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
FromTheMoon [43]
2 years ago
11

On a certain hot​ summer's day, 645 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for

adults. The receipts for admission totaled $1367.25. How many children and how many adults swam at the public pool that​ day?
Mathematics
1 answer:
VladimirAG [237]2 years ago
4 0

Answer:

327 children and 318 adults

Step-by-step explanation:

The x be the amount of children and y be the amount of adults that were at the swimming pool. We can use this to set up a system of equations:

x+y=645

1.75x+2.50y=1367.25

Move y to the other side in the first equation to isolate x and solve the system using substitution:

x=645-y

  1.75(645-y)+2.50y=1367.25

Distribute

1128.75-1.75y+2.50y=1367.25

         1128.75+0.75y=1367.25

Subtract 1128.75 from both sides

                        0.75y=238.5

Divide both sides by 0.75

                                y=318

x=645-y

x=645-318

x=327

327 children and 318 adults swam at the pool that day

You might be interested in
What are the coordinates of the image of the point (1-, 2) under a dilation of 3 with the origin
Gemiola [76]

Answer:

The image of the point (1, -2) under a dilation of 3 is (3, -6).

Step-by-step explanation:

Correct statement is:

<em>What are the coordinates of the image of the point (1, -2) under a dilation of 3 with the origin.</em>

From Linear Algebra we get that dilation of a point with respect to another point is represented by:

\vec P' = \vec R + r\cdot (\vec P-\vec R) (Eq. 1)

Where:

\vec R - Reference point with respect to origin, dimensionless.

\vec P - Original point with respect to origin, dimensionless.

r - Dilation factor, dimensionless.

If we know that \vec R = (0,0), \vec P = (1, -2) and r = 3, then the coordinates of the image of the original point is:

\vec P' = (0,0) +3\cdot [(1,-2)-(0,0)]

\vec P' = (0,0) + 3\cdot (1,-2)

\vec P' = (3,-6)

The image of the point (1, -2) under a dilation of 3 is (3, -6).

4 0
3 years ago
In a shipment of 600 parts, 30 are found to be defective. How many defective parts should be expected in a shipment of 1000?
kobusy [5.1K]
We can except 30/600 = 0.05>> 5%percent,
so 1000 * 0.05 = 50 parts defective
6 0
3 years ago
A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon
zmey [24]

Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given by:

V = \frac{4\pi r^3}{3}

Applying implicit differentiation, the rate of change is given by:

\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}

In this problem, we have that:

\frac{dV}{dt} = 500, r = 70

Hence the rate of change of the radius is given as follows:

\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}

19600\pi\frac{dr}{dt} = 500

\frac{dr}{dt} = \frac{500}{19600\pi}

\frac{dr}{dt} = 0.0081

The radius is increasing at a rate of 0.0081 cm per minute.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0
2 years ago
A triangular pyramid has a surface area of 336 in made up of equilateral triangles side length 12 in. what is the slant height?
jasenka [17]
Find the slant height.

5 0
3 years ago
Read 2 more answers
Review the graph.
WITCHER [35]

Answer:

A. quadrant l

Step-by-step explanation:

Edge 2020

6 0
2 years ago
Read 2 more answers
Other questions:
  • when Thomas looks at a map of hiking trail with the scale factor of 1cm = 50m, he says that the length of the trail on the map s
    15·1 answer
  • Find he value of x, round t nearest degree (sines and cosines)
    8·2 answers
  • Raphael is traveling in a straight line at a constant speed from point A to point B. His distance from point B in miles is -20t+
    11·1 answer
  • 3 less than 2 times a number is 5 what is the number
    12·2 answers
  • 1.5r - 3r + 8r + 2.5r solve by combining like terms
    9·1 answer
  • In 2010 polls indicated that 75% of Americans favored mandatory testing of students in public schools as a way to rate the schoo
    11·1 answer
  • What is the volume of the cone below?​
    12·2 answers
  • An emergency plumber charges $65 as a call-out fee plus an additional $75 per hour. He arrives at a house at 9:30 am and works t
    11·1 answer
  • Would y=x be proportional or nonproportional?​
    14·2 answers
  • Please help me with this math problem who ever does first gets 100 points
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!