On a certain hot summer's day, 263 people used the public swimming pool. The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $437.50. How many children and how many adults swam at the public pool that day?

Answers

Answer 1

Answer:

The number of children = x = 176

The number of Adults = y = 87

Step-by-step explanation:

Let us represent

The number of children = x

The number of Adults = y

On a certain hot summer's day, 263 people used the public swimming pool.

x + y = 263.... Equation 1

x = 263 - y

The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $437.50.

$1.25 × x + $2.50 × y = $437.50

1.25x + 2.50y = 437.50.....Equation 2

We substitute 263 - y for x in Equation 2

1.25(263 - y) + 2.50y = 437.50

328.75 - 1.25y + 2.50y = 437.50

- 1.25y + 2.50y = 437.50 - 328.75

1.25y = 108.75

y = 108.75 ÷ 1.25

y = 87

Solving for x

x = 263 - y

x = 263 - 87

x = 176

Therefore:

The number of children = x = 176

The number of Adults = y = 87


Related Questions

Write an algebraic equation and solve. Lisa needed to make a fruit salad. She bought 5 oranges for x dollars and 2 packs of strawberries for $5.00 each. She spent a total of $20.25. What is the price of 1 orange?

Answers

Answer:

The cost of 1 orange is $2.05.

Step-by-step explanation:

Lisa needed to make a fruit salad. She bought 5 oranges for x dollars and 2 packs of strawberries for $5.00 each. She spent a total of $20.25.

Cost of 5 oranges = $5x

Cost of 2 packs of strawberries = 2×5 = $10

ATQ,

5x + 10 = 20.25

Subtract 10 both sides

5x + 10 -10 = 20.25-10

5x = 10.25

x = 2.05

So, the cost of 1 orange is $2.05.

Help me please. Id appreciate it greatly

Answers

Answer:

1.39

2.4/5

3. 4/5t+39

4. 4

5.4/3

6.4/3g+4

i hope i got this right.

MARKING BRAINLIEST!!!!

Answers

Answer:

12

Step-by-step explanation

In the graph of an inequality, the region to the right of a dashed vertical line
through the point
(-4,0) is shaded. What inequality does the graph represent?

Answers

Answer:

x is greater than -4

Step-by-step explanation:

Answer:

x > -4

Step-by-step explanation:

Find the slope of the line that passes through (9,4) and (4,11)

Answers

-7/5

hope this helps

There are 32 students on a large bus, and the rest are on a smaller bus. If 30% of the students are on the smaller bus, how many total students are on the two buses?

Answers

Answer:

46 total

Step-by-step explanation:

32 on large bus

30% on small bus

32 =70%

100%=32/70 x(100)=46

Simplify 3/100 + 33/100 Correct to
1 decimal place​

Answers

Answer:

9/25 = 0.36

Step-by-step explanation:

CLICK THAT CROWN AND THANK YOU BUTTON

Answer:

9/25 = 0.36

Step-by-step explanation:

What is the probability that you flip a penny 4 times and it lands on tails all four times in a row?
Group of answer choices

1/8


1/16


1/4


1/2


Answers

Answer: 1/8

Step-by-step explanation:

Since flipping a coin once and it landing on tails is 1/2, multiply it by however many times you flip it, and that will be you're answer.

–5x + 4 – x –1 a. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: -1 b. terms: -5x, 4, -x; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: 4, -1 c. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: 4, -1 d. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: 4, -1; constants: -5, -1

Answers

Given:

The expression is

[tex]-5x+4-x-1[/tex]

To find:

The terms, like terms, coefficients and constants.

Solution:

We have,

[tex]-5x+4-x-1[/tex]

It can be written as

[tex]=(-5x)+4+(-x)+(-1)[/tex]

So, terms are [tex]-5x,4,-x,-1[/tex].

It two terms have same variable of same degree, then they are called like terms.

[tex]-5x,-x[/tex] are likes terms because degree of variable is 1 and 4, -1 are like terms because degree of variable is 0.

In the product of a number and a variable, the number is called coefficient.

Variable terms are [tex]-5x,-x[/tex]. So, coefficients are -5 and -1.

Constant terms are free from variable. So, constant terms are 4 and -1.

Terms: [tex]-5x,4,-x,-1[/tex];

Like terms: [tex]-5x, -x;4, -1[/tex];

Coefficients: -5, -1;

Constants: 4, -1

Therefore, the correct option is c.

x
3
4
5
6

y
9
12
15
8

Answers

Answer: (x34, y912)

Step-by-step explanation: Because (x34, y912) equals (x34, y912) :)

Answer:

x = 2, y = 6

Step-by-step explanation:

I'm assuming you're finding the pattern and then finding x and y, in which case it would be:

In the first one (x, 3, 4, 5, 6) you can see it goes up by 1 each time so x is just 2.

In the second one (y, 9, 12, 15, 18) it goes up by 3 each time so y = 9-3 = 6.

Select all that are equal to 5^3• 5^-7

Answers

What are the answer choices

Answer: its b and c

Step-by-step explanation:

What type of function is y=2^x +8

Answers

Answer:

y = 2ˣ + 8 represents the exponential function.

The graph of the function y = 2ˣ + 8 is also attached below.

Step-by-step explanation:

We know that the general exponential function is of the form

f(x) = aˣ

were a > 0

Given the function

y = 2ˣ + 8

Comparing with y =  aˣ, it is clear that the function y = 2ˣ + 8 represents the exponential function.

where a = 2

We can also determine the y-intercept of y = 2ˣ + 8 by setting x = 0, and determining the corresponding value of y.

i.e.

y = 2ˣ + 8

y = 2⁰ +8        ∵ 2⁰= 1

y = 1+8

y = 9

Thus, (0, 9) represents the y-intercept of the exponential function y = 2ˣ + 8.

Therefore, y = 2ˣ + 8 represents the exponential function.

The graph of the function y = 2ˣ + 8 is also attached below.

Which equation best represents the relationship between x and y in the graph? A) y = - 3 4 x - 3 B) y = - 4 3 x - 3 C) y = - 3 4 x - 4 D) y = - 4 3 x - 4

Answers

Given that the hypotenuse of the isosceles right triangle
=
14
,

the length of each leg
=
14

2
=
7

2
Check :
(
7

2
)
2
+
(
7

2
)
2
=
196
=
14
2
(OK)

I’m not sure if it’s 1 but I know it’s not 3 and if you answer please Give an explanation!

Answers

Answer:

1

Step-by-step explanation:

if you substitute 1 in for x, you would see that 5 = 5

hope this helps!

I have a square with a side of 5.25 in. There is a circle inside this square that is big enough to touch all four sides. What is the area that is not inside the circle?

Answers

Answer:

5.9125in^2

Step-by-step explanation:

Step one:

Given data

Dimension of square= 5.25 in

Area of sqaure= 5.25^2= 27.5625  in^2

We are told that the sides of the circle touch the sides of the square

hence the diameter of the circle is 5.25in

radius= 5.25/2= 2.625 in

Area of  circle= πr^2

Area of circle = 3.142*2.625^2

Area of circle=3.142*6.890625

Area of circle= 21.65 in^2

Step two:

The area that is not inside the circle

=Area of square-Area of circle

=27.5625- 21.65

=5.9125in^2

2x² + 3 × (-x²) + 6x + 2

Answers

Answer:

1x²+5 x 6x

Step-by-step explanation:

If two lines are parallel, and one line has a slope of 3/2, what is the slope of the other line?

Answers

parallel lines have the same slope so it would be 3/2 for the other line as well.

giving points and brainly

Answers

Answer:

A 159.25 to the second power

Step-by-step explanation:

he simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

100 points! Will mark brainliest! Only answer if you know what it is! Any random answers WILL be reported

Answers

Answer:

Answer : False.

Step-by-step explanation:

Hey there!

The equations of line a and line b are:

line a : y= 5x-6...........(i)

line b : x+5y= 5..........(ii)

Firstly find the slope of both equation.

To find slope of first equation;

y= 5x-6

Comparing the equation with y= mx+c. We get;

Slope (m1) = 5.

Now,

To find slope of second equation;

Slope (m2) = (-coefficient of x)/(coefficient of y)

Slope (m2) = (-1/5)

Therefore, the slope of second equation is -1/5.

As per the condition of parallel lines, slope of 1st equation should be equal to 2nd equation.

Now, comparing their slopes;

5≠(-1/5)

Therefore, the answer is "False".

Hope it helps....

Line A

y=5x-6

Compare to slope intercept form

slope=m=5

LineB

x+5y=55y=5-xy=1-1/5x

Slope

k=-1/5

As slopes are negative reciprocal to each other lines are perpendicular to sach other not parallel

Hence it's False

The figure to the right has its congruent segments marked. Find the measure of AB.

AB=__ meters

Answers

Answer:

the measure of AB =29 meters

Answer:

the guy above me is wrong its 13

Step-by-step explanation:

Write the equation for the graph below:
HELP

Answers

help

9/6

what 72 ty76uddjxxjhzh38488

What is the range of the graph?

Answers

Answer:

y ≥ -1

Step-by-step explanation:

range consists of all y-values contained in the solution set

the lowest y-value (as seen by the graph) is negative 1

Plssssssssss help????????

Answers

Step-by-step explanation: Since the equation of this line is written in

slope-intercept or y = mx + b form, its slope or m is represented by the

coefficient of the x term which in this case is 8/5.

It's y-intercept or b is represented by

the constant term which in this is -5.

To graph the line, start with the y-intercept of -5.

So go down 3 units on the y-axis, plot a point at (0, -3).

From there, take your slope of 8/5, so rise 8 units

and run 5 units the right which should leave you at (5, 3).

Graph the line through those points.

A baseball team had 80 players show up for tryouts last year and this year had 96 players show up for tryouts. Find the percent increase in players from last year to this year.

(Please dont just give the answer. I would appreciate it if you would put how to find the answer. Thanks )

Answers

Answer: x/100 = 96 - 80/80

so you multiply 80 times x and multiply 96-80 by 100 so

80x=1600

x= 20%

Step-by-step explanation:

Let P(–2, 5) and Q(–5, 9). The component form of Vector P Q is . The magnitude of Vector P Q is . To the nearest degree, the direction angle of Vector P Q is . If Vector P Q is multiplied by the scalar –10, the new vector will be the original vector.

Answers

Answer:

Let P(–2, 5) and Q(–5, 9).

The component form of Vector P Q is  – 3, 4

The magnitude of Vector P Q is  5

To the nearest degree, the direction angle of Vector P Q is  127º

If Vector P Q is multiplied by the scalar –10, the new vector will be  in the opposite direction but longer than  the original vector.

Answer:

Step-by-step explanation:

Which number has 21 as a multiple? 2 6 7 11

Answers

Answer:

7

Step-by-step explanation:

7x3=21

Answer:

7

Step-by-step explanation:

21÷7=3

Expressed answers As reduced fraction. Find the trig value.
Tan A=

Answers

Answer:

The value of tan A: 40/9

i.e.

tan A = 40/9

Step-by-step explanation:

Given

Hypotenuse = 41

To determine

m ∠ A = ?

Using the trigonometric ratio

tan A = opposite / adjacent

Here:

Opposite of m ∠ A = 40Adjacent of m ∠ A = 9

Thus, substituting opposite = 40 and adjacent = 0 in the equation

tan A = opposite / adjacent

tan A = 40/9

Therefore, the value of tan A: 40/9

i.e.

tan A = 40/9

HELPPPPP PLEASEEEE!!!!

Answers

Answer:

pretty sure x is 60 because 60+25 is 80 and its the same as N so 80

Step-by-step explanation:

hurry up pls!!!!!!! How can shaded regions on a graph model inequalities?​

Answers

When inequalities are graphed on a coordinate plane, the solutions are located in a region of the coordinate plane, which is represented as a shaded area on the plane. The boundary line for the inequality is drawn as a solid line if the points on the line itself do satisfy the inequality, as in the cases of ≤ and ≥

Can you please help? :)​

Answers

Answer:

okay I also have no idea why why r busy and see

Answer:

i'm gonna say the answer is 16cm

Step-by-step explanation:

12/6 = 2

8/16 = 2

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