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Fiesta28 [93]
2 years ago
14

A total of 815 tickets were sold for the school play. They were either adult tickets or student tickets. There were 65 more stud

ents tickets sold than adults tickets. How many adults tickets were sold
Mathematics
1 answer:
kvv77 [185]2 years ago
5 0

Answer:

<u>375 Adult Tickets.</u>

Step-by-step explanation:

Here, we can simply set up an equation using variable <em>x </em>in place of the unknown student/adult tickets.

x = # of <u>adult</u> tickets sold

x + 65 = # of <u>student</u> tickets sold.

1) x + x + 65 = 815 (set both ticket amounts equal to the total)

2) 2x + 65 = 815 (added common variables together)

3) 2x = 750 (negated the +65, subtracted it from both sides)

4) x = 375 (divided both sides by 2)

5) 815 - 375 = 440 (subtracted the x from the total number of <u>adult</u> tickets, to recieve the amount of <u>childrens</u>' tickets.

Therefore,

Since there were fewer adult tickets sold (-65), 375 is the number of adult tickets, and 440 is the number of student tickets.

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A landscaping company charges $50 per cubic yard of mulch plus a delivery charge of $24. Find a
Zigmanuir [339]

Answer: c(x) = $50*x + $24

Step-by-step explanation:

First, this situation can be modeled with a linear equation like:

c(x) = s*x + b

where c is the cost, s is the slope, x is the number of cubic yards of mulch bought, and b is the y-intercept ( a constant that no depends on the number x)

Then we know that:

The company charges $50 per cubic yard, so the slope is $50

A delivery charge of $24, this delivery charge does not depend on x, so this is the y-intercept.

Then our equation is:

c(x) = $50*x + $24

This is:

"The cost of buying x cubic yards of mulch"

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3 years ago
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Answer:

Below

Step-by-step explanation:

5 0
3 years ago
PLEASE HELP step by step
Katen [24]

Answer:

The length of the line segment is 10 units.

Step-by-step explanation:

Let us call the given two points: (x₁, y₁) = (2, -3) and (x₂, y₂) = (8, 5).

The distance between two points, d = $ \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} } $

Here, $ (x_1, y_1) = (2, -3) $ and

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Therefore, distance, d = $ \sqrt{(8 - 2)^2 + (5 - (-3))^2 $

$ = \sqrt{6^2 + 8^2} $

$ = \sqrt{36 + 64} $

$ = \sqrt{100} $

= 10 units.

Hence, the answer.

3 0
3 years ago
if 4 times a number is increased by 6, the result is less than 15 than the square of the number. find the number​
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n = 7

n = -3

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4n = n² - 21

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