A + c = 824 represents number of tickets to sell
20a + 12c = 13,344 represents cost of each type of ticket
multiply equation 1 by -12 to cancel the variable 'c' and solve for 'a'
-12(a + c = 824)
-12a - 12c = - 9888
20a + 12c = 13,344 add equations together
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8a = 3456 divide both sides by 8
a = 432
To find children's tickets substitute adult numbers back into equation 1.
a + c = 824
432 + c = 824
subtract 432 from both sides
c = 392
adult 432, children 392
Answer:
y = -34
Step-by-step explanation:
Step 1
1/4 y + 9 = 1/2
1/4 + 9 - 9 = 1/2 - 9
1/4 y = -17/2
Step 2
4 * (1/4 y) = 4* (-17/2)
y = -34
Hope this helps!!
Answer:
V = 32/3 pi
Step-by-step explanation:
The volume of a sphere is given by
V= 4/3 pi r^3
We know the radius is 2
V = 4/3 pi (2)^3
V = 4/3 pi (8)
V = 32/3 pi
After the new test, she now has taken 8 tests.
Set it up just like when finding the average:
(87+79)/8
Solve for the new test average
