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Kay [80]
2 years ago
6

On a certain hot summer day, 738 people used the public swimming pool.The daily prices are 1.50 for children and 2.00 for adults

.The receipts for admission totaled 1306.00 .How many children and how many adults swam at the public pool that day?
Mathematics
1 answer:
Artemon [7]2 years ago
7 0

Answer:

A = 340 adult.

C = 398 children.

Step-by-step explanation:

Let the number of children be C

Let the number of adults be A

Translating the word problem into an algebraic equation, we have;

A + C = 738  .......equation 1

1.5C + 2C = 1306  .......equation 2

A = 738 - C .......equation 3

Substituting eqn 3 into eqn 2, we have;

1.5(738 - C) + 2C = 1306

1107 - 1.5C + 2C = 1306

1306 - 1107 = 2C - 1.5C

199 = 0.5C

C = 199/0.5

<em>C = 398 children. </em>

Now, to find the value of A.

From equation 3;

A = 738 - C

A = 738 - 398

<em>A = 340 adult. </em>

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Infotron Inc makes electronic hockey and soccer games. Each hockey game requires 2​ labor-hours of assembly and 2​ labor-hours o
OlgaM077 [116]

Answer:

<u>Infotron should produce each day 13 hockey and 6 soccer games</u>

Step-by-step explanation:

x = Number of hockey games Infotron should produce

y = Number of soccer games Infotron should produce

Number of labor-hours for assembly = 2x + 3y

Number of labor-hours for testing = 2x + y

Now we can write our equations system, this way:

2x + 3y = 44

2x + y = 32

*********************

Expressing y in terms of x in the 2nd equation:

2x + y = 32

y = 32 - 2x

********************

Substituting y and solving for x in the 1st equation:

2x + 3y = 44

2x + 3 * ( 32 - 2x) = 44

2x + 96 - 6x = 44

-4x = 44 - 96

-4x = - 52

x = -52/-4

x = 13

*****************

Solving for y in the 2nd equation:

2x + y = 32

2 * 13 + y = 32

26 + y = 32

y = 32 - 26

y =<u> 6</u>

<u>Infotron should produce each day 13 hockey and 6 soccer games</u>

7 0
3 years ago
What is the slope of 3,5 and -3,-5
olya-2409 [2.1K]
The slope is 5/3 five over 3. You youse the formula y2 - y1 over x2-x1. Plug into calculator,and then reduce.
5 0
3 years ago
What number is in between 375 and 400?
Georgia [21]
376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400
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hope this helped
7 0
3 years ago
If a paper plane is thrown from the top of a 147-foot cliff into the water below, the height of the plane at any given time can
sasho [114]

Answer:

c. 6.5 seconds.

Step-by-step explanation:

We have been given that a a paper plane is thrown from the top of a 147-foot cliff into the water below, the height of the plane at any given time can be determined by the formula h = -3t^2+147, where h is the height of the plane at t seconds.

To find the time, when plane will be at a height of exactly 20.25 feet, we will substitute h=20.25 in our given formula and solve for t as:

20.25= -3t^2+147

-3t^2+147=20.25

-3t^2+147-147=20.25-147

-3t^2=-126.75

\frac{-3t^2}{-3}=\frac{-126.75}{-3}

t^2=42.25

Take square root of both sides:

t=\pm \sqrt{42.25}

t=\pm 6.5

Since time cannot be negative, therefore, the plane will be at a height of exactly 20.25 feet after 6.5 seconds and option 'c' is the correct choice.

6 0
3 years ago
A city has a population of 400,000 people. suppose that each year the population grows by 7.25%. what will the population be aft
rusak2 [61]
The population after 14 years would be 806,000
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