First answer: 12
Second answer: 6
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How to get these answers
She uses 1/3 of a cup for 1 cake, so we have this ratio
1/3 cup : 1 cake
Multiply both sides by 3 and we end up with
1 cup : 3 cakes
Then multiply both sides by 4 to change "1 cup" to "4 cups" and we have
4 cups : 12 cakes which is the answer to the first part
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For part 2, we'll follow the same steps as before, but instead of multiplying both sides by 4, we do 2 instead because we're dealing with 2 cups of oil.
1/3 cup : 1 cake
3*(1/3 cup) : 3*(1 cake)
1 cup : 3 cakes
2*(1 cup) : 2*(3 cakes)
2 cups : 6 cakes which is the answer to the second part
Use the substitution method:
2x - 6y = -12
x - 2y = -8
Then x = 2y - 8
Substitute in the first equation:
2(2y - 8) - 6y = -12
4y - 16 - 6y = -12
-2y = 4
y = -2
Now substitute y in one of the two equations given you prefer:
For example x-2*(-2) = -8
x + 4 = -8
x = -12
The solutions are x = -12 and y = -2
Answer:
7.5
Step-by-step explanation:
3 + 9 + 13 + 8 + 10 + 2 = 45
There are 6 numbers so we divide 45 by 6
45/6 = 7.5
X + y= 30
.05x + .10y= 1.65
n + d = 30
5n + 10d = 165
-5n - 5d = -150
5n + 10d = 165
5d = 15
d = 3 dimes
n + 3 = 30
n= 27 nickels
Answer:
D, or the last option.
Step-by-step explanation:
See how the rotation does not say whether it is Clockwise or Counterclockwise?
Now, what that means, is that it will, default, be CCW. I don't know why, but math teachers are like that.
Now, 80* and 10* add up to 90* (because they are both unmarked and going to the same direction).
So, 90* rotation CCW. Simple! Thus, the last option should be correct.
Hope this helps!
P.S. Stay Safe!
