1A. Nayeli wants to earn some extra money so she sells lemonade for $2 per cup and orange juice for $3 per cup. She sells a total of 100 cups and earns $240. Later she wants to find the number of cups of lemonade and the number of cups of orange juice she sold. Which system of equations below represents this situation?
1. 2x + 3y = 240 AND x + y = 100
2. 2x + 3y = 100 AND x + y = 240
3. x + 2y = 100 AND 3x + y = 240
4. 2x + 100 = 240.AND x = 3y


1B. In the context of the problem, what does your solution (x,y) mean? Fill in the blanks for the solution sentence below: Nayeli sold ____ cups of lemonade and ____ cups of orange juice. Write your answer in this form: 20, 40

Answers

Answer 1

Answer:

1. 2x + 3y = 240 AND x + y = 100

Nayeli sold 60 cups of lemonade and 40 cups of orange juice.

Step-by-step explanation:

Let

Number of cups of lemonade sold = x

Number of cups of orange juice sold = y

The system of equation could be represented by:

2x + 3y = 240 (1)

x + y = 100 (2)

from (2)

x = 100 - y

Substitute into (1)

2x + 3y = 240 (1)

2(100 - y) + 3y = 240

200 - 2y + 3y = 240

- 2y + 3y = 240 - 200

y = 40 cups

Substitute y = 40 into (2)

x + y = 100 (2)

x + 40 = 100

x = 100 - 40

x = 60 cups

Nayeli sold 60 cups of lemonade and 40 cups of orange juice.

(x, y) = (60, 40)


Related Questions

two parallel roads, Elm Street and Oak Street, are crossed by a third, Walnut Street, as shown in diagram. The value of X is​

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Answer:

x=16

Step-by-step explanation:

2x + 33 = 5x - 15 (Alternate Interior Angles)

33 + 15 = 5x - 2x

48 = 3x

x= 48/3 = 16

(5x-15)°+ (2x+33)°= 180°
+15° +15°
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3x = 132°
divide by 3
x= 44

Find the area of the segment shown. The m ∠AOB=110°. Round your answer to the nearest tenth of a square inch.

Answers

Answer: Area of segment= 102.2 in^2

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Answer:

Typing M on this question

Answer:m

Step-by-step explanation:

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Answer:

35x4

Step-by-step explanation:

do the equation in the parenthesis to simplify it

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Answer:

A

Step-by-step explanation:

Answer: A = -2/3

Step-by-step explanation:

To find the slope use the slope formula

y2 - y1  over

x2 - x 1

I suggest learning the slope formula if you'll keep getting h.w like this.

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Z^2-9z+20
BOX METHOD WITH STEPS PLZ!!

Answers

Answer:

(z−4)(z−5)

Step-by-step explanation:

We need two numbers that...

Add together to get -9

Multiply together to get 20

-4 and -5 do just that!

So you fill in the blanks and get (z−4)(z−5)

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Help!!!!! Also shoe the work plz!

Answers

Answer:

[tex]h=\frac{15.625}{pi}[/tex]

h ~ 4.974

Step-by-step explanation:

The formula for the volume of a cylinder is;

[tex](pi)(r^{2})(h)=V[/tex]

Where [tex](pi)[/tex] represents the value, [tex]3.1415...[/tex]

[tex](r)[/tex] represents the radius of the given cylinder. In other words, if one were to take a base (the flat side in the case of the cylinder) of the figure. The distance from the center to a point on the outside of the circle is the radius.

[tex](h)[/tex] represents the height of the object. In other words the distance between the two bases of the cylinder.

[tex]V[/tex] represents the volume, in other words, the space that the object takes up.

In this problem, one is given the diameter of the cylinder and the volume. One is asked to find the area.

The diameter of a circle is the distance between two opposite sides of the circle. The diameter will always pass through the center of the circle. To find the radius when given the diameter, one will divide by 2.

To solve this problem, one will substitute in the given information and solve for the height using inverse operations.

[tex](pi)(r^{2})(h)=V\\\\(pi)((\frac{8}{2})^{2})(h)=250\\\\(pi)(16)(h)=250\\\\(pi)(h)=15.625\\\\(h) = \frac{15.625}{pi}\\\\h- approx. 4.974[/tex]

A middle school took all of its 6th grade students on a field trip to see a symphony at

a theater that has 4500 seats. The students filled 2205 of the seats in the theater.

What percentage of the seats in the theater were filled by the 6th graders on the trip?

Answers

Answer:

49%

Step-by-step explanation:

to get the percentage you put the number of occupied seats over total number of seats and multiply it by 100 over 1

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Answer: the answer is d. 7.2 feet

Step-by-step explanation: hope this helps!

A rectangular plant holder is 8 inches long 7 1/2 inches wide and 5 inches high. How much potting soil can the planter hold

Answers

Answer:

[tex]300[/tex]

Step-by-step explanation:

[tex]8 \times 7 \frac{1}{2} \times 5 \times = 300[/tex]

The rectangular plant can hold the volume of potting soil is 300 cubic inches.

What is a cuboid?

A cuboid is a three-dimensional shape in which all sides are rectangles. A cuboid has 6 faces, 8 vertices, and 12 edges. All the angles formed at the vertices of a cuboid are right angles. The opposite edges are parallel to each other.

For the given situation,

The rectangular plant holder is in the shape cuboid.

Length of the rectangular plant,l = 8 inches

Width of the rectangular plant,w = 7 1/2 = 15/2 inches

Height of the rectangular plant,h = 5 inches

The formula of volume of cuboid is

[tex]V=lwh[/tex]

⇒ [tex]V= (8)(\frac{15}{2} )(5)[/tex]

⇒ [tex]V=300[/tex]

Hence we can conclude that the rectangular plant can hold the volume of potting soil is 300 cubic inches.

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https://brainly.com/question/46030

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pls tell me which to pick (a,b,c,or d)

Answers

Answer:

B (Y, N, N)

Step-by-step explanation:

a) y = 1/3x, so each value satisfies it. This is true.

b) If "a" is "Y" then b has to be no

c) 1 * 11 = 11

2 * 2 = 22

3 * 5 = 15

The last equation does not follow the rules for the previous two equations, so it is no.

Thus, the answer is B (Y, N, N)

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Answers

Answer:

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Step-by-step explanation:

8xy+4xy^2
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Answers

Answer:

4xy(2+y)

Step-by-step explanation:

Factor  4 x y  out of  8 x y .

[tex]4xy(2)+4xy^2[/tex]

Factor 4xy out of [tex]4xy^2[/tex]

4xy(2) + 4xy(y)

Factor  4 x y  out of  4 x y ( 2 )  +  4 x y ( y ) .

4xy(2+y)

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A tennis ball has a diameter of 2.7 inches. What is the approximate volume of the tennis ball?
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Answers

Answer:c

Step-by-step explanation:

I buy a T.V for 10,000 and sell it at profit of 20%. how much do I get​

Answers

Answer:

12,000

Step-by-step explanation:

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Profit percent = 20%

Profit = Profit% of C.P.

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Hence, the answer is Rs. 12,000 on selling the T.V.

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Answers

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Answers

Answer:

700%

Step-by-step explanation:

504/72 = 7

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Provide an appropriate response.
12) When tossing a fair coin, which of the following events is more unlikely?
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A) A
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Answer:

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Step-by-step explanation:

can yall do me a favor, i know this random but i got played by someone so can u spaam his ig, acc name is sturdyyyyy_ just spam his comments called him a cheater and tell him he weird. please. females help a person out.

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okkkkk

Step-by-step explanation:

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Answer:

>

Step-by-step explanation:

Answer:

You would use >

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Answers

Answer:

24 miles per gallon

Step-by-step explanation:

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Answer:

The rate is 24 miles per 1 gallon

Step-by-step explanation:

If 9 gallons = 216 miles, divide both sides by 9

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Answer:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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can i get brainliest please? thanks!

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A bicycle store costs ​$2700 per month to operate. The store pays an average of ​$60 per bike. The average selling price of each bicycle is ​$120. How many bicycles must the store sell each month to break​ even?

Answers

Answer:

The answer would be 45

Step-by-step explanation:

120-60=60 which is how much he gets back from selling a bike. divide 2700/60=45 bicycles that have to be sold.

April wants to use 30% of her land for planting trees. How many acres, to the nearest tenth, does she want to use to
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Answers

Answer:

28.5 acres

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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