Jonathan increased his rate of walking by 25% at halfway to his destination and therefore arrived half an hour earlier than was planned. How long did it take for Jonathan walk to his destination?O

Answers

Answer 1

Answer:

1.67 hours

Step-by-step explanation:

Let the original speed of Jonathan = [tex]x[/tex] units/hr

Let the original time taken by Jonathan = [tex]y[/tex] hours

Let the distance = [tex]D[/tex] units

Formula for distance is given as:

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

Given that half the distance is covered by original speed.

[tex]\Rightarrow \dfrac{D}{2} = \dfrac{x}{2}\times \dfrac{y}{2}\\\Rightarrow D = \dfrac{xy}{2} ..... (1)[/tex]

Half the distance is covered by increasing the rate by 25%.

i.e. increased speed:

[tex]\dfrac{5}{4}x\ units/hr[/tex]

Hence, Time taken:

[tex]\dfrac{y}{2}-\dfrac{1}{2}[/tex]

Distance traveled is half of the total distance:

[tex]\Rightarrow \dfrac{D}{2} = \dfrac{5x}{4}\times (\dfrac{y}{2}-\dfrac{1}{2})\\\Rightarrow D = \dfrac{5x}{2}\times (\dfrac{y}{2}-\dfrac{1}{2}) .... (2)[/tex]

Dividing (1) by (2):

[tex]\dfrac{xy\times 4}{2\times 5x(y-1)} = 1\\\Rightarrow 2y=5y-5\\\Rightarrow 3y=5\\\Rightarrow y =1.67\ hours[/tex]


Related Questions

Solve for x: 8(3x-6)=6(4x+8)

Answers

Answer: there are no values of x that make the equation true .

So the answer is there is: No solution

Step-by-step explanation:

Solve the system by elimination.
2x-5y=8
x-3y=-1

Answers

Answer:

hope this helps you dear

Given 1 || m ||
n, find the value of x.
m
140°
n
(8x+12)

Answers

Answer:

x = 16

DISREGARD 16.5 MY BAD the answer is 16

Step-by-step explanation:

140 = 8x+12

Subtract 12 on both sides

128 = 8x

Divide by 8

16 = x

x = 16

Answer:

x = 16

Step-by-step explanation:

(8x + 12)° = 140°

8x + 12 = 140

8x = 128

x = 128 ÷ 8

x = 16

Solve the equation.
4(z – 3) = 22

Answers

z=6 just trust me on this lol

Answer: z=6

Step-by-step explanation:

4(z-3)=2z

4z-12=2z subtract 2z from both sides

2z-12=0 add 12 to both sides

2z=12 divide 2 to both sides

z=6

Jenny is renting a moving truck. She will have to pay a one-time fee for insurance coverage and pay the daily rate for the truck each day she uses it. The total cost of renting the truck in terms of the number of days the move will take can be modeled by the equation: y = 100x + 85. A. What is the slope? B. What is the y-intercept?

Answers

Answer:

Slope is 100

y-intercept is 85

Step-by-step explanation:

The equation of a straight line can be modeled according to the function;

y = mx + c

where m is the slope and c is the y-intercept

comparing what we have ;

y = 100x + 85 with the standard form ;

Slope will be 100 and y-intercept is 85

can I have topics for STEAM (Science, Technology, Engineering, Art, Math) It must be a real-life problem and I have to figure out a solution and the solution must include Science, Technology, Engineering, Art, Math in it. If you have any ideas please help thank you.

Answers

Answer:

See below.

Step-by-step explanation:

I find autonomous robotics and fuzzy-related topics interesting. But it must include all the topics? I mean, Art as well? In the field of robotics, some interesting approaches involve building robots capable of moving in cluttered environments, places with humans efficiently. In this context the study of mapping algorithms and computer vision is interesting.

The first time a census was taken in Michele Corners, the population was 1772. Each year after that, the population was about 9% higher than it was the previous year.

Sketch the graph that represents the situation. Let x represent the number of years since the first census was taken.

What are the coordinates of the point that contains the ­y-intercept?

A. ( 1772, 0)
B. ( 1, 1772)
C. ( 0, 1772)
D. ( 1772, 1)

Answers

Answer:

i'm 95% sure that it is D

Step-by-step explanation:

don't be mad if i'm wrong

help 6th grade math i will give brainliest

Answers

Answer: A) 175%

B) 260%

C) 171.43%

Step-by-step explanation:

Answer:

1.4/3

2.13/5

3.12/7

Step-by-step explanation:

is (7, 3), (8, 6), (9, 9), (10, 12) a function

Answers

Yes because it is because it is because it is

A solid cylindrical metal is melted and recast into cubes of metal of side 3cm the base radius of the initial cylindrical metal is 10.5 and height is 63cm . how many cubes will be Madeline​

Answers

Answer:

A solid cylindrical metal is melted and recast into cubes of metal of sides 3cm . The base radius of the initi… Get the answers you need, ... is melted and recast into cubes of metal of sides 3cm . The base radius of the initial cylindrical metal is 10.5cm and height is 63cm. How many cubes will be made.

Step-by-step explanation:

hope this is right!

A microscope is set so it makes an object appear 6 × 10 2times larger than its actual size. A virus has a diameter of 2 × 10 -7meters. How large will the diameter of the virus appear when it's viewed under the microscope?

Answers

Answer:

The diameter of the virus will appear as 1.2 × 10⁻⁴ meters when viewed under the microscope

Step-by-step explanation:

From the question,

A microscope is set so it makes an object appear 6 × 10² times larger than its actual size. That is, when an object is viewed with the aid of the microscope, the object will be 6 × 10² times larger than its actual size.

Now, to determine how large the diameter of a virus that has a diameter of 2 × 10 ⁻⁷ meters will appear when viewed under the microscope, we will multiply the diameter of the virus by  6 × 10².

That is, 2 × 10 ⁻⁷meters × 6 × 10² = 1.2 × 10⁻⁴ meters

Hence, the diameter of the virus will appear as 1.2 × 10⁻⁴ meters when viewed under the microscope.

please need this asap!!
will give brainliest <3

Answers

Answer:

-0.02, -0.15, -0.2, -1.2

Step-by-step explanation:

The closer a negative number is to 0, the greater it is.

Answer:

-0.15,-0.02,-0.2,-1.2

I hope this helps

Three drivers competed in the same fifteen drag races. The mean and standard deviation for the race times of each of the drivers are given.


- Driver A had a mean race time of 4.01 seconds and a standard deviation of 0.05 seconds.

- Driver B had a mean race time of 3.96 seconds and a standard deviation of 0.12 seconds.

- Driver C had a mean race time of 3.99 seconds and a standard deviation of 0.19 seconds.


Which driver do you predict will win the next drag race? Support your prediction using the mean and standard deviation.

Answers

Answer:

Driver B

Step-by-step explanation:

From the given options, Driver B will win the next race because the previous result shows that Driver B has the fastest race time due to the fact that it recorded the lowest mean race time.

Similarly, the standard deviation of 0.12 seconds illustrates that the driver keep-up with the bearest minimum time frame all through the entire race time.

Answer:

It is B and the other one is Driver C if you have that question

Step-by-step explanation:

What value of x satisfies the equation below? Explain
how you know
-3x = 15

Answers

-3x = 15
————
-3. -3

x= -5

Answer:

x = -5

Step-by-step explanation:

Estimate by rounding both numbers to hundreds and then divide.
76 ÷ 57 is approximately

Answers

Answer:

80 / 60 = 1.3 approximately

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

76 → 10057 → 100Divide: 100 ÷ 100 = 1

I hope this helps!

I need help on this quesion. (Easy)

Answers

Answer:

the answer is C

Step-by-step explanation:

just divide 42.75 by 9

Given the function below, what value will result in f(x)=10?
f(x)=1/2x+8

Answers

10 = 1/2x + 8
2 = 1/2x
X = 4
10=1/(2x)+8
1/(2x)=2
1=4x
X=1/4

Please help!!!!!! ASAP!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Answer:

2. m∠4 + m∠5 = 210°

3. Alternate interior angles theorem.

4. 2 × m∠4 = 210°

5. 105°

Step-by-step explanation: i hope this helped youuuuuu have a wounderful thanksgiveing eat alot of food and you get to sleep in Imao!!!!

helpp evaluate the expression -8 x 1/4 ÷ -2/3

Answers

The answer is 3☺️ hope this helps

Answer:

3

Step-by-step explanation:

Mr. Neiland bought 12 tickets to a chili supper and spent a total of $60. He bought a combination of adult tickets for $10 each and child tickets $7 each. Which system of equations below will determine the number of child tickets, and the number of adult tickets, a, he bought?

Answers

Answer:

434.60

Step-by-step explanation:

Just look at the picture lol.....The equations of three lines are given below. Line 1: 8x-6y=-2 3 Line 2: y=-x-5 4 Line 3: 4y=-3x+3 For each pair of lines, determine whether they are parallel, perpendicular, or neither. Line 1 and Line 2: Parallel O Perpendicular O Neither Х Line 1 and Line 3: O Parallel O Perpendicular O Neither Line 2 and Line 3: Parallel O Perpendicular Neither​

Answers

Answer:

Step-by-step explanation:

We will use the following steps to solve this problem,

Step - (1).

Covert the equations into slope-intercept form.

Step - (2)

If the slopes of the two lines are equal, lines will be parallel.

[tex]m_1=m_2[/tex]

Step - (3)

If the slopes of the two lines are negative reciprocal, lines will be perpendicular.

[tex]m_1\times m_2=-1[/tex]

Line 1: 8x - 6y = -2

          6y = 8x +2

            y = [tex]\frac{4}{3}x+\frac{1}{3}[/tex]

Slope of line 1 = [tex]m_1=\frac{4}{3}[/tex]

Line 2: y = [tex]-\frac{3}{4}x-5[/tex]

Slope of line 2 = [tex]m_2=-\frac{3}{4}[/tex]

Line 3: 4y = -3x + 3

             y = [tex]-\frac{3}{4}x+\frac{3}{4}[/tex]

Slope of line 3 = [tex]m_3=-\frac{3}{4}[/tex]

1). Since, [tex]m_1\times m_2=\frac{4}{3}\times (-\frac{3}{4})=-1[/tex]

   Line 1 and line 2 are perpendicular.

2). Since, [tex]m_1\times m_3=\frac{4}{3}\times (-\frac{3}{4})=-1[/tex]

   Line 1 and line 2 are perpendicular.

3). Since, [tex]m_2=m_3=-\frac{3}{4}[/tex]

   Line 2 and line 3 are parallel.

Estimate to the nearest integer.
21
O 3
O 4
O 5

Answers

Answer:

5

Step-by-step explanation:

So the square root of 21 is 4.582...

If you round 4.582.. it is 5

Because you look at the first number behind the decimal (tenths place) if it is 4-0 you leave the number the same. If it is 5-9 you increase the number by 1.

Hope this helps ya!!

question below :) i suck at math

Answers

Step-by-step explanation:

You plug g(3) into the equation like this

g(3) = -x - 2

algebraic expression for 15 8/9 less than the product of 5 and a number b ​

Answers

Answer:

[tex]15\frac{8}{9}[/tex]  < 5b

Step-by-step explanation:

       15 8/9 less than the product of 5 and a number b ​

 Product of 5 and a number b;

      5 x b  = 5b

Now,

     [tex]15\frac{8}{9}[/tex]  less than

       [tex]15\frac{8}{9}[/tex]  < 5b

The algebraic expression is  [tex]15\frac{8}{9}[/tex]  < 5b

When a number is less than another, the other number is greater.

Whats 9 less than the product of 9 and a number

Answers

Answer:

9x-9

Step-by-step explanation:

9 and a product of a number is 9x, and less 9 is 9x-9.

Hope this helps :D

The position of a body moving along a coordinate line at
time t is s = (4 + 6t)3/2, with s in meters and t in seconds. Find
the body's velocity and acceleration when t = 2 sec.
And Describe the motion of the body.

Answers

Step-by-step explanation:

s=(4+6t)3/2

t=2s

t is seconds

s is meters

s=(4+6×2)3/2

=(4+12)3/2

=16×3/2

s=24m

HELP!! ASAP!! Will mark Brainliest to first correct answer !!

Answers

Answer:

A. -13 + i

Step-by-step explanation:

(5 - 9i) + (-4 + 7i) = 1 - 2i(1 - 2i) - (14 - 3i) = -13 + i

I hope this helps!

The answer is A.
I know I am right

A factory makes
575,000
candies per day. If each machine in the factory produces the same amount of candies per day, and there are
20
machines in the factory, how many candies does each machine produce per day?

Answers

Answer:

Each machine would produce 28,750 candies per day. hope it helps

Rearrange the formula
Help pls !!

Answers

The answer is A

Explanation:

Square both sides. As a result, you will get I^2 = P/R

Multiply both sides by R
I^2R = P

Divide both sides by I^2
R = P/I^2

Thus, the answer is A

do this yaayayyayaya brainliest for all thanks so much!!

Answers

Answer: -5 - (-10 )= 5

Step-by-step explanation:

 The arrows on the number line stops at -5 and -10 so you subtract -5 minus -10 and get your anwser 5

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