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marusya05 [52]
4 years ago
7

a comedy show sells lower level tickets for $78 and upper level tickets for $59. on the opening knight 2368 tickets were sold fo

r total and $157800
Mathematics
1 answer:
shusha [124]4 years ago
3 0
Let L represent lower level tickets and U upper level.

Starter equations:
L + U = 2368
78L + 59U = 157800

Solve simultaneous equations:
59L + 59U = 139712
so 19L = 18088
L = 952
U = 2368 - 952 = 1416

952 lower level tickets and 1416 upper level tickets were sold.
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Stella has 63 coins. The coins are a mixture of quarters and dimes. She has a total of $10.80. How many quarters and how many di
nika2105 [10]
Q + d = 63....q = 63 - d
0.25q + 0.10d = 10.80

0.25(63 - d) + 0.10d = 10.80
15.75 - 0.25d + 0.10d = 10.80
-0.25d + 0.10d = 10.80 - 15.75
-0.15d = -4.95
d = -4.95/-0.15
d = 33 <=== 33 dimes

q + d = 63
q + 33 = 63
q = 63 - 33
q = 30 <=== 30 quarters
7 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point -4, —8) and has a<br> slope of 4?
HACTEHA [7]

Answer:

y = 4x + 8

Step-by-step explanation:

A linear formula always follows by y = mx + c, where m is the gradient and c is the y-intercept or constant.

Since you know that the slope is 4, all you need to do is find the y-intercept (constant)

y = 4x + c

Sub in the points (-4, -8)

-8 = 4(-4) + c

-8 + 16 = c

c = 8

Hence, y = 4x + 8

5 0
4 years ago
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Ronch [10]
The correct answer is $3.18 per gallon
5 0
3 years ago
Petersons bought 249,000 townhome. They made a down payment of $42000.00 and took mortgage for the rest. Over the course of 30 y
xenn [34]

Answer:

Answer in photo

6 0
3 years ago
Determine the area of the shaded region (grey) in the quadratic form.
NeX [460]

Answer:

The area of shaded region is: 13x^2+6x-15

Step-by-step explanation:

We can see in the diagram that

Length\ of\ gray\ rectangle = l_g = 3x+5\\Width\ of\ gray\ rectangle = w_g = 4x-3

The area of rectangle is given by:

Area = Length * width

<u>Now for gray rectangle</u>

A_g = l_g * w_g\\= (3x+5)(4x-3)\\= 3x(4x-3)+5(4x-3)\\= 12x^2-9x+20x-15\\=12x^2+11x-15

<u>For White Rectangle:</u>

Length = l = 5-x\\Width = w = x\\A_w = l * w\\A_w = (5-x)(x)\\= 5x-x^2

Now,

The area of shaded region will be calculated by subtracting the area of white triangle from the gray triangle.

A_s = A_g - A_w\\= (12x^2+11x-15) - (5x-x^2)\\=12x^2+11x-15-5x+x^2\\=12x^2+x^2+11x-5x-15\\=13x^2+6x-15

Hence,

The area of shaded region is: 13x^2+6x-15

4 0
3 years ago
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