1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Amiraneli [1.4K]
3 years ago
6

​ On a certain hot​ summer's day, 335 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 fo

r adults. The receipts for admission totaled $619.2. How many children and how many adults swam at the public pool that​ day?
Mathematics
1 answer:
spin [16.1K]3 years ago
4 0

Answer:

57

Step-by-step explanation:

Let c represent the number of children ($1.75 each) and a represent the number of adults ( $2.00 each).

We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c

We also know that $1.75 c + $2.00 a = $609.25

By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25

Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

Subtract $680 from both sides and combine like terms to get - $0.25 c = -

$70.75

Now, divide both sides by -$0.25 to get c = 283, the number of children.

The number of adults is 340 - c or 340 - 283 = 57

You might be interested in
Find q if p = -12 and the quotient p/q = -3.
s2008m [1.1K]

The quotient to p/q = -3 is 4

3 0
3 years ago
What would a piece 430 feet 3 inches cost if you get a 10% discount for the larger volume? A piece of wire cable 180 ½ feet long
alexgriva [62]
To get the answer to this question you would have to multiply these numbers.
The normal price appears to be 65.95 for 180.5 feet. 
First we could divide 430.25 by 180.5
This divides out to become 2.39027778.
We would then multiply This by our normal price for 180.5 feet, which is 65.95.
This gives us 157.63882.
We would next need to take the 10 percent off. The easiest way to do this is to multiply our price by .90
This would give us 141.484938.

3 0
3 years ago
This is also a rational and irrational worksheet so which one would it be?
Elden [556K]
If you calculated it you would get 20.25 so it is irrational
5 0
3 years ago
What is the completely factored form of d4 -8d2 + 16
irinina [24]
According to Vieta's Formulas, if x_1,x_2 are solutions of a given quadratic equation:

ax^2+bx+c=0

Then:

a(x-x_1)(x-x_2) is the completely factored form of ax^2+bx+c.

If choose x=d^2, then:

\displaystyle x^2-8x+16=0\\\\x_{1,2}= \frac{8\pm  \sqrt{64-64} }{2}=4

So, according to Vieta's formula, we can get:

x^2-8x+16=(x-4)(x-4)= (x-4)^2

But x=d^2:

d^4-8d^2+16=(d^2-4)^2=[(d+2)(d-2)]^2=(d+2)^2(d-2)^2
8 0
3 years ago
A clothes inspector examines 75 randomly chosen garments a day. If 10 of them have a defect, about how many garments are defecti
Nookie1986 [14]
950 garments would be defective
8 0
3 years ago
Other questions:
  • Farrah bought a new car in 2016 one year later the car had depreciated in value by 2300 and was worth $20,140 find the value of
    14·1 answer
  • polygon P'Q'R'S'T' shown on the grid below is an image of polygon PQRST after dilation with a scale factor of 3, keeping the ori
    12·1 answer
  • Please help!! 20 points! #18 a,b,c
    15·2 answers
  • What is the area of the figure?
    14·2 answers
  • A soccer league has 170 players. Of those players 40% are boys. How many boys are in the soccer league?
    11·2 answers
  • (-4+6i) + (-6-2i)<br> How do I solve
    11·2 answers
  • All the following are Perfect Squares except for which one?<br> 198<br> 121<br> 81<br> 64
    6·1 answer
  • Move numbers to the lines to complete the sentence about the image A’B’C’D .
    10·1 answer
  • Anna bought a potted plant online. It cost $3.4 5plus 20% shipping and handling.What was the total cost
    12·1 answer
  • 54,872 in expanded form
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!