The Montoya family and the Cooper family are seeing a movie together in the theater. At the concession stand, Mr. Montoya paid $20 for 3 large popcorns and 1 large drink that his family will share. Mrs. Cooper bought 3 large popcorns and 3 large drinks and paid $30. How much does each item cost?

Answers

Answer 1

Answer:

Both items cost $5 each

Step-by-step explanation:

Given data

let popcorn be x

and drink be y

Mr. Montoya paid $20 for 3 large popcorns and 1 large drink

so

3x+y= 20-------------1

and

Mrs. Cooper bought 3 large popcorns and 3 large drinks and paid $30

so

3x+3y= 30----------------2

solve 1 and 2 above

3x+y= 20

y= 20-3x

put y= 20-3x in eqn 2

3x+3(20-3x)= 30

3x+60-9x= 30

collect like terms

3x-9x= 30-60

-6x= -30

x= 30/6

x= $5

put x= 5 in y= 20-3x

y= 20-3*5

y= 20-15

y= $5


Related Questions

Sonny has $200. Each game he buys online costs $.99. After buying some games he has $178.22 left. How many games did he buy?

Answers

he bought 22 games. 200-178.22=21.78 and if you divide that 21.78 by .99 you get 22 games

The terminal side of Ø is in quadrant IV and cos Ø + 5/13, what is sin Ø?

A. -5/12
B. -12/13
C. 12/13
D. 5/12

Answers

Answer:

It’s -12/13

Step-by-step explanation:

The value of the sin Ø is -12/13 because sin is negative in IV option (B) is correct.

What is the trigonometric ratio?

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have:

The terminal side of Ø is in quadrant IV quadrant

cosØ = 5/13

sin²Ø = 1 - cos²Ø

sin²Ø  = 1 - (5/13)²

sinØ = √(144/169)

sinØ = -12/13 (negative in IV)

Thus, the value of the sin Ø is -12/13 because sin is negative in IV option (B) is correct.

Learn more about trigonometry here:

brainly.com/question/26719838

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Simplify,
-11c+2+11c

Answers

Answer:

2

Step-by-step explanation:

+11c and -11c cancel each other out so you only have the 2 left

Answer:

2

+11c and -11c cancel each other out so you only have the 2 left

Step-by-step explanation:

i think it's the answer from other brainly


Stella is making a juice-mix that uses apple juice and pomegranate juice in a 5:8 ratio. Which all of the following
options describe how Stella should buy apple juice and pomegranate juice? Select all that apply.
A For every 8 liters of pomegranate juice Stella buys, she buys 5 liters of apple juice.
B The difference between the amount of pomegranate juice and apple juice Stella buys must be 3 liters.
For every 5 cups of apple juice Stella buys, she buys 8 liters of pomegranate juice.
D Stella must buy exactly 5 bottles of apple juice and 8 bottles of pomegranate juice.
E For every 13 liters of juice Stella buys, 8 of them are pomegranate juice.

Answers

The options that apply are:

For every 8 liters of pomegranate juice stella buys, she buys 5 liters of apple juice.

The difference between the amount of pomegranate juice and apple juice must be 3 liters.

What is ratio?

Ratio shows  the number of times a given quantity exceeds the other when sharing takes place.

Analysis:

ratio 5:8 states that out of x liters of total juice stella needed she would get 8 litters of pomegranate for every 5 liters of apple juice she gets.

Learn more about ratio: brainly.com/question/2328454

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What is a synonym for "average rate of
change"?

Answers

Answer:

Velocity :D

Step-by-step explanation:

Answer:

velocity

Step-by-step explanation:

hope this helps! can i get brainliest?

WILL GIVE BRAINLIEST ​

Answers

Answer:

HARAMBE KNOWS THE ANSWER!!!!!!!!!!!!!!1111Write an essay of at least 250 words that summarizes the main points of the essay by Langston Hughes. Use the information you gathered from your literary analysis to help with your summary. Be sure to create an outline and structure your essay with a thesis statement and supporting details..

Step-by-step explanation:

A salesperson earns commission on the sales that she makes each mouth.The sales person earns a 5% commissions on the first $5,000 she has in sales. The sales person Earns a 7.5% commissions on the amount of her sales that are greater than 5,000.If the sales person had $8,000 in sales, what amount of commission,in dollars did she earn? Can someone please do Step By Step please ​

Answers

She makes 5% on 5000 and 7.5% on the other 3000.

0.05 x 5000= 250
0.075 x 3000= 225

Add 250 and 225

She earns $475 in all.

PLEASE HELP!!!
I don't understand it at all :(

Answers

1.
The x intercept is where the line hits or crosses the x axis (lower line). In this graph, Mark, (the right graph) the x intercept hits the number 10

So it is (0,10)

2.

The answer for this one is (0,10) because (x,y)

Hope this helps!! If you can, please give me brainlist :)

Bart is selling popcorn and candles to buy a new
skateboard. Popcorn sells for $6 per bag and candles
sell $18 each. A total of 888 items were sold and $6960
was raised. How many of each item was sold?

Answers

Answer:

Bart sold 290

Step-by-step explanation:

if i did my math correctly it would be 290, i hope this helps

have a great day!

______________________________

290 Items Were Sold

$18 + $6= $24= $6,960 ÷ $24= 290

_______________________________

Point V lies between points U and W on Line segment U W.
If UW = 9x – 9, what is UW in units?

Answers

Answer:

See Below

Step-by-step explanation:

2x - 4 + 4x + 10 = 9x - 9

6x + 6 = 9x - 9

3x = 15  

x = 5  

UW = 9x-9 = 9*5-9  

UW = 36 units

Answer:

36

Step-by-step explanation:

UW = UV + VW

9x - 9 = 2x - 4 + 4x + 10

9x - 2x - 4x = -4 + 10 + 9

3x = 15

x = 5

UW = 9x - 9 = 9(5) - 9 = 45 - 9 = 36

List some other perfect cubes that you know

Answers

the cubes that are listed would be
1, 8, 27, 64, 125, 216, 343, 512, 729, 1000

In the diagram, m_1 = (4x + 10)° and mZ2 = (x + 20°. The value of x' is:

Answers

Answer:

x=30

(Option 2)

Step-by-step explanation:

Well if the <1+<2=180 then you can put the equation as 4x+10+x+20=180. We can simplify that to be 5x+30=180. Minus 30 from both sides: 5x=150; x=30

please help me please will give brainliest to anyone who is good

show your work ​

Answers

Answer:

B

45 loaves x 5 cups/loaf = 225 cups

225 cups ÷ 4 cups/pound = 56.25 pounds

i need to find the slope from two points i don’t know how to do this!show work please!!

Answers

The slope is -7/4.
To find the slope you can first subtract the two ys. and get -7. Because the y is negative it means the slope will be negative. You can then subtract the xs and get -4. You can make a fraction from these two numbers, always putting the y on top, and the x on the bottom.

please help what is 3x + 2 = 11

Answers

3x = 11 -2

3x = 9

x = 3

just make X the subject of the formula and you will get to ur final answer. Easy.

Answer:

x=3

Step-by-step explanation:

3x+2=11 minus 2 on both sides

3x=9

divide both sides by 3

x=3

In a game, scores are written as positive or negative numbers. Tamika's score is -8, Jim's
score is 8, and Brook's score is 5. Which statement is true?
Jim and Tamika both have the same score.
Brook has the lowest score.
Jim's score is lower than Brook's score.
Brook's score is higher than Tamika's score,

Answers

The last one is what I believe
Brook’s score is higher than Tamika’s score

solve the system of equations. y= x + 17, y= 3x+1

Answers

Answer:

x=8, y=25. As a point it's (8,25)

Step-by-step explanation:

here is the system:

y=x+17

y=3x+1

notice how both of the equations equal y. Therefore, we can substitute one expression as y in the other expression. (It'll equal y=y, which is a true statement)

so it'll be:

3x+1=x+17

subtract 1 from both sides

3x=x+16

subtract x from both sides

2x=16

divide by 2

x=8

now, substitute 8 as x into one of the equations and solve for y

let's take the first one for example

y=8+17

y=25

so the answer is x=8, y=25. As a point it's (8,25)

Hope this helps!

Molly earns a rebate each month on her movie tickets and books. She earns $0.25 for each movie ticket and $2 for each book. Last month Molly purchased 4 movie tickets
and earned $17.
Part A: Create an equation that will determine the number of books she purchased. (3 points)
Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points)
Part C: How many books did Molly purchase last month? (1 point)

Answers

Answer:

Step-by-step explanation:

A

lets say   t is each ticket

and b is each book

0.25t + 2b = 17 that is for both

for just books

2b = 17

a hotel at your vacation destination quotes you a rate of $200/night. you find a similar hotel in town for 25 percent less. if you select the less expensive hotel, how much will you pay for a three-night stay?

Answers

Answer: $450

Step-by-step explanation:

Since the similar hotel in town goes for 25 percent less, that means that (100.- 25) = 75% would be paid. This will be:

= 75% × $200.

= 75/100 × $200.

= $150

The amount paid for a three-night stay will be:

= $150 × 3

= $450

A third line intersects two lines (A transversal). Which condition would always make the two lines parallel?

A) Vertical angles are congruent.
B) Alternate interior angles are congruent.
C) Corresponding angles are supplementary.
D) Same-side interior angles are complementary.

Answers

It is c corresponding

the bill is 87.00 you leave a 12% tip what is the amount of the tip?

Answers

Answer:

$10.44

Step-by-step explanation:

..I think it’s 10.44

A car travels 9km southwards, followed by another 5km southwards. What is the magnitude of its distance and displacement?*

Select one:
a. Distance: 14 km Displacement: 14 km
b. Distance: 14 km Displacement: 4 km
c. Distance: 4 km Displacement: 14 km
d. Distance: 4 km Displacement: 4 km

Answers

I think answer should be d. Please give me brainlest let me know if it’s correct or not okay thanks bye

Select the TWO numbers that have a 4 in the thousandths place. *

Answers

Answer:

54,436.004 and 247,892.984

Step-by-step explanation:

Answer:

third and fourth

Step-by-step explanation:

Jakob's work is shown below. Steps Jakob's Work Step 1 3 t = 18 dollars and 75 cents Step 2 StartFraction 3 t Over 3 EndFraction = StartFraction 18 dollars and 75 cents Over 3 EndFraction Step 3 t = 6 dollars and 25 cents In which step, if any, did Jakob first make a mistake in his work? step 1 step 2 step 3 no mistake

Answers

Answer:

Jakob did not make any mistake

Option d is correct

Step-by-step explanation:

Jakob's work is shown below. Steps Jakob's Work

Step 1

3t = $18.75

Step 2

3t/3 = $18.75/3

Step 3

t = $6.25

Looking at the above calculation, Jakob did not make any mistake. Option d is correct

Answer:

The Answer is option D

Step-by-step explanation:

• On Monday the school bus traveled the Green Route 8 times and the Blue Route 9 times, traveling a total of 95 miles. • On Tuesday the school bus traveled the Green Route 12 times and the Blue Route 6 times, traveling a total of 102 miles

Answers

Answer: Green route = 5.8 miles

Blue route = 5.4 miles.

Step-by-step explanation:

Let the miles travelled for Green route be x

Let the miles travelled for Blue route be y

We can form an equation from the question given which will be:

8x + 9y = 95 ........ i

12x + 6y = 102 ......... ii

Multiply equation i by 12

Multiply equation ii by 8

96x + 108y = 1140 ....... iii

96x + 48y = 816 ....... iv

Subtract iv from iii

60y = 324

y = 324/60 = 5.4

Blue route is 5.4 miles.

Since 8x + 9y = 95

= 8x + 9(5.4) = 95

8x + 48.6 = 95

8x = 95 - 48.6

8x = 46.4

x = 46.4/8 = 5.8

Green route = 5.8 miles

HELP FAST

WILL MAKE BRAINLIEST

Answers

Answer:

x = 0.357143

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-1.6 - 2x = 5x + 0.9

Step 2: Solve for x

Add 2x on both sides:                    -1.6 = 7x + 0.9Subtract 0.9 on both sides:           2.5 = 7xDivide 7 on both sides:                  0.357143 = xRewrite:                                           x = 0.357143

i will give brainlyest if you help me with this

Answers

Answer:

no ,Alex

Step-by-step explanation:

yes E has more but 9 out of 25 so she was supposed do even more than Alex she missed 16,alex got 8 out of 20 so he only  missed 12 of his shots and has fewer chances to make more.

No you have to also consider the number of attempts, not just the number of shots made. 9 out 1000 isn’t better than 9 out 10.

9/25 = 36%
8/20 = 40% alex is better.

Pythagorean theory x2 +7=23

Answers

Answer:

x=8

Step-by-step explanation:

2x+7 = 23

2x=16

x=8

I think it would be X=8

I will mark Brainliest!!! DO WELL FOR BRAINLIEST PLEASE!
What is the definition of Standard Form.

No copying and pasting from Go,ogle either. I will be checking so I will know!

-Northstar

Answers

Answer:

Isnt it where you write it in the easiest way to understand it? sorry if its wrong :/

Step-by-step explanation:

If you mean standard from in math  it is basically writing down a smaller number instead of a larger one. For example 10 x 10 x 10, you could just write 10*3.  

What is the product of -25and -0.8? Select all that apply.

Answers

Answer:

The product of -25 and -0.8 is 20

Answer:

There’s no select but I’ll give you the answer

The answer is 20

Step-by-step explanation:

Wehn multiplying by 2 negatives it’ll be positive

negative*negative=positive

positive*positive=positive

negative*positive=negative

So then jsut multiply normally

Move the decimal place when done

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