Answer:
Each muffin= 1.5; Each quart of milk= 3
Step-by-step explanation:
Let m represent muffins and q quarts of milk, so
8m+2q=18
3m+1q=7.50
*solve*
3m+1q=7.5
-1q -1q
3m=-1q+7.5
/3 /3 /3
m=-1/3q+2.5
*replace for m*
8(-1/3q+2.5)+2q=18
-2 2/3q+20+2q=18
-2/3q+20=18
-20 -20
-2/3q=-2
/-2/3 /-2/3
q=3
*replace to find m*
3m+1(3)=7.50
3m+3=7.5
-3 -3
3m=4.5
/3 /3
m=1.5
*replace to verify*
8m+2q=18
8(1.5)+2(3)=18
12+6=18
18=18
3m+1q=7.50
3(1.5)+1(3)=7.5
4.5+3=7.5
7.5=7.5
Answer:
28°
Step-by-step explanation:
complimentary angles = their sum is 90.
so to find the complimentary angle of 62, just subtract it from 90.
90-62 = 28
your answer is 28°
good luck with your schoolwork/homework!
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apologies in advance for incorrect answers or bad explanations.
Answer: the rate of the boat in calm water is 9 mph and the rate of the current is 7 mph
Step-by-step explanation:
Let x represent the rate of the boat in calm water.
Let y represent the rate of the current.
A boat goes 32 miles downstream in two hours. Assuming that it travelled in the direction of the current, its total speed would be
x + y mph
Distance = speed × time
Distance covered downstream is
32 = 2(x + y)
16 = x + y - - - - - - - - - - - -1
The return trip against the current takes sixteen hours.
Its total speed would be x - y mph
Distance = speed × time
Distance covered on return trip is
32 = 16(x - y)
2 = x - y - - - - - - - - - - - -2
Adding equation 1 and equation 2, it becomes
18 = 2x
x = 18/2 = 9 mph
Substituting x = 9 into equation 1, it becomes
16 = 9 + y
y = 16 - 9 = 7 mph
A, b, d, g are the answers in order
It is negative because the plot is going down not up