kristy ran 24 laps in chairity run and then walked 0.2 kilometer to the presentation table. The total distance Kristy traveled was 29.6 kilometers. What was the distance of each lap? Explain how you solved the problem.​

Answers

Answer 1

total distance of 24 laps

29.6km - 0.2km

=29.4km

total distance of each lap

24 laps = 29.4km

1 lap = ?

Use cross-multiple

24 laps × X = 29.4km × 1 lap

X = 29.4km / 24

X = 1.225km

Answer

1.225km

Answer 2

Answer:

1.225km is equal to each laps

Step-by-step explanation:

Since Kristy total distance traveled = 29.6km

And Kristy ran 24 laps and later walk 0.2km. it simply implies that

Total distance traveled = distance covered running + distance covered walking

Since we know that

Total distance traveled = 29.6km

distance covered running = 24 laps

distance covered walking = 0.2km

Distance covered running in km = total distance traveled - distance covered walking

Distance covered running in km = 29.6km - 0.2km = 29.4km.

To now find the distance for each lap.

Since we have:

Distance covered running in km = 29.4km.

Distance covered running in lap = 24 laps

i.e

24 laps = 29.4km

1 lap = x

Use cross-multiple

24 laps * x = 29.4km × 1 lap

x = 29.4km / 24

x = 1.225km

Therefore

1.225km is equal to each laps.


Related Questions

Which of the following statements is false?

Answers

Answer:

A

Step-by-step explanation:

Volume and capacity measure the same idea. They each describe how much something can hold. Volume measures it in cubic units while capacity measures it in ounces, liters, etc. It can be almost any measurement. They will not have the same measurement type or number since each measurement will give different numbers.

What is the measure of an arc intercepted by an inscribed angle whose measure is 88 degrees
44
88
176
None of the above

Answers

Answer:

[tex]176\°[/tex]

Step-by-step explanation:

we know that

The inscribed angle is half that of the arc it comprises.

so

In this problem

Let

x-----> the measure of an arc intercepted by an inscribed angle

[tex]88\°=\frac{1}{2}(x)[/tex]

[tex]x=2(88\°)=176\°[/tex]

Option (C) The intercepted arc of an inscribed angle measuring 88 degrees has a measure of 176 degrees, which is twice the size of the inscribed angle according to the Angular Measurement of Arcs property.

The measure of an arc intercepted by an inscribed angle is twice the measure of the inscribed angle. Given that the inscribed angle measures 88 degrees, the intercepted arc would therefore measure 176 degrees. This is because according to the Angular Measurement of Arcs property, an arc's measure is twice that of its corresponding inscribed angle (Theorem 7 in the reference material).

what is the composition of Transformations mapping ∆ABC to ∆A'B"C"?

the first transformation is ______________
a. a reflection across m
b. a rotation about b
c. translation down

the second transformation is ________________
a. a reflection across m
b. a rotation about a
c. a translation right

∆ABC is ______________ ∆A'B"C".
a. greater than
b. less than
c. congruent to​

Answers

Answer:

I would say the answer is

1. reflection across m

2. rotation about a

3. congruent to

all transformations are congruent to each other unless it is a dilation.

Step-by-step explanation:

Answer:   The first transformation is a. a reflection across m.

The second transformation is b. a rotation about a.

∆ABC is c. congruent to​ ∆A'B"C".

Step-by-step explanation:

In the given picture, we can see that ΔABC is reflected across line m to create ΔA'B'C' such that all the corresponding points in both the triangles are equidistant from the line of reflection m.

∴ First transformation: Reflection across m.

After that, there is rotation of  ΔA'B'C' about point A' about some degrees such that, every corresponding points in both the triangles are equidistant from the point of rotation A'.

∴ Second transformation : Rotation about A'.

Since reflection and rotation are rigid transformations, therefore they produce only congruent figures.

Therefore, ∆ABC ≅ ∆A'B'C'

∆A'B'C' ≅  ∆A'B"C"

By law of transitivity of congruence,

∆ABC  ≅ ∆A'B"C"

3(14-5x) = 72


what is x

Answers

Answer: x = -2

Step-by-step explanation:

The original problem is 3(14-5x) = 72. First, multiply 3 by the contents of the parentheses:

42 - 15 x = 72

Next, subtract 42 from each side:

-15x = 30

Now divide both sides by -15:

X = -2

Answer: -2

Step-by-step explanation:

First you begin by taking 3 and multiplying is by 14 and -5x:

(3 X 14) - (3 X -5x) = 72

42 - 15x = 72

Next, you subtract 42 from each side to isolate the variable.

-15x = 30

Next you divide each side by -15 to get the value of x.

X = -2

I hope this helps!

solve this equation for x. round your answer to the nearest 0 = ln (x+6)

Answers

Answer: [tex]x=-5[/tex]

Step-by-step explanation:

To solve this exercise you need to remember the following:

[tex]e^{lnx}=e^{lny}[/tex] → [tex]x=y[/tex]

Therefore, keeping the above on mind, you can solve for x as following:

[tex]e^0=e^{ln(x+6)}[/tex]

[tex]e^0=x+6[/tex]

Remember that, by definition: [tex]a^0=1[/tex], then you have:

[tex]1=x+6[/tex]

Subtract 6 from both sides of the equation.

Then the value of x is:

[tex]1-6=x+6-6\\x=-5[/tex]

Please help me answer this question!!! and explain bc im very stupid and my grades are low. 15 points

Answers

Answer:

17

Step-by-step explanation:

The top angle is 90 degrees, so I would assume that m<1 is 90 degrees.  Plugging this into the equation gives us 90 = 4y + 22.  Subtract 22 from both sides, and we get 68 = 4y.  Divide both sides by 4, and we get 17 = y.

what series of transformation from ∆ ABC to ∆ DEF shows that ∆ ABC =~∆ DEF​

Answers

Reflection? I'm not sure

It is reflection, I took a mini quiz on this

The perimeter of a triangle below is 4x+3y. Find the measure of the missing side. (One side is x-y, the other is x+y)

Answers

Answer:

P = 2X + 3Y

Step-by-step explanation:

Perimeter of a triangle is the sum of its three sides, so:

P is the side to find

4x + 3y = (X-Y) + (X+Y) + P

We can to eliminate  -y and y, so:

4x +3y = 2X + P

Reducing terms:

4x - 2x + 3y = P

P = 2X + 3Y

Best regards

Final answer:

The missing side of the triangle can be found by subtracting the known sides from the total perimeter. So, in this case, the measure of the missing side is 2x+3y.

Explanation:

The subject of this question is Mathematics and it's applicable for a High School level. The question is asking to find the measure of the missing side of a triangle with a given perimeter and two sides. In this scenario, the perimeter of a triangle is given as 4x+3y, and two sides of the triangle are mentioned as x-y and x+y.

The perimeter of a triangle is the sum of the lengths of all its sides. If two sides are given as x-y and x+y, and the perimeter is 4x+3y, then the missing third side can be determined by subtracting the lengths of the known sides from the total perimeter, i.e., the missing side = perimeter - (sum of known sides) = 4x+3y - [(x-y) + (x+y)].

Simplifying this, we get: missing side = 4x+3y - 2x = 2x+3y. So, the missing side of the triangle has the measure of 2x+3y.

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what is -4,5 reflected across the x axis

Answers

The answer to what is -4,5 reflected across the x axis is 4,5 bwcause its like a opposite

The coordinate obtained when -4,5 reflected across the x axis is (-4,-5).

What is Transformation?

The process of reflecting, dilating, rotating or translating is called Transformation.

The coordinate is (-4,5)

When a coordinate is reflected over x axis, the coordinate changes in following form:

(x,y) -------> (x,-y)

The new coordinate will be (-4,-5).

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I have no idea what the answer is too this. It is geometry if you didn't know already. I'm really struggling here. If anybody could help me out with the answer that would be great

Answers

Answer:

33.68

Step-by-step explanation:

The two y values coming from I are equal.

The two x values coming from K are equal.

That's because tangents to a circle from the same external point are equal.

5x + 1 = 6x - 3              Add  3 to both sides

5x + 1 + 3 = 6x -3+3     Combine

5x + 4 = 6x                   Subtract 5x from both sides.

5x-5x+4=6x- 5x            Combine

4 = x

===================

y + 10 = 4y + 2               Subtract y from both sides

y-y+10=4y-y+2               Combine

10 = 3y + 2                      Subtract 2 from both sides

10-2=3y+2-2                   combine

8 = 3y                              Divide by 3

8/3 = y

y = 2.67

====================

Now you just put x and y into the parts that make up IK.

IK should come out to 33.68

Circle A has radius 4 feet. Circle B has radius 9 feet. What is the ratio of the area of circle A to the area of circle B?

23

49

827

1681

Answers

Answer:

[tex]\large\boxed{\dfrac{16}{81}}[/tex]

Step-by-step explanation:

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

r - radius

Circle A:

radius = 4 ft. Substitute:

[tex]A_A=\pi(4^2)=16\pi\ ft^2[/tex]

Circle B:

radius = 9 ft. Substitute:

[tex]A_B=\pi(9^2)=81\pi\ ft^2[/tex]

The ratio:

[tex]\dfrac{A_A}{A_B}=\dfrac{16}{81}[/tex]

NEED HELP PLZ
Paul pays property tax in Dallas. On which of the
following might Paul pay property tax?
A clothing
B office space
C groceries
D salary

Answers

Answer:

B office space.

Step-by-step explanation:

What it says is Paul pays property tax. Property will be a building of some sort so office space is your answer.

-2x+15y=-24
2x+9y=24
solve the system of equation

Answers

Answer:

x = 12, y = 0

Step-by-step explanation:

Use elimination.

24y = 0

y = 0

Then plug back into the second equation.

2x + 9(0) = 24

2x = 24

x = 12

Plug back into the first equation to check.

what is 0.1675 rounded to the nearest hundreth​

Answers

0.1675 rounded to the nearest hundredth is 0.17.

When 0.1675 is rounded to nearest hundredth decimal place answer would definetely be

0.17

plzzzzzz mark as brainliest!!!

2 3/4 divided by 3. What is the quotient and what is it in lowest terms?

Answers

Answer:

  11/12

Step-by-step explanation:

2 3/4 = 2·(4/4) + 3/4 = (8/4) +(3/4) = (8+3)/4 = 11/4

Then your problem becomes ...

  (11/4) / 3 = (11/4) · (1/3) = (11·1)/(4·3) = 11/12

___

The numerator and denominator have no common factors, so this is lowest terms.

Final answer:

The quotient of 2 ³/₄ divided by 3 is 11/12, and it is already in the lowest terms.

Explanation:

To calculate the quotient of 2  ³/₄ divided by 3, we first convert the mixed number to an improper fraction. So, 2  ³/₄ is the same as 11/4 (because 2 x 4 + 3 = 11). Next, we divide this improper fraction by 3, which is the same as multiplying by the reciprocal of 3, which is 1/3.

11/4 × 1/3 = 11/12. This gives us the final quotient, which is already in lowest terms, as 11 and 12 have no common factors besides 1.

Given AB= BC= CD. What is the measure of angle AFB? ​

Answers

Answer:40

Step-by-step explanation:

the map shows the location of four places on a school Peterson English class is located in the same quadrant as the auditorium. which of the following could be the coordinates of the English classroom? (there is a pic with the answer choices and the map) PLLZZ HELLLPPP​

Answers

Answer:

Hey its (-3,2

Step-by-step explanation:

Answer:

i think -3-2 i hope that helps

Step-by-step explanation:

it;'s -3-2 because its in the same quadrant as the auditorium so it is both nehgative numbers

remmi wrote the equation of the line y=1/3(x+2). He solved for x and got x=3y-2. which following is an equivalent equation for x?

Answers

Answer:

Answer you chosen in the option is correct!

Step-by-step explanation:

Here we can see that Remmi got x =3y -2

if we need to match it from given options we can take 3 as common factor from the right side ,Since we dont have 3 common in second term but using common number of property of numbers we can pull 3 from both terms because of which 3 is now in denominator of second term which is 2/3

therefore equation becomes  as third option so answer chosen by you is correct

Answer:

C.

Step-by-step explanation:

What is the slope of the line 6x+3y=12

Answers

Answer:

-2 is the slope

Step-by-step explanation:

To find the slope of the line, we need to solve for y

6x +3y = 12

Subtract 6x from each side

6x-6x +3y = -6x+12

3y = -6x+12

Divide each side by 3

3y/3 = -6x/3 +12/3

y = -2x+4

This is in slope intercept form

y = mx+b   where m is the slope and b is the y intercept

-2 is the slope and 4 is the y intercept

The difference between 48 and 13 algebra numeral expression.

Answers

Numerical expressions contain numbers, while algebraic expressions contain variables and numbers.

Numerical Expression

"Difference" indicates that we'll be subtracting 13 from 48.

48 - 13 = 35

Algebraic Expression

Variables represent the unknown number, in this case the difference between 48 and 13. Let d represent the difference between the two.

48 - 13 = d

35 = d

What are the x and y intercepts of y=x^2+3x-10 (show all steps please)

Answers

Answer:

X-int: (2,0) , (-5,0)

Y-int: (0,-10)

Step-by-step explanation:

To solve for the x-int, set y to 0.

0= x^2 + 3x - 10

0= (x-2)(x+5)

x= 2, and -5

To solve for the y-int, set x to 0.

y= (0)^2 + 3(0) - 10

y= -10

What is the solution of the system of equations?

y = x - 10

y = 2x + 5

Answers

Final answer:

To solve the system of equations y = x - 10 and y = 2x + 5, we equate both expressions for y, solve for x, and find x = -15. Substituting x back into either equation gives y = -25, making the solution (x, y) = (-15, -25).

Explanation:

The question seeks the solution of the system of equations given by y = x - 10 and y = 2x + 5.

To find the solution, one can use the substitution method, where the expression for y in one equation is substituted into the other equation.

This gives us two equations stated to have the same value of y, which means they can be set equal to each other: x - 10 = 2x + 5.

Solving this equation for x involves moving x terms to one side and constants to the other, yielding x = -15. Substituting x back into either original equation (e.g., y = x - 10), we find y = -25.

Thus, the solution to the system of equations is x = -15 and y = -25.

4x-11=3.2x+13. Write the lesser solution first. Round to the nearest tenth if needed

Answers

Final answer:

To solve the equation 4x - 11 = 3.2x + 13 and find the lesser solution, subtract 3.2x from both sides, simplify the equation, and solve for x. The lesser solution is x = 30.

Explanation:

To solve the equation 4x - 11 = 3.2x + 13 and find the lesser solution, we need to isolate the variable x. Here are the steps:

Start by subtracting 3.2x from both sides: 4x - 3.2x - 11 = 3.2x - 3.2x + 13.This simplifies to 0.8x - 11 = 13.Add 11 to both sides: 0.8x -11 + 11 = 13 + 11.Now we have 0.8x = 24.Divide both sides by 0.8: (0.8x) / 0.8 = 24 / 0.8.This gives us x = 30.

So, the lesser solution is x = 30.

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what are the zeros of the function? f(x)=x(x-2)(x+1)
-2
-1
0
1
2
select EACH correct answer

Answers

Answer:

x = -1, 0 , 2

Step-by-step explanation:

The zeros of the function are the solutions to its factors. When you set each factor equal to 0 using the zero product property, the solutions for x are the zeros. The function has factors x, x-2, and x+1. Set each equal to 0 and solve for x.

x = 0

x - 2 = 0 has solution x = 2

x + 1 = 0 has solution x = -1

An article reports "attendance dropped 8 precent this year, to 3800." What was the attendance before the drop?​

Answers

Answer:

approx 4130

Step-by-step explanation:

x * .92 = 3800

3800/.92 = 4130.43478261

4130 approx. attendance before drop

Answer: 4,130

Step-by-step explanation:

Hi, to answer this we have to multiply the attendance before the drop (x) by the percentage that assisted after the drop ( 1-0.08) . That expression must be equal to the attendance after the drop (3800)

Mathematically speaking:

8% = 8/100 = 0.08 (decimal form)

x (1-0.08)= 3800

x (0.92) =3800

Solving for x

x = 3800/0.92

x= 4,130

sidaanth kept a chart of his savings .which point represents this relationship?​

Answers

Point B in the graph represents the relationship to Sidhaanth's savings.

How do we read a graph in the Coordinate (x-y) plane?

A point on the graph can be read as a point (x, y) where y is the perpendicular distance of the point from the x-axis and x is the perpendicular distance of the point from the y-axis.

How do we solve the given question?

We are asked to tell the point that represents Sidhaanth's savings among the points A and B.

We analyze each point like this:

Point A:

The perpendicular distance from the y-axis (x) = 1 unit.

The perpendicular distance from the x-axis (y) = 28 units.

∴ The point is (1, 28) which says that Sidhaanth's weekly savings are $28.00. This is not true, as his weekly saving, as seen from the table is $7.00.

So, point A doesn't represent the relationship to Sidhaanth's savings.

Point B:

The perpendicular distance from the y-axis (x) = 2 units.

The perpendicular distance from the x-axis (y) = 14 units.

∴ The point is (2, 14) which says that Sidhaanth saves $14.00 every 2 weeks. This is true, as we can see from the table that his savings in the 2nd week are $14.00.

So, point B represents the relationship to Sidhaanth's savings.

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Answer:B

Step-by-step explanation:

Because the graph shows times 7 point be shows 2(weeks) and 14(dollars) and also that’s what the table shows

what is the scale factor​

Answers

Answer:

The scale factor is 1/3

Macy was asked to compare the two ratios 4:5 and 19 to 30.

Answers

The correct answer is C, 4:5 would be equivalent to 24/30, because 30 divided by 5 is equal to 6, so you would multiply the numerator and denominator by the same number.

Answer:

Macy did not find the correct equivalent fraction with denominator 30.

Step-by-step explanation:

We need to compare two ratios 4:5 and 19:30.

First we will write them in the form of fraction:

[tex]\displaystyle\frac{4}{5} \text{ and } \displaystyle\frac{19}{30}[/tex]

Now, in order to compare these ratios, we fave to make their denominators equal that is find equivalent fraction with denominator 30.

[tex]\displaystyle\frac{4\times 6}{5\times 6} \text{ and } \displaystyle\frac{19}{30}[/tex]

[tex]\displaystyle\frac{24}{30} \text{ and } \displaystyle\frac{19}{30}[/tex]

Now, we have to compare the two fractions on the basis of their numerators.

It is clear that:

[tex]\displaystyle\frac{24}{30} > \displaystyle\frac{19}{30}[/tex]

Which of the following graphs is decreasing for all values of x?

A. X
B. Y
C. Z
D. W

Answers

Answer:

y

Step-by-step explanation:

please give branleist

Graph-Y is decreasing from the beginning for all the values of 'x'.

What is the graph of an equation?

The graph of an equation represents the nature of that equation by plotting the points.

Four graphs W, X, Y, and Z are given.

1. Graph-W is constant up to a certain values of 'x'. After that it is increasing for the rest of the values of 'x'.

2. Graph-X is increasing from the beginning. After that it is constant for certain values of 'x'. Then the graph is increasing.

3. Graph-Y is decreasing from the beginning for all the values of 'x'.

4. Graph-Z is increasing from the beginning. After that it is decreasing.

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write a division equation to represent the repeated subtraction for 32 take away 8 is 24​

Answers

Answer:

32÷8

Step-by-step explanation:

Division is like repeated subtraction

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The problem that would repeatedly take away 8 from 32 is 32÷8

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The same is true for 25÷5, it is asking how many times can 5 be taken away from 25, hence repeated subtraction

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