On Saturday morning, Ahmed decided to take a bike ride from one end of the 15-mile bike trail to the other end of the bike trail and back. His average speed the first half of the ride was 2 mph faster than his speed on the second half. Find an expression for Ahmed's total travel time. If his average speed for the first half of the ride was 12 mph, how long was Ahmed's bike ride? ​

Answers

Answer 1

The expression which relates the total time taken and the time taken for the trip is [15s + 15(s+2)] / s² + 2s and 2.32 hours respectively.

Travel time = distance ÷ speed

Second half of the trip :

Speed = s mph

Distance covered = 15 miles

Time taken for second half of trip :

Time taken = 15 / s

First half of the trip :

Speed = s + 2 mph

Time taken for first half of trip :

Time taken = 15 / (s+2)

Total time taken :

First half + second half

15/(s+2) + 15/s = [15s + 15(s+2)] / s² + 2s

B)

If s = 12

Substitute s = 12 into the expression :

[15(12) + 15(12+2)] / 12² + 2(12)

[180 + 210] / 144 + 24

390 / 168

= 2.32 hours

Therefore, the total time taken is 2.32 hours.

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Related Questions

easy one - giving brainly if correct AND WORK IS SHOWN​

Answers

Answer:

18

Step-by-step explanation:

$72 divided by 4 is 18, 18 x 4 is 72.

Answer:

4x5=20

72-20=42

42 Divded 4= 10.5

10.5 more

3|-d + 2| + 1 if d = 4

Answers

Answer:

7

Step-by-step explanation:

reminder that the absolute value function always gives a positive result.

3 | - d + 2 | + 1 ( substitute d = 4 )

3 | - 4 + 2 | + 1

= 3 | - 2 | + 1

= 3 × 2 + 1

= 6 + 1

= 7

A swimming pool is being constructed so that it is the upper part of aninverted square-based pyramid.a. Calculate H.b. Calculate the volume of the pool.c. How many 6 m3bins will be required to take the dirt away?d. How many litres of water are required to fill this pool?e. How deep is the pool when it is half-filled?

Answers

Answer:

2

Step-by-step explanation:

6 sides by 6 adding 4x4=12

factor:3x²-xy-4y²
pls help)):​​

Answers

Step-by-step explanation:

plz mark me as brainliest

Solution:

[tex]3 {x}^{2} - xy - 4 {y}^{2} \\ = 3 {x}^{2} + 3xy - 4xy - 4 {y}^{2} \\ = 3x(x + y) - 4y(x + y) \\ = (3x - 4y)(x + y)[/tex]

Answer:(3x-4y)(x+y) or (x+y)(3x-4y)

Hope it helps

ray4918 here to help

A street that is 250 m long is covered in snow. City workers are using a snowplow to clear the street. The snowplow has tires that are 1.7 m in diameter. How many times does a tire have to turn in traveling the length of the street?
Use the value for . Round your answer to the nearest tenth. Do not round any intermediate steps.

Answers

Answer:

The Snowplow needs to turn 44 times.

Find the GCF
of 10 and 50 using
the distributive
property.
(10+50)
BRAINLIEST

Answers

Answer:

10

Step-by-step explanation:

Answer:

I thin the asnweris 60

Step-by-step explanation:

Let me know if i'm right I don't know if I followed all the steps

mike wants to buy the same number of balloons for 2 of his friends. her has $59, and each balloon costs $7. What is the largest number of balloons that mike buys for each friend

Answers

Answer:

4

Step-by-step explanation:

7x8=56 wich is the highest number it can go to

so 8/2=4

(solve for x)

-8-x=x-4x

Answers

Answer:

[tex] ➜- 8 - x + x = x - 4x + x[/tex]

[tex] ➜- 8 = - 2x[/tex]

[tex] ➜- \frac{8}{ - 2} = \frac{ - 2x}{2} [/tex]

[tex]➜x=4[/tex]

Triangle ABC is graphed in the coordinate plane. ​

Answers

Answer:

the answer is d

Step-by-step explanation:

just see the matching coordinates

geometry pls help! im
beggingggg!

Answers

Answer: D; B

Step-by-step explanation: 1 and 4 are alternate exterior angles if you use process of elimination, all the other pairs are, alternate exterior, corresponding or same side interior angles. angles 1 and 4 are in between lines a and b when lines a and b have the transversal of c. with process of elimination, c is the only logical answer, as 1 and 4 both lie on that line. which leaves you with two answers. if you draw out lines a and b with a transversal of c and the lines b and e with the transversal of c, then B is the only logical answer. goodluck :) i just finished this unit :D

look at the figures how can u prove the triangles are congruent is it
A)

B)

C)

Answers

B) because the lines on the triangles show that they are equal in length and therefore congruent (the same)

Answer:

ABC by the SSS postulate

ASA  rule shows 1 side is congruent and 2 angles congruent

SAS rule shows 2 sides are congruent and 1 angle congruent

SSS rule shows 3 sides are congruent as angles already proven ASA and SAS

Which two numbers are 4 units from -2?

Answers

Answer:

-6 and 2

Step-by-step explanation:

look left and right on number line. count 4 places over going both ways

The component form of a vector indicates the changes in x and y from the
starting point to the endpoint. What is the component form of this vector?

Answers

The vector’s component form is (-8, 2)

It moves negative 8 units towards the left. 4 - 8 = -4. And it moves positive 2 units upwards -1 + 2 = 1.

We will see that the component form of the given vector is <-8, 2>, so the correct option is D.

How to get the component form of the vector?

For a vector with starting point (a, b) and endpoint (c, d), the component form is:

<c -a, d -b>

In this case, we can see that the starting point is (4, -1), and the endpoint is (-4, 1)

Then the component form of the vector is:

<-4 - 4, 1 - (-1) > = <-8, 2>

So the correct option is D.

If you want to learn more about vectors, you can read:

https://brainly.com/question/3184914

Need help asap pls pls pls

Answers

Answer:

bqidhiwodxh

Step-by-step explanation:

627e29302990331 e7894094902

27290[



4r – 4s + 4t=-4

4r +5 - 2t = 5

-3r - 3s – 4t=-16

Use elimination or substitution to solve the systems.

(1,-3,-1)

(1,3,1)

(-1,3,1)

Answers

Answer:

1,3,1

Step-by-step explanation:

2x2 + 2x-4?
Which expression is equivalent to
2x2 - 4x + 2
X+2
X-1
X-2
o – 2
x+2
X-2

Answers

Answer:

2x^2 +2x-4
——————
2x^2-4x+2

Factor out 2 from the expression

2(x^2+x-2)
—————-
2(x^2-2x+1)

Write x as a difference

2(x^2x-x-2)
—————-
2(x^2-2x+1)

Use a^2-2ab+b^2=(ab)^2

2(x^2x-x-2)
—————-
2(x-1)^2

Reduce the fraction with 2

x^2x-x-2
—————-
(x-1)^2

Factor out x from the expression

X*(x^2)-x-2
—————-
(x-1)^2

Factor out negative sign from the expression

X*(x+2)-(x-2)
—————-
(x-1)^2

Factor out x+2 from the expression

(x+2)(x-1)
—————-
(x-1)^2

Simplify the expression

x+2
——
x-1

How do you solve this

Answers

Answer:

x = 8

Step-by-step explanation:

1. First, we should realize that the angle with 16x + 7 and the angle with 5x + 5 are same-side interior angles, meaning they add up to 180 degrees. This means that 16x + 7 + 5x + 5 = 180.

2. (Solving)

Step 1: Simplify both sides of the equation.

[tex](16x+5x)+(7+5)=180[/tex] [tex]21x + 12 = 180[/tex]

Step 2: Subtract 12 from both sides.

[tex]21x + 12 - 12 = 180 - 12[/tex] [tex]21x = 168[/tex]

Step 3: Divide both sides by 21.

[tex]\frac{21x}{21}=\frac{168}{21}[/tex] [tex]x = 8[/tex]

Step 4: Check if solution is correct.

[tex]16(8)+7+5(8)+5=180[/tex] [tex]128 + 7 + 40 + 5 = 180[/tex] [tex]135 + 40 + 5 = 180[/tex] [tex]175 + 5 = 180[/tex] [tex]80= 80[/tex]

Therefore, x = 8.

Use the​ slope-intercept form to graph the equation y = -4/3 x + 1

Answers

Answer:

the y intercept is 1 so you plot (0,1) on the graph, then you take -4/3 and go up 4 from the y intercept and over the left 3 times. Finally you go back to the y intercept and got down 4 and to the right 3 time then connect it with a line with arrows on both ends. hope this helps!

Instructions: Evaluate f(x) = 2x + 5 for the following and enter
your answer in the space provided. Do not include any spaces in
your answer.
f(-1) =
f(2)=
f(0) =
f(z)=

Answers

Answer:

f(1) = 3

f(2) = 9

f(0) = 5

f(z) =2z + 5

Step-by-step explanation:

f(x) = 2x +5     let x = -1; 2, 0, z and simplify if you can.

f(-1) = 2(-1) +5 ; -2 +5

f(2) = 2(2) + 5;  4 + 5

f(0) = 2(0) + 5; 0 + 5

f(z) = 2z +5; 2z + 5

At what rate is a car traveling, if it goes 157.5 miles in 2.5 hours?

Answers

the car is driving at 63 mph

Write an algebraic expression for three times the sum of the first two multiples of four.​

Answers

I think its 3(4+8) hope this helps


Peter, Jamal and Khan were on their way to a resort. Peter drove of the journey at a
constant speed of 64 km/h. Jamal took over and drove 5 of the journey for 20 min at
a constant speed of 60 km/h. Khan then took over and drove the remaining journey.
(a) How far did Jamal drive?
(b) How many minutes did Peter drive?

Answers

Answer:

that's what can I give

Step-by-step explanation:

hope it helps

what is y=2x+3 on a graph??

Answers

Answer:

points on the line: (0,3) (1,4) (-4,-5)

Step-by-step explanation:

put those points on the graph and just draw a line that connect to all of them

HELP ASAP PLEASE

If the bowling fans get their way, and the group plays only 1 game of laser tag, will they have
enough money to bowl 5 games? Use your expression from question 3 to calculate the cost of 1
game of laser tag and 5 games of bowling. (3 points: 1 point for the answer, 1 point for showing
your work, and 1 point for answering the question

Answers

x+yz : is the answer to your question.

please help me if you can, thank you!

Answers

Answer:

Step-by-step explanation: 3(z-4)= -6

                                        3z-12=-6

                                        3z=6

                                           z=2

z is 2 z=2 just get the z alone and solve

2. A line passes through the points (4,7) and
(8, 6). The line also passes through the point
(a, 3.5) for what value of a? ​

Answers

Answer:

a = 18

Step-by-step explanation:

Slope = (7-6)/(4-8) = -1/4

y-intercept = 7 - (-1/4)(4) = 8

Equation of the line: y = - 1/4x + 8

(Substitute y for 3.5. When y is 3.5, what is x)

3.5 = - 1/4x + 8

3.5 - 8 = - 1/4x

(-4.5) / (- 1/4) = x

x = 18

1000 Chevrolet times 1000 Lamborghini

Answers

Answer:

1000000 chevginis

Step-by-step explanation:

Answer:

1000000 sports cars (Chevrolet and Lamborghinis)

Step-by-step explanation:

1000x1000

I NEED HELP ON THIS QUICKLY

Answers

Answer:

B) Alternate Exterior Angles

Step-by-step explanation:

They are exterior (on the outside of the the lines) and they are alternate (opposite left and right).

Answer:

Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are outside angles that lies to the opposite side.

Someone pls help me I will make you brain

Answers

The answer is the 2nd choice, number of sales.

The function described f(x) = B + Cx

guys pls help me!!!!!!

Answers

x=167⁰ (alternate or z angles)

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