an athlete covers a distance of 0.4 km in completing one round . how many rounds does he make if he runs a total of 8.4 km distance ?

Answers

Answer 1

Answer:

21 rounds

Step-by-step explanation:

[tex]1[/tex] [tex]round = 0.4km[/tex]

[tex]Total[/tex] [tex]distance = 8.4km[/tex]

[tex]8.4/0.4[/tex]

[tex]=21[/tex]

Answer 2
Given:Total distance covered= 8.4 kmDistance covered in 1 round= 0.4 kmTo find:

The number of rounds he makes, if he runs a total of 8.4 km distance.

Solution:

[tex]\large\boxed{R=\frac{Total \: distance}{Distance \: covered \: in \: 1 \: round}}[/tex]

So, we'll have to divide the total distance covered by distance covered in 1 round.

Let's substitute according to the formula.

[tex]R= \frac{8.4}{0.4}[/tex]

= 21 rounds

Hence, the number of rounds he makes, if he runs a total of 8.4 km distance is 21


Related Questions


Suppose that the water level of a river is 4 feet and is increasing at a rate of 0.15 foot per day. Write the
variable expression to represent the depth of the river in terms of d, the number of days.

Answers

Answer:

The answer would be 4+0.15d.

Step-by-step explanation:

I hope this helps! :) I am so sorry if this is not right!

Step 5: to isolate x, multiply both sides by:

Answers

To isolate x , multiply both the sides by   ( 5/23 )

What is an Equation ?

An equation is formed when two algebraic expressions are equated using an equal sign.

The given equation is

(3/5)(x-10) = 18-4x-1

(3/5)x - 6 = 18-4x-1

(3/5)x - 6 = 17-4x

(3/5)x = 23 -4x

(23/5)x = 23

Step 5 says To isolate x , multiply both the sides by (5/23)

x = 5

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evaluate the expression and enter your answer in the box below |98|

Answers

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to evaluate [tex]\pmb{|98|}[/tex].

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

The notation |x| denotes absolute value.

The absolute value of a number is its distance from zero.

Absolute value is always positive; distances can't be negative, right?

So we need to find the absolute value of 98, which is:

[tex]\star~\star\mathrm{98}~\star~\star[/tex]

[tex]\ddot\bigstar[/tex] Remember this...

[tex]\fbox{The\;absolute\;value\;is\;a\;number's\;distance\;from\;zero}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

13. What is the surface area of the rectangular solid below using its net?
90 square units
108 square units
72 square units
84 square units

Answers

Answer:

108 square units

Step-by-step explanation:

3 x 4 = 12

3 x 4 = 12

6 x 3 = 18

6 x 3 = 18

6 x 4 = 24

6 x 4 = 24

24(2) + 18(2) + 12(2) = 108 square units

Therefore, the surface area of the rectangular solid below using its net is 108 square units

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

[tex]x =\sqrt 2[/tex]

Step-by-step explanation:

Given is a 30° - 60° - 90° triangle.

side x lie opposite to 30° angle

[tex]\implies x = \frac{1}{2}\times \sqrt 8[/tex]

[tex]\implies x = \frac{1}{2}\times 2\sqrt 2[/tex]

[tex]\implies x =\sqrt 2[/tex]

A candy is in the shape of a sphere. The candy has a radius of 1.5 centimeters. Which of the following is closest to the volume of the candy? (Use 3.14 for π.)

Answers

Answer:

The answer would be 14 cm

[tex]V = \frac{4pi(1.5)^3}{3}[/tex]

[tex]4.5pi = 14.3[/tex]

(pi = π)

Your welcome :)

Answer:

14 cm

Step-by-step explanation:

THE SIMPLE ANSWER

The nearest hundred to 83,752,245 is?

Answers

Answer:

83,752,000

Very positive with this answer

Answer:

83,752,200

Step-by-step explanation:

please give me brainlist

Please help!! Need help asap.​

Answers

B. i believe i think ive had this b4 and it was b

guys help just with part b for number 2!

Answers

Answer:

22 8th graders

Step-by-step explanation:

if 25% of the 88 kids are 8th graders then do this.

88x.25=22

88x.75=66

there are 22 eighth graders

and 66 seventh graders.

How do you write y=mx+b for this equation 21-y-mx=34

Answers

Answer:

y = -mx - 13.

Step-by-step explanation:

21-y-mx=34

Add y to both sides

21 - mx = 34 + y

Subtract 34 from both sides

-13 - mx = y

Rearrange:

y = -mx - 13.

URGENT

Find the area of the triangle. Round your answer to the nearest tenth.

A triangle A B C with side A C labeled 15 units and side B C as 7 units. The measure of angle A C B is 96 degrees.

The area of the triangle is about (blank) square units.

Answers

Answer:

hope you can understand

You wish to take a flight from Nevada to New York. Use the point (-4, 0) to represent Nevada, and the (5, 2) to represent New York. The airline has partitioned the flight so that you have a layover. The flight distance is partitioned in a ratio of 3:1. Determine the ordered pair that represents the location of the layover.

Answers

Using proportions, it is found that the ordered pair that represents the location of the layover is (3.75, 1.5).

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The flight distance is partitioned in a ratio of 3:1, hence, for both the x and y coordinates, we have that:

L - Nv = 3/4(Ny - Nv)

For the x-coordinate, we have that:

[tex]x + 4 = \frac{3}{4}(5 + 4)[/tex]

[tex]x = \frac{27}{4} - \frac{16}{4}[/tex]

[tex]x = \frac{11}{4}[/tex]

x = 3.75

For the y-coordinate, we have that:

[tex]y = \frac{3}{4}(2)[/tex]

[tex]y = \frac{6}{4}[/tex]

y = 1.5.

The ordered pair that represents the location of the layover is (3.75, 1.5).

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Seventy three percent of a town’s population own cars. What is the population of the town, if the number of cars owned is 112,420?

Answers

Fractions are written as a ratio of two integers. The total number of cars owned is 154000 cars

Fractions and percentages

Fractions are written as a ratio of two integers.

Given the following

Total cars = 112,420 cars

If Seventy three percent of a town’s population own cars, then;

73% of x = 112,420

where x is the total population

0.73x = 112,420

x = 112,420/0.73

x = 154000

Hence the total number of cars owned is 154000 cars

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The graph below shows the relationship between the number of months different students practiced tennis and the number of matches they won:

Part A: What is the approximate y-intercept of the line of best fit and what does it represent?

Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope.

Answers

Answer:

(a) (i) y-intercept = 3

    (ii) Represents that the team won 3 matches without any practice.

(b) (i) Equation: y = 1.8x + 3,  

    (ii) 26 matches won

The approximate y-intercept can be determined by seeing when the best fit line crosses the y axis.

Part A

Here the best line crosses the y-axis when y = 3. So coordinates: (0, 3)

Part B

Take two best points touching the line: (0,3), (5, 12)

[tex]\sf slope \ (m) = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{12-3}{5-0} = 1.8[/tex]

Equation:

y - y₁ = m(x - x₁)

y - 3 = 1.8(x - 0)

y = 1.8x + 3

So, after 13 months of practice: y = 1.8(13) + 3 = 26.4 ≈ 26 matches won.

#1

The y intercept should represent how much matches the team won without practice

Here its 3

(0,3)

#2

(0,3)(5,12)

Slope

m=12-3/5m=9/5

Equation in point slope form

y-3=9/5xy=9/5x+3

After 13 months

y=9/5(13)+3=117/5+3

Approximately 26matches

Which of these can help you visualize data? Select all that apply.

bank statement
circle graph
spreadsheet
table
bar graph

Answers

Answer:

circle graph and bar graph

Step-by-step explanation:

they visualize because they are not simply just words, they make colorful graphs

Help lolllllllllllll

Answers

Answer:

-5 or 5

Step-by-step explanation:

the absolute value of -5 is 5. The absolute value of 5 is also 5.

Hope this helps :)

Fred's teacher gave the class the
quadratic function f(x) = 4x² + 16x+9
State two different methods Fred could use to solve the equation f(x) = 0.

Using one of the methods stated in part a, solve f(x) = 0 for x, to the nearest
tenth.

Answers

Two methods Fred could use to solve the equation are

The completing the square method The formula method

The solution for the function is x ≅ -0.7 OR x ≅ - 3.3

Solving quadratic equations

From the question, we are to solve the given quadratic equation

Two methods Fred could use to solve the equation are

The completing the square method The formula method

The given quadratic function is

f(x) = 4x² + 16x+9

Now, we are to solve f(x) = 0 for x

That is,

4x² + 16x+9 = 0

Using the formula method to solve the equation

[tex]x =\frac{-b \pm \sqrt{b^{2}-4ac } }{2a}[/tex]

In the equation,

a = 4, b = 16, and c = 9

∴ [tex]x =\frac{-16 \pm \sqrt{16^{2}-4(4)(9) } }{2(4)}[/tex]

[tex]x =\frac{-16 \pm \sqrt{256-144 } }{8}[/tex]

[tex]x =\frac{-16 \pm \sqrt{112 } }{8}[/tex]

[tex]x =\frac{-16 \pm 10.58 }{8}[/tex]

[tex]x =\frac{-16+ 10.58 }{8}[/tex] OR [tex]x =\frac{-16- 10.58 }{8}[/tex]

[tex]x =\frac{-5.42 }{8}[/tex] OR [tex]x =\frac{-26.58 }{8}[/tex]

x = -0.6771 OR x = - 3.3229

x ≅ -0.7 OR x ≅ - 3.3

Hence, the solution for the function is x ≅ -0.7 OR x ≅ - 3.3

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A local television station sells time slots for programs in 303030-minute intervals. If the station operates 242424 hours per day, every day of the week, what is the total number of 303030-minute time slots the station can sell for Tuesday and Wednesday

Answers

Answer:

96

Step-by-step explanation:

Each day is 24 hours.

2 days = 2 × 24 hours = 48 hours

30-minute slot = 0.5-hour slot

48 hours / 0.5 hours = 96

Answer: 96

Answer:

96

Step-by-step explanation:

Which equation represents a line that is parallel to the line that passes through the points (-6,9) and (7,-17)?

Answers

Answer:

y = -2x-3

Step-by-step explanation:

Slope = - 2 C = - 3y =-2x-3

How many pairs of vertical angles are shown in the drawing?

Answers

Answer:

A.0

Step-by-step explanation:

Vertical angles are angles that are opposite of each other when two lines cross

Hope This Helped

10 1. Use the image below to answer the following questions: Solve for the measurement of A. b. Solve for y. a. C. Solve for x. X 48 Y A​

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

the sum of the 3 angles in the triangle = 180° , then

∠ A = 180° - 90° - 48° = 180° - 138° = 42°

(b)

using the tangent ratio in the right triangle

tan48° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{y}{10}[/tex] ( multiply both sides by 10 )

10 × tan48° = y , then

y ≈ 11.1 units ( to the nearest tenth )

(c)

using the cosine ratio in the right triangle

cos48° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{10}{x}[/tex] ( multiply both sides by x )

x × cos48° = 10 ( divide both sides by cos48° )

x = [tex]\frac{10}{cos48}[/tex] ≈ 14.9 units ( to the nearest tenth )

Using synthetic division, find (2x4 − 3x3 − 20x − 21) ÷ (x − 3).

A.
2x3 + 3x2 + 9x + 7
B.
2x4 + 3x3 + 9x2 + 7x
C.
2x4 + 3x2 − 11x − 54
D.
2x3 + 3x2 − 11x − 54

Answers

The correct option for the synthetic division is A. 2x³ + 3x² + 9x + 7

How to solve the division?

Write down the first coefficient without changes and multiply the entry in the left part of the table by the last entry in the result.

Then, add the obtained result to the next coefficient of the dividend, and write the sum. All the coefficients are the coefficients of the quotient, and the last coefficient is the remainder.

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How many different sequences of 3 playing cards (from a single 52-card deck) exist?
22,100
140,608
132,600
24,804

Answers

There 1,32,600 possibilities to withdrawn 3 different sequence of playing cards from 52 cards.

What is Permutations?

A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.

Here, total number of cards = 52

         Number of Withdrawn cards = 3

Possibilities of different sequences of 3 playing cards = 52 X 51 X 50

                                                                                          = 132600

Thus, there 1,32,600 possibilities to withdrawn 3 different sequence of playing cards from 52 cards.

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Answer:

132,600

Step-by-step explanation:

To determine the number of different sequences of 3 playing cards from a 52-card deck, we can use the formula for permutations, which is given by:

P(n, k) = n! / (n-k)!

Where n is the total number of items (in this case, the number of cards in the deck) and k is the number of items chosen (in this case, 3 cards).

Plugging in the values:

n = 52 (total number of cards in the deck)

k = 3 (number of cards chosen)

P(52, 3) = 52! / (52-3)!

Calculating the factorial terms:

52! = 52 x 51 x 50 x ... x 3 x 2 x 1

(52-3)! = 49! = 49 x 48 x ... x 3 x 2 x 1

Simplifying the equation:

P(52, 3) = 52 x 51 x 50

P(52, 3) = 132,600

Therefore, there are 132,600 different sequences of 3 playing cards that can be formed from a single 52-card deck.

Help asap plss step by step maybe?

Answers

(- 9 + a)/15 > 1 15 * (- 9 + 3)/15 > 15 - 9 + 3 > 15 a > 15 + 9 a > 24

[tex] \frac{ - 9 + a}{15} > 1 \\ \\ - 9 + a > 1 \times 15 \\ - 9 + a > 15 \\ a - 9 + 9 > 15 + 9 \\ a > 24[/tex]


if the observed value is 69.4 and the predicted value is 70.4, what is the residual value? round your answer to the nearest hundredth.

Answers

The residual value will be equal to -1.

What is residual value?

A residual is a difference between the observed y-value of a data point and the predicted y-value on a regression line for the x-coordinate of the data point. A residual is positive when the point is above the line, negative when it is below the line, and zero when the observed y-value equals the predicted y-value.

Take, for instance, we have the following data entry:

Observed value = 69.4

Predicted value = 70.4

The residual (r) would be:

Residual value = 69.4 - 70.4 = -1

Therefore the residual value will be -1

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find the area of the shaded part.

Answers

Answer:

Step-by-step explanation:

For part a :

The circumference of the circle is given by the formula 2πr. We are given r so we double r and put it next to pi :

C = 2×π×r = 2×π×8 = 16π

For part b :

The area of a circle is given by the formula πr². We are given r so we square r and put it next to pi :

A = π×r² = π×8² = 64π

For part c :

The area of a square is given by the formula a² where a is the side length. This question requires an extra step as we don't have the length of the square. But we know that the diameter of the circle will be equal to the side of the length. The diameter of a circle is given by the formula   2r : so

D = 2r = 2×8 = 16

So the area of the square will equal :

A = 16² = 256

Hope this helped and brainliest and hearts please.

I'm on my road to genius rank

Question 9 of 10
If you vertically compress the absolute value parent function, F(x) = |x|, by
multiplying by 3/4 what is the equation of the new function?

A: G(x)= |x+3/4|
B: G(x)= 3/4 |x|
C: G(x)= |x|-3/4
D: G(x)= |3/4 x|

Answers

Answer:

B. g(x) = 3/4|x|

Step-by-step explanation:

Multiplying the function by a number in front will stretch, compress, and/or reflect the function over the x-axis.

So if the number in front is negative that will flip it upside down, over the x-axis.

If the number is greater than 1, the function will be vertically stretched, narrower, slimmer, skinnier, taller.

In this case, the graph is vertically compressed, making it flatter, fatter, wider smashed. In this case is where the number multiplied in front of the parent function is LESS than one.

g(x) = 3/4 |x|


Five people, each working 8 hours a day, can assemble 400 toys in a 5-day work week. What is the average number of toys
assembled per hour, per person?
A 2
B 4
C 8
D 16

Answers

Answer:

A. 2

Step-by-step explanation:

First divide the 400 toys by the 5 people to see how many each did:

400 toys/5 people = 80 toys/person

Next let's see how many hours were worked by multiplying the hours per day by the number of days worked:

5 days x 8 hours/day

40 hours

Now to find how many toys were assembled per hour per person, let's divide the toys/person by the number of hours they each worked:

[tex]\frac{80 toys/person}{40 hours}[/tex]=2 toys/person/hour

The average number of toys per person per hour is 2.

What is Ratio?

Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

Total number of toys assembled = 400

Total days of work = 5  

Each person work daily for = 8 hrs

Total number of people = 5

Then, the total toys assembled per day

400/5= 80

The number of hours worked by the 5 workers per day = 8 × 5= 40

So, the number of toys assembled per person per hour = 80 / 40= 2

Hence, the average number of toys per person per hour is 2.

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Andy wrote the equation of a line that has a slope of Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction. and passes through the point (3, –2) in function notation.

Answers

Andy's equation is incorrect and the correct equation of the line is y + 2= 3/4(x - 3)

How to determine the equation of the line?

The given parameters are:

Slope, m = 3/4

Point, (x,y) = (3,-2)

The equation of the line is calculated using:

y - y1 = m(x - x1)

Substitute the known parameters

y + 2= 3/4(x - 3)

From the question;

Andy's equation is y + 2 = 3/4(x - 9/4)

The above equation is different from the actual equation y + 2= 3/4(x - 3)

Hence, Andy's equation is incorrect and the correct equation of the line is y + 2= 3/4(x - 3)

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Please show work! Factor sin^2Θ + sin^2Θ cos^2Θ

Answers

Factorization of sin²θ + sin²θ cos²θ gives us; 2sin²θ - sin⁴θ

How to simplify Trigonometric Functions?

We want to simplify;

sin²θ + sin²θ cos²θ

Let us factorize out sin²θ to get;

sin²θ(1 + cos²θ)

Now, we know that cos²θ = 1 - sin²θ

Thus;

sin²θ(1 + cos²θ) = sin²θ(1 + 1 - sin²θ)

⇒ sin²θ(2 - sin²θ)

⇒ 2sin²θ - sin⁴θ

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