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AVprozaik [17]
2 years ago
7

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

Mathematics
1 answer:
Alexandra [31]2 years ago
7 0
37x + 45y = 7940
75x + 45y = 10,410

Since 45y is in both equations we can more easily transfer from first equation to 2nd equation.

In the first equation, subtract 37x from each side and you have 45y = 7940 - 37x. Replace the 45y in the second equation with (7940 - 37x).

Now you have 75x + (7940 - 37x) = 10,410

Simplify by combining 75x - 37x and you have 38x + 7940 = 10,410

Subtract 7940 from both sides and you have 38x = 2470.

Divide both sides by 38 and you have x = 65

To solve for y, take you first equation (or even the second one) and substitute c for 65.

(37 x 65) + 45y = 7940
2405 + 45y = 7940

Subtract 2405 from each side.

45y = 5535

Divide each side by 45 and you have y = 123

Regular tickets = $65
VIP tickets = $123
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Write an equation in slope-intercept form of the line that bisects the angle formed by BA and BC
slega [8]

Given:

Angled formed by ray BA and ray BC is 90 degrees.

To find:

The equation of line that bisects the angle formed by ray BA and ray BC.

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If a line bisects the angle formed by ray BA and ray BC, then it must be passes through point B and makes angles of 45 degrees with ray BA and ray BC.

It is possible if the line passes though point B(-1,3) and other point (-2,4).

Equation of line is

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y=-x-1+3

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3 years ago
Need help finding the side length, thank you! please try and show work or you can
Tasya [4]

Answer: x=16

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For this problem, we can set a proportion to find the side length of the smaller rectangle.

\frac{15}{24}=\frac{10}{x}                                     [cross multiply]

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x=16

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