For a school fundraiser, Troy sold 28 bags of popcorn and 40 candy bars and made $282. Jake sold 17 bags of popcorn and 20 candy bars and made $160.50.

What was the cost of a bag popcorn?

A. $10.35
B. $6.00
C. $6.27
D. $6.50

Answers

Answer 1

Answer:

Cost of a bag popcorn = $6.5

Step-by-step explanation:

Given:

Number of popcorn bags sold by Troy = 28

Number of candy bar sold by Troy = 40

Number of popcorn bags sold by Jake = 17

Number of candy bar sold by Jake = 20

Amount Troy earn = $282

Amount Jake earn = $160.5

Find:

Cost of a bag popcorn

Computation:

Assume;

Cost of a bag popcorn = a

Cost of a candy bar = b

28a + 40b = 282..........eq1

17a + 20b = 160.5...............eq2

eq2 x 2

34a + 40b = 321.........eq3

eq3 - eq1

6a = 39

a = 6.5

Cost of a bag popcorn = $6.5


Related Questions

9. Teresa was taking her two children to the zoo. She purchased 1 adult ticket for herself and 2 children's
tickets for a total of $18.20. A family of 5 was also visiting the zoo. -The family purchased 2 adult tickets and
3 children's tickets for a total of $30.90. How much money did an adult ticket cost?

Answers

Answer:

plz mark as brainliest

Step-by-step explanation:

$7.9

Please help with this, it’s Khan Academy A.K.A annoying

Answers

B makes sense.

On the first play, they gained 6 yards.

On the 2nd play, they lost 8 yards, which can be shown as + (-8)

On the 3rd play, they lost two yards, which can be shown as + (-2)

If you input it in a calculator, you'd find that the answer is a negative, which makes sense considering that they lost more yards than they gained.

A= bh;
A = 28, h = 4

Answers

28= b(4)
divide both sides by 4. to leave the variable b alone
Answer: 7=b

can someone explain how to do this

Answers

Answer:

مرحبًا ، سأكون سعيدًا لمساعدتك في حبك في العمل ، وأريد المزيد من التفاصيل ، وسأبذل قصارى جهدي لإرضائك

Step-by-step explanation:

Answer:

I recommend using GeoGebra to graph the coordinates

Step-by-step explanation:

I use that whenever someone asks if certain coordinates make a shape

Here's the link:

http://contentstore.ple.platoweb.com/content/GeoGebra.v5.0/GeoGebra_Activity.html

Write the equation of the line that passes through the points (8, 14) and (-2,-16) in slope-intercept form.

Answers

Answer:

y = 3x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 14) and (x₂, y₂ ) = (- 2, - 16)

m = [tex]\frac{-16-14}{-2-8}[/tex] = [tex]\frac{-30}{-10}[/tex] = 3 , then

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 14 ) , then

14 = 24 + c ⇒ c = 14 - 24 = - 10

y = 3x - 10 ← equation of line

Having trouble solving this

Answers

opt1.

667/1000

=66.7

hope u understand

Answer:

more like dividing the up ones with bottom ones

EX 717/1000=0.717

A man is cycling in a place where wind is blowing. He travels 12 km against the direction of the blowing wind. In doing so, he took the same time while going 28 km in the direction of the wind. Find the speed of the wind. ( Hint - When the man is cycling in the direction of the wind, wind speed is added to his speed; otherwise it is subtracted.)

Answers

Answer:

The speed of the wind is 4.8 km/hr

Step-by-step explanation:

The parameters of the motion of the man are;

The distance the man travels in the given time while moving against the wind = 12 km

The distance the man travels in the giving time while going with the wind = 28 km

From search online for of a similar question, we have;

The speed with which the man is cycling = 12 km/hr

Let. 't', represent the time the travels each distance, let 'w', represent the speed of the wind and let 'v' represent the speed of the man, we have;

Time, t = Distance, d/(Velocity, v)

The resultant speed of the man when he travels against the wing = v - w

The resultant speed of the man when he goes in the the wing = v + w

Therefore, we have;

12/(v - w) = 28/(v + w)

12·v + 12·w = 28·v - 28·w

12·w + 28·w = 28·v - 12·v = 16·v

40·w = 16·v

∴ w = (16/40) × v = (2/5) × v

The speed with which the man is cycling = 12 km/hr

∴ The speed of the wind, w = (2/5) × v = (2/5) × 12 km/hr = 4.8 km/hr

The speed of the wind = 4.8 km/hr.

Can someone help me?

2b²+17b+21

Thanks​

Answers

Answer:

(2b+3) (b+7)

Step-by-step explanation:

2b²+17b+21

2b²+14b+3b+21

2b(b+7) + 3(b+7)

(2b+3) (b+7)

Answer:

roots are -3 and -14

Step-by-step explanation:


Use the properties of exponents to simplify the following expressions

1. 5³⋅5⁴

5⁷
5¹²
5⁻¹
5

2. (2⁸)²

2¹⁶
2⁶
2¹⁰
2⁴

3. Anything raised to a power of zero is always:

0
itself
1
negative

4. n²⋅n⁴⋅n⁵

n²²
n¹³
n⁴⁰
n¹¹

5. 8⁷ ⁄ 8²

8⁵
8¹⁴
8⁹
1⁵

6. 3⁻⁴

3^4
-3^4
1 ⁄ 3^4
1 ⁄ 12

7. 7⁰

0
7
-7
1

8. Fill in the blank with the correct exponent to make the statement true.
3^16 = (3^8)(3^_ )

2
4
8
1

9.Which is equivalent to 5 x 5 x 5 x 5

5^3
4^5
5^4
5^5

10. Which is equivalent to 3^4Respuesta necesaria. Opción única.

27
81
9
12

Answers

Answer:

Below in bold

Step-.by-step explanation:

1.  5 ^(3+4) = 5^7.

2.  2^(8*2) = 2^16.

3.   1.

4.   n^11

5.  8^(7-2) = 8^5.

6.  1 / 3^4.

7.  7.

8. 8.

9.  5^4.

10. 81.

1) 5³ • 5⁴
= 5³+⁴
= 5⁷

2) (2⁸)²

= 2⁸ײ
= 2¹⁶

3) anything raised to a power of zero is always 1

4) n² • n⁴ • n⁵

= n²+⁴+⁵
= n¹¹


5) 8⁷/8²

= 8⁷-² = 8⁵

6)
3-⁴ =
1/3⁴


7) 7⁰ = 1


8)
3¹⁶ = (3⁸) (3*)

16-8 = 8

9) 5×5×5×5 = 5⁴

10) 3⁴ = 3×3×3×3 = 9×9 = 81

Ms. Alonzo ordered 4,000 markers for her store. Only 1/10 of them arrived. How many markers did she receive?

Answers

Answer:

400 markers.

Step-by-step explanation:

4,000 × ¹/10 = 400.

.Answer:

To calculate a/b of some number c, where a, b, and c are any number, we do the following: a/b x c

Step-by-step explanation:

1/10 x 4,000 = 4,000/10

400 x 10

    10

= 400

= 4 x 100

= 4 x 10 2

400 = 4 x 10 2 markers

Someone plz help me with this question with an explanation

Answers

To use the angle-angle similarity theorem you need to know 2 corresponding angles of each triangle are the same.

You are already shown that angles H and M are the same.

The sets of corresponding angles are:

H and M, N and I, and O and J

The answer would be angle O and angle J are similar.

joão has 7 apples if he gives joana 3 and matilde 4 how many did he have?

Answers

He had 7 and now he has 0.

Can you conclude that these triangles are congruent?

Answers

Answer:

yes

Step-by-step explanation:

each side is length by with so you can tell these are congruent

Answer:

Yes

Step-by-step explanation:

The reason is because the marks in all of the angles mean the angles are congruent. If the angles match up (1 mark, 2 marks, 3 marks, etc.) then the triangles are congruent.

Complete the sentence.

Answers

Answer:

50 more

Step-by-step explanation:

Answer:

50 more than............

can someone please help i promise i’ll mark brainliest!!

Answers

Answer: I’m so sorry I don’t understand it but you should try Photomath it’s a app that helps with math and gives answers to math problems. Another good app is Socratic it looks for answers for any subject.

Step-by-step explanation:

guys please tell me the all questions brifley it's very important for me ​

Answers

Answer:

3.a) 8  b) -28  c) √21  d) 2

4.a) 27  b) 25  c) √3 + √24  d) -4

Step-by-step explanation:

3. a) 3+5=7                                4. a) 7(3)-3(-2)

b) 4(-4-1)+2(-4)                                 21+6

4(-5)-8                                               27

-20-8                                               b) 5*(3(3)+2(-2))

-28                                                       5*(9-4)

c) √2(3)^2+3                                         5*(5)

√2(9)+3                                                  25

√18+3                                               c) √3 + √2(3)(-2)^2

√21                                                       √3 + √2(3)(4)

d) (-4+3)(8/-4)                                         √3 + √24

(-1)(8/-4)                                              d) (4/-2) + (3/3)

2                                                        Find the LCM of 2 and 3

                                                          3(4/-2) + 2(3/3)

                                                               -6 + 2

                                                                  -4  

Hope this helps.

Help!!! Please HELP!!!

Answers

Answer:

D

Step-by-step explanation:

that's where they cross

Triangle V P M. Angle V is 52 degrees, angle P is 78 degrees, angle M is x degrees.

Answers

Answer:

[tex]x = 50[/tex]

Step-by-step explanation:

[tex]52 + 78 + x = 180[/tex]

[tex]130 + x = 180[/tex]

[tex]x = 180 - 130[/tex]

[tex]x = 50[/tex]

Last year, Michael opened an investment account with $5400. At the end of the year, the amount in the account had decreased by 23.5%. How much is this
decrease in dollars? How much money was in his account at the end of last year

Answers

He would have $4131 left from $5400 with a decrease with 23.5%

please help me and thank you​

Answers

The answer is 6^7
Hope this helps

If r = .15, this indicates

Answers

Answer:

Then D=.30

Step-by-step explanation:

Diameter is two times the radius

I think this is correct I'm not to sure

hope this helps :)

Using the following equation , solve the equation graphically for integral values of x any.
Plot a graph of the equations and shade out the area which is not in the range of values.

1.
[tex]y \geqslant 0 , \\ x - y \geqslant 1 , 3x + 4y < 12[/tex]

Answers

Answer:

See the attached

Step-by-step explanation:

y ≥ 0 - limits the region to first and second quadrantsx - y ≥ 1 ⇒ y ≤ x - 1 (region A on the graph)3x + 4y < 12 ⇒ y < - 4/3x + 4 (region B on the graph)

Regions covered by each functions are shaded and the intersection also shaded and marked.

The white area in the graph is the out of range region.

Answer:

  {(1, 0), (2, 0), (2, 1)}

Step-by-step explanation:

In the attached graph, the dashed lines are to be considered part of the unshaded area, hence in the solution set. The only points with integer coordinates in the solution set are the ones listed above.

Hi! PLS HELP ITS 30 POINTS!! Thanks!
A soda bottle holds 1.5 liters of soda. How many milliliters does the bottle hold?

15 millimeters
150 millimeters
1,500 millimeters
15,000 millimeters
Pls help!
Imma report u if its something off the topic!
Thanks again!
(its not b i tried it and got it wrong!! )

Answers

Answer:

1,500 millimeters

Step-by-step explanation:

1 litre = 1000 millilitre.

Try 1,500.

5 times a number is at least 60.
Please help DUE TODAY

Answers

Answer:

5 times 12 = 60

Step-by-step explanation:

5 times 12 is at least 60

find the tangents of the acute angle in the right triangle. write each answer as a fraction​

Answers

Answer:

[tex]tanD=\frac{7}{24}[/tex]

[tex]tanF=\frac{24}{7}[/tex]

Step-by-step explanation:

We are given that

ED=24units

EF=7units

FD=25 units

We have to find  the  tangents of the acute angle in the right triangle

We know that

tangent=[tex]\frac{Perpendicular\;side}{Base}[/tex]

Using the formula

[tex]tanD=\frac{EF}{ED}[/tex]

[tex]tanD=\frac{7}{24}[/tex]

[tex]tanF=\frac{ED}{EF}[/tex]

[tex]tanF=\frac{24}{7}[/tex]

On Monday, Florencia's hair was h centimeters long. She got a haircut on Tuesday, so her hair was only 75% percent of the length it was on Monday.
Which expressions could represent how many centimeters long Florencia's hair was after the haircut?
(The Question says to pick 2 answers out of the multiple choice options so here you go)
A. h (1-0.75)
B.(1- 75/100) h
C. 3/4 h
D. 0.75 h
E. 1/4 h

Answers

Answer:

D

Step-by-step explanation:

75/100 = .75 x the Monday length (h)

Graph the linear equation y=2.

Answers

Answer:

Here is a picture of how you will graph this equation

Step-by-step explanation:

Hope this Helped

Answer:

Slope= 0  Y-intercept= (0,2)

Step-by-step explanation:

The table below shows the monthly balances a person had on their credit card over a five-month period.

Month Balance
January -$50
February $25
March -$70
April -$45
May $25


What was the average monthly balance over the five-month period? Enter your answers and your explanations or work in the space provided.

Answers

Answer:

average monthly balance = $43

Step-by-step explanation:

If we have a set of N numbers:

{x₁, x₂, x₃, ..., xₙ}

The mean (or average) is calculated as:

Mean = (x₁ + x₂ + ... + xₙ)/N

In this case, the values on the set are the balances for every month.

Then our set is:

{$50, $25, $70, $45, $25}

This is a set of 5 elements.

Then the average monthly balance is:

average monthly balance = ($50 + $25 + $70 + $45 + $25)/5 = $43

average monthly balance = $43

New York City is approximately 205 miles from Washington, D.C. How far apart will these cities appear on a map with the scale 1 in: 50 miles?

Answers

Answer: 4.1 inches

Step-by-step explanation:

From the question, we are informed that New York City is approximately 205 miles from Washington, D.C.

The distance that these cities will appear on a map with the scale 1 in: 50 miles will be represented by x.

Therefore, x:205 = 1:50

Cross multiply

x/205 = 1/50

50x = 205

x = 205/50

x = 4.1 inches

The answer is 4.1 inches

There are 80 dogs and cats in the animal shelter. The ratio of dogs to cat 5/11 how many of animals are dogs

Answers

Answer:

Step-by-step explanation:

80/16x5=25

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