Clint and Jim rode their bicycles to Mill Park at an average of 8 mi/hr. It took then 1 hr longer to return home riding at an average of 7 mi/hr on a route that was 4 mi longer than their route. How long were they riding their bicycles? How man miles did they ride each way?

Answers

Answer 1

Answer:

Total time for which they ride = [tex]\bold{7\ hours}[/tex]

Number of miles they ride each way = 24 mi

Step-by-step explanation:

Average speed = 8 mi/hr

Let the Distance to Mill Park = [tex]D[/tex] mi

Let the time taken = [tex]t[/tex] hours

Formula:

[tex]Distance = Speed \times Time[/tex]

[tex]\Rightarrow D = 8t[/tex] ..... (1)

Now, when average speed = 7 mi/hr

Time taken is 1 hour more, i.e. Time = [tex]t+1[/tex] hours

Distance traveled is 4 mi more, i.e. [tex]D+4[/tex] mi

Using the Formula:

[tex]Distance = Speed \times Time[/tex]

[tex]D+4=7\times (t+1)[/tex]

From equation (1):

[tex]8t+4=7t+7\\\Rightarrow t=3\ hours[/tex]

From equation (1):

[tex]D = 8 \times 3 = 24\ mi[/tex]

Total time for which they ride = [tex]t+t+1 = \bold{7\ hours}[/tex]

Number of miles they ride each way = 24 mi


Related Questions

3. Factor x2 + 5x + 6.

Answers

Answer:

( x+3) (x+2)

Step-by-step explanation:

x^2 + 5x + 6.

What two numbers multiply to 6 and add to 5

(3*2) = 6

3+2 = 5

( x+3) (x+2)

Answer:

[tex]\left(x+2\right)\left(x+3\right)[/tex]

Step-by-step explanation:

[tex]x^2+5x+6\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+2x\right)+\left(3x+6\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+2x\mathrm{:\quad }x\left(x+2\right)\\\\\mathrm{Factor\:out\:}3\mathrm{\:from\:}3x+6\mathrm{:\quad }3\left(x+2\right)\\=x\left(x+2\right)+3\left(x+2\right)\\\\\mathrm{Factor\:out\:common\:term\:}x+2\\=\left(x+2\right)\left(x+3\right)[/tex]

Plz help! Ive been stuck on this for hours!!!!

Answers

Answer:

h[tex]\geq[/tex]8

Step-by-step explanation:

h-(-2)[tex]\geq[/tex]10=h+2[tex]\geq[/tex]10

subtract 2 on both sides to get h[tex]\geq[/tex]8

h must be greater than ir equal to 8

What is equivalent to -36 -8

Answers

Answer:

B

Step-by-step explanation:

It's not A because the 8 is positive.

It's not C because the 36 is positive.

And it's not D because both numbers are positive.

There are 200 pupils in year 11.
125 are female, of these 68 have school dinners.
52 boys have school dinners.
Use this information to complete the frequency tree.

Answers

Answer:

Sbsnsndndndjjbsndmmdmddndndn

Step-by-step explanation:

Bsbsnsjsjskdkck

a building is 3.1×10^2 feet high.a new roof increased its hight by 0.00005 feet how high is the building now​

Answers

you get this 177 and that would be it

What is 2x+x+7x+4y-2y

Answers

10x+2y, this is the simplified version

Answer:

2x +x +7x +4y -2y= 3x +7x +2y=10x +2y= 2×(5x +y)

Plz help fast aaaaaaaaahhhhhhhh

Answers

Answer:

70

Step-by-step explanation:

250 costumers who bought gas

72% of the costumer made an additional purchases.

find:

how many of the costumers made additional purchases?

solution:

250 - (0.72 x 250) = 70

What is the number in scientific notation of 0.0765

Answers

Answer:

7.65x10^-2  should be your answer

Step-by-step explanation:

Kenji scores 23 points per coin. After collecting a total of 2 coins, how many points will Kenji have scored in all?

Answers

Answer:

46

Step-by-step explanation:

23 x 2 = 46

Hope this helps!

Middle schoolers help!!!!!!!Witch expresion has the same value has the model bellow!

Answers

Answer:

Its the second one 4-(-8)

terry earn $35.75 for working for 5 hours. how much did terry earn per hour

Answers

Answer:

Step-by-step explanation

Divide 35.75 and 5 and you get 7.15 an hour .

(-5)-9=
A.-19
B.-9
C.9
D.19

Answers

Answer:

-14 is the answer

cos' -5 - 9 is like you owe 5 dollars and you owe 9 dollars that is you owe 14 dollars so because you owe it will be -14

Step-by-step explanation:

Please mark me as the brainliest. It really helps

Why might this information be important to Jack in the Box?

Answers

Answer:

They have the most sales on Thursdays, and the least sales on Friday, so they might want to have specials on Friday to get more people.

Is 7.87400787401 a rational or irrational number?

Answers

It’s an Irrational number

The label on Emma's muffin said that one serving provided 6 grams of fat, which is 10% of the recommended daily amount. What is the total recommended daily amount of fat?

Answers

0.6 because 6 divided by 10% is 0.6

A bicyclist travels at a constant speed of 18 miles per hour for a total of 27minutes. Choose the function, the domain and the range according to the situation.

Answers

Answer:

domain is (xo ≤ x ≤ 0.45 )

range is  (xo ≤ y ≤ 8.1 )

Step-by-step explanation:

given data

constant speed = 18 miles per hour

total time = 27 minutes = 0.45 hour

solution

we consider here  Domain number of hours   = x and Range distance traveled  = y

we apply here distanace formula that is

Distance = speed × time    .........................1

put here value

Distance = 18 × 0.45 = 8.1 miles

and no of hours x = 0 to 0.45 hours

so here

So domain is (xo ≤ x ≤ 0.45 )

and

Distance is 0 to 8.1 miles

So range is  (xo ≤ y ≤ 8.1 )

PLEASE HELP I HAVE 30 POINTS Part A: If (6^2)^x = 1, what is the value of x? Explain your answer. (5 points) Part B: If (6^0)^x = 1, what are the possible values of x? Explain your answer. (5 points)

Answers

Answer:

Part A: 0

Part B: All real numbers

Step-by-step explanation:

Part A:

We have:

[tex](6^2)^x=1[/tex]

First, let's evaluate the square:

[tex]36^x=1[/tex]

Now, what to the xth power will equal 1?

Remember the fact that anything (except for 0) to the zeroth power is 1.

Therefore, our x is 0:

[tex]36^0=1[/tex]

Part B:

We have:

[tex](6^0)^x=1[/tex]

Like mentioned previously, anything to the zeroth power is 1. Thus:

[tex]1^x=1[/tex]

Now, 1 is a special base because 1 to any (real) power is still going to be 1. For example:

[tex]1^0=1,1^1=1,1^{999},\text{ and } 1^{\pi}=1[/tex]

Therefore, our values of x is all real numbers.

And we're done!

If f (x) = -2x-3 and g (x) =x^2+5x find g (2) -f(3)

Answers

g(2)=2^2 +5(2)=14
f(3)=-2(3)-3=-9

g(2)-f(3)=14-(-9)=14+9=23

How to solve
- 2b
-- 5(b-6)

Answers

(b + 2) • (b - 1) • (b - 3)

Answer:

-2b

-5b+30

Step-by-step explanation:

-2b

-5×b= -5b

-5×-6= (+)30

cancels out the negative because a negative times a negative is a positive

What is 7.96 repeating as a mixed number in simplest form

Answers

Answer:

Ion even know jus need points

Step-by-step explanation:

NEED HELP ASAP PLEASE ON ALL OF THEM !!!!

Answers

SNKRS watch Poseidon last by laughably Lance

Is 4.85912 rational number

Answers

Yes, it is a rational number. It is a rational number because you can write it as a fraction.

If it is 5º outside and the temperature will drop 17º in the next six hours,how cold will it get? *

Answers

Answer:

-12 degree hope this helps you

Step-by-step explanation:

:

5 - 17 = -12

Answer:

_________

-12 degrees.

help w this / asap! ​

Answers

Answer:

The answer should be p >= 7

find the distance between each points (-1,4) (1,-1)

Answers

Answer: The distance is about 5.39 units

Step-by-step explanation:

To find the distance between the two points find the difference in the x and y coordinates and square them to add them and find their square root.

4-(-1) = 5

-1 -1 = -2

5^2 + -2^2 = d^2  where d is the distance

25 + 4 = d^2

29 = d^2

d = [tex]\sqrt{29}[/tex]

d= 5.39

Please help. What is the answer to the Algebra 2 question

Answers

Answer:

(- ∞,1]

Step-by-step explanation:

Which numbers in set A = {-7,-4,2,14,21,34,42} are elements of both set B and set C, shown below?

Set B= {even numbers} Set C= {multiples of 7}

_______ or ________
Enter answers from smallest to largest

Answers

Answer:

Hey there!

The numbers in set A and B are 14, and 42.  

Let me know if this helps :)

Answer:

14 & 42

Step-by-step explanation:

Because they are the only even numbers found in set A. And also found in the multiplies of 7 in set B.

The area of a rectangle is 25/42 and its width is 5/6. What is the length? ASAP

Answers

Answer:

[tex]length = \frac{25}{28} [/tex]

Step-by-step explanation:

Let the length of the rectangle be l

Area of a rectangle = length × width

From the question

Area = 25/42

width = 5/6

Substitute the values into the above formula and solve for the length

That's

[tex]length = \frac{area}{width} [/tex]

So we have

[tex]length = \frac{25}{42} \div \frac{4}{6} \\ = \frac{25}{42} \times \frac{6}{4} \\ = \frac{25}{7} \times \frac{1}{4} [/tex]

We have the final answer as

[tex] \frac{25}{28} [/tex]

Hope this helps you

an adult panda will eat at least 20 pounds of bamboo every day. What an inequality that expresses this situation. ​

Answers

Answer:

is greater than or equal to 20

A basketball concession stand sells soda for $1.50, a bag of popcorn for $.50, and a candy bar for $1.25. At one game, 17 fewer candy bars were sold than bags of popcorn. That same night, the number of sodas sold was 7 more than the number of candy bars and bags of popcorn sold altogether. If the concession stand made $130 that night, how many of each item were sold?

Answers

Answer:

87 I am getting points yayyyy

Other Questions
The acceleration of a particle traveling along a straight line is a=16s1/2 m/s2, where s is in meters.If v = 0, s = 3 m when t = 0, determine the particle's velocity at s = 6 m. You spin the spinner twice what is the probability of landing on 6 and then landing on 6 again Donovan spent 2/15 hour walking to the mailbox, 1/6 hour walking to the library, and 2/10 hour walking to the park. Which took Donovan the longest amount of time to walk to? Explain. -what is the solution to this equation -16x=80 y=1\2x+3. y=5. pls help solve by substitution . -3(-9v 4) 2(v 2) Explanation:10. Jack and Jill were working on their homework together but ended up with two differentanswers to the same problem. The problem asked for a new line, parallel to y=2x+3, andcontaining the point (-2,-2). Who got the problem correct? Explain your reasoning?Jack:y-2 = 2(x - 2)y-2 = 2x - 4y = 2x - 2Jill:y + 2 = 2(x + 2)y + 2 = 2x + 4y = 2x + 2Answer:Explanation: (-2m^3n^4)^x=-8m^9n^12 Based on your knowledge of flood-prone areas, where would similar technology be useful in the United States? (Question is on the picture) ok so I need help on this question. How would you evaluate this expression, -8x + 5 -2x - 4 + 5x when x=2. How would you write the expression in simplest form? want to make confetti. In order to get the right balance of ingredients for their tastes they bought 2 pounds of paper hearts at $ 3.42 per pound comma 2 pounds of sparkling stars for $ 3.93 per pound comma and 5 pounds of shiny coils for $ 2.53 per pound. Determine the cost per pound of the confetti. Veronica deposited $11 in a savings account that earns 1.9% simple interest. Which graph represents this scenario? What is the meaning of the word Environment? Where do we derive the word from? What are the components of environment? Give examples of each components somebody plz solve this in 5 mins plzzzz Lua has a red ribbon that is 2 1/12 inches long she has a blue ribbon that is 4 times as many inches long. how many inches long is the blue ribbon 20=10-2y+4+4y what does y equal Compare your response to the sample response. Which of these did your response include? Check all of the boxes that apply.[] The real number is on the number line, but the complex number is in the complex plane. [] Both are distances. [] Both are positive values. [] The distance formula or the Pythagorean theorem is used to calculate the absolute value of a complex number. What is the edge length of a face-centered cubic unit cell made up of atoms having a radius of 175 pm This questions has been a headaching me for a while. Please if anyone knows this answers?! What are the 6 different parts of a recipe?