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marissa [1.9K]
2 years ago
13

Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes ca

Mathematics
1 answer:
alexgriva [62]2 years ago
4 0

Answer:

5x + 3y = 95

8x + 6y = 170

x = 10 ; y = 15

Step-by-step explanation:

Let :

x = pack of juice boxes

y = pack of water bottles

Pack of juice box = $5

Pack of water bottles = $3

Amount of money spent :

5x + 3y = $95

Number of drinks purchased :

8x + 6y = 170

Using both equations ;

5x + 3y = 95 - - - (1)

8x + 6y = 170 - - - (2)

Multiply (1) by 6 and (2) by 3

30x + 18y = 570

24x + 18y = 510

Subtract :

6x = 60

x = 60 / 6

x = 10

Put x = 10 in (1)

5(10) + 3y = 95

50 + 3y = 95

3y = 95 - 50

3y = 45

y = 45 / 3

y = 15

x = 10 ; y = 15

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Answer:

Option A

Step-by-step explanation:

<u>Given equation is</u>

=> 3y = 6x + 3

<u>In slope-intercept form, it becomes</u>

=> 3y = 3(2x+1)

=> y = 2x+1

So, Slope = m = 2

<u><em>Parallel lines have equal slope, So any line parallel to the above line would have its slope equal to 2</em></u>

=> Line parallel to 3y = 6x + 3 is y = 2x + 10

3 0
3 years ago
What is an equation of the line that passes through the points (4, -1) and<br> (-8, –7)?
Andreas93 [3]

Answer:

y=1/2x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-(-1))/(-8-4)

m=(-7+1)/-12

m=-6/-12

m=1/2

y-y1=m(x-x1)

y-(-1)=1/2(x-4)

y+1=1/2x-4/2

y=1/2x-2-1

y=1/2x-3

5 0
2 years ago
5 ounces of potatoes produce about 20 calories. What is the unit rate in <br> calories per ounce?
NikAS [45]

Answer:

4 calories per ounce.

Step-by-step explanation:

20/5 = 4

7 0
2 years ago
Read 2 more answers
The librarian noticed that 60% of seventh graders checked out fantacy books. About how many of 240 seventh graders would check o
ehidna [41]

Answer:

The correct answer is 144.

Step-by-step explanation:

The librarian noticed that 60% of total seventh graders checked out fantasy books from the library.

Total number of seventh graders is given to be 240.

Number of seventh grade students who checked out fantasy books = 60% of 240 = 0.6 × 240 = 144.

Thus out of 240 seventh graders 144 of them would check out  a fantasy book from the library.

4 0
3 years ago
What is the median of the following string of values?<br>16, 95, 3, 37.97. 13, 27.42, 64, 14​
liubo4ka [24]

Answer:

21.71

Step-by-step explanation:

1) you need to order then by the size

      3, 13, 14, 16, 27.42, 37.97 ,64, 95

2) if there is an odd amount of numbers then the median would be the center term. but if it an even number then you add the two middle terms together and divide them by 2.

     16+27.42= 43.42

     43.42 divided by 2=21.71

Hope this helped

4 0
3 years ago
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