A car passes through a tollbooth at 8:00 A.M. and begins traveling east at an average speed of the same tollbooth an hour later and begins traveling east at an average speed of 60 miles per hour. a. Write an equation for each car that relates the number of hours x since 8:00 A.M. to the distance in miles y the car has traveled. Explain what the slope of each equation represents. b. Graph the system of equations on the coordinate plane. c. If neither car stops, at what time will the second car catch up to the first car? Explain how you determine your answer.

Answer:

x = -1.6

Step-by-step explanation:

Solve for x:  

Combine like terms.  Here we combine 1.6x and 3.4x, obtaining 1.8x on the right side of the equation and -2.88 on the left side:

-2.88 = 1.8x

Solve for x by dividing both sides by 1.8:

x = -2.88/1.8, or x = -1.6

Answer:

If you guess do this -

.5(9)

Basically about a 4.5% chance of getting all right.

Answer:

Step-by-step explanation:

each question has 2 answer choices, so 1 or the 2 is correct, and to get all 9 in a row correct would be like this

1/2 x 1/2 x 1/2 x 1/2 x 1/2 x 1/2 x 1/2 x 1/2 x 1/2

because theres a 1 in 2 chance of getting each question right, and there are 9 questions

1/2^9 = 0.00195 = 0.195%

Answer:

58 sq. units

Step-by-step explanation:

1. split them into 3 shapes

of course it is possible to count them all out, but the more efficient way would be to find the area of each shape and the add them all up.

2. find the area of rectangle a

so you can split one into a recantagle that separates itself from the 2 squares at the bottom

area formula: L x W

so the length of that rectangle is going to be 5, once you count the scares of that side. the width would be 10 when you count the top side of how wide it is.

5 × 10 = 50

3. find the area of the 2 squares

you don't need to find both, because one you find one, you find the other. so the length for the square would be 2 while the width is 2 as well.

2 × 2 = 4

so the area is 4, for each square.

50 + 4 + 4 = 58

Answer:

the answer is

Step-by-step explanation:

that im not good with math so good luck

Answer:

it could either be 35 or 70

Step-by-step explanation:

Answer:

Divide any of the numbers of cases by the corresponding time.

92/2 = 46

138/3 = 46

184/4 = 4

Step-by-step explanation:

Answer:

slope = -1

Step-by-step explanation:

you subtract the y-values (-1-1=-2) then subtract the x-values (6-4=2) then divide the sum of the y-values by the sum of the x-values

[tex]\frac{-2}{2}[/tex] which simplifies to a slope of -1

Answer:

1/3

Step-by-step explanation:

Factors of 6 are 1, 2, 3, 6.

Even numbers are 2, 4, 6

3/6 * 4/6 = 12/36 or 1/3

Answer:

$46.25

Step-by-step explanation:

50 divided by 7.5% equals 3.75

Minus 3.75 from 50 to find the removed amount.

Answer:

Cost of the gift = $53.75

Step-by-step explanation:

Total cost of the gift = cost of the earrings + (cost of the earrings × sale tax)

Cost of the gift = $50 + ($50 × .075)                      7.5% = .075

Cost of the gift = $50 + $3.75

Cost of the gift = $53.75

Answer:

you should of not said exam you will prob get banned now

Step-by-step explanation:

Answer:

.25

Step-by-step explanation:

Since it's a random and equal chance, you can completely disregard what he got previously. There is always a 1 in 4 chance no matter what. .025 is correct.

9514 1404 393

Answer:

  a.  0.25

Step-by-step explanation:

A spinner in an algebra problem is generally considered to have equal probabilities for equal areas. It is also generally considered to have the characteristic that the value produced by the next spin is independent of the value produced by the last spin.

With those assumptions in mind, the probability of getting a 3 is always 0.25. It is never anything else with this 4-section spinner.

Answer: Each guest will receive 21 pieces.

Answer:

slope is 1

Step-by-step explanation:

slope is rise over run

Answer:

13800

Step-by-step explanation:

:b

Answer:

Smaller

Step-by-step explanation:

On the number line, 3.6 is on the right side while -4.9 is on the left side. The closer to the right on the number line, the bigger the number.

Answer:

its smaller because negative numbers are to the left of positive numbers and when a number is to the left of another number its less than

Answer:

3/2 or 1 1/2 or 1.5

Step-by-step explanation:

first do the equations in each parentheses:

(-5+2) = -3

(-1/2) = -1/2

then multiply both sides:

-3 • -1/2 (which is the same as -3 • -1 over 2)

= 3/2 or 1 1/2 or 1.5

Answer:

Sarah gets 2 A's.

Step-by-step explanation:

Sarah's mother gives her $10 for each B she receives. She received 3 B's, so 3x10 is 30. You subtract 80-30. You get 50. She receives $25 for each A. You then divide 50 by 25, and are left with 2. The answer is that Sarah received 2 A's on her report card.

Hope you have a great day,

Ginny

Answer:

105cm

Step-by-step explanation:

first convert 1.5 metres to cm;

1m = 100cm

1.5 =?

1.5×100= 150cm

we then subtract:

255-150=105cm

Answer:

$250

Step-by-step explanation:

The goal here is to find the cost of the painting BEFORE the 60% increase.

To find the cost of the painting, we must take in the information we already have:

Increase percent: 60%

Original price: unknown

Price after increase: $400

$400 is the price of the painting AFTER the increase has been added. So this equals the cost of the painting before the increase, plus the total amount of the increase (which is 60% of the original price).

The total must be (100% + 60% = 160%) 160% of the original painting price.

To find the original price, we must divide the increased price by the new percentage (160%). But how do we get here?

Well, we have 160% and our (fraction) $400/1%. We will have to switch the 160% and the 1%, giving us..

1% $400/160%

We take 400/160, which is 2.5. But this is only 1% of the original price! We want 100%.

So now, we multiply the 2.5 by 100 to get our answer: $250.

Answer:

59

Step-by-step explanation:

x+1 = 7

Subtract 1 from each side

x+1-1 =7-1

x =6

x^2 + 22 +1

6^2 +22+1

36+22+1

36+23

59

Answer:

[tex]x + 1 = 7 \\ x = 7 - 1 = 6 \\ putting \: the \: value \: of \: x = 6 \\ 6 \times 2 + 22 + 1 = 34[/tex]

Answer:

-19 and 3

Step-by-step explanation:

-19 x 3 = -57

-19 + 3 = -16

Answer:

Step-by-step explanation: To find the answer to "What two numbers have a product of 57 and a sum of 16?" we first state what we know. We are looking for x and y and we know that x • y = 57 and x + y = 16.

Before we keep going, it is important to know that x • y is the same as y • x and x + y is the same as y + x. The two variables are interchangeable. Which This means that when we create one equation to solve the problem, we will have two answers.

To solve the problem, we take x + y = 16 and solve it for y to get y = 16 - x. Then, we replace y in x • y = 57 with 16 - x to get this:

x • (16 - x) = 57

Like we said above, the x and y are interchangeable, therefore the x in the equation above could also be y. The bottom line is that when we solved the equation we got two answers which are the two numbers that have a product of 57 and a sum of 16. The numbers are:

5.35425

10.64575

That's it! The two numbers that have a product of 57 and a sum of 16 are 5.35425 and 10.64575 as proven below:

5.35425 • 10.64575 = 57

5.35425 + 10.64575 = 16

HOPE THAT HELP YOU PLS MARK ME BRANLITS PLSSSS

a) -7

b)

-7

7

c) 7

7

These are the answers

Answer:

a. 7

b. -7 then 7

c. 7 for both

Step-by-step explanation:

Answer:

48 ft

Step-by-step explanation:

We can use ratios to solve

1 inch          16 inches

------------ = -------------

3 ft               x ft

Using cross products

1 * x = 3 * 16

x = 48

48 ft

Answer:

Graf 2 is correct

Step-by-step explanation:

The correct graph that represents the linear relationship is Graph B with a positive slope.

The table shows a linear relationship between the number of months enrolled and the total cost paid for the membership.

To determine which graph represents this relationship, we need to check if the cost increases or decreases as the number of months enrolled increases. If the cost increases, it means the graph should have a positive slope. If the cost decreases, it means the graph should have a negative slope.

Let's look at the table:

Number of Months Enrolled                                   Total Cost

1                                                                               75

2                                                                               100

3                                                                                 125

As the number of months enrolled increases, the total cost increases. Therefore, the graph should have a positive slope. From the given options, the graph that correctly represents this linear relationship is Graph B, which has a positive slope.

Learn more about the topic of Linear relationship here:

https://brainly.com/question/15070768

#SPJ3

The times spent in training is an illustration of proportions

The times spent in training is 80 hours

The given parameters are:

Time spent = 6 hours

Time spent as a percentage = 7.5%

Let the total time spent in training be x.

The scenario is represented by the following equation

Time spent = Time spent as a percentage  * Total Time

So, we have:

6 = 7.5% * x

Express percentage as decimal

6 = 0.075 * x

Divide both sides by 0.075

80 = x

Rewrite as:

x = 80

Hence, the times spent in training is 80 hours

Read more about proportions at:

https://brainly.com/question/21126582

Answer:

2 Hours

Step-by-step explanation:

using the relationship

distance = speed × time, then

time =[tex]\frac{distance}{speed}[/tex]  =[tex]\frac{30}{15}[/tex]  = 2 hours