8. Shelley and Jim sold tickets to the basketball game. Good seats were $3 each and not so good seats cost
only $2 each. 150 people attended the game and Shelley and Jim collected $350. Write the system. How
many of each type of seat did they sell?

Answers

Answer 1

Answer:

100 not so good seats

50 good seats

Step-by-step explanation:

Let x represent good seats and y represent not so good seats

[i] 3x + 2y = 350

[ii] x+y = 150

[iii] y = 150 - x

substitute this to equation [i]

3x + 2y = .350

3x + 2 (150-x ) = 350

3x + 300 - 2x = 350

3x-2x = 350 - 300

x = 50 good seats

now substitute what you got to equation [iii]

y = 150 - 50 = 100 not so good seats

when we check the answer by using equation [i] we find that it is correct:

3x + 2y = 350

3(50) + 2(100) = 350

150 + 200 = 350

350 = 350


Related Questions

Please answer multiple choice

Answers

Answer:

A. 54.09

Step-by-step explanation:

cos (angle) = Adjacent/Hypotenuse

cos (75) = 14/x

x= 14/cos (75)

x=54.09

Answer:

its A

Step-by-step explanation:

A Bag contains eight red marbles and eight blue marbles. You randomly pick a marble and then return it to the bag before picking another marble. Both the first and second marbles are red.

Answers

Answer:

1/4

Step-by-step explanation:

A bag contains a total of 16 marbles

Red marbles = 8

Blue marbles = 8

The question says you pick randomly one marble and you return before picking another marble , which means, there is replacement.

Probability of picking the first red marble = 8/16

Probability of picking the second red marble = 8/16

Probability that both the first and second marble is red = 8/16 × 8/16

= 64/256 = 1/4

Therefore, the probability that both the first and second marbles are red = 1/4

What is (2x^2+2x-6) times (x-4)?

Answers

Answer:

2x^3-6x^2-14x+24

Step-by-step explanation:

What is the value of n? 20 points!

Answers

Answer:

5 only

Step-by-step explanation:

its the absolute value

Quadrilateral DEFG has vertices at D(6,1), E(2,4), F(-5,4) and G(-1,1). What is the area of the quadrilateral?

Answers

Answer:

Area of the quadilateral = 35 square units.

Step-by-step explanation:

The coordinates of the quadilateral DEFG are given as

D(6,1), E(2,4), F(-5,4) and G(-1,1).

To obtain the area, we need the length of each of the quadilateral's sides.

The length of each side is the distance between the coordinates given.

The distance between two coordinates (x₁, y₁) and (x₂, y₂) is given as

d = √[(y₁ - y₂)² + (x₁ - x₂)²]

The lengths of the quadilateral's sides include DE, EF, FG and GD

DE = distance between D(6,1) and E(2,4)

DE = √[(1 - 4)² + (6 - 2)²]

DE = √(9 + 16) = 5 units

EF = distance between E(2,4) and F(-5,4)

EF = √[(4 - 4)² + (2 - -5)²]

EF = √(0 + 49) = 7 units

FG = distance between F(-5,4) and G(-1,1).

FG = √[(1 - 4)² + (-1 - -5)²]

FG = √(9 + 16) = 5 units

GD = distance between G(-1,1) and D(6,1)

DE = √[(1 - 1)² + (-1 - 6)²]

DE = √(0 + 49) = 7 units

The dimensions of the quadilateral show that it is a rectangle.

The area of a rectangle = (length) × (width)

Length = 7 units

Width = 5 units

Area of the quadilateral = 7 × 5 = 35 square units.

Hope this Helps!!!

Answer: actually that one might be wrong bc for the area I got 15 and for perimeter I got 16.32

And if you plot it, it makes a trapezoid and that’s not the formula for a trapezoid it’s

A= (base 1 + base 2 divided by 2) * height

P= a+b1+c+b2

Step-by-step explanation:

On Friday,2,364 cars parked in the garage at the mall. On Sunday 2,455 more cars parked In the garage than on Friday. How many cars parked in the garage during the two days?

Answers

Answer:

7183 cars

Step-by-step explanation:

On Friday, 2364 cars parked in the garage.

On Sunday, 2,455 more cars parked In the garage than on Friday.

This means that the number of cars parked on Sunday is 2455 plus the number of cars parked on Friday, that is:

2455 + 2364 = 4819 cars

Therefore, the number of cars parked in the garage in the two days is:

4819 + 2364 = 7183 cars

7183 cars were parked during the two days.

53 students are going on a field trip to the museum of modern art. Each bus holds 40 people. How many buses must be used to transport all the students

Answers

Answer:

2

Step-by-step explanation:

If you take 1 bus then that means leaving 13 peoplee brhind(53-40=13), so you have to take 2 buses.

53 students are going on a field trip to the museum of modern art.

Each bus holds 40 people. we need 2 buses to hold the all students.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

53 students are going on a field trip to the museum of modern art.

Each bus holds 40 people.

Total students left = 53 - 40

                               = 13

one bus can hold a number of students = 40

but we have 13 more students which are less than 40.

So, we need one more bus to hold the leftover.

Learn more about summation;

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Factor the expression
36x + 27 using the GCF.

Answers

Answer:

9(4x+3)     :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

the first step in factorising is to look for any common factors.

27

and

36

are both multiples of

3

and

9

.

We use

9

because it is the highest common factor:

Divide

9

out of each term:

27+36x=9(3+4x)

The reverse process would be to use the distributive law to multiply each term in the bracket by

9

.

This will give us the original expression:

9(3+4x)=27+36x

Find The area of the parallelogram

Answers

Answer:

209 cm^2

Step-by-step explanation:

The area of the parallelogram is

A = bh

A = 19 * 11

A =209

Which is closest to the area of the shaded region in the figure, in
square units? ​

Answers

Answer:

Where is the picture?

Step-by-step explanation:

a. Two local supermarkets sell watermelons grown at McDowell's
farm. But Biggy Market sells their watermelons for $3.99 each,
regardless of size, whereas Harmless Trail Market sells their
watermelons for $0.19 per pound. For what weight will a
watermelon at Harmless Trail cost the same as any watermelon at
Biggy? If the largest watermelon grown at McDowell's farm
weighs 18 pounds, at which place should you buy your
watermelons?​

Answers

Answer:

For the watermelon at Harmless to cost the same as any watermelon at Biggy, the watermelon needs to be 21 pounds.

You should buy your watermelon at Harmless.

Step-by-step explanation:

1. So in order to figure out the number of pounds, you need to divide 3.99 by 0.19 which should give u 21 pounds.

2. So in order to figure out where u should buy the watermelon from, u have to do 18 pounds times $0.19 which should give u $3.42 at Harmless while at Biggy it would cost $3.99

is -3 an expression

Answers

Answer:

yeah it is an expression

Explanation:

An expression may refer to any of the following:

A combination of letters, numbers, or symbols used to represent a value of a variable. ..

A​ company's stock began the day at ​$25.28 per share. That price drops by ​$1.16 each hour. A. What is the price per share after 5 ​hours? B. What will it be after 23 hours if this rate​ continues? C. Explain what the signs of the answers mean in this context.

Answers

Answer: A.) $19.48

B.) -$1.40

C.) The sign in B, the negative, means that if the price of the share were to continue dropping, then it will become negative.

Step-by-step explanation:

A. The price per share after 5 ​hours will be $19.48.

B. It will be $19.48 per share after 23 hours if this rate​ continues.

C. The sign indicates the company is at a loss.

What is the rate of change?

It is defined as the change in values of a dependent variable with respect to the independent variables.

It is given that, A​ company's stock began the day at ​$25.28 per share. That price drops by ​$1.16 each hour.

1 hour =  ​$1.16

5 hour =5 × $1.16

5 hours =$ 5.8 per share

The price drops per share after 5 ​hours are,

=$25.28-$ 5.8

=$19.48

B)

If the price drops by ​$1.16 each hour. The price after 23 hours will be,

1 hour =  ​$1.16

23 hour =23 × $1.16

23 hours =$ 26.68 per share

=$25.28 -$ 26.68

=-$1.40 per share

Thus, the price per share after 5 ​hours will be $19.48, It will be $19.48 per share after 23 hours if this rate​ continues and the sign indicates the company is at a loss.

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Solve the system of equations by the substitution method.
x+y=4
y=-3x

Answers

Answer:

X= -2 Y=6

Step-by-step explanation:

Answer:

x= -2 y=6

Step-by-step explanation:

-2+6=4

6=-3 x -2

Joanne wants to put wallpaper in her daughter's room. Each wall measure 16.8 feet long by 12.9 feet wide. What is the area of one wall in her daughter's bedroom?

Answers

The wall would be 216.72 feet for Joanna’s wall.

The local recycling center sends a truck to the school once a month to collect the paper that was recycled. Each month, the truck picks up 642.3 pounds of paper. How much would the truck pick up after 3 months? __

Answers

Answer: 1,926.9

Explain: If you ever come across a question that asks you how much a number would be after 2, 3, 4, 5, and so on.  All you have to do is multiply that first number with the second.

Example: if the gardener collects 20 carrots a week.  How many carrots did the gardener collect in a span of 5 weeks?

Simply just multiply 20 x 5 = 100.

Which is the most efficient first step to solve for x in the equation 3.7 x minus 18 = negative 4.3 x minus 3

Answers

First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :

3.7x+4.3x-18=-3

Next, take the 18 and switch is so it will be with the 3:

3.7x+4.3x=-3+18

Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:

8x=15

x=15/8

Hope this helps, and sorry if I did the work wrong but the directions are 100% right!

Answer:

c

Step-by-step explanation:

First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :

3.7x+4.3x-18=-3

Next, take the 18 and switch is so it will be with the 3:

3.7x+4.3x=-3+18

Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:

8x=15

x=15/8

Hope this helps, and sorry if I did the work wrong but the directions are 100% right!  :)

Brennan measured a boarding school and made a scale drawing. A building at the school is 21 centimeters long in the drawing. The actual building is 147 meters long. What is the scale of the drawing?

Answers

Answer:

Check the explanation

Step-by-step explanation:

1 centimetre is = 0.01 meter

therefore the scale in Brennan drawing is 1 centimetre  is used to represent 7 metres

Answer:

1 cm:7 meters

Step-by-step explanation:

The scale drawing shows the length in the drawing, then a colon and the actual lenght of the object. The actual building is 147 meters long and the drawing is 21 centimeters long. From this, we have:

21 cm:147 meters

As both numbers can be divided by 21, you can simplify and you would have that the scale of the drawing is:

1 cm:7 meters

these 15 colored pencils make up 20% of jordon's colored pencil collection.how many colored pencils does jordon have in his collections

Answers

Answer:

75 coloured pencils

Step-by-step explanation:

Let's say Jordon has x total pencils.

We know that 20% of these x pencils is 15, so we have:

20% * x = 15

Remember that % is just "out of 100", so 20% = 20/100 = 0.20. Then:

0.20x = 15

x = 15 / 0.20 = 75

Jordon has 75 coloured pencils.

Answer:

75 pencils

Step-by-step explanation:

Let the total no. of pencils be T

20% of T = 15

20/100 × T = 15

T = 15 × 100/20

T = 15 × 5

T = 75

I need help with this

Answers

Answer:

40 feet by 30 feet

Step-by-step explanation:

40 x 30 = 1200

40 is the length of the wall

30 is the height of the wall and is 3/4 of 40

Is 4.01 greater,less,or equal then 4.9

Answers

Answer:

Less

Step-by-step explanation:

Find the product.

2 1/3⋅3 1/2

Write the answer as a mixed number.

Answers

Answer:

Step-by-step explanation:

[tex]2\frac{1}{3}*3\frac{1}{2}=\frac{7}{3}*\frac{7}{2}\\\\=\frac{7*7}{3*2}\\\\=\frac{49}{6}\\\\=8\frac{1}{6}[/tex]

Find the square root of 200 up to two decimals

Answers

Answer:

Erm

Step-by-step explanation:

14.14

Courtney recorded her friends' shoe sizes. 4, 8, 7, 10, 12, 9, 8, 5 What was the interquartile range of the shoe sizes? A. 3.5 B. 6.0 C. 8.0 D. 9.5

Answers

Answer:

Step-by-step explanation:

Hello!

The Interquartile range (IQR) is a measurement of dispersion, it is the "distance" between the third quartile and the first quartile.

IQR = Q₃ - Q₁

Data 4, 5, 7, 8, 8, 9, 10, 12 (ordered from least to greatest)

n= 8

The first quantile separates the bottom 25% from the top 75%

First, you calculate the position of the quartile:

Position Q₁= (n+1)/4= (8+1)/4= 2.25

4, 5, 7, 8, 8, 9, 10, 12

The 1st quartile is between the 2nd and 3rd observation, so the next step is to calculate the average between the two observations to get the value of the quartile:

Q₁= (5+7)/2= 6

The third quantile separates the bottom 75% from the top 25%

First, you calculate the position of the quartile:

Position Q₃= (n+1)*(3/4)= (8+1)*(3/4)= 6.75

4, 5, 7, 8, 8, 9, 10, 12

The 3rd quartile is between the 6th and 7th observation, so the next step is to calculate the average between the two observations to get the value of the quartile:

Q₃= (9+10)/2= 9.5

IQR = Q₃ - Q₁= 9.5-6= 3.5

The correct answer is A.

I hope this helps!

Help!?! I've been trying for the past half hour:/

Answers

Answer:

8 units.

Step-by-step explanation:

To find the y-intercept for the first equation: f(x)=2x²-4x+6, we can simply plug in '0' as 'x' to represent the y-intercept:

f(x)= 2(0)²-4(0)+6 ---> f(x)= 6

Therefore, the y-intercept of the first equation is (0,6).

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

In the table, we can see that when x=0, y=-2. This is our y-intercept for the table.

When we find the difference between the two, we get:

6-(-2)= 8.

50pts

Kadesha says that the triangles represent a translation. On a coordinate plane, triangle A B C has points (1, negative 1), (1, negative 4), (4, negative 4). Triangle A prime B prime C prime has points (1, 5), (1, 1), and (4, 1). Which explains whether Kadesha is correct?
A) Kadesha is correct because triangle ABC is the pre-image and triangle A prime B prime C prime is the image.
B) Kadesha is correct because each point in triangle ABC moves five units up.
C) Kadesha is not correct because the number of units between points A and B is different than those between points A primeand B prime.
D) Kadesha is not correct because a translation is a horizontal movement.

Answers

Answer: Option C is most Appropriate.

C) Kadesha is not correct because the number of units between points A and B is different than those between points A primeand B prime.

Step-by-step explanation:

Coordinates of vertices of ΔABC are =A(1,-1), B(1,-4),C(4,-4)

 Coordinates of vertices of ΔA'B'C' are =A'(1,5), B'(1,1),C(4,1)

Suppose, Preimage =ΔABC

Image =ΔA'B'C'

If you will find distance between two vertices of Both the triangles or length of sides of triangles

Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.

What is a graph?

"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things".

For the given situation,

The triangle ABC has points A(1,-1), B(1,-4), C(4,-4)

The triangle A'B'C' has points A'(1,5), B'(1,1), C'(4,1)

Plot these two triangles in the graph as shown below.

The graph shows the relation between the triangle ABC and A'B'C'.

Both the triangles are separated by different units and are not images of one another.

Hence we can conclude that Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.

Learn more about graphs here

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Please Help! ASAP! WiLL GIVE BRAINLIEST

Answers

Answer:

0.33

Step-by-step explanation:

0.8 of 5 is 0.32768 which rounds to 0.33. Thus, the value of x of 0.33

0.33 that’s the answer

what is the greatest common factor of 32 ab cubed and 40 a squared

Answers

Answer:

GCF 32 and 40

Step-by-step explanation:

GCF of 40 and 32 : 40 mod 32 = 8 , GCF of 32 and 8 : 32 mod 8 = 0

Elia rode her bicycle from her house to the beach at a constant speed of 18 kilometres per hour and then rode from the beach to the park at a constant speed of 15 kilometres per hour. The total duration of the rides was 1 hour and the distances she rode in each direction are equal.
Let b be the number of hours it took Elia to ride from her house to the beach, and p the number of hours it took her to ride from the beach to the park.

Which system of equations represents this situation?

Answers

Answer:

I'm sorry but I don't see any equations

Step-by-step explanation:

Solve the following quadratic equation: (x-16)^2= 256

Answers

Simplifying
(x + -16) * 2 = 256

Reorder the terms:
(-16 + x) * 2 = 256

Reorder the terms for easier multiplication:
2(-16 + x) = 256
(-16 * 2 + x * 2) = 256
(-32 + 2x) = 256

Solving
-32 + 2x = 256

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '32' to each side of the equation.
-32 + 32 + 2x = 256 + 32

Combine like terms: -32 + 32 = 0
0 + 2x = 256 + 32
2x = 256 + 32

Combine like terms: 256 + 32 = 288
2x = 288

Divide each side by '2'.
x = 144

Simplifying
x = 144

Answer:

x = 32 or x = 0

Step-by-step explanation:

(x - 16)² = 256

Expand and simplify the equation.

x² − 32x + 256 = 256

Subtract 256 from either side of the equation.

x² − 32x + 256 − 256 = 256 − 256

Simplify the equation.

x² - 32x = 0

Factor and set the factors to 0.

x = 0 or x = 32

The answer is x = 0 or x = 32.

I have done this test on Plato/Edmentum. I can promise this answer is correct, I've gotten a 5/5.

Good luck ^^

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