If 141 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $2.5 and total receipts for the concert was $421.5, how many of each went to the concert?

Answers

Answer 1

Answer: There are 69 adults and 72 children went to the concert.

Step-by-step explanation:

Let x be the number of adults, and y be the number of children.

x + y = 141

3.5x + 2.5y = 421.5

x + y =141

x = 141 - y

3.5(141 - y) + 2.5y = 421.5

493.5 - 3.5y + 2.5y = 421.5

493.5 - y = 421.5

-y = -72

y = 72

x + y = 141

x + 72 = 141

x = 69


Related Questions

Which expression has a value located to the right of 1 on the number line?
a) -1 - 7
b ) 1 - 7
c) - 7 - 1
d) 7 + 1

Answers

The correct answer is D because a, b, and c all equal a negative which goes on the left side of 1 but d is the only one that equals a positive number which goes on the right side of 1. Hope this helps !!!!

If the matrix of coefficients of a homogeneous system of n linear equations in n unknowns does not have an inverse, then the system has infinitely many solutions. (a) Always true (b) Sometimes true (c) Never true, i.e., false (d) None of the above

Answers

Answer:

(a) Always true

Step-by-step explanation:

In the case when there is a matrix of coefficient for a homogeneous system for n linear equations so it does not have an opposite and then the system would be have the infinite various solutions

So this is always true as in this it can be unique test or infinite.

So according to the given situation, the option a is correct

What is the radius of a hemisphere with a volume of 81449 ft, to the nearest tenth
of a foot?

Answers

Answer:

44

Step-by-step explanation:

ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]
DK
X 148°
AR
>C
>C
B
Angles are not drawn to scale.
Enter

Answers

Answer:

Solution given:

x+148=180°[linear pair]

x=180°-148=32°

x=32° is your answer

Step-by-step explanation:

solution :

Given,

X+48 °= 180° [ being linear pair ]

X=180°-48°

X=32°

so,

X=32° answer.

hope it is helpful to you ☺️

Nigel has 1 cups of butter in his refrigerator. He wants to make cookies and cupcakes. The equation y = 0.5x represents the amount of
butter, in cups, y needed per dozen cookies, X. The table below shows the number of cups of butter needed based on the number of
cupcakes made

Answers

Wheres the table?? You said “the table below” and what are you asking for? I can always answer in the comments section

Answer:

37

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y= -16x2 + 1812 + 59

Answers

Answer:

The rocket will hit the ground after 113.28 seconds.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

The height of a rocket, after t seconds, is given by:

[tex]h(x) = -16x^2 + 1812x + 59[/tex]

Using this equation, find the time that the rocket will hit the ground.

This is x for which [tex]h(x) = 0[/tex]. So

[tex]-16x^2 + 1812x + 59 = 0[/tex]

Then [tex]a = -16, b = 1812, c = 59[/tex]

[tex]\Delta = (1812)^2 - 4(-16)(59) = 3287120[/tex]

[tex]x_{1} = \frac{-1812 + \sqrt{3287120}}{2*(-16)} = -0.03[/tex]

[tex]x_{2} = \frac{-1812 - \sqrt{3287120}}{2*(-16)} = 113.28[/tex]

The rocket will hit the ground after 113.28 seconds.

Need answer asap, brainliest for correct answer

Answers

Answer:

last one

Step-by-step explanation:

what is a grid with 4 quadrants and 2 axes?

Answers

Answer: The point at which the two axes intersect is called the origin. ... The intersecting x- and y-axes divide the coordinate plane into four sections. These four sections are called quadrants. Quadrants are named using the Roman numerals I, II, III, and IV beginning with the top right quadrant and moving counter clockwise.

Step-by-step explanation:

A grid with 4 quadrants and 2 axes is called as cartesian plane.

What is a cartesian plane?

The cartesian plane is defined as a two-dimensional coordinate plane, which is formed by the intersection of the x-axis and y-axis.

What is a grid?

A grid is a framework of spaced bars that are parallel to or cross each other.

Learn more about grid here

https://brainly.com/question/22785606

#SPJ3

A box of 3 picture hangers sells for $2.22. What is the unit rate

Answers

Answer:

0.74 cents each unit piece

Step-by-step explanation:

2.22 ÷ 3 = 0.74

The circular fountain in front of the park has
a diameter of 14 feet. What is the
circumference of the fountain?
A.
43.98 ft

B.
87.96 ft

C-21.99 ft

D-153.94 ft

Answers

15 it was rigth  in khan academy if u got the letter one its A

The circumference of the fountain will be 43.98 square feet. Thus, the correct option is A.

What is the circumference of a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let d be the diameter of the circle. The circumference of the circle will be given as,

C = πd units

The diameter of the circular fountain is 14 feet. Then the circumference is calculated as,

C = π x 14

C = 43.98 square feet

Thus, the correct option is A.

More about the circumference of a circle link is given below.

https://brainly.com/question/27177006

#SPJ2

Find the measure of <4.
{
44
158°
{
44 = [?]

Answers

Answer:

<4 = 22

Step-by-step explanation:

<4 = x

x + 158 = 180

x = 22

Same side interior angles are supplementary

<4+158=180<4=180-158<4=22°

dsfdewasedq24q2rwe3rq24rqweretretrrawsweqaeqw2e3q2wqewwasedq24q2rwe3rq24rqweretretrrawsweqaeqw2e3q2wqew

Answers

Answer:

???

Step-by-step explanation:

Find the slope and y - i intercept of the line y = 4/3 * x - 3 .

Answers

Answer:

(2,-4)

hope this helps

Step-by-step explanation:

Answer:

slope: 4/3

y-intercept: -3

Step-by-step explanation:

the number before x is the slope.

the number at the end of the equation is the y-intercept.

Jillian picked coins from her piggy bank and recorded the number of coins in the table below.

Based on the results shown in the table, what is the probability that the coin Jillian picks will be a quarter

Answers

Answer:

1/8

Step-by-step explanation:

There are 24 coins total. 3 of them are quarters. So Jillian has a 3 in 24 chance of picking up a quarter. Simplifying 3/24 we get 1/8

The probability of randomly picking a quarter is P = 0.125

How to get the probability?

If we assume that all the coins have the same probability of being randomly picked, the probability of picking a particular type of coin is equal to the quotient between the number of coins of that type that we have, and the total number of coins.

In this case, we have 3 quarters, and a total of:

T = (6 + 7 + 8 + 3) = 24

Then the probability of randomly picking a quarter is:

P = 3/24 = 0.125

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

PLS HELP IVE BEEN ASKING FOR 3 1/2 DAYS IM ABOUT TO FAIL 7th GRADE ITS OVERDUE WILL GIVE BRAINLIEST IF YOU ANSWER THIS TYSM

Answers

Answer:18 days

Step-by-step explanation:

Answer:

18 days to consume the apple

Step-by-step explanation: 18 because it takes 3 days for a half so six days equals 1 whole apple multiply that by 3 an you'll get 18

HELP PLS WHOEVER ANSWERS ILL GIVE BRAINLIEST

Answers

rate of change =30
slope intercept form: y=30x+b

Answer:

A: 30

B: y=30x+14

Step-by-step explanation:

A

The rate of change, or slope, can be found from any two points (x1,y1) and (x2,y2), using the formula (y2-y1)/(x2-x1).

Let's use the points (0,14) and (2.2,80):

slope = (y2-y1)/(x2-x1)

= (80-14)/(2.2-0)

= 66/2.2

= 30

B

The slope-intercept form of a linear equation is y=mx+c, where x and y are any co-ordinates on the line, m is the slope and c is the y-intercept. Since we already know our slope (30), we can just plug this and some point on the line (eg (0,14)) into the equation to find c:

y=mx+c

14=(30)(0)+c

14=0+c

c=14

Therefore our equation is y=30x+14

A rectangle that has a side length of 9 centimeters and 6 centimeters. What is the area of the rectangle?

Answers

Rectangle = L * W
One side = length, other = width

9 cm * 6 cm = 54 cm^2
The area of 54 cm^2

Which of the following is NOT a unit of volume?
A. square meter
B. cubic meter
C. pint
D. milliliter

Answers

Answer:

C. pint

Step-by-step explanation:

I think it’s pint though I am not sure:))

(Quick plz!!)
The Venn diagram represents different categories of real numbers. Which category on the Venn diagram is represented by this set?
[-8,1, 23. 11. 49)
A)
Irrational Numbers
B)
Integers
C
Natural Numbers
D
Rational Numbers

Answers

Answer:

the answer is d

Step-by-step explanation:

I just took the test

PLEASE HELP A BROTHER OUT
Charlie's business makes $1,051.75 on average each day. What should Charlie expect the business
to make in three weeks?

Answers

Answer:

$22,086.75 if he works 7 days a week! BUT in case of the scenerio where he works 5 days a week: $15776.25.

Step-by-step explanation:

Ok bro.

Depending on what kind of buisness he has here are the answers:

If he works 7 days a week, that means he works 21 days. 21 * $1,051.75 =

$22,086.75

If he works 5 days a week, that means he works 15 days. 15 * $1,051.75 =

$15776.25

Select the function that's represented in the graph

Answers

Answer: y = x^2 - 3

y-intercept = -3

f(x) = x²+1
What is f(f(x))?

Answers

Answer:

f(f(x)) = x⁴ + 2x² + 2

Step-by-step explanation:

if f(x) = x² + 1, then f(f(x)) is equal to:

f(x)² + 1

= (x² + 1)² + 1

= x⁴ + 2x² + 1 + 1

= x⁴ + 2x² + 2

Mrs. Shaw writes this equation on the board. She asks the students to find
the solution.
-40 -2(3m + 1/2)= 7m -2
Keith’s work is shown below. What mistake did Keith make?
-40 - 6m + 1 = 7m - 2
-39 - 6m = 7m -2
-39 = 13m - 2
-37 = 13m
-2 11/13 = m

Answers

When he did distributive property, he forgot to carry out the negative
Suppose to be:
-40 - 6m - 1 = 7m - 2

find the total service area of this cone. leave your answer in terms of pi.
r=10in h=24in

Answers

Answer:

36pie inch²

Step-by-step explanation:

Answer attached

Hope it helps :)

My sis got stuck on these can you tell me the answer.

Answers

Answer:

you are supposed to guess how many inches the objects are after. that you need you to ACTUALLY measure them and round to the nearest inch. half of an inch and a forth of an inch

Step-by-step explanation:

here is an example so if it measures 2.25 inches it would be

nearest inch:2 inches

nearest 1/2 inch: 2 inches

nearest 1/4 inch: 2. 25 inches

the volume of a sphere is increasing at a rate of 7 cm^3/s. Find teh rate of change when volume is 4pi/3

Answers

The question is incomplete. The complete question is :

The volume of a sphere is increasing at a rate of 7 cm^3/sec. Find the rate of change of its surface area when its volume is 4 pi / 3 cm^3. (Do not round your answer.)

Solution :

Volume of the sphere, [tex]$V=\frac{4}{3} \pi r^3$[/tex]

Given that [tex]$\frac{dV}{dt}= 7 \ cm^3/s $[/tex]

V = [tex]$\frac{4 \pi}{3} = \frac{4 \pi r^3}{3}$[/tex]

∴ r = 1

[tex]$\frac{dV}{dt} =\frac{4}{3} \pi .3.r^2 \ \frac{dr}{dt}$[/tex]

[tex]$7 = \frac{4}{3} ( \pi )(3) (1)^2 \frac{dr}{dt}$[/tex]

[tex]$\frac{dr}{dt}=\frac{7}{4 \pi}$[/tex]   cm/s

Surface area, [tex]$A = 4 \pi r^2$[/tex]

    [tex]$\frac{dA}{dt} = 8 \pi r \ \frac{dr}{dt}$[/tex]

[tex]$\frac{dA}{dt} = 8 \pi \times \frac{7}{4 \pi} \times 1$[/tex]

    [tex]$=14 \ cm^2/s $[/tex]

What is the solution of 4x + 10 = 30?
X =

If 2 people answer then I’ll mark one of them brain list(that give me the correct answer)

Answers

HEY
so first you have to add the like terms so move 10 to the other side and if move numbers over the equal sign it changes

So it will become
4x= 30 - 10
Then subtract

It’s 4x=20

Then u have to remove the 4 so u divide both sides by 4

4x/4 = 20/4

4/4 is 1 but u don’t put the 1 if there is a X so it’s just x

X=20/4

Now u divide the 20 with 4
It’s 5

So
X=5

Hope it helps!

Hey! I am stuck on this question anyone mind helping me? and tysm for the people who helped me! <3 have a nice day!

Answers

Answer: 166 2/3m

Step-by-step explanation:

Area of a rectangle = length times width

Length: 16 2/3

To find the width, multiply it by 3/5.

w = 16 2/3 ·  3/5

w = 10

Then, multiply the length by the width.

a = l · w

a = 16 2/3 · 10

a = 166 2/3m

A group of neighbors is holding an end of summer block party. They buy p packs of hot dogs, with 8 hot dogs in each pack. All together, they have 56 hot dogs for the party. Write an equation to describe this situation. How many packs of hot dogs did the neighbors buy?

Answers

Answer:

8  * X = 56

Step-by-step explanation:

8  * X = 56

3. If your weekly salary is $415.00, how much do you take home each week after deductions are made for federal income tax of $82.13, state tax of $9.74, social security and Medicare tax of $31.75, and retirement plan deduction of $41.50. ​

Answers

Answer:

retirement plan deduction of $41.50. 19.725 divided by 2.5. 6.8 x 78.9. 593.84 divided by 1.3.

Step-by-step explanation:

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