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PIT_PIT [208]
3 years ago
11

Find the slope of the line containing the pair of points? (-4,11) and (3,-6)

Mathematics
1 answer:
Nina [5.8K]3 years ago
3 0

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

m=(-6-11)/(3-(-4))

m=(-17)/(3+4)

m=-17/7

Answer = -17/7

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Sally's summer punch recipe is a combination of lemonade and fruit punch. Sally uses 6 cups of lemonade for every 8 cups of frui
andre [41]

Answer:

August made the recipe using the <em>incorrect</em> ratio

Step-by-step explanation:

* Lets explain how to solve the problem

- Sally's recipe is a combination of lemonade and fruit

- Sally uses 6 cups of lemonade for every 8 cups of fruit

∵ Sally uses 6 cups of lemonade for every 8 cups of fruit

∴ The ratio of sally recipe is 6 : 8

- Simplify the terms of the ratio by divide them by 2

∴ The ratio of sally recipe is 3 : 4

- August made a recipe with 35 cups of liquid total

- He made 15 cups of them lemonade

∵ The total number of cups August made is 35

∵ 15 of them are lemonade

∴ The number of fruit cups = 35 - 15 = 20 cups

∵ August mad 15 cups of lemonade for every 20 cups of fruit

∴ The ratio of August recipe is 20 : 15

- Simplify the terms of the ratio by divide them by 5

∴ The ratio of August recipe is 4 : 3

∵ The ratio of Sally recipe is 3 : 4

∵ The ratio of August recipe is 4 : 3

∵ The ratio 3 : 4 ≠ the ratio 4 : 3

∴ August made the recipe using the <em>incorrect</em> ratio

6 0
3 years ago
Read 2 more answers
A computer simulation tossed a 10-faced die 5 times. How many possible outcomes exist?
Sever21 [200]
The answer to the problem wherein a computer simulation tossed a 10-faced die 5 times and you have to compute for the possible outcomes is simple. The answer is <span>18,144, 000 possible outcomes (if it's a combination). I got this through simply getting the 10! (3,628,800) and multiplying it 5.
 
However, if order is important (permutation), the number of possible outcomes is is </span>30240. 
8 0
3 years ago
Divide the following polynomials, then place the answer in the proper location on the grid. Write answer in descending powers of
Varvara68 [4.7K]
Let's rewrite the given expression correctly:
 (2y3 + 3y2 - 4y - 5) / (y + 1)
 Dividing the expression between y + 1 we have:
 2y2 + y - 5
 We can check the result:
 (2y2 + y - 5) * (y + 1)
 = (2y3 + y2 - 5y + 2y2 + y - 5)
 = (2y3 + 3y2 - 4y - 5)
 Division OK.
 Answer:
 
The result of the division is:
 
2y2 + y - 5
7 0
3 years ago
A line has a slope of 2/3 and a y-intercept of −5. Which equations represent the line? Choose all answers that are correct. (MUL
marin [14]
A.         -2x + 3y = -15
    -2x + 2x + 3y = 2x - 15
                     3y = 2x - 15
                      3          3
                       y = ²/₃ - 5
A is correct.

B. y = ²/₃ - 5
B is also correct.

C. 6y = 4x - 30
     6           6
       y = ²/₃x - 5
C is also correct.

D. y + 3 = ²/₃(x - 3)
     y + 3 = ²/₃(x) - ²/₃(3)
     y + 3 = ²/₃x - 2
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           y = ²/₃x - 5
D is also correct.

The answer to the problem is A, B, C, and D.
7 0
3 years ago
What value makes the two expressions equivalent?<br> 45x + 72y<br> __(5x + 8y)
zimovet [89]

Answer:

9

Step-by-step explanation:

This is because of the distributive property.

The outside number is multiplied by each inside number.

So, if it's 9(5x+8y), then do 9*5x which is 45x and 9*8y which is 72y.

3 0
3 years ago
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