Find the slope of the line that goes through the points (-15,70) and (5,10) and (2,7) and (6,3).

Answers

Answer 1
Answer:

(5,10)(2,7)

Rise/run = 10-7/5-2 = 3/3 = 1


Therefore, the slope of the line is 1.

Answer 2
Answer: My answer was right I looked it up why you delete it?!

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What is .135 repeating as a fraction

Answers

Step 1:  0.135 = 135/ 1000
Step 2: simplify 135/1000 =  27/200

Giuseppi's Pizza had orders for $931.00 of pizzas. The prices were $21 for a large pizza, 514 for a medium pizza, and $7 for a small pizza. The number of large pizzas was two less than four times the number of medium pizzas. Thenumber of small pizzas was three more than three times the number of medium pizzas. How many of each size of pizza were ordered?

Answers

Answer:

Number of Large Pizzas: 30

Number of Medium Pizzas: 8

Number of Small Pizzas: 27

Step-by-step explanation:

L = # of large Pizzas

M = # of medium Pizzas

S = # of small Pizzas

Amount:

L = 4M - 2

S = 3M + 3

Cost:

21L + (I'm assuming you meant 14) 14M + 7S = 931

Plus in the Amounts to the Cost:

21(4M - 2) + 14M + 7(3M + 3) = 931

84M - 42 + 14M + 21M +21 = 931

Combine like terms:

119M - 21 = 931

Isolate the Variable:

119M - 21 + 21 = 931 + 21

119M = 952

119M/119 = 952/119

M = 8

Plug it into the Amount equations:

Large: L = 4(8) - 2

L = 32 - 2

L = 30

Small: S = 3M + 3

S = 3(8) + 3

S = 24 + 3

S = 27

Check your work (plug the values into Cost.):

21(30) + 14(8) + 7(27) = 931

630 + 112 + 189 = 931

931 = 931

Final answer:

The number of medium pizzas ordered was 10. Hence, based on the given relationships, the number of large pizzas was 38 and the number of small pizzas was 33.

Explanation:

To solve this problem, really, we are using three algebraic expressions that represent the total cost, the relationship between the large and medium pizzas, and the relationship between the small and medium pizzas.

We can define M as the number of medium pizzas, L as the number of large pizzas, and S as the number of small pizzas. We can then set up the following equations based on the problem:

  1. $21L + $14M + $7S = $931
  2. L = 4M - 2
  3. S = 3M + 3

We can substitute equations 2 and 3 into equation 1 to get a single equation in terms of M:

$21(4M-2) + $14M + $7(3M+3) = $931

Which simplifies to:

93M = 931

Then, M=10, hence, the number of medium pizzas is 10, number of large pizzas (4M-2) is 38, and the number of small pizzas (3M+3) is 33.

Learn more about Algebra here:

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Cheese sticks that were previously priced at 5 for $1 are now four for $1 find the percent decrease in the number of cheese sticks you can buy for $1

Answers

Well, if you bought 10, it would be $2, but due to the decreasage, if you bought 8 it would be $2. The prrcantage decrease should be 20%.

Decimal in tenths that is less than 2.42 but greater than 2.0

Answers

2.1, 2.2, 2.3, or 2.4. Any of those should work

What is the value of 56 tens

Answers

tens = 10
56 x 10 = 560

56 tens
=56+56+56+56+56+56+56+56+56+56

= 56 x 10

=560

Write the sum as a product of the gcf of the two numbers 75+90

Answers

Solutions 

75:    3 5 5

90:   2  3 3 5 

GCF:    3 * 5

= 15