A bus travels the 100 miles between A and B at 50 mi/h and then another 100 miles between B and C at 70 mi/h. The average speed of the bus for the entire 200-mile trip is:

Answers

Answer 1

Answer:

Average speed= 58.3 mi/hour

Step-by-step explanation:

The average speed is defined as the total distance traveled divided by the total time taken.

from A to B

distance= 100 miles

speed= 50 mi/h

speed= distance/time

time= distance/speed

time= 100/50

time= 2 hours

from B to C

distance= 100 miles

speed= 70 mi/h

speed= distance/time

time= distance/speed

time= 100/70

time= 10/7 hours

Average speed= total distance/total time

total distance= 200 mile

total time= 2+10/7= (14+10)/7= 24/7

Average speed= 200/24/7

Average speed= 200*7/24

Average speed= 1400/24

Average speed= 58.3 mi/hour


Related Questions

when the whole p is divided by 18 ,24or30 the remainder is 3. Find the least value of p​

Answers

Answer:

p=363

Step-by-step explanation:

First we take L.C.M(18,24,30)

=>L.C.M=360

=>now add 3 to 360=360+3=363

=>p=363

Ruben made 3.4 gallons of peach ice cream in his new ice cream maker. If there are 22.5 servings in a gallon, how many servings of ice cream did Ruben make? Ruben made servings of ice cream.

Answers

Answer:

Reuben made 76.5 servings of Peach ice cream

Step-by-step explanation:

Total gallons of peach ice cream made = 3.4 gallons

Number of servings per gallon = 22.5

This means that:

1 gallon = 22.5 servings

∴ 3.4 gallons = 22.5 × 3.4 = 76.5 servings

Therefore, Reuben made 76.5 servings of Peach ice cream

(01.01 MC)Why is 1 + (−5) equal to −4? I NEED HELP ASAPPPP

Answers

Answer:

Hey there!

1+(-5)=1-5

1-5 = -4

Let me know if this helps :)

The person who answered it is correct:)

The sum of one-half and two-thirds, divided by five.

Answers

Answer:

7/35

Step-by-step explanation:

Answer:

0.23333333333333

Step-by-step explanation:

The formula for percentage increase I (given as a decimal) of an investment is I=S−P/P, where P is the purchase price and S is the sale price. You sell a stock at a price of $75, earning a percentage increase of 25%. What was the purchase price of the stock? Also solve the formula for P pls show steps

Answers

We are given the formula in the questions, so all we need to do is solve.

0.25 = 75-p/p

0.25 = 75 - p

0.25p + p = 75

1.25p = 75

1.25p/1.25 = 75/1.25

p = 60

Therefore, the purchase price was $60.

Best of Luck!

What is the image of (9,0) after a dilation by a scale factor of 2 centered at the origin?

Answers

Answer:

(-18,0)

Step-by-step explanation:

Dilation involves changing the size of a point.

The image of (9,0) after a dilation by a scale factor of 2 centered at the origin is (18,0)

The point (P) is given as:

[tex]P = (9,0)[/tex]

The scale factor (k) is given as:

[tex]k = 2[/tex]

The image after a dilation centered at the origin is the product of the coordinates of the point and the scale factor.

So, we have:

[tex]P' = P \times k[/tex]

This gives

[tex]P' = (9,0) \times 2[/tex]

Expand

[tex]P' = (9\times 2,0\times 2)[/tex]

Evaluate the products

[tex]P' = (18,0)[/tex]

Hence, the image of (9,0) is (18,0)

Read more about dilation at:

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Which of the following best represents the average rate at which a person can quickly walk? (2 points)
Oa
3 steps per hour
3 steps per second
.
30 steps per minute
30 steps per second

Answers

30 steps per minute

|x + 5| – |2w| When x = 2 and w = –4

Answers

15
(2 + 5) - (2 x -4) = 15
7 - -8
Minus a negative goes upwards.
15

Answer:

-1

Step-by-step explanation:

lx+5l -- l2wl

l2+5l -- l2x-4l

7 -- l2x-4l

7 -- 8

-1

What is the factored form of x2+16x+15

Answers

Answer:

(x+1)(x+15)

Step-by-step explanation:

[tex]x^2+16x+15\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+x\right)+\left(15x+15\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+x\mathrm{:\quad }x\left(x+1\right)\\\\\mathrm{Factor\:out\:}15\mathrm{\:from\:}15x+15\mathrm{:\\\quad }15\left(x+1\right)\\=x\left(x+1\right)+15\left(x+1\right)\\\\\mathrm{Factor\:out\:common\:term\:}x+1\\=\left(x+1\right)\left(x+15\right)[/tex]

Write the factored form using these integers.
(
x

15
)
(
x

1
)
(
x
-
15
)
(
x
-
1
)

by which when 625 is divided , will make the quotient a perfect cube​

Answers

Answer:

[tex]\boxed{\bold{\huge{\boxed{5}}}}[/tex]

Step-by-step explanation:

625 when divided by 5 gives 125 which is a perfect cube.

=> [tex]\sf \frac{625 }{5 } = 125[/tex]

[tex]\rule[225]{225}{2}[/tex]

[tex]\sf \ \sqrt[3]{125} = 5[/tex]

So, 5 needs to be divided by 625 to make the quotient a perfect cube!

Simplify this numerical expression: 17 - 5 · 2 + 3

Answers

Answer:

10

Step-by-step explanation:

17 -5 times 2 + 3

Step 1:

17 - 10 + 3

Step 2:

7 + 3

Step 3:

10

Answer:

10

Step-by-step explanation:

Equation:

17 - 5 times 2 + 3

First Step:

Multiplying is first in the order of operations so

17 - 10 + 3

Second Step:

Then adding and subtracting are the same so you do the equation left to right

7 + 3

Answer:

Then you just add it

10

Tracey paid $155 for an item that was originally priced at $520. What percent of the original price did Tracey pay? Around to the nearest tenth of a percent

Answers

You adding , subtracting , multiplying or dividing ?

Tracey paid approximately 29.8% of the original price for the item.

To find the percentage of the original price that Tracey paid, we can use the formula:

Percentage = (Amount Paid / Original Price) * 100

Let's plug in the given values:

Percentage = (155 / 520) * 100

Percentage = 0.2980769230769231 * 100

Percentage ≈ 29.8%

So, Tracey paid approximately 29.8% of the original price for the item.

To know more about original price:

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what is the value of the product {3-2i][3+2i}

Answers

(3-2i)(3+2i)
=9+6i-6i-4i^2
i^2=-1
=9-4(-1)
=9+4
=13

Hope this can help.

Answer:

13

Step-by-step explanation:

Step 1: Write out expression

(3 - 2i)(3 + 2i)

Step 2: FOIL

F - 9

O - 6i

I - -6i

L - -4i²

Step 3: Combine

9 + 6i - 6i - 4i²

Step 4: Combine like terms

9 - 4i²

Step 5: Simplify

i² = -1

9 - 4(-1)

9 + 4

13

when you are adding 5+2 what do you get?

Answers

Answer:7

Step-by-step explanation:

5+2=7

8 x 105 is how many times as great as 8 x 10-1?
A. 10-4
B.10- -6
C. 10-6
D. 10 - -4

Answers

Answer:

1050 times larger

Step-by-step explanation:

simply multiply two expression and divide the first by the the second

(8×105)/(8×10^-1)= 1050

Aiden had saved $22 before he earned $25 mowing a lawn . He then spent $32 on a suitcase . How much money does he have now? Explain how you found your answer

Answers

Answer:

$15

Step-by-step explanation:

22+25=47

47-32=15

So Aiden has $15.

Which of the following employees has the greatest total employee compensation? a. Employee A: total job benefits $68,100 and total job expenses $100
b. Employee B: total job benefits $68,400 and total job expenses $300
c. Employee C: total job benefits $68,700 and total job expenses $800
d. Employee D: total job benefits $69,000 and total job expenses $1,000
Please select the best answer from the choices provided
A
B
C
D (not D)

Answers

Answer:

its b

Step-by-step explanation:

got a 100 on quiz

The best or greatest total employee compensation will be Employee B: total job benefits $68,400 and total job expenses $300 so option (B) will be correct.

What are subtraction and summation?

Subtraction is the minus of any two numbers generally it gives a lower value than the digits which are going to be in the substrate.

A summation, which is the result of adding two or more numbers or quantities, is also known as a sum. A summation always has an integer number of terms. There might simply be two terms, but there might also be 100,000 or a million. Summations exist with an infinite number of parameters.

Given that

In option (B) job benifits $68,400 and job expenses $300 hence the remaining amount =  $68,400  - $300 = $68100 which is greatest among all option

In option (A) the job beneifits $68,100 and job expenses $100 hence the remaining amount =  $68,100  - $100 = $68000  which is less than A and in all option it is less

For more information about summation and subtraction

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What is the value of the expression (9x3)+7

Answers

Answer:

34

Step-by-step explanation:

(9x3)+7

PEMDAS says parentheses first

27+7

34

Answer: 34

Explanation: according to PEMDAS, the equation in the parenthesis are first. 9 x 7 = 27. 27 + 7 = 34

Help...The sum of three consecutive integers is -33. Find the middle integer.

Answers

Find the middle integer. In a set of three consecutive integers, the middle number is the average of the first and last. Since the sum of the first and last is 72, the middle number is 72/2 = 36.

What are the x-intercepts of the graph of the function f(x) = x^2 + 4x – 12?
(-6,0). (2.0)
(2. -16). (0, -12)
(-6.0), (2, -16), (2, 0)
(0.-12).(-6, 0), (2, 0)​

Answers

Answer:

(- 6, 0 ) , (2, 0 )

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

x² + 4x - 12 = 0 ← in standard form

(x + 6)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 2 = 0 ⇒ x = 2

Thus the x- intercepts are (- 6, 0 ), (2, 0 )

What is the answer to 7-3(x+6)=7-4x

Answers

The solution to your question is x=9

I think that the answer to your question is: x = 9

.-4(8 -c) - (3c + 7)

Answers

Answer:

c-39 is the answer

Step-by-step explanation:

multiply the numbers that are in bracket

-4(8-c)-(3c+7)

the answer will be this

-32+4c-3c-7

ARRANGE IN LIKE TERM

-32-7+4c-3c

c-39 is the answer

Hope it is helpful for you

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3. the product of 33 and j
write an algebraic expression ​

Answers

Answer:

"the product" is multiplication.

x

"33 and j"

33 x j

33jr 33

Mulipaction :)

5. Ethan runs 5 miles in 1/2 of the hour. How many miles will he run in 1 hour? *
(10 points)

A. 20 miles per hour
B. 4 miles per hour
C. 10 miles per hour
D. 8 miles per hour

HELP PLEASE

Answers

Answer:

C

Step-by-step explanation:

Because you times 5 by 2 to get 10 as the answer.

The altitude of an airplane is represented in the graph below. A graph with time (minutes) on the x-axis and altitude (feet) on the y-axis. Points are at (0, 0), (20, 12,000), (40, 24,000), (60, 36,000), (80, 36,000), (100, 36,000), (120, 36,000), (130, 36,000), (140, 24,000), (160, 12,000), and (180, 0). Is the airplane’s altitude a function of time? Yes, because any input of time results in only one output of altitude. Yes, because the airplane increases and decreases in altitude at the same rate. No, because each output of altitude has more than one input of time. No, because the altitude is constant between 60 minutes and 130 minutes.

Answers

Answer:

A

Step-by-step explanation:

Answer:

A.) yes

Step-by-step explanation:

3 lines are shown. A line with points A, F, D intersects a line with points B, F, E at point F. A line extends from point F to point C in between angle B F D. Which angle is a vertical angle with AngleEFD? AngleDFB AngleCED AngleBFC AngleAFB

Answers

Answer:

AngleAFB

Step-by-step explanation:

We know that vertical angles are angles that opposite each other when two lines intersect. They share a common point or vertex.

In the question, the angle opposite to angle EFD is angle AFB. This is because they share a common vertex.

Since they share a common vertex and are opposite to each other, angle AFB is the angle vertical to angle EFD.

So, the angle vertical to angle EFD is angle AFB.  

Answer:

angle afb

Step-by-step explanation:

took edge test

26-4s=9s solve the equation

Answers

Answer:

26=9s+4s

13s=26

s=26/13

s=2

Step-by-step explanation:

hope it is helpful for you if it is follow me

Answer:

s=2

Step-by-step explanation:

We are given the equation:

[tex]26-4s=9s[/tex]

and asked to solve. We want to find out what the unknown variable, s, is. Therefore, we must isolate s on one side of the equation.

First, let's get all the terms with s on one side of the equation. 4s is being subtracted from 26. The inverse of subtraction is addition. Add 4s to both sides of the equation.

[tex]26-4s+4s=9s+4s[/tex]

[tex]26=9s+4s[/tex]

[tex]26=13s[/tex]

s is being multiplied by 13. The inverse of multiplication is division. Divide both sides of the equation by 13.

[tex]26/13=13s/13[/tex]

[tex]26/13=s[/tex]

[tex]2=s[/tex]

[tex]s=2[/tex]

Let's check our solution. Plug 2 in for s and solve.

26-4s=9s

26-4(2)=9(2)

26-8=18

18=18

This checks out, so we know our solution is correct.

The solution to the equation 26-4s=9s is s=2.

given: ∠ABD ≅ ∠BDE
prove: ∠CBD ≅ ∠CDB

__ __
BD≅BD - Reflexive Property
why is ∠CBD ≅ ∠CDB?​

Answers

Answer:

See Explanation

Step-by-step explanation:

∠ABD ≅ ∠BDE..... (given).... (1)

m∠ABD + m∠CBD = 180°... (straight line ∠'s)... (2)

From equations (1) & (2)

m∠BDE + m∠CBD = 180°....(3)

m∠BDE + m∠CDB = 180°... (straight line ∠'s)... (4)

From equations (3) & (4)

m∠BDE + m∠CBD = m∠BDE + m∠CDB

m∠CBD ≅ m∠CDB.. (Proved)

What is 159 x 7 = ?

Answers

Answer:

the answer is 1,113 my friend

Answer:

the answer is 1,113

Step-by-step explanation:

you just multiply 159 times 7 and it gives you 1,113

big water canoeing company rents conoes for 75$ per hour. explain why the point (0,0) and (1, 75) are on the graph of the relationship and ahag these points mean in the context of the problem

Answers

The X (1) axis represents the number of hours, and the Y (75) axis represents the number of dollars. When 0 hours are passed, 0 hours are payed (0,0) 1 hour 75 dollars are payed (1, 75) 2 hours 150 dollars is payed (2, 150) and so on
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