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N76 [4]
3 years ago
8

On a certain hot summer's day, 344 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for a

dults. The receipts for admission totaled $537.00. How many children and how many adults swam at the public pool that day?​
Mathematics
1 answer:
Nata [24]3 years ago
3 0

Answer: 302 children and 42 adults

Step-by-step explanation:

x= Children y= Adults

x+ y = 344

1.50x + 2y= 537

Then I would use elimination and multiply the first equation by -2.

-2x-2y= -688

+1.5x+2y= 537

Add the equations and get

-0.5x= -151

Divide by -0.5

x= 302

Then plug x back into the equation.

302+y=344

Subtract 302 from both sides.

y=42

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What is the solution set -4.9x +1.3 > 11.1
Irina18 [472]

Answer:

x < - 2

Step-by-step explanation:

given - 4.9x + 1.3 > 11.1 ( subtract 1.3 from both sides )

- 4.9x > 9.8 ( divide both sides by - 4.9 )

Remembering to reverse the direction of the inequality symbol as a result of dividing by a negative quantity.

x < - 2 ← inequality reversed

solution set : x ∈ ( - ∞, - 2 )


8 0
3 years ago
When Carson runs the 400 meter dash, his finishing times are normally distributed with a mean of 63 seconds and a standard devia
Gnom [1K]

Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.

Step-by-step explanation:

The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.

2 standard deviations = 2 × 0.5 = 1

63 - 1 = 62 seconds

63 + 1 = 64 seconds

Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.

6 0
3 years ago
There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Write a system of equations tha
olga55 [171]

Answer:

well

Step-by-step explanation:

44 legs and 15 animals you have to subtract

7 0
4 years ago
Solve the system of equations.<br> – 5x + 2y = 9<br> y = 7x<br><br> X =<br> Y =
Sphinxa [80]

Answer:

<em> x−y = 9 , x + y = 6</em>

<em>x + y = 4  ,  x − y = 2</em>

<em>x + 2 y = 4  ,  x − y = − 3 </em>

<em>try out these examples?</em>

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5 0
3 years ago
Read 2 more answers
What is the domain of the function graphed below?
I am Lyosha [343]

Answer:

x < 7

Step-by-step explanation:

the domain is the number range or interval of x the function is defined for to generate a y-value.

the graph shows that the y-values continue with x-values to the right up to but not including 7 (the empty dot says "excluding"). and with x- values to the left to negative infinity.

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so, it is fully defined for all x < 7.

4 0
3 years ago
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