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


Which measure is of an angle that is coterminal with a 95° angle?

Answers

Answer:

95° - (1,080 n) °, for any integer n

Step-by-step explanation:

Co-terminal angle are those angles who share the same initial side and terminal sides,

And, these angles are obtained by adding or subtracting the multiple of 360°,

That is, if Ф is an angle,

Then its co-terminal angles are,

Ф + 360 n

Where, n is any integer (negative or positive)

Here, Ф = 95°,

Since, n is an integer,

⇒ - 3n is an integer,

Thus, the co-terminal angles of 95° are,

95° + 360° (-3n)

= 95° - (1080 n) °; for any integer n.

Step-by-step explanation:

Hope this helps!~

And I hope this is what you where looking for.

Good Luck!~

Answer:

B. 95° – (1,080n)°, for any integer n

Step-by-step explanation:

Correct on EDGE 2021!

percent as a decimal or fraction. 54% of 85

Answers

Answer: 45.9

Step-by-step explanation: its right trust

Answer:

45 9/10 0r 45.9

Step-by-step explanation:

0.54 * 85

45.9

45 9/10

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Answer:

Not possible

Step-by-step explanation:

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Evaluate 35/a when a=7. The value is​

Answers

Answer:

a = 5

Step-by-step explanation:

a = 7

35/a

35/(7)

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Hope this helped

I urgently need help!!!!

Answers

Answer:

A. C (3,5)

Step-by-step explanation:

This makes the most sense because of the position point C is at on the coordinate plane. It is above point D, which has a x-axis of 3. Option A is the only one that has an x-axis of 3.

Hope it helps!

The domain of y = cot x is all real numbers such that _______.

Answers

Answer:

Step-by-step explanation:

x≠ n*π, where n is an integer

because x/π can not be an integer

Is the following relation a function?

Answers

Answer:

no

Step-by-step explanation:

the x value (-1) repeats therefore it ain't a function

No it is not a function

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Answer:

D. 71

Step-by-step explanation:

Plug 7 into f

(7)^2 + 2(7) + 8

then solve

49 + 14 + 8

      71

what's the square root of 25 in **simplest radical form**

Answers

Answer:

5

Step-by-step explanation:

The square Root of 25 in its simplest form means to get the number 25 inside the radical √ as low as possible.

25 is a perfect square, which means that you can simply calculate the square Root of 25 to get the answer. 5 times 5 equals 25. Thus, the square Root of 25 in simplest radical form is:

5

Potatoes are on sale at both grocery mart and Baldwin hill market and grocery mart a 5lbs bag cost 2.85 and Baldwin they a 7lbs bag cost 4.20

Answers

Answer

The first one

Step-by-step explanation:

I think you want to know which store is better so it is

Evaluate the expression when n = 2.3. 5(n − 2) + 9 =

Answers

Answer:n=2.3.5(n-2)+9=n=44.6

1-4.2x + 3y - 9 + 5x + y

how many terms are in this expression

Answers

Answer:

because

Step-by-step explanation:

Answer:
6 terms assuming that 1-4.2x are separate if not it would be 5.

Expanded: This makes this equation a polynomial.

What is the surface area of this design?
5 in.
256 in2
160 in2
8 in.
96 in2
4 in.
288 in2
4 in.
8 in.

Answers

Answer:

Pretty sure its 256 in2

Step-by-step explanation:

did the iready test

By decomposing the design into two rectangular prisms, the surface area of the design is calculated as: A. 256 in.²

What is the Surface Area of a Rectangular Prism?

The surface area of a rectangular prism is expressed as, S = 2(lw + lh + wh).

The design can be decomposed into top rectangular prism and bottom rectangular prism.

The surface area of the design = surface area of the top rectangular prism + surface area of the bottom rectangular prism - 2(area of the top rectangular prism that joins the bottom rectangular prism)

Surface area of the top rectangular prism = 2(lw + lh + wh) = 2(5×4 + 5×4 + 4×4) = 112 in.²

Surface area of the bottom rectangular prism = 2(lw + lh + wh) = 2(8×5 + 8×4 + 5×4) = 184 in.²

Area of the top rectangular prism that joins the bottom rectangular prism = l × w = 5 × 4 = 20 in.²

The surface area of the design = 112 + 184 - 2(20) = 256 in.²

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8.35 < 3x +18.75
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Answers

Step-by-step explanation:

8.35 < 3x + 18.75

3x + 18.75 > 8.35

3x > 8.35 - 18.75

3x > -10.4

x > -3.47

Change 273° Kelvin to Celsius degrees.
P Leeeeeeeeeeee Sssssssssss help me

Answers

Answer: 273 degrees kelvin =  -0.15 degrees celsius

hope this helps brainliest plz

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Explain yo answer for brainliest

Answers

Answer:

A

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

The pythagorean theorem says that a^2 + b^2 = c^2

In this case:

a^2 = x

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c^2 = z

That means x + y = z, which is C

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Answers

I think the correct answer would be B

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Answers

Answer:

-18

Step-by-step explanation:

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Answer:

x = 119, y =  55

Answer:

x = 119°

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Step-by-step explanation:

y + 125 = 180         {linear pair}

       y   = 180 - 125

       y = 55°

Sum of all the angles of quadrilateral = 360

x + 55 + 72 +114 = 360

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B.Point B
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Answers

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Answers

Answer:

(4,1)

Step-by-step explanation:

[tex]Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\[/tex]

               [tex]=(\frac{1+7}{2},\frac{5-3}{2})\\\\=(\frac{8}{2},\frac{2}{2})\\\\=(4,1)[/tex]

the answer for this problem would be 4,1

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Answers

Answer:

Onaje is correct.

Step-by-step explanation:

To start, total up how many shirts we have, and multiply them by t. Since they are the same price, we now have a total for how many shirts they bought. This proves the second and third equations that they wrote. If you take the easy way and just add them, you'll still have 25t, making Onaje's expression correct.

EDIT: Just saw you need why it's incorrect for Paula, just hold on.

So for Paula, it's simple why she is incorrect. If you look at the third equation she wrote, she's adding 25 to 2t, which is completely incorrect, and will come up with a different result than 16t + 9t.

Hope this helps.

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Step-by-step explanation:

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Answers

Answer: 30 + 45 = 15(2 + 3)

Step-by-step explanation:

The greatest common factor for 30 and 45 will be gotten as follows:

Factor of 30 = 2 × 3 × 5

Factor of 45 = 3 × 3 × 5.

GCF = 3× 5 = 15

Therefore, the equation that shows how to rewrite the sum of 30 and 45 using their greatest common factor will be:

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Answer:

use photo math

Step-by-step explanation:

Answer:

Step-by-step explanation:

 

 DIFFERENTIATE W.R.T. X

3x 2  +2x−4

 

EVALUATE

x  3  +x  2  −4x−16

 

 

 

 

 

 

EVALUATE

x  

3

+x  

2

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-68

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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sunday

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