Two cars leave Denver at the same time and travel in opposite directions. One car travels 10 mi/h faster than the other car. The cars are 500 mi apart in 5 h. How fast is each car traveling?

Answers

Answer 1

Answer: The speed of one car is 'S'. The speed of the other car is (S + 10).

In 5 hours, the first car travels (5S) miles, and the other car travels 5(S + 10) miles.

Since they're going in opposite directions, the distance between them at any time
is the sum of the distance that each one has traveled.

500 = (5S) + 5(S + 10)

500 = 5S + 5S + 50

500 = 10S + 50

Subtract 50 from each side:

450 = 10S

Divide each side by 10

S = 45

S + 10 = 55

Answer 2

Answer:

Let one car travel at x mph

The other car travels at x+10 mph

Their combined speed is 2x+10 mph.

Distance = 500

time = 500 /2x+10 =5

10x+50=500

10x= 450

x=45 speed of one car

The other car travels at 45+10 = 55 mph

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Which of these service providers should you tip?

Answers

You should tip the cab driver.

Answer:

The correct answer is A. Cab Driver.

Step-by-step explanation:

I think i had thw correct answers for thr last two but the keep coming up as incorrect

Answers

Answer:

B. 40

C. 8

Step-by-step explanation:

Find the coordinates of the point shown on the graph. What are the coordinates of the following points?

Answers

A is (0,0)
B is (1.5,0)
C is (2,1)
D is (-7,4)
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If x + y = 13 and y = 2, then which of the following is true according to thesubstitution property?
OA) 2 + y = 13
B) x= 13- y
OC) x+ 2 = 13
OD) y = 13 - x

Answers

Answer:

Step-by-step explanation:

Michael buys a ticket in the Tri-State Pick 3 lottery every day, always betting on 812. He will win something if the winning number contains 8, 1, and 2 in any order. Each day, Michael has probability 0.006 of winning, and he wins (or not) independently of other days because a new drawing is held each day. What is the probability that Michael’s first winning ticket comes on the 10th day?

Answers

Answer:

0.00568 ANS

Step-by-step explanation:

Since Michael has a .006 chance of winning on any given day,

Than his tries of not winning on any day are as:

1-.006=.994.

For Michael first winning ticket would be on 10 day, Michael should not win on the first 9 days, so then he has to win on the 10 day. For Michael not to succeed on the first 9 days, the probability is:

.994^9=0.94727801832

Hence for him to succeed on the 10 day, the probability is .006.

Now the probability of his first winning ticket being on the 10 day is:

.006*.994^9.=0.0056836681.

Samir bought snacks for his team's practice. he bought a bag of popcorn for $1.67 and a 24-pack of juice bottles. the total cost before tax was $31.19. write and solve an equation which can be used to determine xx, how much each bottle of juice cost.

Answers

The equation is 1.67+24x=31.19.

Final answer:

Samir's snacks cost $31.19, excluding the popcorn's $1.67, means the juice bottles cost $29.52. The equation 24x = $29.52 represents the cost 'x' of each juice bottle. Solving the equation, we find each juice bottle cost $1.23.

Explanation:

The subject of this question is Mathematics, specifically solving basic equations within the context of a real-world problem. The cost of the snacks Samir bought, $31.19, includes the cost of the popcorn and the cost of the juice bottles. Given that the popcorn cost $1.67, the cost of the juice bottles is $31.19 - $1.67 = $29.52.

If we let 'x' represent the cost of each bottle of juice, the equation would be 24x = $29.52. To solve, divide both sides of the equation by 24.

Therefore, x = $29.52 / 24 = $1.23. So, each bottle of juice cost $1.23.

Learn more about Solving Equations here:

brainly.com/question/18322830

#SPJ11

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