Simplify the expression-3(b-7)

Answers

Answer 1

Answer: -3(b - 7)

Multiply -3 into the parenthesis.

= -3b + 21.

Answer 2

Answer: Multiply -3 to each term in the parentheses:
-3(b)= -3b
-3(-7)= 21
These are not like terms, so write them as an expression:
-3b + 21 or 21 - 3b

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What is the slope of a line that passes through points (-1, 4) and (4, 9)?

Answers

The slope is (difference in 'y') divided by (difference in 'x') .

Difference in 'y' = (9 - 4) = 5

Difference in 'x' = (4 - [-1]) = 5

Slope = 5/5 = 1 .

(I don't think we need the pictures at all.)

Ok here is the graph. And all of the Different slopes.
The slope would be Positive Slope!

Every 4 seconds, a ski lift chair rises 14 feet. Describe the relationship between the height of the chair and the time.

Answers

The relationship between the rise of the chair with respect to time is required.

The ski lift chair rises $3.5\ \text{feet/s}$

Rate of change

Every $4$ seconds a ski lift chair rises $14\ \text{feet}$ .

$4\ \text{seconds}=14\ \text{feet}$

Divide by $4$ on both sides

$1\ \text{second}=(14)/(4)=3.5\ \text{feet}$

The rate of the height increase of the ski lift chair is $3.5\ \text{feet/s}$

Learn more about rate of change:

brainly.com/question/8728504

What is the solution to the system of equations?6x – 9y = 16
2x – 3y = 7
A) (5, 1)
B) (2, -1)
C) (3, 2/9)
D) no solution

Answers

If you would like to know the solution to the system of equations, you can calculate this using the following steps:

6x – 9y = 16
2x – 3y = 7 /*(-3) ... -6x + 9y = - 21
___________
6x – 9y - 6x + 9y = 16 - 21
0 = - 5

The correct result would be D) no solution.

Suppose you could climb to the top of the great pyramid. Which route would be shorter, a route along a lateral edge or a route along the slant height of a side? Which of these routes is steeper? Explain your answers.

Answers

Consider a regular pyramid. A pyramid has slant height, altitude, base, and a lateral edge. The lateral edge is always greater than the slant height. Therefore, if you climb to the top of the Great Pyramid, the route that is shorter is a route along the slant height of a side.

On average Exante Express trains are 50km/hr faster than Paral passenger trains. A Paral passenger train requires 60% more time then Exante train to travel 1800 km from Matsay to Rawindi. Calculate average speed of each train. Calculate time it takes for each train for the journey.

Answers

$V- average\ speed\ of\ Exante\ Express\ train\nt-travel\ time\ of\ Exante\ Express\ train \n \nV= (S)/(t) \ \ \ \ and\ \ \ V-50= (S)/(t+60\%t) = (S)/(1.6t)\ \ \ \ and\ \ \ S=1800\n \nV= (1800)/(t) \ \ \ and\ \ \ V-50=(1800)/(1.6t)\ \ \ \Rightarrow\ \ \ (1800)/(t)-50= (1125)/(t) \ /\cdot t\n \n1800-50 t=1125\ \ \ \Rightarrow\ \ \ 50t=1800-1125\ \ \ \Rightarrow\ \ \ 50t=675\ /:50\n \nt=13.5\ [h]=13\ [h]\ 30\ [min]\n\n1.6t=21.6\ [h]=21\ [h]+ 0.6\cdot60\ [min]=21\ [h]\ 36\ [min]$

$V= (1800)/(t) =(1800)/(13,5) =133 (1)/(3) \ [km/h]\approx133.3\ [km/h]\n\nV-50\approx83.3\ [km/h]$

$Ans.\n average\ speed\ of\ Exante\ Express\ train\ is\ 133.3\ km/h,\ntravel\ time\ of\ Exante\ Express\ train\ is\ 13\ h\ 30\ min;\naverage\ speed\ of\ Paral \ passenger \ train\ is\ 83.3\ km/h,\ntravel\ time\ of\ Paral \ passenger\ train\ is\ 21\ h\ 36\ min$

Working at a restaurant, your boss gives you $20/night and you earn $5 per table. What is the equation for your total earnings in a night in slope-intercept form?

Answers

Answer:

y=5x+20

Step-by-step explanation:

You start with 20 bucks and you get 5 bucks per table.

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PLEASE HELPAt midnight, the outside temperature was –12⁰. By 6:00a. m. the outside temperature had dropped 6⁰. What was the outside temperature at 6:00a. m.?a. –18⁰b. –6⁰c. 6⁰d. 18⁰

Maura runs 5 miles in 1.25 hours. Ava runs 3 miles in 50 minutes (about 0.83hours), who runs faster? Justify your answer with a unit rate.

Solve for x. 17−x=36 −53 −19 19 53

PROVE ALGEBRAICALLY THAT 0.5 = 5/9