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Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The
bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can
only make up to 40 pieces of jewelry. Which inequalities represent this situation?
2x + 3y > 100
x + y = 40
100x + 2y = 3
x + y = 40
100x + 40y > 100
3x + 2y = 40
3x + 2y > 100
x + y = 40

Answers

Answer 1
Answer:

Answer:

2x + 3y > 100

x + y = 40

Step-by-step explanation:

This is the answer because it shows the price of each and the combined products equaling more than 100 dollars, and the bottom one shows that the combined total of jewelry can not exceed 40 pieces.

Answer 2
Answer:

Final answer:

The inequalities that represent Kate's situation are 2x + 3y > 100 and x + y ≤ 40.

Explanation:

In this situation, we can use the inequalities 2x + 3y > 100 and x + y ≤ 40 to represent Kate's goal of making at least $100 and making up to 40 pieces of jewelry. The inequality 2x + 3y > 100 ensures that the total cost of the bracelets and earrings is greater than $100, and the inequality x + y ≤ 40 guarantees that the total number of jewelry pieces is not more than 40.

Learn more about Inequalities in a Situation

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Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form.

Answers

m = (-1 - 4) /(2-3) = -5/-1 = 5

slope = 5

passing (3, 4)

y = mx + b

4 = 5(3) + b

4 = 15 + b

4 -15 = b

-11 = b or b = -11

answer:

equation

y = 5x - 11



What is rounding 985,538,.86 to the nearest million?

Answers

is 1,000,000 because 538 is greater then 500 so it rounds up

For which function is the ordered pair (4, 12) not a solution?y = 3x
y = x + 8
y = 16 - x
y = 8 - x

Answers

It's D since 8 - 4 = 4, not 12.

Answer:

Y=8-x

So the answer is in fact D.

In the figure, m∠2 = (20x + 52)° and m∠7 = (40x – 48)°For what value of x is line m parallel to line n?
18


5


44


3

Answers

Answer:

The answer is 5

Step-by-step explanation:

I took the test :)

Answer 5

Step-by-step explanation:

A bag contains 5 red, 5 blue, 4 green, and 2 yellow marbles. What are the odds of drawing a red marble? *1 point
1:1
5:11
1:3
5:9

Answers

Answer:

5:11

Step-by-step explanation:

you would say 5 marbles to the amount of the other marbles you have which would be 11

According to the Tristate Transportation Authority, making certain improvements to the main commuter rail line would increase ridership dramatically. The authority plans to finance these improvements over the course of five years by raising automobile tolls on the two high-way bridges along the route the rail line serves. Although the proposed improvements are indeed needed, the authority’s plan for securing the necessary funds should be rejected because it would unfairly force drivers to absorb the entire cost of something from which they receive no benefit.Which of the following, if true, would cast the most doubt on the effectiveness of the authority’s plan to finance the proposed improvements by increasing bridge tolls?


(A) Before the authority increases tolls on any of the area bridges, it is required by law to hold public hearings at which objections to the proposed increase can be raised.

(B) Whenever bridge tolls are increased, the authority must pay a private contractor to adjust the automated toll-collecting machines.

(C) Between the time a proposed toll increase is announced and the time the increase is actually put into effect, many commuters buy more tokens than usual to postpone the effects of the increase.

(D) When tolls were last increased on the two bridges in question, almost 20 percent of the regular commuter traffic switched to a slightly longer alternative route that has since been improved.

(E) The chairman of the authority is a member of the Tristate Automobile Club that has registered strong opposition to the proposed toll increase.

Answers

Answer:

Options A and B are true

(A) Before the authority increases tolls on any of the area bridges, it is required by law to hold public hearings at which objections to the proposed increase can be raised.

B. (B) Whenever bridge tolls are increased, the authority must pay a private contractor to adjust the automated toll-collecting machines.

Step-by-step explanation:

A. In a developed society, it's imperative for the authority to hold public hearings with stake holders to air their views before the tolls are increased, this would enable the authority to carry out proper assessment to know both the positive and negative impact of increasing the toll.

B. Increasing the tolls implies that there must be adjustment in the automated tolling machines and this would incur cost on the authority, this contract would be executed by private contractors.