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MArishka [77]
2 years ago
15

Two busses leave Billings at the same time. The Seattle bus heads west on I-90 at a speed of 73 miles per hour while the Chicago

bus heads east at a speed of 79 miles an hour. How many hours will it take them to be 532 miles apart?
Mathematics
2 answers:
eimsori [14]2 years ago
7 0

Answer:

  3.5 hours

Step-by-step explanation:

The buses are separating from each other at a speed of 73+79 = 152 miles per hour. Since time = distance/speed, the time it takes to be 532 miles apart is ...

  time = (532 miles)/(152 miles/hour) = (532/152) hours = 3.5 hours

Elden [556K]2 years ago
7 0

Answer:

After 3.5 hours buses will be 532 miles apart.

Step-by-step explanation:

Here one bus is moving west and other is moving east. That is they are moving in opposite direction.

Velocity of Seattle bus = 73 miles per hour west

Velocity of Chicago bus = 79 miles per hour east

Relative velocity = 73 + 79 = 152 miles per hour

We need to find time for which for their separation 532 miles.

Time,

           t=\frac{532}{152}=3.5hours

After 3.5 hours buses will be 532 miles apart

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The perpendicular bisector of the line segment connecting the points $(-3,8)$ and $(-5,4)$ has an equation of the form $y = mx +
docker41 [41]

Answer:

m = -1/2 and b = 6.5

Step-by-step explanation:

To find the slope of the original line segment, we have to do the change in y/the change in x:

(4-8)/(-5--3) = -4/-2 = 2

2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2

To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:

y = mx + b

8 = -1/2(-3) + b

8 = 3/2 + b

6.5 = b

5 0
2 years ago
Assume there are 365 days in a year.
MissTica

Answer:

1) The probability that ten students in a class have different birthdays is 0.883.

2) The probability that among ten students in a class, at least two of them share a birthday is 0.002.

Step-by-step explanation:

Given : Assume there are 365 days in a year.

To find : 1) What is the probability that ten students in a class have different birthdays?

2) What is the probability that among ten students in a class, at least two of them share a birthday?

Solution :

\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}

Total outcome = 365

1) Probability that ten students in a class have different birthdays is

The first student can have the birthday on any of the 365 days, the second one only 364/365 and so on...

\frac{364}{365}\times \frac{363}{365} \times \frac{362}{365} \times \frac{361}{365}\times\frac{360}{365} \times \frac{359}{365} \times \frac{358}{365} \times \frac{357}{365} \times\frac{356}{365}=0.883

The probability that ten students in a class have different birthdays is 0.883.

2) The probability that among ten students in a class, at least two of them share a birthday

P(2 born on same day) = 1- P( 2 not born on same day)

\text{P(2 born on same day) }=1-[\frac{365}{365}\times \frac{364}{365}]

\text{P(2 born on same day) }=1-[\frac{364}{365}]

\text{P(2 born on same day) }=0.002

The probability that among ten students in a class, at least two of them share a birthday is 0.002.

6 0
2 years ago
While exercising, Carly burns 450 calories per hour biking and 620 calories per hour playing racquetball. Sarah burns 560 calori
Katyanochek1 [597]

Answer:

A

Step-by-step explanation:

30 minutes = half an hour

Carly:

450/2 = 225

620/2= 310

225 + 310 = 535

Carly burned 535 calories total

Sarah:

560/2 = 280

510/2 = 225

280 + 225 = 505

Sarah burned 505 calories total

Carly burned more calories than Sarah

4 0
2 years ago
Lily and Mackenzie collected some stamps. If Lily gave 4 stamps to Mackenzie, Mackenzie would have twice as many stamps as Lily.
vlabodo [156]

x-4=x(2)

x-4=2x

+4   +4

8 = 6

lilly has 8 stamps and mackenzie has 6

7 0
2 years ago
A highway had a landslide, where 3,000 cubic yards of material fell on the road, requiring 200 dump truck loads to clear. On ano
Orlov [11]
3,000 yd3 = 200 dtl
Chapter 1: Problem Solving 17 / 21

Rates Question
12 A highway had a landslide, where 3,000 cubic yards of material fell on the road, requiring 200 dump truck loads to clear. On another highway, a slide left 40,000 cubic yards on the road. How many dump truck loads would be needed to clear this slide?
3,000 yd3 = 200 dtl
40,000 yd3 × 200 dtl = 2,667 dtl
3, 000 yd3
6 0
2 years ago
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