A bus averages 2miles per hour faster than a motorcycle. If the bus travels 165miles in the same time it takes the motorcycle to travel 155miles, then what is the speed of each?

Answers

Answer 1

Answer:

speed of bus = 33 mi/hr

speed of motorcycle = 31 mi/hr

Step-by-step explanation:

Let the speed of the motorcycle be x mi/h.

Now, we are told that the bus averages 2 mi/hr faster than the motorcycle. Thus, speed of bus = (x + 2) mi/hr

Formula for time is; t = distance/speed

Since distance covered by bus is 165 miles, then t_bus = 165/(x + 2)

Since distance covered by motorcycle is 155 miles, then t_motorcycle = 155/x

We are told that the bus and the motorcycle used the same time to cover their respective distances. Thus;. t_bus = t_motorcycle

Thus;

165/(x + 2) = 155/x

Cross multiply to get;

165x = 155(x + 2)

165x = 155x + 310

165x - 155x = 310

10x = 310

x = 310/10

x = 31 mi/hr

Then speed of bus = 31 + 2 = 33 mi/hr


Related Questions

Will give brainliest plz help!

Answers

Answer:

6.28cm

Step-by-step explanation:

I think for me the easiest would be to find the circumference and divide by 4, since the arc is 1/4 of the circumference of the circle.

C=2πr

C=2(3.14)(4)

C = 25.12cm

25.12cm/4 = 6.28

To lease a new car, you must make a down payment when you sign the lease, then pay $199 per month. Six months after signing his lease, Mr. Scott had paid $2,694. Write and solve an equation to find the total amount he will have paid after 2 years.

Answers

The solution for this problem is:

Let x be the number of months; and

Let y be the amount paid

We know that m is $199 per month and the two other given are 6 months and 2694.

 

y = 199 (x -6) + 2694

y = 199 (36 -6) + 2694

y = 199 (30) + 2694

y = 8664

 

Mr. Scott paid $8664 after 3 years.

Evaluate: (4/25)^1/2

Answers

I think the answer is 2/5

find the slope hurry pleaseeee

Answers

Answer:

I think the answer is ¼, im not 100% aure tho.

Step-by-step explanation:

HURRYY I ONLY HAVE 15 MINS!!! Find (a) the perimeter and (b) the area of the figure. Use $3.14$ or $\frac{22}{7}$
for $\pi$ . Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

I only know the area sorry it is 7.065 ft2

Answer:

Perimeter: 7.712

Area: 3.534

Step-by-step explanation:

A= [tex]\pi*r^{2}/2\\[/tex]

L=[tex]\pi *r/2\\[/tex]

Please I will give brainliest

Answers

The answer is 96 square ft

In a class there are 15 students. 8 of them like playing soccer, 6 of them like swimming, and 2 like both and swimming and playing soccer. How many students do not like playing soccer and do not like swimming?

Answers

Answer:

6+8-2=12, 15-12=3 answer=3

WHAT IS THISSSSSSSSSSSSS

Answers

Answer:

1 is to 2

Ie

1/2

Step-by-step explanation:

hope it helps

Answer:

2 to 1

which equals 2

Step-by-step explanation:

if you look at point B (2,1) and B’ (4,2)

we can see that each value is multiplied by 2

Chad has 1.4 gallons of milk. There are about 3.79 liters in 1 gallon. How many liters of milk does Chad have?
A. 3.79
B. 5.31
C. 2.71
D. 0.37

Answers

Answer:

The answer is B. 5.31 gallons

Step-by-step explanation:

I need help please ASAP lm really stuck on this question

Answers

Answer:

y=2x+3

Step-by-step explanation:

slope is rise over run. goes up to and over one so your slope is 2/1 or 2.

the c part of the equation of the line is your y-intercept(where the line crosses the y-axis) this is at 3.

so, y=2x+3

What is the area of this figure?
Enter your answer in the box.
8 m
m2
p>
5 m
9 m

Answers

Answer:

81m²

Step-by-step explanation:

I took the quiz :)

Answer:

81

Step-by-step explanation:

got it right

Please help on these two question it is due today please help me.

Answers

Answer:   7 is 6 feet by 21 feet

8 is 12 inches

Step-by-step explanation:

Write an equation of the line shown in the graph in slope intercept form (y = mx + b). Show
your work for full credit.
(4,6)
(2, 2)

Answers

Answer:

y = 2x - 2

Step-by-step explanation:

Points on graph: (4,6) and (2, 2)

Slope:

m=(y2-y1)/(x2-x1)

m=(2-6)/(2-4)

m=(-4)/(-2)

m = 2

Slope-intercept:

y - y1 = m(x - x1)

y - 6 = 2(x - 4)

y - 6 = 2x - 8

y = 2x - 2

Find the distance between the pair of points. ​(4​,1) and ​(9​,6​)

Answers

Answer:

5√2 or 7.07 units

Step-by-step explanation:

To find the distance between two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plug in the given values of (4​,1) and ​(9​,6​)

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(9 - 4)² + (6 - 1)²]

Simplify the parentheses.

d = √[(5)² + (5)²]

Simplify the exponents.

d = √[25 + 25]

Add.

d = √[50]

Evaluate the radical.

5√2 or 7.07

Round the decimal.

5√2 or 7.07 units

Hope this helps!

6, 18, 54, 162
What is the common ratio

Answers

Answer:

3

Step-by-step explanation:

The common ratio is 3 because 6 x 3 = 18 , 18 x 3 = 54 , and 54 x 3 - 162

Which statement about the two triangles is correct?

Answers

Answer:

The second choice

Step-by-step explanation:

i dunno how to explain it

Can someone help me pleasee :)

Answers

Answer:

ill help you

Step-by-step explanation:

What are the real or imaginary solutions of each polynomial equation?
If you can answer both questions thank you

Answers

1) a
2) c

#1 explanation:

x^4-20x^2=-64
x^4-20x^2+64=0
(find a number that multiplies to the last number aka 64 and adds up to b aka 20)
((x-4)(x-16))^2
x= -2,2,-4,4

same for #2 w different variable and numbers


I WILL MARK SOMEONE BRIANLIEST!!! SOMEONE HELP

Answers

Answer:

See below

Step-by-step explanation:

[tex] \because \: we \: know \: that \\ {2}^{0} = 1 \\ \\ \implies \: log_{2}1 = 0 \\ (if \: {a}^{m} = n \implies \: log_{a}n = m)[/tex]

8. The talent show committee sold a total of 530 tickets in advance. Student
tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were
$1740, how many of each type of ticket were sold?

... please solve this using systems of equations

Answers

Answer:

Number of students tickets sold = x = 380 tickets

Number of adults tickets sold = y = 150 tickets

Step-by-step explanation:

Let

Number of students tickets sold = x

Number of adults tickets sold = y

x + y = 530 (1)

3x + 4y = 1740 (2)

From (1)

x = 530 - y

Substitute x = 530 - y into (2)

3x + 4y = 1740

3(530 - y) + 4y = 1740

1590 - 3y + 4y = 1740

- 3y + 4y = 1740 - 1590

y = 150

Substitute y = 150 into (1)

x + y = 530

x + 150 = 530

x = 530 - 150

x = 380

Number of students tickets sold = x = 380 tickets

Number of adults tickets sold = y = 150 tickets

Solve for x. -4x + 6(6– 2x) = -7x – 36 Select one:
a. -7
b.15
c.8
d.3​

Answers

I have to atletas write 20 words by i know for a fact it’s b

Answer:

8

-4x+6(6-2x) = -7x - 36

-4x+36-12x = -7x-36

-16x+36 = -7x-36

-16x +7x = -36-36

-9x = -72

x = 72/9

x = 8

Mike walked 5/8 of the way to school before it started raining.how many percent of the trip did he get before it rained ​

Answers

Answer:

62.5%

Step-by-step explanation:

To find the percent, divide 5 by 8, and multiply it by 100:

5/8

= 0.625

0.625(100)

= 62.5

So, Mike walked 62.5% of the trip

Answer:

62.5%

Step-by-step explanation:

5/8 As A Decimal Is 0.625

So  Inequalify 5/8.   So, 62.5/100

then convert 0.625 by 5/8, Which is 62.5.

So your answer is 62.5%.

its 94 i said it first tho so does that mean i get brainliest

Answers

Answer:

YA if you said it first ya you are supposed to get brainlies ONLY if the question says will give brainliest if your right

Step-by-step explanation:

I need help what is y over 5>= 8

Answers

Answer:

3 i think

Step-by-step explanation:

PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry

Answers

Answer:

I think the last one is the answer

The side lengths of the figure below are given in centimeters. If the perimeter of this figure is 78 cm, what is the value of x?

Answers

x=-12 or 6
Hopefully this helps :)

Find the circumference of the circle with the given area A. Use 3.14 for TI
A = 87.9
C =
r=

Answers

Area = r^2 * 3.14
87.9/3.14 = around 28
Square root of 28 = 5.3
The radius is 5.3
Circumference: diameter * 3.14
5.3 + 5.3 = 10.6
10.6 * 3.14 = 33.3
The circumference is 33.3

15 POINTS!!!!!

Choose the postulate used to prove the triangles are congruent. If they are not congruent, choose "Not Congruent"

A. SAS

B. AAS

C. ASA

D. SSA

E. Not Congruent ​

Answers

Answer:

A. SAS

the triangle is congruent by side angle and side

A. SAS Hope this help

ill give brainlist if your correct

Answers

Hope this help hope you pass have a great day

Answer:

I KNOW this is not an awnser but im doing   the same things as you   for summer school help me i help you?????

Step-by-step explanation:

pls also i think it is like c I dont know thou

How long does it take $6,000 to quadruple if it is invested at 9.1% interest compounded annually?

a
15.9 years
b
17.8 years
c
37 years
d
222,222.22 years

Answers

Answer:

1. 15.9 years

Step-by-step explanation:

You must solve this equation:

[tex]6000 \cdot 1.091^n > 24000[/tex]

So [tex]1.091^n > 4[/tex]

Take the log left and right:

[tex]\log 1.091^n > \log 4[/tex]

use the log property that you can put the exponent in front:

[tex]n \cdot \log 1.091 > \log 4[/tex]

[tex]n > \frac{\log 4}{\log 1.091}[/tex]

n > 15.917

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