The table shows the amount of time a delivery truck has been driving and the distance traveled. The total distance traveled is a direct variation of the number of hours. Use the model below to find the slope.

The slope of the line represents that the a distance of 55 miles is covered each hour

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the distance in miles covered in x hours.

Using points (2, 110) and (7, 385) from the table:

[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{385-110}{7-2}\\\\m=55[/tex]

Therefore the slope of the line represents that the a distance of 55 miles is covered each hour

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Help help help math math

Party. Elena is buying cups and plates for her party. Cups are sold in packs of 8 and plates are sold in packs of 6. She wants to have the same number of plates and cups.
Find a number of plates and cups that meet her requirement.

How many packs of each supply will she need to buy to get that number?

Name two other quantities of plates and cups she could get to meet her requirement.

​Tiles. A restaurant owner is replacing the restaurant’s bathroom floor with square tiles. The tiles will be laid side-by-side to cover the entire bathroom with no gaps, and none of the tiles can be cut. The floor is a rectangle that measures 24 feet by 18 feet.
What is the largest possible tile size she could use? Write the side length in feet. Explain how you know it’s the largest possible tile.

How many of these largest size tiles are needed?

Name more tile sizes that are the whole number of feet that she could use to cover the bathroom floor. Write the side lengths (in feet) of the square tiles.

Stickers. To celebrate the first day of spring, Lin is putting stickers on some of the 100 lockers along one side of her middle school’s hallway. She puts a skateboard sticker on every 4th locker (starting with locker 4), and a kite sticker on every 5th locker (starting with locker 5).
Name three lockers that will get both stickers.
After Lin makes her way down the hall, will the 30th locker have no stickers, 1 sticker, or 2 stickers? Explain how you know.

Kits. The school nurse is assembling first-aid kits for the teachers. She has 75 bandages and 90 throat lozenges. All the kits must have the same number of each supply, and all supplies must be used.
What is the largest number of kits the nurse can make?
How many bandages and lozenges will be in each kit?

What kind of mathematical work was involved in each of the previous problems? Put a checkmark to show what the questions were about.

Evaluation: What Kind of Problem?
1. For each problem, tell whether finding the answer requires finding a greatest common factor or a least common multiple. You do not need to solve the problems.
a. Elena has 20 apples and 35 crackers for making snack bags. She wants to make as many snack bags as possible and wants each bag to have the same combination of apples and crackers. What is the largest number of snack bags she could make?

b. A string of holiday lights at a store has three colors that flash at different times. Red lights flash every fifth second. Blue lights flash every third second. Green light flashes every four seconds. The store owner turns on the lights. After how many seconds will all three lights flash at the same time for the first time?

c. A florist orders sunflowers every 6 days, starting from the sixth day of the year, and daisies every 4 days, starting from the fourth day of the year. When (or on which day) will she order both kinds of flowers on the same day?

d. Noah has 12 yellow square cards and 18 green ones. All the cards are the same size. He would like to arrange the square cards into two rectangles—one of each color. He wants both the yellow and green rectangles to have the same height and to be as tall as possible. What is the tallest possible height for the two rectangles?

2. Explain how you know which problem(s) involves finding the greatest common factor.

Perform the following computation with radicals. Simplify the answer.

\sqrt{3}\cdot 2\sqrt{2}

nvmmm jdkslkdijewkl,jdkr3tfrrrrrrrrredsw

I need helpppoppppppppppppp

Which of the following would be a correct first step to solve the equation, 5(y+12) = 25?

Find the slope for (4,5)and (2,3)

Write the inequality represented by the graph below. (0,-2) (0,1)

AYO math
3.14159 x the fraction 3 and 2 divided by 96

Math makes me think I shouldn’t be alive anyway the question is in the picture

In the first round of her new video game, Eluxxor,

Akira scored 220 points. In the second round, she scored – 85 points. What is Akira's total score at the end of the second round?

Please help me, I do not know how to do this. I would appreciate it if you explained how you got your answer too…

Sally is solving the linear equation 13 + 4x - 9 = 7x + 7 - 3x. Her final two steps are:
4 + 4x = 4x + 7
4 = 7
Select the statement that correctly interprets Sally's solution.
Lesson Link
1 The solution is x = 0.
2 The solution is the ordered pair (4,7).
3 There is no solution since 4 = 7 is a false statement.
4 There are infinitely many solutions since 4 = 7 is a false statement.
a
Enter the answer number!

| x | < 2

solve the inequality and then graph the solution

X - 98 + X divided by 2 when x is 300?
will give brainliest

Factor f(x) = 22 - 5x + 6 using any method.
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Use long division to find the quotient below. (8x^3-10x^2-19x-15)/(2x-5)

On an architect’s drawing of a house, 1 inch represents 7 feet. If the bedroom window is 5 inches long on the drawing, how long will it be in the actual house?

Write 110 as a product of primes​

in a concert hall, there are 16 chairs in the first row, and each row has 4 more chairs than the previous row. there are 14 rows altogether. how many chairs are there in the concert hall?

help me pls first person to answer CORRECTLY will get brainliest

PLS HELP AND ANSWER CORRECTLY 15 POINTS AND BRAINLIEST!!!
how can you test to see if a given point is in the solution set of a system of inequalities?

Swapna is 26 years older than her daughter Suma. 6 years later, Swapna will be thrice as old as Suma. Find their present ages.​

If it takes 5 gallons of gas to drive 102 miles, how many miles can be driven using 7 gallons of gas?

heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour heather works on their hair style.as back to school special she offers to lower her price per hour by $5 what equation represents the total amount paid to heather,y,after x hours of hair styling​

Which table shows a proportional relationship?x12345y47101316r510152025s12345b03579c0481216p13579q68101214

Express the shaded portion of each box using fractions. Which box has a higher fraction
of its boxes shaded?

0.25(x + 4) - 3 = 28

Triangle 1 is composed of line segments AB, BC, and CA.Triangle 2 is composed of line segments DE, EF, and FD.The triangles are similar with a scale of 5:2.Select the true statement about the proportions of the sides.

PLZ HELP
WHAT DOES Y EQUAL?​