The sum of 3 consecutive even numbers is 42. The sum can be respresented by n+(n+2)+(n+4)=42. What does n represent?

Answers

Answer 1
Answer:

Answer:

13

Step-by-step explanation:

n+(n+2)+(n+4)=42

3n+6=42

3n=42-6=36

3n=36

n=13

13+14+15=42


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Answers

Sorry I’m confused! Maybe....

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.

Tyler works in retail where she earns $10.50 per hour. She also earn $15 for every new credit account she gets customer to open and she gets a weekly stipend of $50 for clothing. Tyler knows her weekly earnings can be shown with the following expression Part A: Identify a coefficient, a variable, and a constant in this expression Part B: If Tyler works for 37 hours and open 12 new credit account, how much does she earn? Show you work to receive full credit Part C: If Tyler gets a raise and begins earning $11.25 per hour, would the coefficient, variable or constant in the expression change? Why?

Answers

The expression can be shown as:

10.5a + 15b + 50 = weekly earnings.

(where a is the number of hours worked and b is the number of credit accounts she gets customers to open)

For Part A, either the 10.5 part of 10.5a or the 15 part of 15b is a coefficent, and 50 is a constant, and the variables are a and b.

For Part B, plug the numbers into the equation:

=10.5a + 15b + 50
=10.5*37 + 15*12 + 50
=388.5 + 180 + 50
=$618.5  (remember units!)

For Part C: The coefficent changes, because the number part of the expression changes. (10.5a becomes 11.25a).

Do you know the awnser to 4(-8x+5)-(-33x-26)=

Answers

Answer:

x +46

Step-by-step explanation:

4(-8x+5)-(-33x-26)=

Distribute

-32x+20 +33x +26

Combine like terms

x +46

Answer:

x+46

Step-by-step explanation:

-32x+20+33x+26=

x+20+26=

x+46

Does the set of numbers 13, 21, and 24 form a Pythagorean triple? Explain. a. yes; 132 + 212 ≠ 242b. no; 132 + 212 = 242
c.no; 132 + 212 ≠ 242
d. yes; 132 + 212 = 242

Answers

For a Pythagorean triple:
a² + b² = c²
13² + 21² = 24²
169 + 441 = 576
610 ≠ 576
Answer:
C) No, 13² + 21² ≠ 24²

Answer:

No; no; 13^2 + 21^2 ≠ 24^2

Step-by-step explanation:

The sum of the squares of the legs is greater than the square of the hypotenuse, therefore this set of numbers DOES NOT form a Pythagorean triple. The sum of the squares of the legs must be equal to the square of the hypotenuse.

Does x-4=5 has one solution

Answers

Yes, if you do it correctly by following the Algebraic way you would get:

x-4=5 
you need to find x.
you can do this by subtracting 4 from the x side and adding it to 5.
so it would be x= 5+4
then you jsut add 5 and 4 and you get x.
so x = 9.
Hi there! If you add 4 to both sides, x-4+4=5+4 which gets us 9. Therefore, x-4=5 does have a solution. The solution is 9.