# Caroline walked 40 laps on an indoor track in 20 minutes. what was caroline s average speed in laps per minute? (2023)

17.05.2023the following question

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17.05.2023, solved by verified expert

Nitin Arora m Master Mathematics, English, Physics. Research Scholar at Indian Institute of Technology, Roorkee 1 390 2 318 answers 4.9 rating

The answer would be 2 laps per minute

Explanation

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

We can set this problem up as . We simply divide and we get 2 laps per minute.

I hope this helps : )

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### Faq

Mathematics

Caroline walked 40 laps on an indoor track in 20 minutes. what was caroline s average speed in laps per minute?

The answer would be 2 laps per minute

Explanation

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

We can set this problem up as . We simply divide and we get 2 laps per minute.

I hope this helps : )

Mathematics

What is the equation of the line graphed below? a. y=mx b. y=m(x+1) c. y=mx+b d. y=m/x+1

The answer is a, cause it intersects at the origin and the gradient is m, thus thats why its a straight line

Mathematics

What is the slope of this linear function? y=−4x−9

The slope of the given linear function is -4.

Step-by-step explanation:

We have been given the linear equation

The slope intercept form of a line is given by

Here, b is y-intercept and m is the slope.

On comparing, the given equation with the slope intercept form, we get

b = -9

m = -4

It means that the y-intercept is -9 and the slope of the line is -4.

Therefore, the slope of the given linear function is -4.

Mathematics

Triangle abc is transformed to obtain triangle a′b′c′: a coordinate grid is labeled from negative 12 to 0 to 12 on both x- and y-axes at increments of 1. triangle abc has a at ordered pair 2, 2, b at 2, 10, c at 8, 12. triangle a prime b prime c prime has a prime at ordered pair negative 1, negative 1,b prime at negative 1, negative 5, c prime at negative 4, negative 6. which statement is correct for triangle abc. and triangle a prime b prime c prime.? triangle abc is similar to triangle a prime b prime c prime., because triangle a prime b prime

Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 2. and then rotating it about the origin by 180 degrees

Step-by-step explanation:

All the coordinates of A'B'C' are -1/2 times those of ABC. The dilation factor is 1/2, and rotation by 180° is indicated.

A'(-1, -1) = (-1/2) × A(2, 2)

B'(-1, -5) = (-1/2) × B(2, 10)

C'(-4, -6) = (-1/2) × C(8, 12)

___

Rotation by 180° negates both coordinates. It is equivalent to reflection across the x-axis and reflection across the y-axis, in either order.

Mathematics

Write an equation for the parabola shown in the picture.

D. x-2 = (-2/9)(y +3)^2

Step-by-step explanation:

The parent function, x = y^2 is translated 2 units to the right and 3 units down. This means x is replaced by x-2, and y is replaced by y+3.

There is also a horizontal scale factor involved. It is useful to use the point (0, 0) to determine what it is.

... (x -2) = a(y +3)^2 . . . . . the translated function with unknown factor "a"

... 0 -2 = a(0 +3)^2 . . . . . .substitute (x, y) = (0, 0)

... -2 = 9a . . . . . . . . . . . . . simplify

... a = -2/9 . . . . . . . . . . . . .divide by the coefficient of "a"

So, the graph is described by ...

... (x-2) = (-2/9)(y+3)^2 . . . . . matches selection D

Mathematics

Which sequence of transformations will change figure pqrs to figure p′q′r′s′? a coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. figure pqrs has p at ordered pair 1, 2, q at 2,1, r at 3,2, s at 3,3. figure p prime q prime r prime s prime has p prime at ordered pair 1,negative 2, q prime at 2,negative 1, r prime at 3,negative 2 and s prime at 3,negative 3. counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis counterclockwise rotation about the origin by 180

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has vertices$$p(1,2),q(2,1),r(3,2),s(3,3)$$recall that for counterclockwise rotation about the origin, $$(x,y)\rightarrow (-x,-y)$$when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will become$$p1( - 1, - 2),q1( - 2, - 1),r1( - 3, - 2),s1( - 3, - 3)$$next, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,$$p'(1, - 2),q'(2, - 1),r'(3, - 2),s'(3, - 3)$$therefore the correct answer is c

Mathematics

What is the result when 2x^3 -9x^2 +11x-6 is divided by x-3 ? show the work?

Step-by-step explanation:

2x^3 -9x^2 +11x-6 divided by x-3

We use long division

2x^2 - 3x + 2

x - 3 2x^3 - 9x^2 + 11x - 6

2x^3 - 6x^2

(subtract)

-3x^2 + 11x

-3x^2 + 9 x

(subtract)

2x - 6

2x - 6

(subtract)

Quotient : 2x^2 - 3x + 2

Mathematics

Find the measure of one exterior angle of the following polygon: nonagon

40°

Step-by-step explanation:

An exterior angle and an interior angle are supplementary angles.

Two Angles are Supplementary when they add up to 180°.

Therefore the measure of exterior angle is equal to different between 180° and an interior angle.

Method 1:

You can use the formula of the measure of interior angle of the regular polygon with n-sides:

We have a nonagon. Therefore n = 9. Substitute:

Method 2:

Look at the picture.

- it's an interior angle

We know: The sum of measures of these three angles of any triangle is equal to 180°.

Therefore:

Substitute:

- it's a exterior angle

substitute:

Mathematics

Two problems here i need solved! i need every step, so have that with your 1. solve this rational equation: $$frac{1}{(x-4)}+ frac{x}{(x-2)}= frac{2}{x^{2}-6x+8}$$1. solve this radical equation: $$sqrt{x+11} -x=-1$$

QUESTION 1

We want to solve,

We factor the denominator of the fraction on the right hand side to get,

This implies

We multiply through by LCM of

We expand to get,

We group like terms and equate everything to zero,

We split the middle term,

We factor to get,

But

is not in the domain of the given equation.

It is an extraneous solution.

is the only solution.

QUESTION 2

We add x to both sides,

We square both sides,

We expand to get,

This implies,

We solve this quadratic equation by factorization,

But

is an extraneous solution

Mathematics

What is the reverse of “multiply by 6”

Divide by 6

Step-by-step explanation:

The reverse or inverse of multiply by 6 is divide by 6.

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