Peter set off from Town A at 10 am, driving at an average speed of 84 km/h. He reached
Town B at 2 pm. If William set off 1 hour 25 minutes earlier than Peter and took the
same route at an average speed of 70 km/h, at what time would William reach Town B?

Answers

Answer 1

Peter left Town A around 10 a.m., traveling at an average speed of 84 km/h. William would reach Town B at 1:23 PM.

Firstly, we need to find the distance between Town A and Town B which can be calculated by calculating the distance travelled by Peter

Time taken by Peter = 2PM - 10AM

= 4 hrs

Speed of Peter = 84 km/h

Distance travelled by Peter = speed × time

= 84 × 4

= 336 km

So, the distance between Town A and Town B  = distance travelled by Peter = 336 km.

Now, we will calculate time taken by William.

Speed of William = 70 km / hr

Distance travelled by William = distance between Town A and town B = 336 km

Time taken by William = distance / speed

= 336 / 70 hr

= 4.8 hr

This can b converted into hrs and minutes

4.8 hr = 4 hr + 0.8 × 60

= 4 hr 48 mins

Time William took off = 10 AM - 1hr 25 mins

= 8:35 AM

Now, we will calculate the time William would reach town B.

Time = 8:35 + 4hr 48 mins

= 1:23 PM

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Related Questions

Complete the function table,
then list the domain of the function
Domain

What’s the next numbers ?

Answers

Answer:

f(x)=x-2

f(2)=2-2=0

f(3)=3-2=1

you only have attach the number to x

Answers:

Second row:  0Third row:   3-2   and  1

====================================================

Explanation:

The first column is the list of x values we plug into the function. The second column describes what happens to those x inputs. Namely, we subtract off 2. In the first row, it shows 0-2 after replacing x with 0. This leads to the result of -2 since 0-2 = -2.

In the second row, we have the input x = 2 turn x-2 into 2-2 = 0. So that's why 0 goes in the blank for the second row.

In the third row, we have x-2 = 3-2 = 1. So we'll have 3-2 go in the first blank of row 3, and the value 1 go in the second blank of this same row.

5. David Read's the problem:

Ally bought a T-shirt and a pair of shorts on sale which
reduced prices by 1/4. The total savings on the 2
garments was $10.25. Find the original price for the
pair of shorts.

David says that the original price of the shorts was $41.
Does his answer seem reasonable? Defend your
answer by writing and solving an equation that
represents the situation.

Answers

Answer:

No, David's answer does not seem reasonable.

Let x= original purchase amount

25x = $10.25, so solve for x by dividing both sides by .25, and you get x = $41.

If the shirt was $18, the shorts must have been $41-$18 = $23 NOT $41.

Step-by-step explanation:

you are working to save money for a trip you need to save 1500 you already saved $250 saved, and make $10 an hour at your job whites and solve an equation to represent how many hours, h, you need to work to make the rest of the money

Answers

Answer:

125 hrs

Step-by-step explanation:

1500-250=10h

simplify

1250=10h

divide both sides by 10

h=125

125 hrs

Please help, this is due soon

Answers

Answer:

4

Step-by-step explanation:

If I remember correctly you can not have the arrows on the same y axis

Given the points (-5,-7) and (-2,-8), calculate
the slope.
(I NEED THIS ANSWER ASAP!)

Answers

Answer:

Slope is -1/3

Step-by-step explanation:

(-5,-7)(-2,-8)

-8+7/-2+5

-1/3

m=-1/3

Answer:

Slope=-1/3

Step-by-step explanation:

s2t-10
if s = -8 and
T= 3/4 please show how you got the answer

Answers

First substitute- (-8)(2)(3/4)-10// it goes to (-16)(3/4)-10// which goes to -12-10// which -12-10=-22

Aaron mows lawns and makes $70 per week. Last week
he spent $15 on gas and spent 5 hours mowing all of the
lawns. How much did he earn per hour?

Answers

If I’m correct he earned $3 per hour mowing lawns. How I got this is because I divided 15 by 5 and thts how I got 3. Hope this helps :)

81.04 x 0.010 answer please

Answers

Answer:

0.8104

Step-by-step explanation:

Answer:

0.8104

Step-by-step explanation:

Take the 0 out of the end of the 0.010 because there is no reason for it to be there.

Then you just multiply 81.04 by 1 because the rest of 0.01 is just zeros and the you get 81.04.

Then you count the decimal places in 0.01 which you get two so you move the decimal in 81.04 two times to the left.

Your answer should be .8104

I hope this helps!!!!

what is the solution for 5(m-3) ≥ 7m-2.4 ?

Answers

Answer:

Step-by-step explanation:

5(m-3)≥7m-2.4

5m-15≥7m-2.4

2m≤-12.6

m≤-6.1

Answer:

m>6.3

Step-by-step explanation:

Bonnie has 4 sharpened and 8 unsharpened pencils in her pencil case. She randomly selects 2 of the pebcils from the box without replacement. What is the probability that both pencils will be sharpened? A. 1/2 B.1/9 C. 4/33 D.1/11

Answers

Answer:

D. 1/11.

Step-by-step explanation:

There are 12 pencils in the case.

Prob( first one is sharpened) = 4/12 = 1/3

Prob(second is sharpened) = 3/11

Prob(both sharpened) = 1/3 * 3/11

= 3/33

= 1/11.

The probability is 1/11 that both pencils will be sharpened which is the correct option(D).

What is probability?

The probability is defined as the possibility of an event being equal to the ratio of the number of outcomes and the total number of outcomes.

Given that,

Bonnie has 4 sharpened and 8 unsharpened pencils

So, there is a total of 12 pencils in the pencil case.

Let, the probability first one is sharpened is P(E₁)

The probability second one is sharpened is P(E₂)

P(E₁) = 4/12 = 1/3

P(E₂) = 3/11

Required probability both sharpened P(E) = P(E₁)×P(E₂)

Required probability both sharpened P(E) = 1/3 × 3/11

Required probability both sharpened P(E) = 3/33

Required probability both sharpened P(E) = 1/11.

Hence, the probability is 1/11 that both pencils will be sharpened.

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What is the value of y?
2y
Y+10
50°

Answers

Answer:

The question is incorrect. Please rewrite the question.

The ratio of cows to goats in a farm is 3:2 if there are 210 more cows than goats how many animals are there in the farm​

Answers

Answer: 350 animals altogether.

Explanation: We need to find the number of goats and add that to the 210 cows.

Since we have a ratio, we can use the equation 3/2=210/x.

Cross multiplying gives us 3x=420, where x is 140 goats.

Finally, 140+210=350.

Question Help
$
11.3.IP-8
John is knitting a blanket. He records the length he knits each day. How many more inches does
John need to knit so the blanket is 54 inches?

Answers

I'm not sure. Don't be angry but this is my first time on this app but it helps a lot and i would also like to help but it seems that I'm the one who needs help.

To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let t be the number of hours since the start of the study. Let y be the number of bacteria cells. Write an exponential function showing the relationship between y and t.​

Answers

The function that models exponential growth is:

P(t) = P0*(1 + r)^t, where

P0 = P(0) is the initial value of P

r is the growth rate as a decimal

In our case we have:

P(0) = 2800

r = 0.035 or 3.5%

P(t) = 2800*(1 + 0.035)^t

P(t) = 2800*(1.035)^t

The same exponential function written using y and t is:

y = 2800*1.035^t.

Explanation: https://softmath.com/algebra-word-problems/to-begin-a-bacteria-study-a-petri-dish-had-2800-bacteria

A function and its inverse are shown on the graph.
y
y
6
f(x)
4
Which answer pairs a possible domain restriction
for f(x) and its corresponding impact on f'(x)?
O f(x) domain: x 2 1
f'(x) domain: x 2 1
Of(x) domain: x 2 1
f'(x) range: y21
Of(x) domain: XS-2
f'(x) domain: x = -2
Of(x) domain: xs-2
f'(x) range: ys-2
2.
x
+
-2
2
4
6
-2
f (x)
-6

Answers

Answer:

not: f(x) domain: x ≤ -2

f^-1(x) range: y ≤ -2

Step-by-step explanation:

The possible domain restriction for f(x) and its corresponding impact on f'(x) is f(x) domain: x < 1, f'(x) domain: x < 1.

How to find the function which used to make graph?

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We are given that;

The graph of function

Now,

Looking at the graph, we can see that the function and its inverse are reflections of each other across the line y = x. This means that the domain of the inverse function corresponds to the range of the original function, and vice versa.

From the graph, we can see that the original function f(x) has a vertical asymptote at x = 1. This means that the function is undefined at x = 1.

Therefore, a possible domain restriction for f(x) is x < 1, which would exclude x = 1 from the domain. The corresponding impact on f'(x) would be that f'(x) would also be undefined at x = 1.

So, the answer that pairs a possible domain restriction for f(x) and its corresponding impact on f'(x) is:

f(x) domain: x < 1

f'(x) domain: x < 1

This is because the domain of f(x) is restricted to exclude x = 1, and the corresponding impact on f'(x) is that it is also undefined at x = 1.

Therefore, by the graphed function the answer will be f(x) domain: x < 1, f'(x) domain: x < 1.

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Is (-4,-4) a solution of y> -6x - 1?
Choose 1 answer:
Yes
No

Answers

Answer:

no........... is not the answer

A rectangle has an area of 64 ft squared. If the length of the rectangle is x ft and the width of the rectangle is x to the 1/2 ft, find the length and width of the rectangle.

Answers

Answer:

I DONT KNOW BUT YOU HAVE TO CHECK OUT MY QUESTION NO OE CAN SOLVE IT I BET

Step-by-step explanation:

On a map, Breanne measured the distance (as the crow flies) between Los Angeles, California and San
Francisco, California at 2 inches. The scale on the map is 1/4 inch = 43 miles. What is the actual
straight-line distance between Los Angeles and San Francisco?

Answers

the straight line distance is 344

a bottle of orange juice holds for 4/6 quarts of juice. a bottle of pineapple juice holds 2/3 quarts of juice. which bottle has more juice ​

Answers

Answer:

the orange juice has more ounces than the pineepple juice

Step-by-step explanation:

2 1/3 x (-3 2/7) what does it equal I’m doing “multiplying signed fractions”

Answers

The answer to this question is -32


[tex] {a}^{2} {a}^{4} {a}^{5} answer \: a40 \: or \: a11 [/tex]

Answers

It’s a tiny the power of 11
2+4+5 = 11
Pls mark as brainliest

Carly purchased pints of ice cream for a party. If each guest will be served exactly
pint of ice cream, what is the greatest number of guests that Carly can serve?

Answers

Answer:

I do not understand the question I am so sorry :(

Step-by-step explanation:

The radius of a quarter circle is 2 yards. What is the quarter circle's perimeter?

Answers

12.57.
The perimeter (circumference) of a circle can be found with either c= πd or c=2πr
(The d is diameter)

Please help me in struggling with this

Answers

Answer:

Step-by-step explanation:

21

16

27

15

70

Answer:

Step-by-step explanation:

Hello!

I think I can help.

Lets use the first problem and walk through it and I think it could help you with the others.

3/7 = ?/49

So basically with these problems you are working backwards. You are working right to left and dividing to figure out what you will need to multiply the other part of the fraction by.

So here we have 49 and 7 that line up with each other. (Always look for the fractions that line up horizontally)

Going right to left and dividing :

49 / 7

= 7

So we know that it was 7 x 7 to get that 49

So now we used the number we just found by dividing (7) and multiply it left to right by the other number to find the missing number (?).

If we do this we do :

3 x 7

= 21

And that is the missing number !

We plug that in right where the blank is (?) and we get :

3/7 = 21/49

I am not sure if you have to simplify this but you cant anyways. If you have questions about simplifying ask in the comments.

To check this we can actually multiply the side that had two numbers to begin with (the left side numbers) and multiply it by the number we found by dividing (7).

So we do this with 3/7 :

3 x 7 = 21

7 x 7 = 49

if we plug this back in we get :

21/49 = 29/49 and we know this is correct.

I hope this helps you solve the other problems. If you have any questions or are still confused with others please message me or comment and I will do what I can to help.  :)

There are 285 sixth graders going on a class trip to the museum.each bus can hold
25 students. How many buses will be needed to transport all the students? Will all the buses be fuller? If not how many students will be on the last bus.
the buses be filled? If not, how many stuc

Answers

Answer:

12 Busses

10 in the last bus

Step-by-step explanation:

275 in 11 busses and 10 in 12th bus

If you can answer these simple questions im giving brainly :)

Answers

Answer:

65   3    46

Step-by-step explanation:

Answer:

a² + 1 = 65

18/2a = 3

6(d + 8) - 10d = 46

Step-by-step explanation:

a² + 1 when a = 8

first, plug in 8 for a.

a² + 1 ⇒ 8² + 1

begin simplifying by finding , which is just 8 · 8.

+ 1 ⇒ 64 + 1

finish simplifying by adding 64 + 1.

64 + 1 = 65

therefore, when a = 8, a² + 1 = 65.

18/2a when a = 3

first, plug in 3 for a.

18/2a ⇒ 18/2(3)

begin simplifying by multiplying 2 · 3.

18/2(3) ⇒ 18/6

finish simplifying by dividing 18 ÷ 6.

18/6 = 3

therefore, when a = 3, 18/2a = 3.

6(d + 8) - 10d when d = 1/2

(i'm going to convert 1/2 to 0.5 because i prefer working with decimals rather than fractions)

so... 6(d + 8) - 10d when d = 0.5

first, plug in 0.5 for d.

6(d + 8) - 10d ⇒ 6(0.5 + 8) - 10(0.5)

begin simplifying by distributing 6 to 0.5 and 8, which is just 6 · 0.5 and 6 · 8.

6(0.5) = 36(8) = 48

after distributing, your expression is 3 + 48 - 10(0.5).

continue simplifying by multiplying -10 · 0.5.

3 + 48 - 10(0.5) ⇒ 3 + 48 - 5

add 3 + 48.

3 + 48 - 5 ⇒ 51 - 5

finally, finish simplifying by subtracting 5 from 51.

51 - 5 = 46

therefore when d = 1/2 or 0.5, 6(d + 8) - 10d = 46.

i hope this helps! have an amazing day <3

Exit
Justin is going to the school dance. He went to the mall and bought two new shirts for $21.99 each and a new pair of dress shoes for $45.59. Which two operations would be used in order to figure out how much he spent at the store?
A. multiply and add
B. add and subtract
C. multiply and subtract
D. divide and add

Answers

Answer:

its letter A multiply and add

A) I believe is the correct answer

The amount of time needed to complete a certain roadtrip, t, varies inversely with the speed of a vehicle, s. At a speed of 52 miles per hour, the trip will be complete in 12 hours. How many hours would it take at a speed of 48 miles per hour?

Do not include the units in your answer.

Answers

Proximally 4 Hours if not then try brainly’s quick answers

At a speed of 48 miles per hour, it would take 13 hours.

What is speed?

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

Given:

The amount of time needed to complete a certain road trip, t, varies inversely with the speed of a vehicle, s. At a speed of 52 miles per hour, the trip will be complete in 12 hours.

Distance is constant.

And we know the formula:

Distance = speed x time

              = 52 x 12

              = 624 miles

Now to find the time:

Now for speed = 48 miles per hour

time,

t = distance / speed

 = 624/48

 = 13 hours

Therefore, 13 hours would it take at a speed of 48 miles per hour.

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A rectangle has a length of (x+3) centimeters and a width of 1/2 x centimeters. If the perimeter is 24 centimeters, what is the length of the rectangle?

Answers

Answer:

Step-by-step explanation:

Perimeter = 2L + 2W = 24

L+W = 12

(x+3)+(x/2) = 12

2x+6 +x = 24

x = 6 cm

L = x+3 = 9 cm

what is the probability that the red shows a six or the green die shows a six?

Answers

Answer:

11/36

Step-by-step explanation:

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