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Naya [18.7K]
2 years ago
14

Y = 2(6 + 1) + 5(3 + 2)

Mathematics
1 answer:
never [62]2 years ago
6 0

Step-by-step explanation:

According to PEMDAS parentheses are first.

2(6+1) can be simplified to 12+2.

5(3+2) can be simplified to 15+10

Add these two together.

12+2+15+10

14+15+10

29+10

y=39

Note - when you have something like this in math 2(6+1) it means you need to do 2 x 6 and 2 x 1

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In order to raise money for holiday gifts for your family, you are planning on starting a dog walking and car wash business. You
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Answer:

Part 1) see the explanation

Part 2) see the explanation

Part 3) see the explanation

Part 4) The graph in the attached figure

Part 5) see the explanation

Step-by-step explanation:

Part 1) Assign a variable to represent the number of hours that you will spend dog walking in November. Write an expression to represent the amount of money you need to earn while dog walking

Let

x ----> the number of hours spent dog walking in November

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12x=600

solve for x

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Part 2) Assign a variable to represent the number of hours that you will spend washing cars in November. Write an expression to represent the amount of money you need to earn while washing cars.

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Part 3) Write an algebraic model using inequalities that represents the total amount of money earned by dog walking and washing cars during the month of November.

Let

x ----> the number of hours spent dog walking in November

y ----> the number of hours spent washing cars in November

we know that

You need to earn at least $600 during the month of November

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12x+18y\geq 600

Part 4) Graph the algebraic model in the first quadrant only.

we have

12x+18y\geq 600

using a graphing tool

The solution is the shaded area

see the attached figure N 1

Part 5) Use the graph and algebraic model to answer the following:

a) Why does the graph exist only in the first quadrant?

Because the number of hours cannot be a negative number

b) Are you able to earn exactly $600? Use the solutions of the system to find possible combinations of outcomes that equal exactly $600. Where do all of the combinations occur in the graph?

Yes its possible to earn exactly $600. All the combinations of outcomes that equal exactly $600 occur in the solid line 12x+18y=600

c) Is it possible to earn more than $600? Use the solutions of the system to find possible combinations of outcomes that are greater than $600. Where do all of the combinations occur in the graph?

Yes its possible to earn more than $600. All the combinations of outcomes that are greater than $600 occur above the solid line 12x+18y=600

d) If you work for 10 hours walking dogs and 10 hours washing cars, will you have earned enough money for the holiday gifts?

we have the ordered pair (10,10)

substitute in the inequality

12(10)+18(10)\geq 600

300\geq 600 ----> is not true

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You must not have earned enough money for holiday gifts.

e) Where does 10 hours walking dogs and 10 hours washing cars fall on the graph? Is this location representative of the solution to the algebraic model?

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