Spiral Review A chili cook-off has adult tickets a and child tickets C. A group of visitors buys 3 adult tickets and 2 child tickets and pays a total of $26.
Another group buys 5 adult tickets and 3 child tickets and pays $42. Write and solve a system of equations to find the price of each type of ticket.
Enter the correct answers in the boxes.

Equation 1:?

Equation 2:?

adult: $ 6
child: $ 4

I just need help on making equations

Answers

Answer 1

Equation 1 would be: 3a+2C

Equation 2 would be: 5a+3C

Answer 2

The system of equations are solved and the cost of adult ticket and child tickets are $ 6 and $ 4 respectively

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the adult tickets be a

Let the child tickets be c

Group A buys 3 adult tickets and 2 child tickets and pays a total of $26

So , 3a + 2c = 26   be equation (1)

And , Group B buys 5 adult tickets and 3 child tickets and pays $42

So , 5a + 3c = 42   be equation (2)

On simplifying , we get

Multiply equation (1) by 5 and equation (2) by 3 , we get

15a + 10c = 130   be equation (3)

15a + 9c = 126   be equation (4)

Subtracting equation (4) from equation (3) , we get

c = $ 4

Therefore , the cost of child ticket is $ 4

Substituting the value of c in equation (1) , we get

3a + 2 ( 4 ) = 26

3a + 8 = 26

Subtracting 8 on both sides , we get

3a = 18

Divide by 3 on both sides , we get

a = $ 6

Therefore , the cost of adult ticket is $ 6

Hence , the system of equations are solved

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Related Questions

2/5 in Fraction form?

Answers

Answer:

2/5 is fraction form.

0.4 is decimal form btw.

PLS HELP I HAVE TO DO THIS BY TONIGHTT

Alicia planted 45 tulip bulbs last year. This year she plans to plant 27 bulbs. Find the percent decrease in thenumber of tulip bulbs.

Answers

I got you !

Step-by-step explanation:

45 bulbs planted in first year.

65 bulbs the next year.

increase = 20 bulbs

Number of increase of planted tulip bulb is N = 65 - 45 = 20

( 20/45)  x 100% = 44.4 % to the nearest tenths

Mike rides his bike with a constant speed of 16km/h. How long will he take to travel 32 kilometers?

Answers

2 hrand 33min...,....

Write the slope intercept form of the equation of each line

Answers

Answer:

The slope is 1/4 so the slope intercept form is y=1/4+3

Step-by-step explanation:

To find the slope the easiest way from looking at a graph is just to find the rise over run. From looking at the graph we can see that the next point from 0,3 is 4,4. The y here is increased by 1, which means the rise is 1. The x is increased by 4 so the run is 4. From putting rise (1) over run (4) the slope is 1/4. The formula for slope intercept is y=mx+b. m is slope so we substitue that for 1/4 so now we have y=1/4x+b. Then the b is the y intercept, or, at what point the line crosses the y line. Which in this case is 0,3 so the y intercept would be 3 because that is what height it crosses the y line.

Elliot was trying to factor 6z^2-18. He found the greatest common factor of these terms was 6.

Answers

Answer:

6(z^2-3)

Step-by-step explanation:

6z^2-18=6(z^2-3)

You are working on decorating your home for the holidays. You enjoy hanging lights and so far have invested in $75 worth of lights. You notice a sale that you can get strands of lights for $5 a box this week. Write an expression that describes your total investment (money spent) in lights, depending on how many boxes (b) you buy.

Answers

Answer:

Step-by-step explanation:

i=75+5b

The expression that describes the total investment(money spent) in light is 75+ 5(b)

What are word problems?

Word problems require the application of algebraic expression in solving real-life problems. It can be expressed with the use of variables and arithmetic operations.

From the given information:

The amount of money invested on lights = $75If a box (b) cost = $5

The total investment spent in light = 75 + 5b

Learn more about word problems here:

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can u help pretty pls and fast thank you

Answers

Answer: 20% Percent Discount

Step-by-step explanation:

$800.00 - $640.00=$160.00 / $800.00= .2 or 20%

what does x equal in this equation -5x + 8 = -2

Answers

Answer:

x = 2

Step-by-step explanation:

-5x + 8 = -2

-5x + 8 - 8 = -2 -8

-5x = -10

-5x/5 = -10/5

-x = -2

x=2

Simplify the equation:

-5x = 2 + 8

-5x = 10

x = -2

Plz answer im stuck on this question

Answers

Answer:

It b

Step-by-step explanation:

can u rate it brainliest

S There are 76 seats on a train. 19 seats are empty. What % of the seats on the train are empty?​

Answers

Answer: %25

Step-by-step explanation: 19/76 = 0.25

at point (0,2) can be reflected across the x-axis PLEASE HELP 50 POINTS​

Answers

Answer:

(0,-2)

Step-by-step explanation:

what is the slope intercept form for y-5=3(x-3)

Answers

Answer:y=3x-4

Step-by-step explanation:

you add 5 on both sides

simplify

and get y on one side

slope is 3

the y intercept is -4

hool: Practice & Problem Solving
ΘΑττ
2.1.PS-13
Question Help
A contractor bought 8.2 ft? of sheet metal. She has used 2.3 f? so far and has $177 worth of sheet
metal remaining. The equation 8.2x - 2.3x = 177 represents how much sheet metal is remaining and
the cost of the remaining amount. How much does sheet metal cost per square foot?
Sheet metal costs $ per square foot.

Answers

ANSWER=30

because if you 8.2-2.3 you get  5.9 and if you divide by 177 it is 30

hope it helps

A line passes through the point (8, -2) and has a slope of 5/4. Write an Equation in point-slope form for this line

Answers

Answer:

y=5/4x-8

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

General Point Slope Form is:

[tex]y-y_1=m(x-x_1)\\\\\rightarrow \text{m - slope}\\\\\rightarrow (x_1,y_1)\text{ - given point}[/tex]

We are given the slope of (5/4) and the point of (8, -2).

Replace the variables with their appropriate values:

[tex]x_1 \rightarrow8\\\\y_1\rightarrow-2\\\\m\rightarrow\frac{5}{4}\\\\\text{Replace } x_1, y_1, \text{and } m \text{ with the appropriate values.}\\\\y-y_1=m(x-x_1)\rightarrow y-(-2)=\frac{5}{4}(x-8)\\\\\text{Simplify:}\\\\y-(-2)=\frac{5}{4}(x-8)\rightarrow y+2=\frac{5}{4}(x-8)\\\\\\\text{Our final answer is:}\\\\ \huge\boxed{y+2=\frac{5}{4}(x-8)}[/tex]

Hope this helps.

Please help me with this question it is part of a bigger problem but i just need help with this part PLZ will mark BRAINLIEST

Answers

Answer:

Step-by-step explanation:

If X is 3 then it is

3 times 3 times 3 times 3 times 3

I don't know what is x or black sorry (-.-)

Use the distributive property to find the equivalent expression.
4(2 + 3v) = +

Answers

Answer:

8+12v

Step-by-step explanation:

Gary started his Saturday with $5 in his pocket. He then set up a lemonade stand and sold cups of lemonade for $1 per cup.

Is this a proportional or additive relationship?

Question 1 options:

Proportional


Additive

Answers

Answer:

it's 5 how did I know bc I'm big brain;p that's the right answers it's ,5...

Answer:

Additive

Step-by-step explanation:

I took the test

Carlos has 2 dollars more than half of the total amount of money his brother has. If x represents the amount of money Carlos's brother has, which expression can be used to represent this situation?

Answers

Answer:

[tex]y = 2 + \frac{1}{2}x[/tex]

Step-by-step explanation:

Given

Represent Carlos with y and his brother with x.

Analysing the statement one after the other:

Half of his brother's amount is: [tex]\frac{1}{2}x[/tex]

$2 more: means we add 2 to [tex]\frac{1}{2}x[/tex]

So, we have: [tex]2 + \frac{1}{2}x[/tex]

The above represent Carlos's amount.

So, the expression is:

[tex]y = 2 + \frac{1}{2}x[/tex]

How many photos in the shape of a parallelogram will it take to cover the bulletin board if each photo has a base of 6 inches and a height of 4 inches?

Answers

Answer:36

Step-by-step explanation:

I took the assignment

Answer:

It is 36

Step-by-step explanation:

I too has did assignemnt

En la multiplicación anterior p y q representan
dígitos diferentes a 0. ¿Cuál es el valor de q?

Answers

Answer:

Hola

Step-by-step explanation:

Intentemos expresar en términos de b. Dado que Q = P / 2 y P = b - 2,. Combinando términos semejantes, tenemos. Dividiendo ambos lados por b, tenemos, que en este caso, cambia ab = 2. Sabemos que P es dos menos que b (P = b - 2), entonces P = 2-2 = 0.

Si desea verificar, b = 2, P = 0 y Q = 0.

se simplifica a porque cualquier cosa multiplicada por 0 es 0.
(lo siento si esto no ayuda)

What is the slope of this line?

(sorry for the quality.) ​

Answers

Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8,6) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m = [tex]\frac{-2-6}{0+8}[/tex] = [tex]\frac{-8}{8}[/tex] = - 1

Find the measure of angle b

Answers

10-A
11 C
12 D
13 C
You’re welcome

please this is important I really need help

Answers

Answer:

The answer is <DOE

<DOE + <COD = A straight LINE, a.k.a, a LINEar pair

3
11/
Will the solution (-3, -7) make the following system of equations a true statement?
y = 4x + 5
y = x - 4

Answers

Yes
-7=4(-3)+5
-7=-12+5
-7=-7

-7=-3-4
-7=-7

A principal of $2900 is invested at 6.25% interest, compounded annually. How much will the investment be worth after 14 years?

Answers

Answer:

$6774.4

Step-by-step explanation:

Given data

P=$2900

r= 6.25%

t= 14 years

A=???

The compound interest formula is given as

A=P(1+r)^t

substiute

A= 2900(1+0.0625)^14

A= 2900(1.0625)^14

A= 2900*2.336

A= $6774.4

Hence the final amount is $6774.4

I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe

Answers

Answer:

each person would get 2.6 apples hope that helps :)

(6y + 10) - (2y + 3)

Answers

Answer:

4y+7

Step-by-step explanation:

First, remove the unnecessary parenthesis. Add like terms (In this case it’s y) So it will be 6y-2y. Which gives you 4y. And then after that 10-3, which gives you 7. So your final answer is 4y+7!!

What is the value of x?
A. 10
B. 15
C. 30
D. 45

Answers

Answer:

15

15

15

15

15 Liaoning dude

Si un hombre de 1.75m de altura proyecta una sombra de 3.50m que sombra aproximada proyecta un poste de 8.25m

Answers

Answer:

4.25 m

Step-by-step explanation:

Resolvemos esta pregunta usando la fórmula:

Altura del hombre / Sombra de un hombre = Altura del palo / Sombra del palo

Sombra del hombre = 3.50 m

Altura de un hombre = 1.75 m

Sombra del palo = 8.50 m

Altura del palo = x

Por lo tanto:

1.75 / 3.5 = x / 8.5

Cruz multiplicar

1.75 × 8.5 = 3.5 × x

14.875 = 3.5x

x = 14.875 / 3.5

x = 4.25 metros

Por tanto, la altura del palo = 4.25 m

(EASY MULTIPLE CHOICE I BEG YOU)

Answers

1) its number 2. 30x^7y^4
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