9514 1404 393
Answer:
Step-by-step explanation:
For this to have infinitely many solutions, the left side and right side must simplify to the same expression. The left side is already simplified, so we need to find the right numbers for the right side.
Coefficient of x:
7x = __x + 3x
4x = __x . . . . . . subtract 3x; next divide by x
4 = __ . . . . . the required x-coefficient is 4
Constant term:
-8 = 8 -__
-16 = -__ . . . . . subtract 8
16 = __ . . . . . . multiply by -1
__
The numbers that go in the boxes are 4 and 16.
Answer:
20
Step-by-step explanation:
1/3 = .3
6/.3 = 20
Answer:
3,833 for $28
2167 for $40
Step-by-step explanation:
Let X be the number of tickets sold at the price of $24, And Y be the number of tickets sold at the price of $40.
Now, $ 28X will be the revenue generated due to the $28 tickets
And, $40Y will be the revenue generated due to the 40$ tickets.
Now, Total revenue generated should be $194400.
Thus , 28X + 40Y = 194400 -(1).
Also,
Total number of seats in theater is 6000.
So, X + Y = 6000. -(2)
X = 6000 - Y.
Put in equation 1
We get , 168,000 - 28Y + 40Y = 194,400
12Y = 26,000
Y = 2,166.66
Since , Y is of 40 $ so minimum tickets sold should be 2167.
X = 3,833.
Answer: Her refund would be $5,681.20.
The problem says that Laura paid the estimate above, which is 28%.
0.28 x 134350 = 37618
However, she had some deductions.
134350 - 4000 - 12200 - 4090 = 114060
So, to find the tax on this amount, we multiply it again by 0.28.
0.28 x 114060 = 31936.8
The amount of the refund will be the difference.
37618 - 31936.8 = 5681.2
