At a local movie theatre, sodas cost$4.50 and bags of popcorn cost &1.50. Kirk buys three times as many bags of popcorn as sodas and pays a total of $36. Write a system of equations and solve it using any method to determine how many of each item Kirk bought.

Answers

Answer 1

Answer:

this might help

Step-by-step explanation:

this might be kinda similar

Chickens and rabbits

In the yard were chickens and rabbits. Together they had 18 heads and 56 legs. How many chickens and how many rabbits were in the yard?

Correct answer:

chickens:  8

rabbits:  10

Step-by-step explanation:

a+b=18

2a+4b=56

a=8

b=10

a+b = 18

2•a+4•b=56

a+b = 18

2a+4b = 56

a = 8

b = 10


Related Questions

- z > 8 equivalent inequality

Answers

Answer: z < -8

Step-by-step explanation:

Since z is negative, divide both sides by -1, which leaves you with z > -8.

Multiplying or dividing an inequality by a negative number flips the sign, thus the answer is z < 8.

Correct me if I am incorrect.

30 POINTS!!!! SOMEONE PLEASE HELP ME!!!

Answers

Answer:

  60 nickels

Step-by-step explanation:

When a ratio between coins is given, I like to consider the problem in terms of groups of coins. Here, each group would consist of 1 nickel and 0.20 quarters. The value of that group is

  5¢ +0.20×25¢ = 10¢

Then the number of groups is ...

  (total value)/(value of 1 group) = number of groups

  600¢/10¢ = 60

Since each group has 1 nickel, there are 60 nickels.

__

Check

60 nickels + 12 quarters = $3.00 +3.00 = $6.00

_____

Additional comment

If you want to see this with equations and variables, you can do this.

Let n and q represent the numbers of nickels and quarters, respectively. The given relations are ...

  0.05n +0.25q = 6.00

  q = 0.20n

Substituting for q in the first equation gives ...

  0.05n +(0.25)(0.20n) = 6.00

Simplifying gives ...

  0.10n = 6.00

  n = 6.00/0.10 = 60

x + 7 when x = -11
What is the answer

Answers

-3!!!!!!!! Is the answer have fun and I hope you get this right

is a half of a teaspoon more than a fourth of a teaspoon ​

Answers

Answer:

Half of a teaspoon is more than a fourth of a teaspoon

Step-by-step explanation:

1/2 is greater than 1/4

yes!
1/2 > 1/4
1/2 can be written as 2/4
2/4 is still more than 1/4, just changed it so both can have same denominators

Help help help help math math

Answers

Answer:

Yes, it is a function

Step-by-step explanation:

Each x value in the domain has its own output, and it does not have more than 1

PLEASE HELP ASAP! harold makes a plan to save $500 per month for the next 5 years. He is depositing it in an interest bearing account at 2% APR (compounded monthly). What will be Harold’s balance at the end of 5 years?​

Answers

Answer:

50

Step-by-step explanation:

find three solutions of 9x - 2y = 18


(i don't know why I can't type this out right the first two times)​

Answers

Look at the paper for solutions.

Answer:

Some solutions of 9x−2y=18 are x=5 =−18 ; x=7 and y=19 ; x=9 and y=0 ; x=11 and y=9 and x=13 and y=18 .

Step-by-step explanation:

9
11 (a) Grapes cost £2 per kilogram.
Calculate the cost of 380g of grapes.

Answers

Answer:

£0.76

Step-by-step explanation:

1kilogram = 1000grams

1000g of grapes costs £2

380g costs = (380 × 2)/ 1000

760/1000 = £0.76

One kilometre is about 0.62 miles. It is 12 kilometres from Noah's house to the
ice skating rink. About how many miles is it from Noah's house to the ice
skating rink?


u'll get extra points if u answer guys!! pls help!!!!!

Answers

Answer:

7.44miles

Step-by-step explanation:

1km = 0.62miles

12km will be ; 0.62 × 12

= 7.44miles

review the proof (not in order) of the identity tan(0/2) = + √1-cos(0)/1+cos(0)
which is the correct sequence of steps

Answers

Answer:

1-3-4-2-5

Step-by-step explanation:

[tex]tan\frac{\theta}{2}[/tex] <== Given

[tex]\frac{sin\frac{\theta}{2}}{cos\frac{\theta}{2}}[/tex] <== Step 1

[tex]\frac{\frac{\sqrt{1-cos\theta}}{2}}{\frac{\sqrt{1+cos\theta}}{2}}[/tex] <== Step 3

[tex]\frac{\sqrt{1-cos\theta}}{\sqrt{1+cos\theta}}[/tex] <== Step 2 (as a result of Step 4)

[tex]\pm\sqrt{\frac{1-cos\theta}{1+cos\theta} }[/tex] <== Step 5


[tex]{ \color{darkred}{(2+√3)+(4-√3)}} = ?[/tex]
︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎​

Answers

[tex](2 + \sqrt{3} ) + (4 - \sqrt{3} ) \\ = 2 + \sqrt{3} + 4 - \sqrt{3} \\ = 2 + 4 \\ = 6[/tex]

Answer:

6

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

[tex] \sf(2 + \sqrt{3} ) + (4 - \sqrt{3}) [/tex]

[tex] \sf2 + \cancel {\sqrt{3} } + 4 - \cancel{\sqrt{3} }[/tex]

[tex] \sf6[/tex]

0.081 to the nearest hundredth

Answers

Answer:

0.08

Step-by-step explanation:

a 1 in the thousandths place is dropped in standard rounding to the nearest hundredth.

Answer:

0.08

Step-by-step explanation:

In 0.081, 0 is the tenth, 8 is the hundredth, and 1 is the thousandth. So as you want to approximate to the nearest hundredth, you have to look at the number behind 8 which is 1. And, 1 is less than 5, so you don't have to round up.

Solve the equation. -10=2y

Answers

Answer:

y=-5

Step-by-step explanation:

-10/2=2y/2

-5=y

y=-5

Answer:

y = - 5

Step-by-step explanation:

You have yo divided the numbers

Cancel terms that are in both the numerator and denominator

Move the variable to the left

Write -37.75 as a mixed number.​

Answers

Answer:

[tex]-37\frac{3}{4}[/tex]

Step-by-step explanation:

0.75 is equivalent to three quarters, or (3/4).

3/4 would be the fraction. -37 would be the whole number.

[tex]-37.75 = \boxed{-37\frac{3}{4}}[/tex]

Hope this helps.

Answer:

- 37 3/4

Step-by-step explanation:

Example 8: Over the track-and-field season, the height Fred cleared in the high jump increase from 1.81 m to 1.96 m. a) Find Fred's percent increase in height. W b) What final height would Fred have to clear for a 20% increase in height over the track-and-field season?​

Answers

Answer:

a. about 8.3%

b. 2.172 m

Step-by-step explanation:

a. 1.81 * x = 1.96

x = 1.083

Percent increase is approximately 8.3%

b. 1.81 * 1.2 = x

x = 2.172 m

The vertices of quadrilateral PQRS are listed.

P(3,7), Q(6,-2), R(0,-4), S(-3,5)
Which of the following is the strongest classification that identifies quadrilateral PQRS
A.
Quadrilateral PQRS is a square.
B.
Quadrilateral PQRS is a trapezoid.
C.
Quadrilateral PQRS is a rectangle.
D.
Quadrilateral PQRS is a parallelogram.

Answers

Answer:

It's C. for plato. It's a rectangle

Step-by-step explanation:

FILE BELOW

Answer:

its a rectangle .

Step-by-step explanation:

Determine the largest integer that makes 2 - 3(x+8) > 12 - x true.

Answers

Answer:

2

Step-by-step explanation:

Because if you add 1  to 8 you get 9 then subtract 9 by 7 then and your answer is

expand and simplify
5(3y+2)+5(5y+2)​

Answers

Answer:

Step-by-step explanation:

15y + 10 + 25y + 10

Answer:

Solution here,

Step-by-step explanation:

For simplify

First multiply the terms inside the brackets with the term outside the bracket i.e 5.

5(3y+2)+5(5y+2)

15y+10+25y+10

35y+20

Aarón rides his bike away from home at a constant speed he stops at the park for a while before riding back home at a constant speed

Answers

Answer:

Step-by-step explanation: This is the answer

which among the following​

Answers

We have:

[tex]1-\frac{1}{3} >0[/tex]    ;   [tex]1- \frac{11}{17}>0[/tex]  ;    [tex]1-\frac{132}{157}>0[/tex]   ⇒ right

[tex]\frac{-1}{7}, \frac{-51}{107},\frac{-347}{949} <0[/tex]  ⇒ wrong

[tex]\frac{7}{5}, \frac{131}{47} ,\frac{945}{711} >1[/tex] ⇒ wrong

ANSWER: [tex]\frac{1}{3} ,\frac{11}{17} ,\frac{132}{157}[/tex]

ok done. Thank to me :>

The sum of three terms in AP is 15. If the first two terms are each decreased by 1 and the last is increased by 1 then the resulting terms are in GP. find the numbers.​

Answers

Answer:

3, 5, ,7 or 9, 5, 1

Step-by-step explanation:

Let the three terms in AP be a - d, a & a + d

where a = First term and d = Common difference.

Condition 1: sum of three terms in AP is 15.

a - d + a + a + d = 15

3a = 15

a = 15/3

a = 5

Condition 2: When first two terms are each decreased by 1 and the last is increased by 1 then new terms so obtained will be as follows:

a - d - 1, a - 1, a + d + 1

These terms are in G.P.

[tex] {(a - 1)}^{2} = (a - d - 1)(a + d + 1) \\ \\ {(5 - 1)}^{2} = (5 - d - 1)(5 + d + 1) \\ \\ {(4)}^{2} = (4 - d)(6 + d) \\ \\ 16 = 24 + 4d - 6d - {d}^{2} \\ \\ 0 = 8 - 2d - {d}^{2} \\ \\ {d}^{2} + 2d - 8 = 0 \\ \\ {d}^{2} + 4d - 2d - 8 = 0 \\ \\ d(d + 4) - 2(d + 4) = 0 \\ \\ (d + 4)(d - 2) = 0 \\ \\ d + 4 = 0 \: \: or \: \: d - 2 = 0 \\ \\ d = - 4 \: \: or \: \: d = 2 \\ \\ when \: d = - 4 \\ \\ a - d = 5 - ( - 4) = 9 \\ a = 5 \\ a + d = 5 - 4 = 1 \\ \\ when \: d = 2 \\ a - d = 5 - 2 = 3 \\ a = 5 \\ a + d = 5 + 2 = 7 \\ \\ thus \: three \: terms \: in \: AP \: are: \\9, \: 5, \: 1 \: \: or \: \: 3, \: 5, \: 7[/tex]

The base of a triangle is 4 ft more than the height. If the area is 30ft2, find the base and the height.

Answers

Answer:

Base = 10 ft. and the height = 6.

Step-by-step explanation:

Area of triangle = 1/2bh

base is 4 + h  ⇔  base = 4 + h

height = h

Using the formula for the area of triangle substitute into the formula the given facts.

A = 1/2bh

30 = 1/2(4 + h) (h)

30 = 1/2(4h + h²)     Multiply both sides by 2

60 = 4h + h²

-60 =           -60      Add -60 to both sides

0 = h²+ 4h -60        

(h + 10)(h - 6) = 0      Factor

h + 10 = 0    h - 6 =0

h = -10         h = 6

reject any negative number and use the positive answer for h.

So h = 6      and the base = 4 + 6 ; base = 10

What is the answer to 1010 + 0101? (Binary) *​

Answers

Answer:

1111 is the answer to your question.

I NEED HELP WITH THESE
I am pretty sure of my answers, so I just need someone to double check. Explanation is not needed because I know how to solve it, just needs to be checked. You can put one it you want.

Answers

Answer:

(b) 500 km (b) 6 seconds

Step-by-step explanation:

1.

The semi-major axis length is √47196900 = 6870 km. That distance from the center of the Earth means the satellite is ...

  6780 -6370 = 500 . . . km

from the surface of the Earth.

The satellite is a maximum of 500 km from the Earth.

(It is a minimum of 250 km from Earth.)

__

2.

The equation has a zero at t=6. When the car's velocity is zero, it is at a complete stop.

The car comes to a complete stop when time is 6 seconds.

(The car is still being accelerated, so it doesn't stay stopped.)

__

I prefer a graphing calculator for a quick solution. You can also solve this equation algebraically.

  0 = 0.5t^2 -10.5t +45 . . . . t when v(t) = 0

  t^2 -21t +90 = 0 . . . . . . . multiply by 2

  (t -6)(t -15) = 0 . . . . . . . . factor

  t = 6 or t = 15 . . . . . . . only t=6 is in the domain of the function

(x - y + z) : (y - z + 2w) : (2x + z - 10) = 2:3:5 Then ( 3x + 3z - 2w) : w = ?pgvzcmckyc?​

Answers

Answer:

19

Step-by-step explanation:

in question given ,x = 2, y = 3, z = 5 in this way

(3x+3z+2w) and find the value of w . according to given values and put

Answer:

  4 +30/w . . . . for any w≠0

Step-by-step explanation:

The given constraints resolve to 2 equations in 4 unknowns. There are an infinite number of solutions.

The ratio requirement means ...

  (x -y +z)/2 = (y -z +2w)/3 = (2x +z -10)/5

Considering the first equality, we can multiply by 6 and subtract the right side.

  3(x -y +z) -2(y -z +2w) = 0   ⇒   3x -5y +5z -4w = 0

Considering the first and last expressions, we can multiply by 10 and subtract the right side.

  5(x -y +z) -2(2x +z -10) = 0   ⇒   x -5y +3z = -20

These two equations have solutions ...

  x = 10 -z +2w

  y = 6 + 0.4z +0.4w

Using these expressions in the ratio of interest, we have ...

  (3x +3z -2w) : w = (3(10 -z +2w) +3z -2w) : w = (30 -3z +6w +3z -2w) : w

  = (30 +4w) : w

Expressed as a mixed number, the ratio of interest is ...

  (30 +4w)/w = 4 +30/w . . . . an infinite number of solutions

__

For positive values of w that are divisors of 30, there are 8 possible values:

   (w, ratio) = (1, 34), (2, 19), (3, 14), (5, 10), (6, 9), (10, 7), (15, 6), (30, 5)

_____

Check

It might be interesting to substitute the expressions for x and y into our original equation(s).

  (x -y +z)/2 = ((10 -z +2w) -(6 +0.4z +0.4w) +z)/2 = (2 -0.2z +0.8w)

  (y -z +2w)/3 = ((6 +0.4z +0.4w) -z +2w)/3 = (2 -0.2z +0.8w)

  (2x +z -10)/5 = (2(10 -z +2w) +z -10)/5 = (2 -0.2z +0.8w)

All of these expressions are identical, as they should be.

Xavier has 29 baseball
cards he'd like to share
with his 3 best friends.
Each friend gets an equal
number of cards. How
many baseball cards will
be left over?
Math

Answers

Answer:

2

Step-by-step explanation:

29 % 3 = 9

3x9 = 27

29 - 27 = 2

The triangle and rectangle have the same perimeter.find the value of x.

Answers

Answer:

[tex]x + 5 \: + \: x \: + 6 \: + x + 7 = 2x - 1 + x + 7 + x + 7 + 2x - 1[/tex]

[tex]3x + 18 = 6x + 12[/tex]

[tex]18 = 3x + 12[/tex]

[tex]6 = 3x[/tex]

[tex]x = 6 \div 3 = 2[/tex]

[tex]x = 2[/tex]

I hope this helps you !!

1 minute is equal to 60 seconds. How many seconds are in 3 minutes, 37 seconds?

Answers

Answer:

217 Seconds.

Step-by-step explanation:

The answer is 217 seconds because 60x3+37=217.

B+8/2=6
How do I do this

Answers

divide 8/2 which is 4 so B+4=6 subtract 4 from both sides so b+4-4=6-4

so that means B=2 and that is ur answer

Answer:

B = 2.

Step-by-step explanation:

First work out 8/2. Okay so how many 2's go into 8? 4.

We now have B + 4 = 6.

Now that we've simplified it a bit we can do a reverse equation and turn it into subtraction.

Take the answer (6) and 4 and put them into a subtraction equation,

6 - 4. And simple subtraction should be easy so 6 - 4 = 2.

So B equals 2. Let's check it! 2 + 4 = 6. I think that sounds right so that will be the answer. B=2.

Hope that helps. x

find the slope
a line that passes between (-5, 8) and (2,4)

Answers

Answer:

Step-by-step explanation:

formula : m=(y2-y1)/(x2-x1)

(4 - 8) / (2 - - 5)

-4 / 7

m = -4 / 7 = -0.57143

Other Questions
Which two properties of equality could zoe use to finish solving for x? either the addition or subtraction property of equality either the multiplication or division property of equality either the addition or multiplication property of equality either the subtraction or division property of equality. My brother needed some help on a test and wasn't sure what he needed to add or if he was missing something. Can you guys check this out for me as I don't know what he needs to add? He wrote: This story begins with a young man who has a problem: he wants to make money, but his family forbids him from working. Because the boy is 18 years old and must complete his education, his family will not allow him to work and earn money. This young man lives in a small row house in San Francisco, California, with his mother, father, and two sisters. He receives some financial support from his family, but it is insufficient to cover the cost of living in the city or pay his tuition. Jacob Hatcher is the name of this young man. To get a job: Jacob pleaded with his father to let him get a job, but his father was unreasonable and denied it. Unable to get permission, he went to his mother and tried to win her permission with facts and logic. "If I get a job, my father won't have to work as much, and we won't have any problems paying our rent," he said. His mother, too, was irrational and denied it. He turned to his friends for assistance when he ran out of ideas. To his friends, he said, "My parents are both unreasonable and refuse to let me get a job. I've done everything I could to persuade them. Have you got any suggestions? " They all agreed that he should persuade his sisters to persuade their parents because they were younger and more easily persuaded. To persuade them, he told them that if he got a job, he'd buy them candy and other treats if they asked. They were both skeptical, but they agreed to assist him anyway. They tried to persuade their parents to give him a job by saying things like, "I wish we could afford better toys." They were using short but clever sentences to persuade them, but it would still be weeks before they permitted him. To hasten the process, he told white lies, such as, "The grocery store owner said they were going to raise their prices on some of dad's favorite foods." None of this was true, of course, but it was effective in increasing his chances of getting permission. Both of their parents were intimidated by the gap in food budgets. The strategy was masterful. It worked. Jacob's parents had told him that he could only get a job if it was at his uncle's grocery store. After signing the paperwork, he had gotten a job. On the way to his first day at work, Jacob felt sick to his stomach. After walking slower than a snail and meeting his uncle, he immediately ran to the bathroom in pain, bumping into a customer in the process, knocking them down, and making them drop all of their items. Afterward, Jacob apologized immediately. His uncle wasn't amused, so he had to work for a week without pay to pay off what he had broken and pay back the customer for their sprained ankle. Jacob was certain that his uncle would fire him after what happened, but instead, he was congratulated for having kept working even though it was so hard for him. this is what he sent to me as a checklistdoes your text include: An exposition, rising action, complicating incident, climax, and a resolution. Setting, plot, and theme.Sensory details and rich description capture the reader's attention and develop a mood.A narrator with a consistent point of view.Dialogue to move the plot and show the characters ideas and feelings.Consistent verb tense.Appropriately selected and implemented active and/or passive voiceCorrect capitalization, punctuation, and spelling. Question 10 of 20 :Select the best answer for the question10. What is the purpose of the introduction in an essay?A. To focus on current statisticsB. To highlight the most important conceptsC. To explain the main idea to the readerD. To establish the main idea of the essay Which type of homework requires the student to combine different skills to complete the assignment? O A. Review notes from a class lecture. B. Complete a worksheet about vocabulary learned in Spanish class. C. Complete a U.S. history project. D. Read chapter 6 for biology class. SB HELP ME!!!! how did the psalmist express his awe and thanksgiving to god for his abiding presence and love for him? What is the term used to describe textual representations of facial expressions, often used in e-mail messages? How many 4th cups of flour are in 3 3/4 cups Find the slope of the line below. Enter your answer as a fraction or decimal.Use a slash mark (/) as the fraction bar if necessary.5|(2, -1) 5(-2,-3)2 how often to alternate tylenol and motrin for toddler please help anybody hm A planet has a circular orbit around a star. It is a distance of 65,000,000 km from the centre of the star. It orbits at an average speed of 65,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf. what is (0.25) x (1.4) What equipment is generally used to make lyophilized medications suitable for administering to the patient? a) Test tubes or sterile ampules O b) Petri dishes and sterile droppers c) Sterile syringes or graduated cylinders d) Measuring cups and clean, warm water Kasey had to make a down payment of 17% of the selling price of her house. She was approved for a $255,000 mortgage. What range of costs might she expect to pay at the closing? which compound contains both ionic and covalent bonds Match each shape with its area formula. _____ is the method of binding instructions and data to memory performed by most general-purpose operating systems. A rainforest is an example of a Which of the following attempts to change a state of being or to exert agency on or over events or natural phenomena? What is the solution to the equation 6z+1=47z , given the replacement set {5, 3, 1} ?531I don't know.