A group of 7 people spent $33.50 on movie tickets. They paid $6.50 for each adult ticket and $3.50 for each child's ticket. We would like to determine how many of each type of ticket was purchased. A. Specifically define variables for this system B. Write a system of equations that reflects the relationships described in this situation

Answers

Answer 1

Answer:

Number of Adult tickets = 3

Number of student tickets = 4

Step-by-step explanation:

Let the number of Adults tickets = x

The number of students tickets = y

A. Specifically define variables for this system

x + y = 7...... Equation 1

They paid $6.50 for each adult ticket and $3.50 for each child's ticket.

$6.50 × x + $3.50 × y = $33.50

6.50x + 3.50y = 33.50.......Equation 2

B. Write a system of equations that reflects the relationships described in this situation

x + y = 7...... Equation 1

x = 7 - y

6.50x + 3.50y = 33.50.......Equation 2

6.50(7 - y) + 3.50y = 33.50

45.5 - 6.5y + 3.5y = 33.5

45.5 - 33.5 = 6.5y -3.5y

12 = 3y

y = 12/3

y = 4 tickets

x + y = 7...... Equation 1

x + 4 = 7

x = 7- 4

x = 3 tickets


Related Questions

Please help me Evaluate -9 - (-4)

Answers

Answer:

Should be 13. Sorry if I’m incorrect!

Step-by-step explanation:

the answer is -5 because the minus after the 9 and the -4 in the parentheses makes the minuses a adding sign

Estimate the √14.6. Round to the nearest tenth.

Answers

Answer:

3.8

Step-by-step explanation:

Answer:

3.82/ 3.8

Step-by-step explanation:

Round 685,135 to the nearest ten thousand.

Answers

Answer:

690,000 I think

Step-by-step explanation:

Item 11 You buy 2.6 pounds of apples and 1.475 pounds of peaches. You hand the cashier a $20 bill. How much change will you receive? You will receive $ change.

Answers

Answer:

$14.90625

Step-by-step explanation:

Using the conversion rate

$1 = 0.8 pounds

If you buy 2.6 pounds of apples and 1.475 pounds of peaches, the total cost of apple and peaches is expressed as:

= 2.6 pounds + 1.475 pounds

= 4.075 pounds

Convert to dollars

$1 = 0.8 pounds

$x = 4.075 pounds

cross multiply

0.8x = 4.075

x = 4.075/0.8

x = $5.09375

This means that the cost of the apple and peaches is $5.09375.

If you hand the cashier a $20 bill, the change that you will receive will be: $20 - $5.09375 = $14.90625

PLSSS HELP WILL GIVE BRAINLIEST IF CORRECT

Two-thirds of the dairy cattle on a farm are in the barn. One-fourth of the beef cattle are in the barn. There are 24 dairy cattle and 16 beef cattle in the barn. How many more beef cattle are on the farm than dairy cattle?

There are ? more beef cattle on the farm than dairy cattle.

Answers

Answer:

28 more beef cattle.

Step-by-step explanation:

Do 16*4 since 1/4 = 16 beef cattle. 16*4=64 total beef cattle on the farm.

Then do if there are 24 dairy cattle in the barn and that is 2/3 of all the cows.

1/3 = 12 so the total number of dairy cows on the farm is 12*3=36

Now subtract 64-36=28

There are 28 more beef cattle than dairy cows.

Hope this Helps!!

The number of cattle more than the number of beef will be 12.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Two-thirds of the dairy cattle on a farm are in the barn. One-fourth of the beef cattle are in the barn. There are 24 dairy cattle and 16 beef cattle in the barn.

Then the number of cattle is calculated as,

⇒ (2/3) x 24

⇒ 16

Then the number of beef is calculated as,

⇒ (1/4) x 16

⇒ 4

Then the number of cattle more than beef is calculated as,

⇒ 16 - 4

⇒ 12

The number of cattle more than the number of beef will be 12.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Milk that is 5% butterfat is mixed with milk that is 1% butterfat to produce 50 gal of milk that is 2% butterfat. How much of each type is used?

Answers

Answer:

I actually dunno

Step-by-step explanation:

I'm not good at math and physics

Fine the perimeter AND area of the composite shape.

Answers

The perimeter is 36 and the area is 46

PLEASE HELP WITH THESE 4 QUESTIONS, THERE DO IN 5 MINUTES!!! THE QUESTIONS ARE ON THE PIC BUT I WILL ALSO TYPE THEM OVER HERE:

1. $400 Laptop is on sale for 25% off. What is the sales price of the laptop? *
A. $100
B. $300
C. $375

2. A $65 jacket is on sale for 10% off. How much money will you save if you buy it? *
A. $55
B. $10
C. $6.5

3.Melissa has 30 gumballs. 20% of the gumballs are red. How many gumballs are not red? *
A. 6
B. 10
C. 24

4.Ms. Pitts has 50 pieces of candy. She gives Ms. Young 30% of her candy. How many pieces does Ms. Young get? *
A. 30
B. 60
C. 35
D. 15

Answers

Answer:

1. $300

2. $6,5

3. 6 %

4. 15 pieces

Step-by-step explanation:

hope this helps :)

Please help I’ll give brainiest!!

Answers

Answer:

B

Step-by-step explanation:

Simplify
Rewrite the expression in the form 9^n

9•9^2= ___

Answers

Answer:

9^3

Step-by-step explanation:

Since you are given 9^2 already and have to multiply that result by yet another nine, then your problem is 9^3

Hope this helps!

Rewrite the answer as a mixed number fraction (if possible) 13/4 divided by 2 3/5 *

Answers

Answer:

5/4

Step-by-step explanation:

13/4÷2 3/5=13/4*5/13=5/4

hope this helps :)

X - 6 < -4 please help

Answers

Answer:

x<2

Step-by-step explanation:

how can i get more points on here, and by that i mean where do i go to answer questions?

Answers

Answer:

Go to the botom of the page

Step-by-step explanation:

You press answer at the bottom of your screen, then a bunch of questions should pop up. Hope this helps :)

A triangle has sides with lengths of 18 inches, 24 inches, and 30 inches. Is it a right triangle?

Answers

Answer:

Yes

Step-by-step explanation:

18^2+24^2=900

Square root of 900 is 30

This is derived from Pythagorean Theorem

Answer:

It is a right triangle

Step-by-step explanation:

Right Triangle

A right triangle has one of its internal angles of 90°. If such triangles, Pythagora's theorem must stand.

Being a and b the shortest sides of the triangle and c the longest side (hypotenuse), then:

[tex]a^2+b^2=c^2[/tex]

The shortest sides of the given triangle are 18 and 24, and the longest side is 30, thus the following condition must be met to prove it's a right triangle:

[tex]18^2+24^2=30^2[/tex]

[tex]324+576=900[/tex]

[tex]900=900[/tex]

Since the condition is met, we can conclude it is a right triangle

Lisa won 118 pieces of gum at the bean bag toss at the county fair. At school she gave four to every student in her math class. She only has 10 remaining. How many students are in her class?

Answers

Answer:

27 students

Step-by-step explanation:

Answer:

There are 27 students

Step-by-step explanation:

She has 10 left over, so since it's not distributed to the total of the class, so 118 - 10 = 108

Then we divide that by 4 since she gave 4 to each person.

So 108 ÷ 4 = 27

There are 27 students in her class

Need some helppppppppp

Answers

(8,-5)

All you hbe to do is coordinates.

Goes right 5 goes up 8

Now go right 8 and down 5.

My screen is still doing that so im sorry

Plssss help me :( ASAP

Answers

What are we supposed to be doing

Please help me out!! :)​

Answers

Answer: 4 and -9

Step-by-step explanation:

x(x+5)

Can someone help with this?

Answers

Answer:

B

Step-by-step explanation:

Because it has to be less than or no more than $100

Answer:

8=D

Step-by-step explanation:

How do you write 3.82 x 100 in standard form?

Answers

Answer:

382

Step-by-step explanation:

What is the answer to a+2/2 in two step equation?

Answers

Answer:

No its not be smartfjfkdnxnfnfn

I tried so many times but I always get confused ​

Answers

Answer:

yes false

Step-by-step explanation:

supplementary angles add up to 180 degrees, while complementary angles add up to 90 degrees. 74+16 is 90, so the angles are complementary

Answer:

EFH= 20

Step-by-step explanation:

When you write EFH=GFH with the equations and solve for x, x comes out as 5, then you just put (5) in the place of EFH's x. Hope this helps!

A 4-digit number contains at least one even digit. How many such numbers are there? Please help me. I will mark brainliest

Answers

Given:

A 4-digit number contains at least one even digit.

To find:

How many such numbers are there?

Solution:

Digits are 0,1,2,3,4,5,6,7,8,9.

Number of odd digits = 5

Number of even digits = 5

4-digit numbers are from 1000 to 9999.

Total number of 4-digit numbers = 9000

Possible ways to get odd digits on all the 4 places is

[tex]5\times 5\times 5\times 5=625[/tex]

It means 625 numbers are their in which all 4 digits are odd.

To find total 4-digit number that contains at least one even digit, subtract the numbers which contains only odd numbers from the total 4-digit numbers.

[tex]9000-625=8375[/tex]

Therefore, total 4-digit number that contains at least one even digit is 8375.

I NEED HELP FAST!!!!!! Line x and line z are straight lines.

Lines x, z, and y intersect to form 5 angles. From top left, clockwise, the angles are: a: right angle, b, c, d, e.

Which pair of angles are vertical?
Angle a and Angle d
Angle b and Angle d
Angle a and Angle b
Angle c and Angle e
It is not multiple choose

Answers

the answer is angle b and angle d

Answer:

D(Angle c and Angle e)

Step-by-step explanation:

Which pair of angles are vertical?

A (Angle a and Angle d)

B (Angle b and Angle d)

C (Angle a and Angle b)

D (Angle c and Angle e)

i took test on edeg 2021

got it right

What is the solution to
the following equation?
-x - 6(x-5) = 86

Answers

Answer:

Step-by-step explanation:

Simplify the terms first also what is the question asking what x is equal to? or just to simplify the terms~ if u answer this i can help more dm me maybe~!

Answer:

x = -8

Step-by-step explanation:

-x -6(x-5) = 86

Distribute

-x -6x +30 = 86

Combine like terms

-7x + 30 =86

Subtract 30 from both sides

-7x = 56

Divide by -7

x = -8

PLEASE HELP IM CHECKING MY ANSWERS!!!

Answers

Answer:

y=5x

Step-by-step explanation:

yes your correct

A)

Pearl sent a box of 36 apples and oranges to her sister if 5-9 of the shipment were apples how many apples did she send?

Answers

36*5=180 so she sent 180 apples

Write the word sentence as an equation. Then solve.
The difference between a number pand 6 is -14
Equation
Solution p=
25

Answers

Answer:

p - 6 = -14

p = -8

Step-by-step explanation:

       The difference between a number p and 6 is -14

  Let the number  = p;

Equation:

          difference between the numbers:

                         p - 6

          equality;

                         p - 6 = -14

Equation; p - 6 = -14

Solution:

                p - 6 = -14

            add (+6) to both sides of the expression;

                 p - 6 + (+6) = -14 +(+6)

                 p = -8

Solve for b.
5/b = 45/36
b = ?

Answers

Answer:

b=4

Step-by-step explanation:

Format rewrite:

Solve for 'b', when [tex]\frac{5}{b} =\frac{45}{36}\\\\\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c\\\\5\cdot \:36=b\cdot \:45\\180=b\cdot \:45\\\\divide(45)\\\\\\\\\\b=4[/tex]

Hoped this help ya

<3

red

What is 3x+7x=9-18? Math is confusing once you get into 7th grade.

Answers

Answer:

x-(-0.9)

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation::3*x+7*x-(9-18)=0

Solve::10x+9 = 0

Subtract 9 from both sides of the equation::10x = -9

Divide both sides of the equation by 10::x = -9/10 = -0.900

Answer:

x = -0.9

Step-by-step explanation:

3x+7x=9-18

10x = -9

x = -9 / 10

x = -0.9

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