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
Dmitrij [34]
3 years ago
13

On a certain hot​ summer's day, 442 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for

adults. The receipts for admission totaled $811.25. How many children and how many adults swam at the public pool that​ day?
Mathematics
1 answer:
vlabodo [156]3 years ago
3 0

Answer:

290 children and 151 adults

Step-by-step explanation:

Given data

let the number of children be x

and the number of adults be y

total number of people= 442

x+y= 442---------1

<em>The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $811.25</em>

1.75x+2y= 811.25--------2

solve 1 and 2

x+y= 442

1.75x+2y= 811.25

from 1, x= 442-y

put this in 2

1.75(442-y)+2y= 811.25

773.5-1.75y+2y=811.25

collect like terms

773.5+0.25y=811.25

0.25y= 811.25-773.5

0.25y= 37.75

y= 37.75/0.25

y= 151

put y= 151 in 1

x+151= 442

x= 442-152

x= 290

Hence there were 290 children and 151 adults

You might be interested in
Auditoriums are often designed so that are fewer seats per row for rows closer to the stage. Suppose you are sitting in row 18 i
zhannawk [14.2K]

Answer:

(a) 22 (b) 109

Step-by-step explanation:

GIVEN: Auditoriums are often designed so that are fewer seats per row for rows closer to the stage. Suppose you are sitting in row 18 in an auditorium and notice that there are 73 seats in your row. It appears the row in front of you has 70 seats and the row behind you has 76 seats. Suppose this pattern continues throughout the auditorium.

TO FIND: a) How many seats are in the first row b) How many seats are in the 30th row?

SOLUTION:

total seats in row_{19}=76

total seats in row_{18} =73

total seats in row_{17}=70

as it clearly form an A.P. with d=76-73=3

(a)

let total seat in first row be a

as total seats in row_{18}=73

row_{18}=a+(n-1)d

73=a+17\times3

a=22

total seats in first row are 22

(b)

total seats in 30th be x

x=row_{1}+(30-1)3

x=22+29\times3

x=109

total seats in 30th row  are 109

4 0
3 years ago
Simplify 15 to the 18th power over 15 to the 3rd power
Tanzania [10]
15^15. Answer is 15 to the 15th power because by laws of exponents when you have a base with power m over same base with power n it is base to the m-n power. Simply you subtract the exponents when dividing with same base.
8 0
3 years ago
10/4-7/9=<br> 3/6-9/10=<br> 10/3-76=
kolbaska11 [484]
1) 1.72
2)-0.4
3) if you mean 10/3-76= -72.7
if you mean 10/3-7/6= 2.2
6 0
3 years ago
Martin rolls a 3 on a die. He rolls again and gets a 4. This situation describes a simple event.
zhannawk [14.2K]
The answer is false. good luck on apex !

5 0
3 years ago
What is the distance between points (6, 2) and (4, 1) to the nearest tenth?
aliya0001 [1]

This is an example on how to do it

The Coordinate Plane

What You’ll Learn

• To find the distance between two points in the coordinate plane

• To find the coordinates of the midpoint of a segment in the coordinate plane

...AndWhy

To find the distance between

Check Skills You’ll Need

Find the square root of each number. Round to the nearest tenth if necessary.

GO for Help

3. 123 11.1

1. 25 5 2. 17 4.1

x2 Algebra Evaluate each expression for m ≠ –3 and n ≠ 7.

4.(m-n)2 100 5.(n-m)2 100 6.m2+n2 58

two points on a map, as in x2 Algebra Evaluate each expressi#on for a ≠ 6 and b ≠ –8. Example2 2 22 a1b

7.(a-b) 196 8. a1b 10 9. 2 –1

Skills Handbook 9 pages 753 and 754

1

1

Finding Distance on the Coordinate Plane

Vocabulary Tip

To help review terms shown here, see “Coordinate plane” in the Glossary.

You can think of a point as a dot, and a line as a series of points. In coordinate geometry you describe a point by an ordered pair (x, y), called the coordinates of the point.

The coordinates of point T

are (5, 2).

The coordinates

of point R are (4, 1).

You can use the Ruler Postulate to find the distance between two points if the points are on a horizontal line or a vertical line. To find the distance between two points that are not on a horizontal or vertical line, you can use the Distance Formula.

Key Concepts

The distance d between two points A(x1, y1) and B(x2, y2) is

d= (x 2x) 1(y 2y). #212212

Lesson 1-8 The Coordinate Plane

Step-by-step explanation:

8 0
4 years ago
Other questions:
  • What is the difference?<br> x2 - 2x-15<br> x2+2x-35
    6·1 answer
  • 2x+y=10------1 using substitution method
    5·1 answer
  • What is the length of each side of a cube whose volume is 8? Question 4 options: 1 2 3 4
    11·1 answer
  • in a box of 360 building blocks, 3 out of every 8 are green. which of the following is the number of green building blocks in th
    12·2 answers
  • The measures of the angles of △RST are given by the expressions in the table. Angle Measure
    13·1 answer
  • PLEASE HELP ME FAST!!!!!
    6·1 answer
  • Plz solve number 23 will give 30 points plz
    9·1 answer
  • 3/5 x 4/5 is greater than 3/5 , since 3/5 is being multiplied by a value greater than 3/5. True or false ?
    12·1 answer
  • EASY!!! What is (8+4)+24 / 2^3
    12·1 answer
  • NEED HELP NOW 10 POINTS
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!