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 of popcorn

Answers

Answer 1

Answer:

$6.50 per bag of popcorn

Step-by-step explanation:

let a bag of popcorn be represented by p and a candy bar be b

28p + 40b = $282

17p + 20b = $160.50

this is an example of simultaneous equations

so you have to double the second equation to give 34p + 40b = $321

subtract the equations to give one -- >  6p = $39

divide $39 by 6 to give the value of one bag of popcorn = $6.50


Related Questions


P(Red Blue) =
Probability

Answers

It would be 5/48 just as they said above

What's at stake?

Forests are cradles of life—around four-fifths of all land species live in tropical forests. They play a vital role in regulating our climate by absorbing carbon dioxide, and help maintain our soil and water.

Forests directly support around 1.6 billion people—nearly a quarter of the world's population. And we all rely on them for the air we breathe and the countless products they provide.

But over the last half-century, people have destroyed forests at an alarming rate. We've already lost around half of the world's original forests.


The story so far

In the early 1990s, we campaigned to stop the timber industry destroying and degrading the world's forests.

At the time, few businesses believed they were responsible for where their timber came from. Those that did claim to sell products from well-managed forests had no way of proving it.

"Businesses didn't think the environment was their concern," recalls Jean-Paul Jeanrenaud, who led WWF-UK's work on forests at the time.

"We had chief executives slamming the phone down on us. I even had people threaten to punch me."

How things have changed… In September 1991, British DIY chain B&Q committed to working with us to buy only legal, sustainable timber. By the end of that year, 16 large UK companies had committed to sourcing their timber products from well-managed forests.

That was the beginning of our Global Forest & Trade Network. Today, it's a global partnership of some 275 retailers, producers, community groups and other organizations from across the forest industry supply chain. Members are committed to safeguarding the world's forests and the communities, economies and ecosystems that depend on them.

But we needed a way to turn those commitments into reality. So in 1993, we helped form the Forest Stewardship Council (FSC) to certify timber and wood-based products that meet high environmental and social standards.

For a forest to be FSC certified, independent inspectors check that it meets the FSC's strict criteria. All trees that are cut down have to be replaced or allowed to re-grow naturally, and parts of the forest are left untouched. The rights of indigenous people are respected, and local workers are employed on a decent salary. Often, companies support other social services, such as schools and clinics.

Inspectors also check every stage along the supply chain, so you can be sure that any product that bears the FSC logo is good for forests, people and wildlife.


Did you know?

Just 10 years ago, only 300 sq km of forest in Russia was FSC-certified. Today, it's 260,000 sq km—a quarter of its commercial forests.


Facts and stats

1.4 million sq km—area of forest certified by the FSC. That's an area more than twice the size of France
81—number of countries with FSC-certified forests
40 percent—forest area of Europe and North America certified by the FSC
US$73bn—annual sales of forest-based products by members of our Global Forest & Trade Network

What next?

Almost a tenth of forest products traded now meet FSC standards. That's a phenomenal rate of growth—but it means nine-tenths of products are still uncertified.

We believe some areas of forest need to be protected from any commercial logging. But we're supporting responsible forestry alongside protected areas to help conserve the world's most important forests:

In the Congo Basin, the largest area of tropical forest after the Amazon, 45,000 sq km is now FSC certified—and we're working with everyone from heads of state on down to increase this. As well as protecting important habitats for elephants, great apes and many other species, sustainable forestry is improving livelihoods for some of the poorest people on the planet.
In Borneo, we're working to conserve and restore the "Heart of Borneo," a 220,000 sq km area of the island's species-rich rainforest. Responsible forestry is a vital aspect of this: some 20,000 sq km is already FSC certified or in the process of certification. By 2020, we want the entire Heart of Borneo area to be protected or managed sustainably.
In the western Mediterranean, people have sustainably harvested cork for centuries. Cork oak forests provide a haven for rare plants, birds and other wildlife, including the Iberian lynx, the world's most endangered wild cat. We're promoting FSC certification to keep sustainable cork harvesting economically viable and help protect this unique landscape.

What you can do

You can help secure a future for the world's forests, and the people and animals that depend upon them next time you buy a table—or any other wood-based product.

Only buy products with the FSC label—it's the only credible certification scheme.

If you don't see the logo, ask the store or manufacturer why not. Make sure they realize that you as a customer want to know that the products you buy don't destroy forests. This message will swiftly get back to their suppliers.

Answers

Answer:

a type of meat that you can eat

Solve the following:
a) 2(5x – 3) = 24
b) 5(2x + 1) = 50​

Answers

Answer:

x = 3 and x = [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

(a)

2(5x - 3) = 24 ( divide both sides by 2 )

5x - 3 = 12 ( add 3 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

(b)

5(2x + 1) = 50 ( divide both sides by 5 )

2x + 1 = 10 ( subtract 1 from both sides )

2x = 9 ( divide both sides by 2 )

x = [tex]\frac{9}{2}[/tex]

find the value of x..

Answers

Answer:

B x = 7

Step-by-step explanation:

You know based on the ratio that it's being scaled by 4 times because the one side 4 is 16 in the bigger pentagon.

So if you go the side that matches the one you need to solve, it's 2.5.

2.5 times 4 = 10 so that bigger pentagon side should equal 10.

The equation x-3 = 10

which means x is 7

There are 21 boys and 7 girls in your gym class. Your teacher selects 2 students at random to be team leaders for a game. What is the probability that both students are girls?

A: 17/36 c: 1/2
b: 1/16 d:1 /18

Answers

Answer:

either b or d

Step-by-step explanation:

I believe it would be b

Solving One Step Equations. SHOW YOUR WORK
-6 = b/16 solve to find b

Answers

Answer:

-96

Step-by-step explanation:

multiply both sides by 16

write in slope intercept form
through (4,-1), parallel to y=x

Answers

Answer:

y=x-5 is parallel to y=x

Step-by-step explanation:

2x + 4 / 3 = -8 please help

Answers

x= -14/3 !


hope this helps

Answer:

X= -14/3

Step-by-step explanation:

Subtract \frac{4}{3}  

3

4

​  

 from both sides.

2x=-8-\frac{4}{3}

2x=−8−  

3

4

​  

 

2 Simplify  -8-\frac{4}{3}−8−  

3

4

​  

  to  -\frac{28}{3}−  

3

28

​  

.

2x=-\frac{28}{3}

2x=−  

3

28

​  

 

3 Divide both sides by 22.

x=-\frac{\frac{28}{3}}{2}

x=−  

2

3

28

​  

 

​  

 

4 Simplify  \frac{\frac{28}{3}}{2}  

2

3

28

​  

 

​  

  to  \frac{28}{3\times 2}  

3×2

28

​  

.

x=-\frac{28}{3\times 2}

x=−  

3×2

28

​  

 

5 Simplify  3\times 23×2  to  66.

x=-\frac{28}{6}

x=−  

6

28

​  

 

6 Simplify  \frac{28}{6}  

6

28

​  

  to  \frac{14}{3}  

3

14

​  

.

x=-\frac{14}{3}

x=−  

3

14

​  

 

Find all real numbers z for which the equation (z-5)x^2-zx+5=0 only has one real solution. If you find more than one, then list the values separated by commas.

Answers

Step-by-step explanation:

For the quadratic equation to have 1 repeated real solution, the discriminant b² - 4ac must be zero.

=> (-z)² - 4(z - 5)(5) = 0

=> z² - 20(z - 5) = 0

=> z² - 20z + 100 = 0

=> (z - 10)² = 0

Therefore z = 10.

Help please!!!!!!!!!!!

Answers

Answer:

f, it isnt doing anything as going up in units of water

Step-by-step explanation:

x = –8, y = 7, and z = –11. x - (-z)

Answers

Answer:

[tex]x - ( - z) = x + z =( - 8)+(- 11) \\ = \boxed{ - 19}[/tex]

-19 is the right answer.



Judith received the following amounts of money for doing chores: $5, $7, $3.50, $5, and $8. Give the mean, median, mode, and
range for her earnings.

Answers

Answer:

Step-by-step explanation:

Solve the system of equations
2x-5y=3
X-3y=1

Answers

Answer: 2x − 5y = 3

x − 3y = 1

(4, 1)

(5, 2)

(7, 2)

(9, 3)

Step-by-step explanation:

2.1.PS-14
Error Analysis A contractor purchases 7 dozen pairs of padded work gloves for $97.44. He
incorrectly calculates the unit price as $13.92 per pair for the expense report. What is the correct
unit price? What is the error?
The correct unit price is $
per pair

Answers

Answer:

Unit price = $1.16

His error was he divided $97.44 by 7 when in fact he should have divided 97.44 by 84

Step-by-step explanation:

7 dozen pairs

1 dozen = 12

7×12 = 84

97.44 ÷ 84 = 1.16

help pls due in 5 minutes

Answers

Answer:

the answer to this is 7 7/10

Answer:

4th option

Step-by-step explanation:

[tex]5\frac{1}{2}*1 \frac{2}{5}=\frac{11}{2} *\frac{7}{5} =\frac{77}{10}=7\frac{7}{10}[/tex]

A puppy weighs 2 7/8 pounds. Carla feeds the puppy 3 ounces of food for each pound that the puppy weighs. How many ounces of food does Carla feed the puppy?

Answers

Answer:

8 5/8 ounces

Step-by-step explanation:

Given that:

Weight of puppy = 2 7/8 pounds

Puppy is being fed 3 ounces of food for each pound it weighs

Ounces of food being fed :

1 pound = 3 ounces

2 7/8 pounds =?

2 7/8 * 3

23/ 8 * 3

= 69/ 8

= 8 5/8 ounces

please help me with this.

Answers

1.) 1 3/4 || 14/8 || 1 21/28
2.) 21/36 || 140/240
3.) 3 || 1 24/12 || 75/25 ||2 15/15

Do these pairs of values (x and y) represent two quantities that are
proportional?

A. No, because not all of the pairs represent the same ratio.

B. Yes, because the ratios
2/5 and 6/15 are equal.

C. No, because the y-values are not increasing at a constant rate.

D. Yes, because the ratios are all positive.

Answers

Answer:

A. No, because not all of the pairs represent the same ratio

Please help!

Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses whenever possible.

a. -4 and 4b + 4
b. 3x and 1 -3x

Answers

Answer:

Does this problem have a picture, I just need to make sure I am seeing everything correctly thanks!

Step-by-step explanation:

a. -4 and 4b + 4 = 4b

-4 and 4b + 4 = -4 + (4b + 4) = 4b + (4 - 4) = 4b + 0 = 4b

b. 3x and 1 - 3x = 1

3x and 1 - 3x = 3x + (1 - 3x) = 1 + (3x - 3x) = 1 + 0 = 1

Look at the problem above and please tell me which is correct

Answers

I think it's the third 4 ( а² + 2а ) + 9

The answer should be C

word form 952.374 pls help

Answers

Answer:

WORD from the 2.O

Step-by-step explanation:

Please help if possible!
Match the angle relationship with each given angle pair.

Answers

Answer:

???

Step-by-step explanation:

100 pts PLZ HELPPPPP
Which recursive formula fits the following pattern? 50, 25, 12.5, 6.25, 3.125...

Answers

Answer:

1.5625

Step-by-step explanation:

Find the ratio (r) between adjacent members: 50,25,12.5,6.25,3.125

a_2/a_1=25/50=0.5

a_3/a_2=12.5/25=0.5

a_4/a_3=6.25/12.5=0.5

a_5/a_4=3.125/6.25=0.5

The ration (r) between every two adjacent members of the series is constant and equal to 0.5 thus:

a_6 =a_1×(^r6-1)  =a_1×r^5 =50×0.5^5 =1.5625

____________________________

Question:
Write the ratio as a fraction in the simplest form.

Solve: 2 1/3 : 4 1/2

Answers

The answer is 14/41

8,-1,-5,2? Which one!.............

Answers

Answer: I would say -8,-1

Step-by-step explanation:

For the current reaction, 2NO2 ↔ N2O4, we have:

Kc = [tex]\frac{[N_{2} O_{4}]}{[NO_{2}]^{2} }[/tex]

Concentration of NO2 = 11.95
Concebtration of N2O4 = 6.05
Based on the current concentrations of NO2 and N2O4, what is Kc?

Answers

Answer:

[tex]\displaystyle K_c \approx 0.0424[/tex]

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Chemistry

Equilibrium

Equilibrium Constant KConcentrations - Denoted in [Brackets]Step-by-step explanation:

Step 1: Define

[RxN]   2NO₂ ⇆ N₂O₄

[Equilibrium Rate Law]   [tex]\displaystyle K_c = \frac{[N_2O_4]}{[NO_2]^2}[/tex]

NO₂ = 11.95 M

N₂O₄ = 6.05 M

Step 2: Find K

Substitute [ERL]:                    [tex]\displaystyle K_c = \frac{[6.05]}{[11.95]^2}[/tex]Exponents:                            [tex]\displaystyle K_c = \frac{[6.05]}{[142.803]}[/tex]Divide:                                   [tex]\displaystyle K_c = 0.042366[/tex]Round (Sig Figs):                  [tex]\displaystyle K_c \approx 0.0424[/tex]

This value of K tells us that the reactants are favored in the equilibrium reaction (K < 0.1).

PLEASE HELP URGENTLY I WILL MARK BRAINLIEST!!

Answers

Answer:

-99

Step-by-step explanation:

An integer is a whole number...no fractions, no decimals.

-99

integers are whole numbers. doesn’t matter if they are negative or positive. -99 is the only whole number. hope i helped. have a good day

Solve the inequality. Please help answer needed fast!! Will give BRAINIEST ANSWER 10 POINTS!!!

Answers

Answer:

lol

edited: x is negative

Step-by-step explanation:

Evaluate the expression 43+ (7 - 3) x 2.

Answers

Answer:

51

Step-by-step explanation:

Answer: 51

Step-by-step explanation:

Use PEMDAS. First solve inside the parentheses. You will get 43 + (4) x 2. Then, do the multiplication (4x2). You will have 43+8. And that can be simplified to 51. Hope this helps!

I need help pls. Thank you

Answers

2πr

2x22/7x2

4 x 22/7

88/7

=12.57142

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