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2 years ago

A theater company has raised $930.75 by selling 25 floor seat tickets. Each ticket costs the same.

Mathematics

1 answer:

tester [92]2 years ago

4 0

Part A:

To find the total mount made by selling the tickets, you need to multiply the number of tickets sold by the price of each ticket. Let the price of a ticket be X.

The equation would be Total = 25x

Part B:

Replace total with the amount they made and solve for x ( the price of a ticket).

930.75 = 25x

Divide both sides by 25:

X = 930.75 / 25

X = 37.23

The price of a ticket was $37.23

To know if it is right, multiply your answer by the number of tickets sold to see if it equals the total made:

37.23 x 25 = 930.75

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3 years ago

Write an equation for the line parallel to y = -7x + 15 that passes through the point P(9,-6).

Elan Coil [88]

Answer:

y = -7x + 57

Step-by-step explanation:

If the line is parallel, it will have the same slope. So, this line will also have a slope of -7.

Use y = mx + b, plug in the slope and given point, and solve for b:

y = mx + b

-6 = -7(9) + b

-6 = -63 + b

57 = b

Plug in the slope and y intercept into y = mx + b:

y = mx + b

y = -7x + 57

So, the equation is y = -7x + 57

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3 years ago

GEOMETRY HELPP 15 POINTS - PICTURE INCLUDED

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3 years ago

Read 2 more answers

Show that the transformation T defined by T(x1, x2) = (2x1 - 3x2, X1+4, 5x2) is not linear.

erastovalidia [21]

Let u = (1, 0) and v = (0, 1). Then

T (u) = (2*1 - 3*0, 1 + 4, 5*0) = (2, 5, 0)

T (v) = (2*0 - 3*1, 0 + 4, 5*1) = (-3, 4, 5)

=> T (u) + T (v) = (-1, 9, 5)

but

T (u + v) = T (1, 1) = (2*1 - 3*1, 1 + 4, 5*1) = (-1, 5, 5)

=> T (u + v) ≠ T (u) + T (v)

which means T does not preserve addition, so it is not linear.

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2 years ago

Kent and Bradley both work at a car dealership. Kent makes $10/hour + 3% on the amount of sales he completes. Bradley only makes

Masteriza [31]

Answer: There is difference of $660 in their paychecks.

Step-by-step explanation:

Since we have given that

Number of hours in one week they worked = 40

Amount of sales = $78000

Kent makes $10 per hour plus 3% on the amount of sales .

So, the equation for Kent becomes,

$10\times 40+\frac{3}{100}\times 78000\\\\=400+3\times 780\\\\=400+2340\\\\=\$2740$

Similarly, Bradley only makes $7 per hour but he makes 4% on the amount of his sales .

So, the equation for Bradley becomes,

$7\times 40+\frac{4}{100}\times 78000\\\\=280+4\times 780\\\\=280+3120\\\\=\$3400$

hence, the difference between of their paychecks is given by

$\$3400-\$2740\\\\=\$660$

Therefore, there is difference of $660 in their paychecks.

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2 years ago