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Elenna [48]
3 years ago
12

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
Mathematics
1 answer:
scZoUnD [109]3 years ago
6 0

Answer:

1

Step-by-step explanation:

let x represent lemonade and y represent orange juice

the total earning is $240. 2x+3y=240 allows you to find the number of each cup you need to sell to get $240.

the total number of cups sold is 100. x+y=100 gives you the other equation necessary to find the number of cups of each sold if you told a total of 100

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2. Graph x < 8 and x > -1.
dimulka [17.4K]

Answer:

I'll try my best in explaining the steps.

Considering both signs are greater than and less than sign, its an open circle.

For the first equation, you would have an open circle, basically one that isn't colored in, on 8 on the number line. The arrow would be pointing to the left because the equation is telling us numbers that are less than 8.

For the second equation, you would have an open circle, basically one that isn't colored in, on -1 on the number line. The arrow would be pointing to the right because the equation is telling us numbers that are greater than -1.

Step-by-step explanation:

7 0
3 years ago
What is the y intercept of x=14
Sophie [7]

Answer:

Step-by-step explanation:

x=14 is a vertical line with undefined slope

It has no y intercept and has only x intercept of 14.

6 0
3 years ago
What is equal to n in this equation
IRISSAK [1]

Answer:

n = -45

Step-by-step explanation:

(n-5) /10 = -5

Multiply each side by 10

(n-5) /10 *10= -5*10

n-5 = -50

Add 5 to each side

n-5+5 = -50+5

n = -45

4 0
3 years ago
You are making a scaledrawing of a room using a scale of1 inch : 4 feet.a. The room is 14 feet by 18 feet. Find itsdimensions in
lilavasa [31]

Answer:

a. 3.5 inches by 4.5 inches

b. 1.5 inches

c. Divide 48 inches by 2 and multiply 1 inch by 12 to get a scale of 1 : 2

Step-by-step explanation:

A scale is a representative fraction showing the relationship between length on a drawing and actual length.

i.e scale = \frac{length on a drawing}{actual length}

 scale = 1 inch : 4 feet

a. The dimensions in the drawing can be determined as;

1 inch : 4 feet implies an inch on the drawing equates 4 feet on actual length.

\frac{14}{4} = 3.5 inches

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Dimensions on drawing is 3.5 inches by 4.5 inches.

b. The length of the sofa is 6 feet, its length on the drawing is;

\frac{6}{4} = 1.5 inches

c. To enlarge the scale so as to double the dimensions of the drawing, we have;

12 inches = 1 feet

4 feet = 4 × 12 = 48 inches

given scale = 1 inch : 48 inches

Thus, divide 48 inches by 2 and multiply 1 inch by 12.

scale = 12 inch : 24 inch

scale = 1 : 2

To double the dimensions of the drawing, the scale required is 1 : 2. This implies that a unit measure on the drawing is synonymous to 2 measures on the actual reading.

6 0
4 years ago
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Answer:

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Step-by-step explanation:

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Hope this helped

:)

5 0
3 years ago
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