I walk each day to school. By what percentage would I need to increase my usual average speed in order for the journey to take 20% less time than usual? C:

Answers

Answer 1

Answer:

25%

Step-by-step explanation:

Let v, t be the current average speed and the time taken to reach the school respectively.

As distance = speed x time, so,

distance, d=vt...(i)

Let V be the new average speed in order to to take 20% less time than t.

So, time taken with speed V = t-20% of t = t- 0.2t= 0.8t

As distance is constant, so

d= V(0.8t)= 0.8Vt

hBy using equation (i), we have

0.8Vt = vt

0.8 V = v

V= v/0.8=1.25v

Therefore, the percentage increase in the average speed = [tex]\frac{V-v}{v}\times 100[/tex]

[tex]=\frac{1.25v-v}{v}\times 100[/tex]

=25%

Hence, the percentage increase in the average speed is 25%.


Related Questions

please hellp find x y and z

Answers

Answer:

angle x = 98

angle y = 82

angle z = 82

Step-by-step explanation:

angle y + 98 = 180; therefore, angle y = 82 degrees

angles z and y are alternate interior angles and are congruent (equal)

angle x is 98 degrees because angles x and y are same-side interior and their angles are supplementary (add up to 180 degrees)

Reflect shape A in the line y = x

Answers

It would be in the quadrant III because of math

Find the 21st term in the arithmetic sequence,
3,7 11, 15, 19,

Answers

Answer:

83

Step-by-step explanation:

keep adding 4 til the 21st number.

What is the slope of the line that contains the points (-4, 2) and (6, -3)?

Answers

Answer:

-1/2 or [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

to find the slope, use the formula

(y₁ - y₂)/(x₁ - x₂)

(2 - -3)/(-4 - 6)

(2 + 3)/(- 4 - 6)

5/-10

1/-2

-1/2

2.) A car rental company is charging a
$50 rental fee and then $0.17 per mile.
.
Write an expression that represents the
total cost of renting a car for a day using
m for number of miles.
If Kane traveled 55 miles, how much
did his trip cost?

Answers

Answer:

y=0.17x+50.   His trip cost $50.85

Step-by-step explanation:

Evan won the 200-yard dash. If his average speed was 16 feet per second what was his time for a he dash A. 0.27 B 0.625 C 0.16 D 0.875

Answers

Answer:B. 0.27

Step-by-step explanation:

Solve for x]. The polygons in each pair are similar.

Answers

3x-21=0
21=21
3x/3 = 21/3
X= 7

5x-2y=30 complete the missing solution to the equation​

Answers

Answer:

I would have to go with x = 8 and y = 5, meaning the solution is (8, 5).

Step-by-step explanation:

[tex]5x - 2y = 30[/tex]

[tex]5(8) - 2(5) = 30[/tex]

[tex]40 - 10 = 30[/tex]

[tex]30 = 30[/tex]

The equation is y=5/2x - 15 or if solving for X is -6
Step-by-step explanation:
In terms of y=mx+b, we are to make the Y by itself.
Step 1. -2y = -5x +30
Make y become positive!
Step 2. 2y = 5x - 30
Distribut the 2 over to make it 1y.
Step 3. 1y = 5/2x - 15
The equation is y=5/2x - 15
If you are to find X it would be....
-15 divided by 2.5 gets you x= -6

PLEASE HELP ASAP!! Will give BRAINLIEST for the first correct answer!
Dr. Hammer noticed that the distribution of scores for his psychology class's last unit test was
not normal. In fact, the class results were positively skewed. According to this, which of the
following would be true?

OPTIONS:
A. The mean, median, mode would all be the same

B. The mean would be higher than the median and mode

C. The mean and median would be the same, but the mode would be higher

D. The mode and median would be higher than the mean

Answers

Answer:

E

Step-by-step explanation:

Answer:

B. The mean would be higher than the median and mode

Step-by-step explanation:

A Petri dish is growing bacteria. It starts with 3 cells on day 1, 9 cells on day 2, and continues tripling the number of cells every day after that. How many cells of bacteria are there on day 5?

Answers

Answer:

3^5

Step-by-step explanation:

If y is a positive integer, for how many different values of y is [tex]\sqrt[3]{144\y}[/tex]a whole number?

Answers

Answer:

2

Explanation:

I'll explain later, it has to do with prime factors, and perfect cubes.

The two values of y that work are 18, and 144.

³√(144/18) = ³√(8) = 2 [whole number]

³√(144/144) = ³√(1) = 1 [whole number]

Please help!! Why is sin(20) = sin(160) = -sin(200) = -sin(340)?

Answers

These relations all follow from the identity,

sin(x - y) = sin(x) cos(y) - cos(x) sin(y)

Notice that 160° = 180° - 20°, so if x = 180° and y = 20° above, we get

sin(160°) = sin(180°) cos(20°) - cos(180°) sin(20°)

We know sin(180°) = 0 and cos(180°) = -1, so we end up with

sin(160°) = sin(20°)

For the other, notice that 200° = 360° - 160°, and 340° = 360° - 20°.

Answer:

Step-by-step explanation:

sin 20 is the same as sin 60 because 180-60=20. sin 20 is the same as -sin200 because 200-180=20

sin 340 is the same as sin 20 because 360-340=20. So all four of these connect and they all equal 20. Also, they all equal .3420 (rounded)

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]\boxed {\boxed {\sf 1. \ 20 }}[/tex]

Step-by-step explanation:

An equilateral triangle has 3 equal sides and angles. Remember that equilateral sounds like equal.

The interior angles of a triangle must equal 180 degrees.

All 3 angles are the same.180/3= 60 All 3 angles in an equilateral triangle equal 60 degrees.

The question tells us the angle is equal to (4x-20).

∠= 60°∠= (4x-20)°

So, by substitution, we can set 60 and (4x-20) equal to each other.

[tex]60=4x-20[/tex]

Now, solve for x by isolating the variable on one side of the equation.

20 is being subtracted from 4x and the inverse operation of subtraction is addition. Add 20 to both sides of the equation.

[tex]20+60=4x-20+20 \\ 20+60=4x\\80=4x[/tex]

x is being multiplied by 4. The inverse operation of multiplication is division. Divide both sides of the equation by 4.

[tex]\frac{80}{4}=\frac{4x}{4}[/tex]

[tex]\frac{80}{4}=x \\\ 20=x[/tex]

x is equal to 20 and choice 1 is correct.

Is the following a function?
{-1,5), (2, 5), (3,5) (8,5)}

Answers

Answer:

Yes

Step-by-step explanation:

A function is where each x value maps to one y-value -> and that is true here.

Even though the 5 is repeated, different x-values are used, so that is okay.

It would just be a straight line.

PLEASE HELP! :C BRAINLEST WILL BE GIVEN!

Answers

the answer's 85

Step-by-step explanation:

pemdas ig

Find the slope of the line that passes through the points (-2, 6) and (9, -5).

Answers

Answer:

slope = -1

Step-by-step explanation:

Use the slope formula [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex] to find the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. So, we'll use the points given in the question, (-2,6) and (9, -5). Substitute -2 for [tex]x_1[/tex], 6 for [tex]y_1[/tex], 9 for [tex]x_2[/tex], and -5 for [tex]y_2[/tex]. Then, solve:

[tex]\frac{(-5)-(6)}{(9)-(-2)} \\= \frac{-5-6}{9+2} \\= \frac{-11}{11} \\= -1\\[/tex]

Therefore, the slope is -1.

The slope of the line that passes through the points (-2, 6) and (9, -5) is -1.

What is Slope?

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

Given the coordinates of the two points on the graph is (-2, 6) and (9, -5). Therefore, the slope of the line that passes through this point is,
Slope = [6 - (-5)] / [-2 - 9]

Slope = (11) / (-11)

Slope = -1

Hence, the slope of the line will be -1.

Learn more about Slope of Line here:

https://brainly.com/question/14511992


#SPJ2

A mountain climber ascends 800 feet per hour from his original
position. After 6 hours, his final position is 11,600 feet above sea
level. Find the climber's original position,

Answers

Answer:

4,800

Step-by-step explanation:

Just multiply 800 x 6, which gets 6,800. Then, get 11,600 and subtract 6,800 from it. You'll get 4,800.

Two athletes Or training over a two week period to increase the number of push-ups each can do consecutively . Athlete a can do 16 push-ups to start and increase his total by each to each day. Athlete b can do 12 push-ups to start an increase he's so tall by three each day. Compare the initial values for each what does the initial value mean in the situation

Answers

Answer:

Initial values of Athlete a and b is 16 and 12 respectively. That means, Athlete a start with more push-ups as compared to athlete b

Step-by-step explanation:

Athlete a perform 16 push-ups  to start and increase 1 push-up each day for 14 days

⇒ number of push-ups at the end of x days is for Athlete A is

n = number of push-ups for athlete A= 16 + x

Athlete b perform 12 push-ups  to start and increase 3 push-up each day for 14 days

⇒ number of push-ups at the end of x days is for Athlete B is

m = number of push-ups for athlete B = 12 + 3x

where x is the number of days

thus, total number of athletes at the end of 14 day is

n = 16+14 = 30 push-ups for athlete A and m = 12 + 42 = 54 push-ups for athlete B at the end of 14th day

Now similarly for the initial day x = 0

thus, total number of athletes at the starting of 1st day is

n = 16+0 = 16 push-ups for athlete A and m = 12+0 =12 push-ups for athlete B at the starting of 1st day.

That means, Athlete a start with more push-ups as compared to athlete b, But at the end of 14th day Athlete b do more push-ups then athlete a

Answer: The initial value for Athlete A is greater.

Pay attention for the keyword initial value.

I got no explanation D:

NEED HELP A triangle is cut from a rectangle. The height of the triangle is half of the unknown side length s. The area of the shaded region is 84 square inches. Write an equation you can use to find the side length s. An equation is =84.

Answers

Answer: 14s - 7s/2 = 84

Step-by-step explanation:

Given that s is the length of the unknown side:

Area of the shaded region = 84

Area of rectangle - Area of triangle = 84

Area of rectangle = L * W

= 14 * s

= 14s

Area of triangle = ¹/₂ * base * height

= ¹/₂ * 14 * s/2

= 7s/2

Area of shaded region:

14s - 7s/2 = 84

Solving for s:

14s - 7s/2 = 84

28s - 7s = 168

21s = 168

s = 168/21

s = 8 inches

HELP

What is the domain of the equation graphed below

Answers

Answer:

The domain of a function is the range of which the x-axis spans across the function. Range is the range of which the y-axis spans across the function. You can see here, there is not stoping point on either side of the function, meaning that the function reachest from -infinity to +infinity. So you answer would be:

B) All Real Numbers

Hope that I helped!

Simplify the following by combining like terms:

1y - 8xy + 7x - 5y + 4xy + 9x

Answers

Answer:

-4y-4xy+16x

Step-by-step explanation:

Hope this helps!! If you need it step by step I'll comment it in the comments.

Math. Help I really need this giving brainliest to the person with the correct answer, please explain your answer........

Answers

Answer:

65-n

Step-by-step explanation:

"less than" means you will subtract the second number by the first, therefore 65 less than a number is 65-n.

Y'all I kinda need help in this problem​

Answers

Answer:

4

Step-by-step explanation:

15km in 1 hour

60 minutes in 1 hour

60 min/15km

4 min per km

What is the salesperson's commission on a $600
sale if the commission rate is 30%?
A $18
B $18,000
C $180
D$618

Answers

Answer:

it would be 180 dollars.

Step-by-step explanation:

as you do 30 percent of 600 dollars

Which is an example of a statistical question?

Questions
Question 1 What percent did Matti score on his English test?
Question 2 What letter grade did each person score on their English test?
Question 3 Who scored the best on their English test?
Question 4 Who scored the worst on their English test?
question 1
question 2
question 3
question 4

Answers

Answer: it’s 2!

Step-by-step explanation:

i got it right on edge 2021! good luck!

Answer:

the answer is 2

Step-by-step explanation:

At a swimming pool the ratio of those wearing sunscreen to those not wearing sunscreen was 7 to 5. If the number of people not wearing sunscreen was 30, then how many people were wearing sunscreen?

Answers

Answer:

42 people are wearing sunscreen

Step-by-step explanation:

Step one:

given data

We are given that the ratio of those wearing sunscreen to those not wearing sunscreen was 7 to 5.

i.e 7:5

number of people not wearing sunscreen is 30

let us use part to part method to solve this problem

let the number of people wearing sunscreen be x

so,

7/5= x/30

cross multiply we have

5x=210

divide both sides by 5

x= 210/5

x=42 people are wearing sunscreen

Answer:

I think the answer is 42 to 30. 42 kids wearing sunscreen and 30 kids were not. 30 divided by 5 is 6. 6 x 5 is 30. so 6 x 7 is 42. Hence 42 to 30. :)

A tornado is located between city hall and a cell phone tower and is heading towards the cell phone tower. By what angle does the tornado’s direction need to change so that it passes over the radar station instead?

Answers

Answer:

the amount of angle the hall is so prob like 5

Step-by-step explanation:

you provided insufficient details to answer

Answer: 30 degrees

Step-by-step explanation:

2 interior angles of 75 degrees.

75+75=150.

180-150=30


Some one help please fast help ASAP

Answers

Answer: (x, y) --> (x, -y)

Step-by-step explanation:

This is a reflection over the x-axis so its only the y-intercept that changes.

Answer:

its a reflection

Step-by-step explanation:

If it were a rotation, it wouldnt have overlapped.

If it were a translation, It would have been the wrong way up and not overlapping.

When reflected over line x, it will overlap because it stays rigid and does not change shape or size.

hope this helps :)

Which number is irrational?

Answers

Answer:

The square root of 3

Step-by-step explanation:

c last answer

Answer:

[tex]\sqrt{3}[/tex]

Step-by-step explanation:

It cannot be written as a fraction.

Hope this helped, make sure to make this brainiest, thank you.

Given the graph that is shown. What is the range of the function??!

Answers

Answer:

[tex]-3\leq x[/tex] < 6

third answer choice

Step-by-step explanation:

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