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Lelu [443]
3 years ago
10

Students receive a 15% discount at the local movie theater. If a student pays the discounted price of $7.65, what is the origina

l price of the movie ticket?
Mathematics
1 answer:
Over [174]3 years ago
7 0

Answer:

\large \boxed{\$9.00}

Step-by-step explanation:

Let p = the original price of the ticket

\begin{array}{rcl}\text{ Price before discount - discount} & = & \text{sale price}\\p - 0.15p & = & 7.65\\0.85p & = & 7.65\\p & = & \dfrac{7.65 }{0.85}\\\\& = & \mathbf{9.00}\\\end{array}\\\text{The original price of the ticket was $\large \boxed{\mathbf{\$9.00}}$}

Check:

\begin{array}{rcl}9.00 - 0.15(9.00) & = & 7.65\\9.00 - 1.35 & = & 7.65\\7.65 & = & 7.65\\\end{array}

OK.

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Solving systems of equations using substitution. y=2x+8. y=5-x
kherson [118]

Answer:

(x, y) = (-1, 6)

Step-by-step explanation:

y = 2x + 8

y = 5 - x

Substituting the second equation into the first equation, we get:

5 - x = 2x + 8

5 = 3x + 8

-3 = 3x

x = -1.

So, y = 5 - (-1).

Simplifying, we get:

y = 6.

4 0
3 years ago
20 points! Please Help me!
tigry1 [53]
The answer to the following equation is B
7 0
3 years ago
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An online data base charges $25 an hour during the day and $12.50 an hour at night. If a research company paid $250 for 12 hours
Firdavs [7]

Answer

Find out the  which system of equations could be used to determine the number of hours charged at the day rate (d) and at the night rate (n) .

To proof

As given in the question

Let us assume that the number of hours charged at the day rate = d

Let us assume that the number of hours charged at the night rate = n

An online data base charges $25 an hour during the day and $12.50 an hour at night. If a research company paid $250 for 12 hours of use.

Total working hour in a company including day and night be  12 hours .

than the equation become in the form

d + n = 12

also

An online data base charges $25 an hour during the day

$12.50 an hour at night.

If a research company paid $250 for 12 hours of use.

than the equation becomes

25d + 12.50n = 250

than the two equation are

d + n = 12 , 25d + 12.50n = 250

multiply first by 25 and subtracted  from 25d + 12.50n = 250

25d - 25d + 12.50n - 25n = 250 - 300

12.5 n = 50

n = \frac{50}{12.5}

n = 4hours

put this in the d + n = 12

d + 4 =12

d = 12-4

d = 8 hours

Therefore the number of hours charged at the day rate  is 8 hours  and at the night rate is  4hours .

Hence proved



4 0
4 years ago
How could you find an even better estimate of the square root of 2
vodomira [7]

Answer:

First of all you need to know the \sqrt {4} it's equal to 2 and

\sqrt {1} which is the number is between 1 and 2 and between that number there maybe the possibilities of above 0.5 or under 0.5

After that Figure out which one was bigger?  \sqrt {2} or \sqrt {3} ? The answer is \sqrt {3} and \sqrt {3} also near to \sqrt {4} so it should be above 0.5 .

So we know that \sqrt {2} is between 1 and 1.5.

Hopes that information was help you a lot

6 0
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:. Solve for w. P = 2(1 + w)
iragen [17]

answer : 1 = P/2 - 2

6 0
2 years ago
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