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

HELP I NEED HELP ASAP

Answers

9514 1404 393

Answer:

  A. exponential; constant % rate of change

Step-by-step explanation:

Each round has 50% of the players of the previous round, so the rate of change is a constant percentage. That makes the function a decaying exponential function, matching choice A.

Write an integer between 1.6 and 3.7

Answers

2 is a whole number between 1.6 and 3.7

Answer:

2 and 3

Step-by-step explanation:

and integer is a positive or negative WHOLE NUMBER it is not a fraction or a decimal.

Please help!! Algebra 2

Find f(2) if f(x)=5x⁵-3x⁴- 17x³-4x²+10x+21 F(2)=

Answers

substitute x for 2
5(2)^5-3(2)^4-17(2)^3-4(2)^2+10(2)+21
do the exponents
5(32)-3(16)-17(8)-4(4)+10(2)+21
simplify
160-48-136-16+20+21
1
f(2)=1

Answer: f(2)=1

Step-by-step explanation:

This is a function-related problem. In order to solve f(2), you need to substitute the value into the original function.

-----------------------------------------------------------------------------------------

f(x)=5x⁵-3x⁴- 17x³-4x²+10x+21

f(2)=5(2)⁵-3(2)⁴- 17(2)³-4(2)²+10(2)+21

f(2)=160-48-136-16+20+21

f(2)=1

Hope this helps!!

Please let me know if you have any questions

Find the Inverse Function f(x)=x-5

Answers

Inverse function is f-1(x)= x + 5

Which student evaluated the power correctly? Aida's Work 5 Superscript 4 = 5 times 5 times 5 times 5 = 625 Hector's Work 5 Superscript 4 = 5 times 4 = 20 Camila's Work 5 Superscript 4 = 5 + 5 + 5 + 5 = 20 Juan's Work 5 Superscript 4 = 5 times 5 times 5 = 125

Answers

Answer: Aida

Step-by-step explanation:

Superscript means to that power so 5 superscript 4 for means 5 to the 4th power

5x5x5x5

5x5=25 25x5= 125. 125x5= 625

Answer:

Its Aida

Step-by-step explanation:

The guy up there deserves brainly more than I do but...

Its correct on Edge 2021

I hope this helps you <3

Gee thank you mister for helping if you did

Answers

Answer: 50.2

Step-by-step explanation:

C = 2πr

= 2 * 3.14 * 8

= 50.24

Answer:

25.1

Step-by-step explanation:

Mariah ordered 50 beads. 8 of the beads were blue. What percent of the beads were blue?

Answers

Answer:

16%

Step-by-step explanation:

Hope this helps :D

PLEASE HELP. I need this as soon as possible!!! I will give brainiest and lots of points.

A number is at most 0 and greater than −10
The least possible integer value of this number is negative 9
The greatest possible integer value of this number is.

Answers

Answer:

Greatest possible integer value is 0

Step-by-step explanation:

idek i did it in my head

Graph this function using intercepts:

4x - 5y = 40 ​

Answers

use photomath for that that's way easier

i think this is how you do it

PLz help it will help me so much :]

Answers

Answer:

No, not enough information

Step-by-step explanation:

The information given can't help you determine the measurement of the angle, it just tells you the position of the angle.

khanya builders are paid R480 for 8 hours of work,whiles rex builders are paid R660 for 12 hours of work.which company is paid the higher rate​

Answers

Answer:

khanya pays higher

Step-by-step explanation:

You have to find the $/hr ratios:

khanya's is 480/8->$60/hr

rex's is 660/12->%55/hr

Khanya pays the higher rate

Who does Plato for money ?

Answers

Answer:

what are you talking about the picture is not there

Step-by-step explanation:

Answer:

i ate plato for money if thats what your asking

Step-by-step explanation:

What is the value of x in the equation 3/4 x + 24 = x − 12 ?

Answers

Answer:

x = 144

Step-by-step explanation:

3/4x + 24 = x - 12

3/4x - x = -12 - 24

3/4x - 4/4x = -36

-1/4x = -36

x = -36/-1/4

x = 144

3w - 11 = 25
can someone answer this plz

Answers

Answer:

w = 12

Step-by-step explanation:

3w = 11 + 25

3w = 36

w = 12

Hope that helps!

if you’re solving for W, the answer would be 12.

you subtract 11 from both sides leaving you with 3w=36, then you would divide by 3 on each side to get the w alone, leaving you with w=12

You are making curtains for your little sister's dollhouse. There are 24 windows on the dollhouse and each
needs 3.75 inches of fabric for curtains. How much fabric will you need?
(please help I only have a couple of minutes)

Answers

is it 90? sorry if it’s wrong

Answer:

90 inches

Step-by-step explanation:

24 x 3.75 which is the same as 24 x 3 3/4 which is the same as

24 x 15/4 = 6 x 15 = 90

Charlotte read 1 3 of a book in the morning, and she read some more at night. By the end of the day, she still had 2 5 of the book left to read. How much of the book did Charlotte read at night?

Answers

Charlotte read 1/15 of the book at night

Slope of -7 and y -intercept of 1

Answers

The graph of y = 1 is a horizontal line at the value y = 1. The slope of a horizontal line is m = 0.

Please help i really need help on a b and c

Answers

The equation is y=5x+25
It will take 72 cars for the class fund to be $385. Work shown is in the picture attached.

Please help me solve this problem.

Answers

What is the question?

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Answers

It will be 9x + 1 = 12x + 20.

The answer you’ll put in the box is 1, because it doesn’t ask you to solve for x, just fill in the number.

Answer:

The blank in the equation is 1.

x = 7 and the vertical angles measure out to 64 degrees.

Step-by-step explanation:

When solving for x, you always want to keep the variables on one side. So you'll subtract 9x from both sides. That gives you 1=3x-20. Then you'll add 20 to both sides. This gives you 21=3x. After you'll divide by 3 on both sides. This gives you 7=x.

Now you'll plug in 7 for x. This gives you 12*7-20=9*7+1. First, you'll multiply which gives you 84-20=63+1. Add and you'll get 64 on both sides.

what is the probability of rolling a 3

Answers

Answer:

1/6

Step-by-step explanation:

Answer:

1/6 if rolled on a dice.

Step-by-step explanation:

There are 6 options on a dice, so 6 is the denominator.

There is only one chance to roll a 3, so 1 is the denominator.

Therefore, the answer would be 1/6.

Review an
1. Without computing, state whether the
sign is positive or negative in each of the
following cases:
32 * (-12)
; 4.75 × (-2.4) < 3;
(-2.15) * (-14.6); (-2) (-3) × (-7);
10.5*(-2)*(-3.5); (-3.7)*(-2.6)*(-0.7)x4​

Answers

Answer:

1. 32 * (-12) = negative

2. 4.75 * (-2.4) < 3 = negative

3. (-2.15) * (-14.6) = positive

4. (-2) (-3) × (-7) = negative

5. 10.5*(-2)*(-3.5) = positive

6. (-3.7)*(-2.6)*(-0.7)x4​ = negative

What is the result when the number 70 is increased by 10%​

Answers

Answer:

77.00

Step-by-step explanation:

7x+4=4x+7
please help lol

Answers

Answer:

3x − 3 = 0

3(x − 1) = 0

x = 3 /3  = 1

ExplanationGiven the equation.

[tex]7x + 4 = 4x + 7[/tex]

Solve for the value of x by making x as the subject of equation.

[tex]7x - 4x = 7 - 4 \\ 3x = 3 \\ x = \frac{3}{3} \longrightarrow \frac{ \cancel{3}}{ \cancel{3}} = 1 \\ x = 1[/tex]

Check the answer by substituting x = 1 in the equation.

[tex]7(1) + 4 = 4(1) + 7 \\ 7 + 4 = 4 + 7 \\ 11 = 11 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]

Hence, the solution is x = 1.

Answer

[tex] \large \boxed{x = 1}[/tex]

First determine the integers the x-coordinate and the y-coordinate are between. Then look at each to decide which integer the x- or y-value is closer to, and approximate the coordinate value to the tenths place.

Answers

Answer:

whats the question here

Step-by-step explanation:

Answer:

The 2nd and 4th one

Step-by-step

please help i have 1 hour to compleate

Answers

Answer:

2nd one is right

I am confused boii

Step-by-step explanation:

LIVE AND LET LIVE music on the outline map of india mark

It’s the 2nd one. Jesus Jenny is tall she’s like slenderman or somethin

Graph the line with a slope of 2/3 that contains the point (−3,−5)

Answers

Answer:

Step-by-step explanation:

So for the given information, it would be easiest to use slope-intercept form, which is y=mx + b, where m is the slope and b is the y-intercept.

We can plug in 2/3 for the slope, because we are given that.

y=2/3x + b.

To find the y-intercept, plug in the given point for x and y and solve for b.

-5 = 2/3 · (-3) + b

-5 = -2 + b

b = -3

So now we have the complete equation of the line.

y = 2/3x -3

Now to graphing.

We can put the y-intercept, (0, -3), and the given point, (-3, -5) on a graph.

Tori has already jarred 1 liter of jam and will jar an additional 1 liter of jam every day. How
many days does Torì need to spend making jam if she wants to jar 10 liters of jam in all?

Answers

Answer:

9 days.

Step-by-step explanation:

We first subtract the amount already done from the total needed.

10 - 1 = 9.

Next, we take the remainder and divide it by the amount being made per day to get our final answer.

9 / 1 = 9.

The answer is 9 days.

Question: The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.

Answers

Answer:The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.

Answer the questions to estimate the probability that the Iceblades will win the game.

1. The paired digits 00 to 99 represent 100 shots.

Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.

Write your answer in the space below.

2. Each group represents the 5 shots taken by the other team. To win the game, the Iceblades cannot let the other team score any goals.

For a group to be a success, how many of the 5 shots does the goalie need to save?

Write your answer in the space below.

3. Group 1 is a success. Explain why.

Write your answer in the space below.

4. In this simulation, which groups are successes? How many successes are there in the 10 groups

Step-by-step explanation:

25 apples to 10 oranges. What is the rate of the fruit

Answers

Answer:

The rate of the fruit is 5 apples to 2 oranges.

Step-by-step explanation:

The rate of the fruit is the ratio of apples to oranges. That is, the number of apples divided by the number of oranges into its simplest fraction form:

[tex]x = \frac{25\,apples}{10\,oranges}[/tex]

[tex]x = \frac{5\,apples}{2\,oranges}[/tex]

The rate of the fruit is 5 apples to 2 oranges.

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