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

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It’s an Irrational number

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

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Answer:

is greater than or equal to 20

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.

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]

help w this / asap! ​

Answers

Answer:

The answer should be p >= 7

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!

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

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 .

What is the number in scientific notation of 0.0765

Answers

Answer:

7.65x10^-2  should be your answer

Step-by-step explanation:

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

Answers

Answer:

Its the second one 4-(-8)

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

(-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

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.

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

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!

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.

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 )

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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.

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Answers

g(2)=2^2 +5(2)=14
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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)

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

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There are 200 pupils in year 11.
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52 boys have school dinners.
Use this information to complete the frequency tree.

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Sbsnsndndndjjbsndmmdmddndndn

Step-by-step explanation:

Bsbsnsjsjskdkck

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(b + 2) • (b - 1) • (b - 3)

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Step-by-step explanation:

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:

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Answers

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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SNKRS watch Poseidon last by laughably Lance
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