100 points! PLEASE ANSWER!

Write a system of equations or inequalities (whichever is most appropriate for the given context) for the scenario below. Be sure to precisely define the variables.


YOU DO NOT NEED TO SOLVE THE SYSTEM! JUST WRITE ONE!


Scenario:


Charlie the Chocolatier mixed chocolate chips and pretzels to create 36 pounds of his holiday blend that sells for $6.00 per pound. The chocolate chips cost $7.00 per pound and the pretzels cost $4.00 per pound. How many pounds of each did he use?

Answers

Answer 1

Answer:

x + y = 36 (1)

7x + 4y = 216 (2)

Step-by-step explanation:

Quanrity of Holiday blend = 36 pounds

Cost per pound of the blend = $6.00

Cost of chocolate chips = $7.00 per pound

Cost of pretzels = $4.00 per pound

Let

Pounds of chocolate chips = x

Pounds of pretzels = y

x + y = 36 (1)

7x + 4y = 36 × $6.00

7x + 4y = 216 (2)

The system of equation is

x + y = 36 (1)

7x + 4y = 216 (2)


Related Questions

Students plan to decorate the school's flagpole with strings of lights. One end of each string of lights will be attached to the top of the flagpole, and the other end will be attached to the ground. Flagpole String of lights String of lights 15 ft WOOOOO00000000000UUUUU QO0Q000 H8 ft 8 ft Which measurement is closest to the length of one string of lights in feet? (c) 16 ft A 17 ft D 23 ft B 13 ft​

Answers

Answer:

the answer will be 17 ft

Step-by-step explanation:because if you use the pythagorean theorem you will get 17.

Answer:

C. 16

Step-by-step explanation:

1/3x - 8 = 32 *
pls help

Answers

Answer:

120

Step-by-step explanation:

1/3x-8=32

1/3x=32+8

1/3x=40

x=40/(1/3)

x=(40/1)(3/1)

x=120/1

x=120

Which expression is equivalent to 30c - 24d?

Answers

Answer:hmm 30c - 24d = 6d or 6c

Step-by-step explanation:

HELP ASAP WILL GIVE 30 points. A toy box measures 4 ft by 3 ft by 2 ft. Explain whether increasing
the height by four times, from 2 ft to 8 ft, would increase the volume
by four times.

Answers

Answer:

yes, the volume would be increased by 4

Step-by-step explanation:

the volume for a box is l x w x h

lets say l = 4, w = 3, and h = 2

this would give us a volume of 24

now calculate the new volume: l x w x 4h

4 x 3 x (4 x 2) = 96 which is 4 times bigger than 24

yes, it will increase the volume by four times.

2 x 3 x 4 = 24
8 x 3 x 4 = 96

(24 x 4 = 96)

If you think about it, you are essentially stacking four equal size boxes on top of each other, which combines is 4x the original box size.

Lance is an enthusiastic cyclist.

He uses an app on his phone to track each of his cycling sessions.

Below is shown some information about his last three.


In Lance’s last three cycling sessions.

(i) What was the shortest distance cycled?


(ii) What was the longest time that he cycled for?


(iii) Work out Lance’s cycling time.

Answers

Answer:

17.25 ; 1:01:13 ; 4 hours 47 minutes, 38 seconds

Step-by-step explanation:

From the picture attached :

The shortest distance cycled :

17.25 < 25.80 < 27.42

Hence, shortest distance cycled is : 17.25

Shortest cycling time :

1:01:13 < 1:50:05 < 1:56:20

Hence, shortest distance cycled is : 1:01:13

Total cycling time:

1:01:13 + 1:50:05 + 1:56:20

1 + 1 + 1 = 3 hrs

01 + 50 + 56 = 107 = 107/60 = 1 hr 47 minutes

13 + 05 + 20 = 38 seconds

Total cycling time :

(3 + 1 hr 47 minutes + 38 seconds) = 4 hours 47 minutes, 38 seconds

PLEASE HELP
I WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

The end behavior of a function describes the behavior of the graph of the function at the "ends" of the x-axis.

The given function is ⇒⇒⇒ f(x) = 2x³ – 26x – 24

the given equation has an odd degree = 3,

and a positive leading coefficient = +2

So, the end behavior of the given function

f(x) → +∞  as  x→+∞

f(x) → -∞  as  x→-∞

Katelin is the pastry chef at the Brown Palace Hotel. She is making scones for their afternoon tea. Her recipe serves 6 people, but she needs to make
enough for 50 servings. The recipe calls for cup of sugar. How many cups of sugar will she need in all?

Answers

9 is the answer
Hope it helps

The total number of cups required to make the recipe for 50 people will be equal to 8.3 cups.

What is an arithmetic operation?

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the provided instructions in the question,

The recipe is for 6 people in which 1 cup of sugar is required.

Total number of people = 50

Cup of sugar required for the recipe = 50/6 = 8.33 cups.

It means that 8.33 cups of sugar is required to make the recipe for 50 people.

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PLEASE HELP ME FOR THIS I NEED IT QUICK!!
The price of 6 packets of tea is same as the price of 4 packets of coffee. How many packets of tea are required to exchange 20 packets of coffee?

Answers

Answer:

The answer is 30

Step-by-step explanation:

Suppose the price per pack of tea is x and the price of coffee per pack is y

Then

[tex]6x = 4y \\ when \: 20y = 5 \times 4y = 5 \times 6x \\ = 30x[/tex]

We need 30 teabags to exchange for 20 coffee bags

the difference of products of a fraction with 5 whole 7/8 and 3 whole 3/4 is 11.Find the fraction.​

Answers

Answer:

88/17

Step-by-step explanation:

5x · 7/8 - 3x · 3/4 = 11

35x/8 - 18x/8 = 17x/8

17x/8 = 11

17x = 88

x = 88/17

heres your daily dos of math
y = -4 - (-11)

Answers

Answer:

The answer is 7............

Answer:

y = -4 - (-11)

Since all the variables and constants are together on each side, just solve as is.

y = -4 - (-11)

y = 7

Step-by-step explanation:

hope this helps:)

A store manager combines 2 lb of trail mix that contains some cashew nuts with 30 lb
of trail mix that is 20% cashews. The result is a trail mix that is 25% cashews. What is the concentration of cashews in the first mixture?

Answers

Answer:

100%

Step-by-step explanation:

Let  p = percent of cashews in first mix

2p = lb. of cashews in first mix

30(.20) =  6 = lb. of cashews in second mix

32(.25) =  8 = lb. of cashews in the combined mix

So,

lb. of cashews in first mix +  lb. of cashews in second mix = lb. of cashews in the combined mix

2p + 6 = 8

2p = 2

p = 1 = 100%

Answer:

100%

Step-by-step explanation:

I solved it and it was correct lol

What is the slope? ???????

Answers

Answer:

1/2

Step-by-step explanation:

Slope=rise/run. Slope=1/2

If cos(t) =

1
2
and tan(t) < 0, find sin(t) and cos(-t)

Answers

Answer:

cos theta=-1/2

theta=cos-¹(-1/2)=120

tan theta=tan 120=-√3

sin theta=sin120=√3/2

cos(- theta)=cos theta=cos 120=-1/2

Joe is moving out of his apartment. The elevator can carry, at most, 2500 poundsHe has identical boxes that are each 40 pounds. If Joe weighs 160 pounds, how many boxes can he put on the elevator ?​

Answers

Answer:

58

Step-by-step explanation:

first we want to write an equation and that equation would be

2500=40x+160 now we solve for x

step 1 subtract 160 from each side

2340=40x

then we divide each side by 40

x=58.5

because he cant bring half a box he can only bring 58

1. Given A = πrl, make l the subject of the formula.
2. Given P =RT/V, make T the subject of the formula.

3. Given I =PRT/100, make T the subject of the formula.

4. Given V =πd^2h/4, make d the subject of the formula.
5. Given V = u + at, make t the subject of the formula.
6. Given T =A/R−r, make r the subject of the formula.

7. Given Q =R(B−T)/B, make B the subject of the formula.

8. Given P − mg =Mv^2/r, make:
a) v the subject of the formula.
b) m the subject of the formula.
9. Given m2 =a+b/a−b, make:
c) b the subject of the formula.
d) a the subject of the formula.
10. Given A =h(a+b)/2,express b as the subject of the formula.

11. R = √pm−q/q+cm, make m the subject of the formula.

12. Given n =1/d^2,make d the subject of the formula.

13. V = √a^2−x^2, make x the subject of the formula.

14. Given that P = r^2h, make h the subject of the formula.

15. If =brt/v−b, make r the subject of the formula.

Answers

Answer:

1. l= A/πr

2. T = PV/R

3. T = 100l/PR

5. t = v/u + a

HELP PLEASEEE!!!!!!! The population in Smalltown in 2010 was 56,382 people and is growing exponentially at a rate of 1.2 percent. Which of the following equations defines the population t years after 2010?

a. P= 56,382(1+0.12)^t
b. P= 56,382(1+0.012)^t
c. P= 56,382e^0.012t
d. P= 56382e^1.2t

Answers

Answer:

b. P = 56,382(1+0.012)^t

The equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

The population P after 2010 is an exponential growth function of the form:

[tex]P = P_{0} (1 + r)^t[/tex]

where P₀ is the initial population,

r is the annual growth rate as a decimal, and

t is the time in years.

Byu given information P₀ = 56,382,

r = 0.012, and

t is the number of years after 2010.

The equation that defines the population in Smalltown t years after 2010 is:

[tex]P = 56,382(1 + 0.012)^t[/tex]

Hence, equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]

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Which of the following scenarios represents a possible impulse purchase?

Tim budgets for his scooter and decides to purchase the scooter through a dealership offering 0% interest to first time buyers.

Tim purchases the scooter of his dream by financing the entire cost of the scooter with a high interest bank loan.

Tim researches interest rates on the purchase of a new scooter before deciding against making the purchase.

Tim researches interest rates on the purchase of a new scooter before deciding to make a purchase.

Answers

Answer:

Tim purchases the scooter of his dream by financing the entire cost of the scooter with a high interest bank loan.

Step-by-step explanation:

I had the same question and got it correct. Hope I helped. :)

Answer:

Tim purchases the scooter of his dream by financing the entire cost of the scooter with a high interest bank loan.

Step-by-step explanation:

He did not weigh all the assets

A class of 195 students went on a field trip. They took 19 vehicles, some cars and some buses. If each car
holds 5 students and each bus hold 25 students, how many buses did they take?

Answers

Answer:

Number of cars = 14

Number of buses = 5

Step-by-step explanation:

Let

x = number of cars

y = number of buses

x + y = 19 (1)

5x + 25y = 195 (2)

From (1)

x = 19 - y

Substitute x = 19 - y into (2)

5x + 25y = 195

5(19 - y) + 25y = 195

95 - 5y + 25y = 195

- 5y + 25y = 195 - 95

20y = 100

y = 100/20

y = 5

Substitute y = 5 into (1)

x + y = 19

x + 5 = 19

x = 19 - 5

x = 14

Number of cars = 14

Number of buses = 5

Based on the number of vehicles and the number that each vehicle can take, the number of buses required is 4 buses.

There are 19 vehicles which take 5 students each. This means that the number of kids entering buses will be:

= 19 x 5

= 95 students

The students entering buses will be:

= Total number of students - Kids in vehicles

= 195 - 95

= 100 students

If each bus takes 25 students, the number of buses required is:

= 100 students / 25

= 4 buses

In conclusion, 4 buses were taken.

Find out more at https://brainly.com/question/15806057.

WILL MARK BRAINLIEST PLSS HELPPP.Triangle RST has vertices R(–1, 1), S(3, 1), and T(3, –4). What
are the coordinates of the image of RST after a translation 4 units to the left and 2 units down?

Answers

Answer:

first choice

Step-by-step explanation:

what is sales tax and tip

Answers

Answer:

sales tax is a percent the goverment takes from the item you bought and tip is the money you can give to a worker

Step-by-step explanation: you give a tip to a waitress at a restraunt. and sales tax is just a small percent the goverment claims from the item

A grocery store sells 3 pounds of Granny Smith apples for $6.27. It sells 5 pounds of Red Delicious apples for $9.95. Which costs more per pound?​

Answers

Granny Smith apples cost more.



The Granny Smiths apples sells it for 2.09 per pound. Red delicious sells it for 1.99 per pound.


Step by step
Divide 6.27 by 3 you’ll get 2.09
Divide 9.95 by 5 you’ll get 1.99
And 2.09 is greater then 1.99 so Granny Smith sells it for more


Hope this helps

4(x+y) distributive property

Answers

I think it is:
4(x+y)
=4x+4y

Hopefully this helps :)

Find the area of the following
triangle:
5.7 cm
4 cm
13 cm
A= [?] cm

Answers

Answer:

26 cm

Step-by-step explanation:

To find the area of a triangle, you must use the formula A=1/2xbxh.

For this triangle, the base is 13 and the height is 4. So, multiply the 13 by 4 to get a total of 52, and then divide by 2 to get your final answer of 26.

Pls help! Correct answers for brainliest!

1. The sum of three consecutive numbers is 102. What is the smallest of the the three numbers?

2. The sum of three consecutive numbers is 69. What is the smallest of the three numbers?

3. Keith bought a soft drink for 4 dollars and 8 candy bars. He spent a total of 44 dollars. How much did each candy bar cost?

4. Tim bought 4 new baseball cards to add to his collection. The next day his dog ate half of his collection. There are now only 43 cards left. How many did Tim start with?

Answers

Answer: 1. 33 , 2. 21 , 3. $5.00 , 4. 39.

Step-by-step explanation:

4. Let the original number of baseball trading cards in Tim's possession be

x

An equation to arrive at the number will be:

x

+

9

2

=

24

This is because half the collection AFTER adding

9

new cards is

24

(the other half was eaten by his dog).

Multiply both sides by

2

.

x

+

9

=

48

Subtract

9

from both sides.

x

=

39

find this ok. do not wrong answers I will report it​

Answers

Answer:

your answer will be 13/5(x-5)

Step-by-step explanation:

hope it helps bye

Answer: 13 /5x−25

Step-by-step explanation: 8 /5x−25 − 6 /30−6x

-78x+390 /−30x2+300x−750

−13x+65 /−5x^2+50x−125

13(−x+5) /5(−x+5)(x−5)

13 /5x−25

PLS HELP MEEEEE REEEEEEE

Answers

Answer:

$954.78

Step-by-step explanation:

Since it increases by 8.5%, all you have to do is multiply 879.98 by 1.085.

879.98 * 1.085 = $954.7783 = $954.78 (you always have to round to two decimal places with money)

In ΔQRS, the measure of ∠S=90°, QR = 71 feet, and SQ = 50 feet. Find the measure of ∠R to the nearest degree.

Answers

Answer:44.767=45

Step-by-step explanation:

sinR=

71

50

R=\sin^{-1}(\frac{50}{71})

R=sin

−1

(

71

50

)

R=44.767\approx 45^{\circ}

R=44.767≈45

Answer:

45

Step-by-step explanation:

What two methods are the best choices to factor this express
4x2 - 26x + 30
Factor by grouping.
Factor out the GCF.
o Use the difference of squares rule.
Use the perfect square trinomial rule.

Answers

Correct method to factor this expression are:

Factor by grouping.

Factor out the GCF.

What is factorization?

A number or other mathematical object is factorised or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. The four primary methods of factoring are the Grouping technique, the Difference in Two Squares, the Sum or Difference in Cubes, and the Greatest Common Factor (GCF). Numerous issues might be resolved by using the factoring of integers. Similar to this, factoring is an extremely effective method in algebra that is utilised at all levels. It offers a common approach to simplifying complex statements as well as, of course, solving quadratic equations.

The equation becomes:

= 4x² - 26x + 30

= 2 (2x² - 13x + 15)

= 2 (2x² - 10x - 3x + 15)

= 2 {2x (x - 5) - 3 (x - 5)}

= 2 (2x - 3) (x - 5)

Thus, the two methods are the best choices to factor this express are:

Factor by grouping.

Factor out the GCF.

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Help me number 4 asap

Answers

Answer:

B

Step-by-step explanation:

Answer:

the answer is b. -4y+1

Step-by-step explanation:

b -4y+1

Can yall help me, please? I Will give brainilest, however u spell it
Which of these best describes π?
The ratio of the radius of a circle to its diameter
The radius of a circle times 3.14
The ratio of the circumference of a circle to its diameter
The ratio of the diameter of a circle to its radius

Answers

Answer:

B. The ratio of the circumference of a circle to its diameter.

Step-by-step explanation:

Pie is the circumstance of a circle.

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