Five friends attend a matinee movie and spend $8 per ticket. They also purchase a small bag of popcorn each. The friends spend a total of $62.50. Let x be the price of a small bag of popcorn.

Part A

Which equation represents the situation?
62.50 + 8x = 40
40 + 8x = 62.50
40 + 5x = 62.50
62.50 + 5x = 40
Part B

How much does each small bag of popcorn cost?

$

Answers

Answer 1

Answer:

Formula: (cost of ticket + cost of popcorn) * # of friends = total cost

Which would give us (8 + x) * 5 = 62.5

Solve for x.

8 + x = 12.5 {divide each side by 5}

x = 12.5 - 8

x = 4.5

Each small bag of popcorn costs $4.50.

hope this helps!

Answer 2

The equation representing the given situation is 40 + 5x = 62.50 and the price of a small bag of popcorn will be $ 4.5. Option C is correct.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, five buddies each pay $8 for a ticket to the matinee. Additionally, they each buy a little bag of popcorn. The pals spend $62.50 altogether.

Suppose x represent the price of a small bag of popcorn.

(cost of ticket + cost of popcorn) × number of friends = total cost

⇒ (8 + x) 5 = 62.5

Simplify the equation to obtain the value of x as

⇒  (8 + x) = 62.5/5

⇒ 8 + x = 12.5

⇒ x = 12.5 - 8

⇒ x = 4.5

Thus, the equation representing the given situation is 40 + 5x = 62.50 and the price of a small bag of popcorn will be $ 4.5. Option C is correct. Option C is correct.

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Related Questions

Holland added three decimals that made a sum of 2. One of the decimals was 0.34.

What are two other decimals Holland could have used to make a sum of 2? Explain how you know.

Answers

2 - 0.34 = 1.66

0.96 + 0.7 = 1.66

Holland could have used 0.96 and 0.7 (or any other 2 decimals that add up to 1.66).

The two other numbers could be 0.83.

First, do the equation 2 - 0.34 = 1.66.

Next, divide 1.66 ÷ 2 = 0.83.

Finally, add 0.83 + 0.83 + 0.34 = 2.

So the two other decimals Holland could do is 0.83.

Aman had to sell his television at a loss of 12%. If the selling price was
Rs.7040, what was its cost price? Explain step by step please.

Answers

this is the explanation i hope it will be good

So formula is

1200*12/100

12*12=132

Determine whether the measures for the figure shown proportional.

A. the length of a side and the perimeter

B. the length of a side and the area

Answers

Answer: 5 length & width

Step-by-step explanation:

Since this is a square all sides would be the same length & width which would be 5 because each side is symmetric. So if you do 5 times as many sides as there is (5 x 4) it would give you 20

So the LENGTH of EACH side is 5 and the AREA in total or PREMIETER would be 20 all together.

(hope this helps)

5 length and width no explanation

The weight limit for checked baggage at the airport is 50 pounds. What is the limit in kilograms?
Answer Choices:
A. 22.7 kg
B. 50 kg
C. 110 kg

Answers

Answer: A. 22.7Kg

Step-by-step explanation:

Pounds to Kg = /2.205

50/2.205 = 22.7Kg (Rounded)

A 22.7 because when you change 50 pounds into kilograms you get 22.7

A bee flies 6 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 14 minutes, and then flies directly back to the hive at 4 feet per second. It is away from the hive for a total of 19 minutes. A. what equation can you use to find the distance of the flowerbed from the hive? B. How far is the flowerbed from the hive? Let d be the distance of the flowerbed from the hive.

Answers

Answer:

5 minutes

Step-by-step explanation:

d / r = t

The bee is flying for 19 - 14 minutes

(d / 6) + d / 4) = 5

Answer: 25 feet

Step-by-step explanation:

19 - 14 = 5

total travel time = 5 min

av. between 6 and 4

= 6+4÷2 = 5

5 feet per sec × 5 min = 25 feet

The SSS rule is used to prove what property?

1.) It's used to show that polygons are similar if their corresponding sides are proportional.

2.) It's used to show that (triangle symbol)s are congruent if their corresponding sides are congruent.
(won't let me use the triangle looking symbol)

Answers

Answer:

2

Step-by-step explanation:

(SSS) says triangles are congruent if three sides of one triangle are congruent to the corresponding sides of the other triangle.


2.) It's used to show that (triangle symbol)s are congruent if their corresponding sides are congruent.

Complete the inequality statement. 40 cm ___ 4 m
>
=

Answers

4 m is larger is that what you are asking
the answer is > (greater than)

hopes this helps :)

33.
Find the value of the expression: (5 + 7)2
a. 24 c. 144
b. 74 d. 54

Answers

Answer: a. 24

Step-by-step explanation:

We will simplify using PEMDAS.

Given:

(5 + 7)2

Add:

(12)2

Multiply:

24

              a. 24

Hello!

[tex](5+7)2[/tex]

[tex]5+7=12\\12*2=24[/tex]

Your answer would be A. 24

Hope this helps!

PLEASE HELP!! TIMED!

A line is defined by the equation y= 2/3x-6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this point?

Answers

the answer at the top is correct
Y=2/3X - 6
0 = 2/3X - 6
6=2/3X
X=9

Multiply or Divide. Write fractions in simplest form.

Answers

Answer: -7/26

Step-by-step explanation:

7/3/(-2), answer: -7/26

Which statement is true?

Answers

Pluto is approximately 1.1 x 10^8 miles farther from the sun than jupiter
The answer above is correct , i just got that one

Will give brainliest to the best or first answer!

Answers

Answer: Not what's written down.

Step-by-step explanation:

Okay, so basically, if you have a letter, no other number can go with that number with a letter. So like 5x + 2b -7.

There is only one number that has x, so 5x.

Same with b. 5x + 2b.

Now, there is no letter with the 7, so that will stay the same.

So, the answer is 5x + 2b -7.

Now, I look at your question.

If I do all of the work I just showed, the answer is C.

The answer should be D because the rest just don't really make sense. Your trying to find x, which is the number of lawns that each would have to mow in order for Tim and Matt to make the same amount of money.

What is the actual area of Julio's kitchen floor?

Answers

Answer:

area=2Πr(r+h)

area=hhhhhh

hhhhhhhhh

hhhhhhh

2.56 feet long ant I know thx j and you know I have to do it all the way through and forth with my family emergency I am not trying anything for you

12 pizzas on 2 plates = ___ plates per pizza

Answers

Answer:

Step-by-step explanation: 12X2=24 pizza pieces on the two plates in all.

24 is you’re answer because you have 12 pizzas on 2 plates 12•4=24

Please help ill give you lots of points
the cost of a8 CDS plus the sales tax of 1.34 is 105.26 dollars
make an equation

PS I'm desperate

Answers

Answer:

12.99x+1.34 is your equation.

Step-by-step explanation:

1.34 is the constant, so take that from the total since it’s not the actual price per CD. 103.92 is the price for all 8 CDs together, so divide that by 8 to get the price per CD.

Use a proportion to convert 10,000 kilometers to miles. Round to the nearest whole number.

Answer Choices:

A. 16,100 miles

B. 5,000 miles

C. 6,211 miles

D. 10,000 miles

* Note * Whoever answers this first will get brainly, and please show your work or I won't get any credit.

Answers

C
Because 1mile is 1.609344 so you just divide the kilometre figure by 1.609344 which is 6210.7119223733 rounded up is 6211
The answer should be C
Hope this helps! :D

Which statement is the best comparison between the populations of the two continents in 2008

Answers

Answer:

Africa population is 2X larger than North America

Step-by-step explanation:

9.67x10⁸ = 967000000 which is 2 times more than north america which is 529 million

Answer:

Africa's population was about 2 times larger than North America's population in 2008

Step-by-step explanation:

9.67*10^8 = 967000000 = 971 million

971 million = Africa

529 =  north America

divide the sum of 3/2 and 5/7 by their difference

Answers

For 3/2 it’s 1 1/2 and for 5/7 it’s 0

Answer:

hope it helps ☜☆☞o==[]::::::::::::::::>

answer is 2 1/10

solve please
ab - cd = 0
solve for C

Answers

c= ab/d


step by step:
1. isolate the term in C, ab=cd
2. divide both sides by the coefficient of c, which is d
ab/d = cd/d
3. the d’s cancel
ab/d=c
but to make it look nicer, c= ab/d. both answers are correct though!

Answer:

c = ab / d

Step-by-step explanation:

ab − cd = 0

Add -ab to both sides:

ab − cd+− ab= 0 +− ab

−cd=−ab

Divide both sides by -d:

− cd/−d = − ab /−d

c = ab / d

8(5-2x)=24

Solve x. Pls show working

Answers

distribute the terms

-16x+40=24

subtract 40 from both sides

-16x - -16

divide both by 16

x = 1

First multiply 8 times 5 and 8 times -2x since 5 and to -2x our in the parentheses. Now you have 40-16x=24. Subtract 40 from both sides to get -16x=-16. Finally divide both sides by negative 16 to get x alone. The answer is x=1. Remember that whatever you do on one side you must do to the other side.

Two integers, n and p, have a product of -10. What is the smallest possible sum of n and p? Explain your strategy.

Answers

Answer: -5 x 2

Step-by-step explanation:

Multiply −5 and 2 to get −10.

To end up with a negative make sure to put a negative number inside the problem with a positive number.

-5X2 because multiplies to -10

Please answer need the extra credit
*count a pair of shoes as a singular unit *

Mary oversees shoe suppliers from 3 places. she is trying to supply for
retail stores.

supplier A has 4 crates of shoes plus six loose pairs
supplier B has 6 crates of shoes, but one pair is missing
supplier C has 10 crates plus five loose pairs

assume each crate contains an equal number of shoes, write an expression describing the total number of shoes available.

write another expression describing the number of shoes available for each retail store if the shoes are divided equally among stores.

Answers

Answer: 20c + 10.

Step-by-step explanation:

(c represents crates)

I wrote each equation separately first.

Supplier A: 4c + 6

Supplier B: 6c - 1

Supplier C: 10c + 5

We can add all the cs from each supplier giving us 4c + 6c + 10c which equals 20c. Now we can add the extra shoes as, 6 + (-1) + 5 equaling 10. I wrote -1 because we are missing that shoe, but you can write it as 6 - 1 + 5 instead. Together the two numbers make the equation 20c + 10. Hope that helps : )

I got the answer 20c+10

4c+6 for supplier A
6c-1 for supplier B
10c+5 for supplier C

Combining the like terms of C you would get 20c
Then combining the other number (-1,6,5) you get 10

Which of the following points best represents the location of -1 5/8 on the number line?

Answers

Answer:

A

Step-by-step explanation:

Looking at the number line, you will notice that A, B, and C are less than 0.

Eliminate D, which is greater than 0.

Further still, as negative numbers get 'smaller', they go from -1 to -∞.

i.e.: -1 > -2 > -3

if you forget the above fact, looking at the number line, you can see that A is between -1 and -2, and [tex]-1\frac{5}{8}[/tex] is between -1 and -2 just as [tex]1\frac{5}{8}[/tex] is between 1 and 2.

Then, simply counting the ticks from -1 to -2, you can see that A falls on the 5th tick, while -2 falls on the 8th tick from -1.

Hope this helped.

Answer:

A

Step-by-step explanation:

-1 5/8 would be between -2 and -1

Martin Luther King Jr was 5 feet tall, 7 inches (67 inches) tall. The statue is 30 feet tall. What is the ratio of Martin Luther King Jr's actual height to the statue?

Answers

Answer:

67 inches : 360 inches

Step-by-step explanation:

30 feet = 360 inches

Martin Luther King Jr : Statue

                              67 : 360

                             

The ratio of Martin Luther King Jr's actual height to the statue is 67 : 360.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

Martin Luther King Jr height = 5 feet tall and 7 inches

This is 67 inches tall.

The statue height = 30 feet tall.

This is 12 x 30 = 360 inches

Now,

The ratio of Martin Luther King Jr's actual height to the statue.

= 67 : 360

Thus,

The ratio is 67 : 360.

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What is the value of

Answers

Answer: option 1

Step-by-step explanation:

Answer:

1. Is the correct one.

Step-by-step explanation:

Please answer need the extra credit
*count a pair of shoes as a singular unit *

Mary oversees shoe suppliers from 3 places. she is trying to supply for
retail stores.

supplier A has 4 crates of shoes plus six loose pairs
supplier B has 6 crates of shoes, but one pair is missing
supplier C has 10 crates plus five loose pairs

assume each crate contains an equal number of shoes, write an expression describing the total number of shoes available.

write another expression describing the number of shoes available for each retail store if the shoes are divided equally among stores.

Answers

that’s is the right answe
The answer is A bc it is.

Write an equation with a slope: -3/4 and y-intercept: -1/4

Answers

Answer:

y = (-3/4)x - 1/4

Step-by-step explanation:

Use the slope-intercept formula y = mx + b.  Here m = -3/4 and b = -1/4, and so:  y = (-3/4)x - 1/4

The equation of the line with slope  -3/4 and y-intercept is -1/4 is y=-3/4x-1/4.

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of the line is the ratio of the rise to the run, or rise divided by the run.

It describes the steepness of line in the coordinate plane.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that the slope is -3/4 and y-intercept is -1/4.

We have to find the equation of line with slope -3/4 and y-intercept is -1/4.

m=-3/4 and b = -1/4

Now plug in these values in slope intercept form y=mx+b

y=-3/4x-1/4

Hence, y=-3/4x-1/4 is the equation of the line with slope  -3/4 and y-intercept is -1/4.

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Find the value of the expression: 3 ⋅ (2 + 6)2
a. 114 c. 48
b. 192 d. 144

Answers

Answer:

48

Step-by-step explanation:

first, we will use the distribution property: a (b + c): (ab + ac)

[3(2) + 3(6)] 2

now we will multiply

(6+18)2

(24)2

=48

2+6=8
8x2=16
16x3=48
answer is c

The library loans 4 times as many non-fiction books as it does
fiction books. Write a rule for the relationship between the two
variables. Use n for non-fiction and f for fiction.

Answers

N * 4 =f
We know there are 4 times as many non-fiction books as there are fiction books so we would have to multiply non-fiction by 4 to figure out how many fiction books there are

The rule for the relationship between the nonfiction and fiction books as an expression is n = 4f.

We have,

Let's write a rule for the relationship between the number of non-fiction books (n) and the number of fiction books (f) based on the given information.

We are told that the library loans 4 times as many non-fiction books as it does fiction books.

This means that the number of non-fiction books (n) is equal to 4 times the number of fiction books (f).

Mathematically, we can express this relationship as:

n = 4f

Where:

n = Number of non-fiction books

f = Number of fiction books

Thus,

The rule for the relationship between the nonfiction and fiction books as an expression is n = 4f.

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what is 2 to the power of -1 + 1/2?

Answers

Answer:

The answer is 1

Step-by-step explanation:

2^-1 is basically turning it into 1/2. And the rest is history

Answer:

1

Step-by-step explanation:

can you pls make me BRAINLYS

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