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notka56 [123]
2 years ago
9

Cheryl plans to bake cookies tomorrow and needs to purchase chocolate chips and pecans for no more than $25 total. Chocolate chi

ps are $2 per pound and pecans are $5 per pound. Which of the following graphs correctly represents the scenario?
Mathematics
1 answer:
boyakko [2]2 years ago
6 0

The inequality that correctly represents this scenario is given as follows:

2x + 5y \leq 25

The graph is given at the end of the question.

<h3>What is a system of inequalities?</h3>

A system of inequalities is when two or more variables are related, and inequalities are built to find the values of each variable.

In this problem, the variables are given as follows:

  • Variable x: number of chocolate chips purchased.
  • Variable y: number of pecans sold.

Chocolate chips are $2 per pound and pecans are $5 per pound. She wants to spend at most $25, hence:

2x + 5y \leq 25

More can be learned about a system of inequalities at brainly.com/question/3656398

#SPJ1

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What is this question pls?
beks73 [17]

Answer:

58 degrees

Step-by-step explanation:

Diagonals in a rhombus bisect each other perpendicularly.

=> mXYW = 90 degrees

and mXWY = 32 degrees

Because XYW is a triangle

=> mWXY = 180 - 90 - 32 = 58 degrees

5 0
3 years ago
For what values of a and b are x+1 and x+2 factors of x3 – ax2 – bx –8? Write down the other factor.
emmainna [20.7K]
<h2>For a = 1 and b = 10 x+1 and x+2 factors of  x³-ax²-bx-8 = 0</h2><h2>Other factor is (x-4)</h2>

Step-by-step explanation:

We have

                 x³-ax²-bx-8 = 0

Its factors are x+1 and x+2

That is x = -1 and x = -2 are its roots

Substituting x = -1

               (-1)³-a(-1)²-b(-1)-8 = 0

                -1 - a + b - 8 = 0

                      b - a = 9 ---------------------eqn 1

Substituting x = -2

               (-2)³-a(-2)²-b(-2)-8 = 0

                -8 - 4a + 2b - 8 = 0

                      2b - 4a = 16 ---------------------eqn 2

eqn 1 x -2

                      -2b + 2a = -18 ---------------------eqn 3

eqn 2 + eqn 3

                      -2a = -2

                          a = 1

Substituting in eqn 1

                        b - 1 = 9

                         b = 10

For a = 1 and b = 10,  x+1 and x+2 factors of  x³-ax²-bx-8 = 0

The equation is  x³-x²-10x-8 = 0

Dividing with x + 1 we will get

                   x³-x²-10x-8 = (x+1)(x²-2x-8)

Dividing (x²-2x-8) with x + 2 we will get

                  x²-2x-8 = (x+2)(x-4)

So we have

               x³-x²-10x-8 = (x+1)(x+2)(x-4)

Other factor is (x-4)

8 0
3 years ago
Simplify the following expression. 12a^3b^6c^5/3a^2b^4c^5
Ne4ueva [31]
Is this how your problem is written (see attached image) If so, the answer is A. 4ab^2
3 0
4 years ago
Read 2 more answers
What number between 67 and 113 is a multiple of 4,10,20
Debora [2.8K]

Answer:

80 and 100 both qualify.

Step-by-step explanation:

5 0
3 years ago
Please help! A car traveled 100 miles on 5 gallons of gas. How far could that same car travel on 9 gallons of gas?
artcher [175]

Answer: 180 miles

Step-by-step explanation:

100 divided by 5 = 20. So, the car travels 20 miles with one gallon. Then, you do 20 x 9 = 180. So, the car can travel 180 miles on 9 gallons of gas.

I hope this helps!!! :)

4 0
3 years ago
Read 2 more answers
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