Jim began a 146​-mile bicycle trip to build up stamina for a triathlete competition.​ Unfortunately, his bicycle chain​ broke, so he finished the trip walking. The whole trip took 5 hours. If Jim walks at a rate of 4 miles per hour and rides at 40 miles per​ hour, find the amount of time he spent on the bicycle.

Answers

Answer 1

Answer:

3.5 hours

Step-by-step explanation:

Let us represent

The time spent walking as x

The time spent riding as y

Jim began a 146​-mile bicycle trip to build up stamina for a triathlete competition.​ Unfortunately, his bicycle chain​ broke, so he finished the trip walking. The whole trip took 5 hours.

Hence:

x + y = 5.... Equation 1

x = 5 - y

If Jim walks at a rate of 4 miles per hour and rides at 40 miles per​ hour,

The formula for Distance = Speed × time. Hence,

4 × x + 40 × y = 146 miles

4x + 40y = 146.... Equation 2

We substitute 5 - y for x in Equation 2

4(5 - y) + 40y = 146

20 - 4y + 40y = 146

Subtract 20 from both sides

20 - 20 - 4y + 40y = 146 - 20

- 4y + 40y = 146 - 20

36y = 126

y = 126/36

y = 3.5 hours

Since the time he spent raiding his bicycle is represented by "y", the amount of time he spent on the bicycle is 3.5 hours


Related Questions

Thomas elementary has 150 students who participate in sports. If 20% of these students play baseball, how many students play baseball?

Answers

Answer:

30 kids

Step-by-step explanation:

determine the domain on which the following function is increasing:

Answers

x is less than or = to 4

Using the given exponential function, determine the growth/decay factor as well as the rate of increase/decrease. Type your answers in as numbers. Example: Growth Factor: 3.5, Rate of Increase: 2.5. (Do not input your rate of increase as a percent. If there are fractions, you can input your answer as a fraction. i.e. - 4/5, or 1/10)

f(x)=200(4/5)^x

Answers

Answer:

Growth rate is -1/5

Growth factor is 4/5

Step-by-step explanation:

Here, we want to get the growth rate and the growth factor

Generally for an exponential function given as;

y = a(1 + r)^n

r is the growth rate

1 + r is the growth factor

We can express the given exponential function as follows;

f(x) = 200(1-1/5)^x

So the growth rate is -1/5

The growth factor is 1-1/5 = 4/5

PLEASE HELP!!!
write an equation in slope intercept form for all these below
14.through: (5, 1) slope=3/5
15. through:(2, -4) slope=-1
17. through:(5,-2) and (-5,3)​

Answers

Answer:

14. y= 3/5x-2

15. y= -1x-2

17. -1/2

Step-by-step explanation:

Since you have a point and a slope put it in point-slope form first.

Point-slope form: y-y1=m(x-x1)

Then solve for y.

Then you'll get the slope-intercept form.

For number 17 use the slope-intercept form y=mx+b

rise/run= m= y2-y1/x2-x1


Linda headed east at 20 miles per hour on her bicycle at 9 a.m. Three hours later Shanna headed west from the
same place, walking at 6 miles per hour. What time was it when they were 164 miles apart?

Answers

Step-by-step explanation:

Let t = time (in hrs) Linda rode her bike

Then (t-3) = Shana's time walking

:

Write a distance equation: dist = speed * time

:

Linda's dist + Shana's dist = 164

20t + 6(t-3) = 164

20t + 6t - 18 = 164

26t = 164 + 18

26t = 182

t = 182/26

t = 7 hrs, Linda is on the road

:

Time: 9 AM + 7 hrs = 4 PM, they will be 162 miles apart

:

Check using Linda's and Shana's distances:

20(7) + 6(7-3) =

140 + 24 = 164 mi


Select ALL of the equations that have infinite solutions.
A. 3x-6+2x = 5x + 3
B.
C. 2x+1-3x = 6-x+5
D. 2(x +4)-3 = 3x+5
E. 3x +1+x=9-4x-10
-5x +9+ 2x = -3(x-3)
Conly

Answers

Answer:

-5x+9+2x=-3(x-3)

Step-by-step explanation:

3x-6+2x = 5x + 3

5x-6=5x+3

0=9

No solution

2x+1-3x=6-x+5

-x+1=11-x

0=10

No solutions

2(x+4)-3=3x+5

2x+8-3=3x+5

x=0

One solution

3x +1+x=9-4x-10

8x=-2

x=-1/4

One solution

-5x +9+ 2x = -3(x-3)

-3x+9=-3x+9

Infinite solutions

-5x+9+2x=-3(x-3) has infinite solutions

Your savings account pays 1.75% interest per year. You make a $500 deposit. How much interest does the account earn in the first month.

Answers

1,75% = 0,0175

per month: 0,0175/12 = 0,00145833

500*0,00145833 = 0,73$ interest

The interest the account earn in the first month is = $0.73

The amount deposited( = $500

The payment rate per year = 1.75%

The payment time = per year(12 months)

Therefore simple interest in first month=

[tex] \frac{p \times t \times r}{100 \times 12} [/tex]

[tex] \frac{500 \times 1 \times 1.75}{100 \times 12} [/tex]

[tex] \frac{875}{1200} [/tex]

=$0.73

Therefore, the interest the account earn in the first month is = $0.73

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What is the solution to this system of equations?
A. (-1,3)
B. (3,-1)
C. (6,-2)
D. (-2, 6)

Answers

Answer:

(-2,6) 〆(・∀・@)

Step-by-step explanation:

The Two Lines intercept.

using these two points, (3, 6) and (4, 9); what is the slope?

Answers

The slope is 3.

EXPLANATION:

y2-y1
____= 3
x2-x1

You have 2 buckets of water, inside the 1st bucket the temperature of the water is 25ºC, inside the 2nd bucket the water is 25ºF. You drop a coin into each bucket from the same height and they hit water at exactly the same time. Question. Which coin touches the bottom first ?

Answers

the first bucket,because when we convert the both values in same units , we will observe that the temperature of first bucket is higher and second bucket is lower alternatively the kinetic energy in first bucket is higher and everything in it would move fast.

Please HELP ASAPAPPPP!!?!!??

Answers

Answer:

36 - 18 longest side = 18

Step-by-step explanation: This would mean both sides are 18.

The regular cost for a day pass at the swimming pool is $8. Nancy and Rachel are students at the local elementary school, so they each get a $1.25 discount. How much will they pay altogether for a day at the pool? *

Answers

Answer:

$13.50

Step-by-step explanation:

(8*2) - (1.25*2) =

16 - 2.50 =

13.50

8.00-1.25=6.75 so I believe this the answer

75 push-ups in 5 days =
push-ups per day

Answers

Answer:

Step-by-step explanation:

75 divided by 5= 15

15 pushups per day

Does anyone know how to solve this?

Answers

Answer: the zeros are 0; 9; 5

Step-by-step explanation:

Brainly y’all better help me get dis Walmart job ☠️

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Answer:

laura

Step-by-step explanation:

What is the measure of arc FEH?

Answers

Answer:

B)203

Step-by-step explanation:

FE is 23 plus H which is a straight line which means that is 180. Add 23 and 180 that get's you 203

Use the line plot to answer the question.
What is the median number of trips taken to the food store in one week?
A. 1
B. 3
C. 1.5
D. 2

Answers

Answer:

2

Step-by-step explanation:

good right solve it and rate my answer

Marcus incorrectly identities two of the key features of the graph y=3-4x. put an x next to incorrect statements. correct his errors. a. the slope of the line is 3. b. the line goes down from left to right. c. the y-intercept is -4. d. to graph the line, plot the y-intercept. then plot another point 4 units down and one unit right.​

Answers

The correct equation for the mentioned is y = 3x - 4

According to the given equation,

The graph is plotted below -

What is the equation's slope?

The slope formula is m=(y2-y1)/, which represents the ratio of the change in the y values to the change in the x values (x2-x1). The coordinates of the beginning point are x1 and y1. The coordinates for the second point are x2, y2.

Y = mx + c is the equation for the line as a whole.

Given that the equation's slope is 3,

and -4 for the y-intercept.

When compared to the initial equation,

the line of the equation has a value of -

y = 3x - 4

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Help me out pls? Namjesus will bless.

Answers

Answer:

y = 44

Step-by-step explanation:

Slopes of parallel lines are equal.

P(15, 7)

Q(20, 14)

[tex]m_{PQ}[/tex] = [tex]\frac{14-7}{20-15}[/tex] = [tex]\frac{7}{5}[/tex]

G(3, 2)

F(33, y)

[tex]m_{PQ}[/tex] = [tex]m_{GF}[/tex] = [tex]\frac{y-2}{33-3}[/tex] = [tex]\frac{7}{5}[/tex]

5(y - 2) = 7(30)

y - 2 = 42

y = 44

Write 24 as a product of primes.
Use index notation when giving your answer.​

Answers

Answer:

2^3 * 3

Step-by-step explanation:

Here are the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23

To find the prime factorization of a number, start by dividing the number by the smallest prime number it is divisible by. Keep dividing by that prime number until you can't anymore. You only divide by prime numbers that divide evenly. Then move on to the next prime number that divides evenly, and do the same. You eventually will get to 1. Then you put together all the prime factors.

This is much easier to do than it sounds like in this explanation.

Start with 24.

24/2 = 12

12/2 = 6

6/2 = 3    3 is not divisible by 2, so we move on to 3.

3/3 = 1    We got to 1, so we are done.

The prime factorization is the product of all the prime numbers we divided by which are in bold.

24 = 2 * 2 * 2 * 3

Now we index it:

24 = 2^3 * 3

Marbles marked 1 to 14 are placed in a bag. Nestor randomly chooses a marble from the bag. What is the probability that the marble he selected will be a marble less than 12?

Answers

Answer:

asdfasdfasdfaasdf

f hi me ji ajkdsl;f jewiopag wheuip gjhishgfuidshifokh sal fhlasdk f

My girl friends face
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Answers

Answer: Why is the basic math question is here? But the answer is 49, don’t put the basic expression next time!

Step-by-step explanation:

Answer: this is 2 grade stuff but ok... 49

Someone please help me with 16-18 please it’s due in 30 mins

Answers

9514 1404 393

Answer:

  16.  134°

  17.  20°

  18.  94°

Step-by-step explanation:

An inscribed angle is half the measure of the arc it intercepts.

__

16. Arc QT is twice the measure of inscribed angle QST, given as 67°.

  Arc QT = 2×67°

  Arc QT = 134°

__

17. Angle STR is half the measure of arc SR, so is ...

  m∠STR = (arc SR)/2 = 40°/2

  m∠STR = 20°

__

18.  Arc RST is a semicircle, so has a measure of 180°. Then arc ST is the difference between that and arc RS:

  arc ST = 180° -40° = 140°

Angle RST subtends a semicircle, so is 180°/2 = 90°. We know angle QST is 67°, so the remaining portion, angle QSR must be the complement of that:

  m∠QSR = 90° -67° = 23°

Arc RQ will be twice this measure, or 46°.

So, the desired difference is ...

  mST -mRQ = 140° -46° = 94°

solve for x please i need help

Answers

Answer:

x = 4

Step-by-step explanation:

By exterior angle theorem:

(9x + 1)° + (11x - 2)° = (19x + 3)°

(9x + 1 + 11x - 2)° = (19x + 3)°

(20x - 1)° = (19x + 3)°

20x - 1 = 19x + 3

20x - 19x = 3 +1

x = 4

A recipe calls for 4 cups of flour to 6 tablespoons of shortening. How many tablespoons of shortening are needed for 6 cups of flour?

Answers

Answer:

2 cups sorry if i am mistaken

Step-by-step explanation:

write 66% as a fraction. ​

Answers

Answer:

2/3

Hope this helps.

it takes you 45 minutes to drive the 30 miles from your house to the mall. How long will it take you drive the 75 miles to the beach?

Answers

Answer:

45/30 = 1.5 minutes per mile

75 * 1.5 = 112.5 minutes (1 hour 52.5 minutes)

Step-by-step explanation:

Answer:

1 hour and 52.5 minutes

Step-by-step explanation:

double the miles and minutes then half both of them

7th grade math help me please :))

Answers

Answer:

-1/2

Step-by-step explanation:

-6/12

-1/2

The price of a printer increased by 8% to $777.60. Find the usual price of the printer.

Answers

I learned this in 7th grade I can’t remember what to do

one side of a parallelogram has endpoints (3, 3) and (1, 7). what are the endpoints for the side opposite? (8, 1) and (6, 5) (6, 1) and (8, 5) (8, 1) and (6, 7) (6, 1) and (2, 3)

Answers

The endpoints of the opposite side of the parallelogram are (8, 1) and (6, 5).

The endpoints of the given side of the parallelogram are (3, 3) and (1, 7).The slope of this side is (3-7)/(3-1).The slope of this side is (-4)/(2).The slope of this side is -2.The length of this side is √[(3-1)² + (3-7)²].The length of this side is √(2² + 4²).The length of this side is √(4 + 16).The length of this side is √(20).The opposite sides of a parallelogram are parallel and equal in length.This criteria is followed by line segment joining (8,1) and (6,5) among the options presented.

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