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Daniel [21]
3 years ago
11

A recreation center charges nonmembers $3 to use the pool and $5 to use the basketball courts. A person pays $42 to use the recr

eation facilities 12 times. How many times did the person use the pool?
Mathematics
1 answer:
Andrei [34K]3 years ago
5 0
Let x = times in the pool
Let y = times in the basketball courts

42=3x+5y
x+y=12
Therefore y = 12-x
Subsitute for y
42 = 3x + 5(12-x)
42 = 3x + 60 -5x
Subtract 60
-18 = -2x
9 = x

The person used the pool 9 times.

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Wayne and Winston are scuba diving and are ascending to the surface. The function y = 30x − 105 represents Wayne’s elevation in
arsen [322]
The function that represents Wayne´s elevation:
y = 30 x - 105
The function that represents Winston´s elevation:
- 100 = 0 m + b
b = -100
-16 = 3m - 100
3 m = 84
m = 84 : 3 = 28
y = 28 x - 100
Surface level: y = 0
Wayne:
0 = 30 x - 105
x = 3.5 minutes
Winston:
0 = 28 x - 100
x = 3.57 minutes
If they both ascend at the same rate, Wayne will be first to the surface.
5 0
3 years ago
September 6 is a Read Book Day.Polina read 5 times as many pages as Marcus read.Together,the read 108 pages.How many pages did e
Gemiola [76]

Answer:

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

Step-by-step explanation:

Let

x -----> number of pages that Polina read

y ----> number of pages that Marcus read

we know that

x+y=108 ----> equation A

x=5y -----> equation B

substitute equation B in equation A and solve for y

5y+y=108\\6y=108\\y=18

Find the value of x

x=5y -----> x=5(18)=90

therefore

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

3 0
2 years ago
The figures are similar. Find the missing length
Delicious77 [7]

Answer:

4.5 feet, or is there is 5 feet as an option, then 5 feet.

Step-by-step explanation:

ya just subtract

3 0
3 years ago
2/3 - 3/7<br><br> explain, please...
Artemon [7]
Find a common denominator
the common denominator of 7 and 3 is 21
2/21 - 3/21
change the numerator
14/21 - 9/21 =5/21
7 0
3 years ago
Read 2 more answers
An elephant can eat 450 pounds of vegetation per day.how long will a 3600-pound supply of vegetation last the elephant?
posledela

So if they eat 450 lb a day and you have a 3600 lb supply you simply divide 3600 by 450.

3600/450=8 days

so your final answer is 8 days.

5 0
3 years ago
Read 2 more answers
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