At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The number of food tickets sold was 10 less than twice the number of ride tickets sold.

The system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold.

2x + 3y = 1240

x = 2y – 10

How many of each type of ticket were sold?

180 food tickets and 293 ride tickets
180 food tickets and 350 ride tickets
293 food tickets and 180 ride tickets
350 food tickets and 180 ride tickets

Answers

Answer 1

Answer:

180 food tickets and 350 ride tickets

Step-by-step explanation:

Answer 2

The number of food tickets sold is 180 and ride tickets is 350.

In order to determine how many of each type of ticket was sold, the two equations given have to be solved simultaneously using the substitution method.

2x + 3y = 1240 equation 1

x = 2y – 10 equation 2

Substitute for x in equation 1

2(2y -10) + 3y = 1240

4y - 20 + 3y = 1240

Combine similar terms

7y = 1240 + 20

7y = 1260

Divide both sides of the equation by 7

y = 1260 / 7

y = 180

Substitute for y in equation 1

2x + 3(180) = 1240

2x + 540 = 1240

2x = 1240 - 540

2x = 700

x = 700 / 2

x = 350

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552


Related Questions

Solve for b.

8b−1=24b+4


ans = -7

Answers

Answer:

Step-by-step explanation:

yeah your answer was wrong so you clearly need help

8b-1=24b+4

subtract 4 from both sides

8b-5=24b

subtract 8b from both sides

-5=16b

divide by 16

b=-5/16

Answer:

b = -5/16

Step-by-step explanation:

8b - 1 = 24b + 4

8b - 24b = 4 + 1

-16b = 5

16b = -5

b = -5/16

What is the perimeter of PQR? Show your work.​

Answers

Perimeter of triangle x 5/3 to get a answer which should be 75

Crystal has played the piano for 15 years. Jane has played for 3 years. How many
times longer has Crystal played the piano I need equation: and answer

Answers

Answer:

15/3=5

Step-by-step explanation:

Crystal has played the piano for 5 times longer than Jane.

Can you write 8x=1 as a quadratic equation?

Answers

Answer:

  yes

Step-by-step explanation:

The root of the given linear equation can be made to be a repeated root of a quadratic equation:

  (8x -1)² = 0

What is the estimated sum of 503, 472, 486, 499, 539, and 522?

Answers

Answer:

3020

Step-by-step explanation:

round to the nearest  10

503 to 500

472 to 470

486 to 490

499 to 500

539 to 540

522 to 520

The first four terms of an arithmetic sequence are given.

​27,32,37,42,...

What is the 60th term of the sequence?

Answers

322 I believe ( ˘ ³˘)♥︎

What expression is equivalent to 42+18

Answers

I think the answer is 20+40...

find the unit rate for this problem


45 tacos for 15 people ______ to is per person


No link please!!!​

Answers

Answer:

45/15 = 3

Step-by-step explanation:

3 tacos per person

Answer:

3 tacos for 1 person

Step-by-step explanation:

45 tacos / 15 people

Divide the top and bottom by 15

(45/15)   / ( 15/15)= 3/1

3 tacos for 1 person

Mary spent a total of $354.30 for a party. She spent $200.90 on food, plus an additional $30.68 for each hour of the party. How long was the party?

Answers

Answer:

About 5 hours

Step-by-step explanation:

Hope it helps

A car agency shows a new car with a price of AED 45,000. The company predicted that the cost of the
car would depreciate 10% each year for three years and then depreciate 8% each year after that. Find
the value of the vehicle in 8 years.
HELP ME PLSSS

Answers

Answer:

$8640

Step-by-step explanation:

Step 1:

The total amount of the car currently is $45,000. The car depreciates by 10% for the next 3 years. Then multiply 3 to 45,000.

3 × 45,000 = 135,000

The price then decreases by 10%. So, find 10% of 135,000

[tex]10\% = \frac{10}{100}[/tex]

[tex]135000=\frac{135000}{1}[/tex]

[tex]\frac{10}{100}\times \frac{135000}{1}[/tex]

Cross cancel the zeros

[tex]\frac{10}{1}\times \frac{1350}{1}[/tex]

Multiply across

[tex]10\times1350 = 13500[/tex]

Therefore, for the three years, the cars price is now $13,500.

Step 2:

The next step is the same as the first one. But now the car currently is $13,500. And The car depreciates by 8% for the next years. We have to find the value in 8 years. Then multiply 8 to 13,500.

8 × 13,500 = 108,000

Now, find 8% of 108,000

[tex]8\% = \frac{8}{100}[/tex]

[tex]108000=\frac{108000}{1}[/tex]

[tex]\frac{8}{100}\times \frac{108000}{1}[/tex]

Cross cancel the zeros

[tex]\frac{8}{1}\times \frac{1080}{1}[/tex]

Multiply across

[tex]8\times1080 = 8640[/tex]

Therefore, the value of the vehicle in 8 years is $8640.

a. For y = 5+ 80 when x = 4, what does y equal?
b. For a = 3 - 5c when c = -0.5, what does a equal?
c. For n = 2d2 – 5 when d = -2, what does n equal?
n
d. For v = -3(1 – 3) when r = -1, what does v equal?

Answers

a. y = 5x + 80 = 5*4 + 80 = 20 + 80  = 100

b. a = 3-5c = 3 - 5*(-0.5) = 3 - (-2.5) = 3 + 2.5 + 5.5

c. n = 2d² - 5 = 2*(-2)² - 5 = 2* 4 - 5 = 8 - 5 = 3

d. v = -3(1-3r) = -3(1-3(-1)) = -3(1+3) = -3*4=-12

please help me in questions 19, 21, 24 and i’ll mark u as brainliest i promise

Answers

Answer:

  19. m = -3; f(x) = -3x +5

  21. m = 0; f(x) = 9

  24. m = -3/2; f(x) = -3/2x +18 1/2

Step-by-step explanation:

The slope of the function is given by the slope formula ...

   m = (y2 -y1)/(x2 -x1)

The y-intercept (b) can be found from the table when it includes a point (x, y) = (0, b). If the table doesn't have the y-intercept, it can be found from ...

  b = y -mx

When m and b are known, the slope-intercept equation is ...

  f(x) = mx +b

__

19.

  m = (11 -14)/(-2 -(-3)) = -3/1 = -3

The slope is -3. The function is f(x) = -3x +5.

__

21.

  m = (9 -9)/(2 -3) = 0/-1 = 0

The slope is 0. The function is f(x) = 9.

__

24.

  m = (14 -17)/(3 -1) = -3/2

  b = 17 -(-3/2)(1) = 18 1/2

The slope is -3/2. The function is f(x) = -3/2x + 18 1/2.

Solve for Z:

4 > 5Z + 34
help me so hard

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:  

Z  < − 6

Interval Notation:

( − ∞ , − 6 )

Step-by-step explanation:

Answer:

z<-6

Step-by-step explanation:

4-5Z>34

-5z>34-4

-5z>30

z<-6

what would the answer be

Answers

Answer:

60

Step-by-step explanation:

Solve 2x^2 + 5x – 3 = 0

Answers

Answer:

Step-by-step explanation:

Last minute homework due please help.

Answers

Answer:

8. 124 degrees

9. 48 degrees

10. 55 degrees

11. 120 degrees

12. 50.5 degrees

13. 118.7 degrees

A line that includes the points (z,2) and (–8,–5) has an undefined slope. What is the value of z?

Answers

Answer: z = -8

Step-by-step explanation:

A line with an "undefined slope" is one that is vertical to the x axis.  It has a slope that is undefined because there is no change in x for all points on the line.  The slope is the Rise over the Run, and in this case there is no :Run."  That means dividing by zero, so it is undefined.

Since x foes not change, the unknown point (z,2) would be (-8,2).

z = -8

What is 0.375 as a whole percent?

Answers

Answer:

0.375 is 37.5 % of 1

Step-by-step explanation:

Solve for X:

6(4X - 6) + 5 = 8X + 4X - 28 + 12X + 5 - 8

Answers

Answer:

I think it's infinantly many solutions

Step-by-step explanation:

6•4x= 24x.

6•-6=-36. 8x+4x+12x=24x 24x-36+5 -28+5-8=-31

24x-31 24x-31

sorry that's it's set up so wierdly

Answer:

Any value of  X  makes the equation true.

Step-by-step explanation:

b. 6 times the sum of 12 and 8

Answers

Answer:

120

Step-by-step explanation:

12+8 = 20

20*6 = 120


Find the coordinates of the vertices of the triangle after a rotation
270° counterclockwise about the origin.

Answers

Answer:

it is a

Step-by-step explanation:

The coordinates of the triangle ΔC'D'E' will be (2, 1), (5, -3), and (2, -1). Then the correct option is C.

What is a transformation of a shape?

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The triangle ΔCDE is shown below.

The triangle ΔC'D'E' after a rotation 270° counterclockwise about the origin.

The triangle ΔCDE and ΔC'D'E' are shown on the graph.

The coordinates of the triangle ΔC'D'E' will be (2, 1), (5, -3), and (2, -1). Then the correct option is C.

The transformation of the triangle is given below.

More about the transformation of the shape link is given below.

https://brainly.com/question/27224339

#SPJ2

1/3(12-9y) distributive property

Answers

Answer:

4 - 3y

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] (12 - 9y) ← multiply each term in the parenthesis by [tex]\frac{1}{3}[/tex]

= 4 - 3y

The simplification of 1/3(12-9y) using distributive property is 4 - 3y

What is distributive property?

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

For example, 2( x +y ) can be simplified as 2 × x + 2 × y

= 2x + 2y. This is distributive property.

Similarly, ⅓( 12- 9y) can be simplified as

(1/3 × 12) - (1/3 × 9y)

= 4 - 3y

Therefore 1/3(12-9y) is equivalent to 4 - 3y

learn more about distributive property from

https://brainly.com/question/2807928

#SPJ3

You need to collect at least 32 shells to create a necklace. Your friend gave you 14 and you already had 6. How many more shells do you need to make a necklace? *

Answers

you need 12 more shells

Which fraction and decimal forms match the long division problem? 15) 8.000 75, 50 45, 的一 5 O A. 8 and 0.53 15 O B. B. 15 and 0.53 8 O c. 15 and 0.533 8 O D. 8 and 0.53 15​

Answers

Answer:

The correct answer is AAAA

Answer:

A.

[tex] \frac{8}{15} and \: 0.53[/tex]

please help !! find the measure of ∠1 and ∠2. justify your answers

Answers

Answer:

angle 1 = 45° because vertical angles

angle 2 = 135° because supplementary angles

Step-by-step explanation:

∠1 = ∠a, ∠a = 45°

∠2 + ∠a (45°) = 180°

180° - 45° = 135°

Answer:

Angle 1= 45 degrees, angel 2= 135

Step-by-step explanation:

you know that line b has a 45 degree angle on a 180 total, so to find angle 1 you just move the 45 as they are the same, to find angle b you substract 45 from 180 getting 135

!!!!!!!!!!!!!!!!!!!3

Answers

Answer:

C. y - 1 = -4(x - 2)

Step-by-step explanation:

1. To find which line equation doesn't go through through the two points, we plug in the values of x to see if we get the value of the y.

A:

[tex]y=-4(3)+6[/tex] [tex]y = -12 + 6[/tex] [tex]y = -6[/tex] ✓ [tex]y = -4(1)+6[/tex] [tex]y = -4 + 6[/tex] [tex]y = 2[/tex] ✓

B:

[tex]y+6=-4(3-3)[/tex] [tex]y + 6 = -4(0)[/tex] [tex]y + 6 = 0[/tex] [tex]y + 6 - 6 = 0 - 6[/tex] [tex]y = -6[/tex][tex]y + 6 = -4(1-3)[/tex] [tex]y + 6 = -4(-2)[/tex] [tex]y + 6 = 8[/tex] [tex]y = 2[/tex]

C:

[tex]y-1=-4(3-2)[/tex] [tex]y-1=-4(1)[/tex] [tex]y-1=-4[/tex] [tex]y = -3[/tex]  

Therefore, the answer is C. y - 1 = -4(x - 2).

describe fully the single transformation that maps triangle A onto triangle B.

Answers

The transformation is a reflection on the line y = 0 (or the x axis).

Hope this helps!

What is the average rate of change of the function f(x)=4x^2+3x on the interval [1,5]

Answers

Answer:

7, though I don't know if it's 100% correct. I tried to help.

Step-by-step explanation:

f(x) = 4x^2 + 3x interval [1,5]

f(1) = 4(1)^2 + 3(1)

f(1) = 4 + 3

f(1) = 7

Answer:

[tex]\boxed {\boxed {\sf 27}}[/tex]

Step-by-step explanation:

The average rate of change is the change in the output from one input to another. Essentially, it is the change in y over the change in x.

[tex]\frac {\Delta y}{\Delta x} = \frac { f (x_2)- f(x_1) }{x_2-x_1}[/tex]

Let's assign 1 to x₁ and 5 to x₂.

[tex]\frac {f(5)-f(1)}{5-1}[/tex]

We must find the outputs f(5) and f(1). Substitute the value in for each x in the function.

f(x)= 4x² + 3x

f(5) = 4(5)² + 3(5) f(5)= 4(25) + 15 f(5) = 100 + 15 =115

f(1)= 4(1)² + 3(1) f(1)= 4(1) + 3 f(1)= 4+ 3 =7

Now we can find the average rate of change. We know the outputs and we know the inputs.

[tex]\frac {f(5)-f(1)}{5-1}[/tex]

[tex]\frac {115 -7}{5-1}[/tex]

[tex]\frac {108}{4}[/tex]

[tex]27[/tex]

The average of change of the function f(x) = 4x² + 3x on the interval [1,5] is 27.

Match the expressions to their factored forms. Drag the items on the left to the correct location on the right.

Answers

Answer:

(x-6)(x+6) pairs with x^2-36

9x^2-1 pairs with (3x-1)(3x+1)

4(x+2)(x-2) pairs with 4x^2-16

Step-by-step explanation:

Which proportion is not true?
A) BC/CD=FG/GH
B) AC/CD=EG/GH
C) BD/FH =AD/EH
D) AB/AE=EF/BF

Answers

Answer:

c I think that is the answer

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