x - 27
2x - 16 = 3x -27 (-16)
2x = 3x -43
2x (-3x) = -43
-1x or -x
-x = -43
-43/ -x = 43
9514 1404 393
Answer:
-1/7
Step-by-step explanation:
To find the x-intercept, set y=0 and solve for x.
0 = 7/4x +1/4
Multiply by 4/7
0 = x + 1/7
Subtract 1/7
-1/7 = x
The x-intercept is -1/7.
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In decimal, that is -0.142857... (6-digit repeating decimal)
