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Cloud [144]
3 years ago
5

The manager of a theater wants to know whether majority of his patrons are adults or children. One day, 5400 tickets were sold a

nd the receipts totaled $41,616. The adults admission is $9.50, and the children's admission is $6.50. How many adults patrons were there? ​
Mathematics
1 answer:
aliina [53]3 years ago
4 0

Answer:

2,172 adults

Step-by-step explanation:

Let adults = x

children = y

x + y = 5400

9.5x + 6.5y = 41,616

Let's use the elimination method to solve this.

Multiply the top equation by -6.5

(x + y = 5400)-6.5

-6.5x - 6.5y = -35100

This will allow us to eliminate the y and add up the other terms

9.5x + 6.5y = 41,616

-6.5x - 6.5y = -35100

3x = 6516

Divide both sides by the coefficient, 3, to isolate the variable, x

3x/3 = 6516/3

x = 2172

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Which expression is equivalent to 7/10-2/10
ki77a [65]

Solution:

we have been asked to find

The expression is equivalent to 7/10-2/10

we can simplify the given expression as below

\frac{7}{10}-\frac{2}{10}=\frac{7-2}{10}\\ \\ \Rightarrow \frac{7}{10}-\frac{2}{10}=\frac{5}{10}\\ \\ \text{Simplify we get}\\ \\ \frac{7}{10}-\frac{2}{10}=\frac{1}{2}\\

Hence the simplified expression , equaivalent to the given expression is 1/2.

4 0
3 years ago
Read 2 more answers
The newspaper reported that the Dow Jones Industrials have had a low of 8,062 and a high of 11,350. The Dow Jones Transportation
Marianna [84]

Answer:

The stock market crash of 2020 began on March 9, 2020. The Dow fell a record 2,013.76 points to 23,851.02. It was followed by two more record-setting point drops on March 12 and March 16. The stock market crash included the three worst point drops in U.S. history.

Step-by-step explanation:

8 0
3 years ago
For a certain race, 4 teams were allowed to enter 3 members each. A team earned 9 – n points whenever one of its members finishe
emmasim [6.3K]

Answer:

D. 3 Points

Step-by-step explanation:

Given

Members = 3

Point = 9 - n

1 \leq\ n \leq 8

Required

Determine the least possible score

The least point a member of a team can get is when n = 8.

i.e.

Point = 9 - n

Point = 9- 8

Point = 1

To get the least score, each of the 3 members must have 1 point each.

So:

Total = 3 * 1

Total = 3

5 0
3 years ago
Which of the following would you add to each side of the equation x-9=12 to get the variable by itself?
VLD [36.1K]
X-9=12
x-9+9=12+9
You need to add 9 to each side of the equation.
x=21
6 0
3 years ago
Dane is investing $150,000 for 30 years at an annually compounded rate of 5.5%. What is the difference between his ending accoun
navik [9.2K]
<span>Total = Principal × ( 1 + Rate )<span>^years
</span></span><span>Total = 150,000 * (1.055) ^ 30
</span>Total = 150,000 * <span> <span> <span> 4.9839512884
</span></span></span>Total = <span> <span> <span> 747,592.69</span></span></span>

<span>Total = 150,000 * (1.065) ^ 30
</span><span><span><span>Total = 150,000 * 6.614366163 </span> </span> </span>
<span>Total = 992,154.92</span>

Difference = 992,154.92 -<span>747,592.69 =
</span><span>244,562.23 </span>

Source:
http://www.1728.org/compint.htm
online interest calculator



7 0
3 years ago
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