Which is equivalent to RootIndex 3 StartRoot 8 EndRoot Superscript x? RootIndex x StartRoot 8 EndRoot Superscript x 8 Superscript StartFraction 3 Over x EndFraction 8 Superscript StartFraction x Over 3 EndFraction 8 Superscript 3 x

Answer

Kendal will be 60 meters away from the library after 80 seconds and again after 100 seconds.

Step-by-step explanation:

Let t represent time in seconds. Kendal is riding at a rate of 6 meters/second, so 6t represents the distance she can travel in t seconds.

The distance to the library is 540 meters. Because Kendal is riding toward the library, subtract 6t from 540 to find the distance between Kendal and the library before she passes it:

540 − 6t.

Kendal will be 60 meters away from the library twice, once as she approaches it and again after she passes it. The absolute value of the difference 540 − 6t represents Kendal's distance from the library. To find the time after which Kendal will be 60 meters away from the library, form an absolute value equation:

|540 − 6t| = 60.

Solve an absolute value equation by writing it as two separate linear equations and solving each one:

540 − 6t = -60 540 − 6t = 60

-6t = -600 -6t = -480

t = 100 t = 80

Let t represent time in seconds. Kendal is riding at a rate of 6 meters/second, so 6t represents the distance she can travel in t seconds.

The distance to the library is 540 meters. Because Kendal is riding toward the library, subtract 6t from 540 to find the distance between Kendal and the library before she passes it:

540 − 6t.

Kendal will be 60 meters away from the library twice, once as she approaches it and again after she passes it. The absolute value of the difference 540 − 6t represents Kendal's distance from the library. To find the time after which Kendal will be 60 meters away from the library, form an absolute value equation:

|540 − 6t| = 60.

Solve an absolute value equation by writing it as two separate linear equations and solving each one:

540 − 6t = -60 540 − 6t = 60

-6t = -600 -6t = -480

t = 100 t = 80

The answer is 80

algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. it involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

Given:

Kendal is riding at a rate of 6 meters/second

The distance to the library is 540 meters.

Let x represent time in seconds

So, kendal travel = 6x

So, distance between Kendal and the library before she passes it:

=540 − 6x.

Now, Kendal will be 60 meters away from the library.

Kendal will be 60 meters away from the library

540 − 6x= 60

-6x= 60-540

-6x= -480

x= -480/-6

x= 80

Hence, the answer is 80

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Answer:

[tex]\boxed {\tt 11.6 \ feet}[/tex]

Step-by-step explanation:

The area of a square can be found using the following formula.

[tex]A=s^2[/tex]

We know the area of the patio is 135 square feet. Substitute 135 ft² in for A.

[tex]135 \ ft^2=s^2[/tex]

We want to find the side length. We must isolate the variable, [tex]s[/tex]. on one side of the equation.

s is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.

[tex]\sqrt{135 \ ft^2} =\sqrt{s^2}[/tex]

[tex]\sqrt{135 \ ft^2} =s[/tex]

[tex]11.61895 \ ft =s[/tex]

Round to the nearest tenth. The 1 in the hundredth place tells us to leave the 6 in the tenth place.

[tex]11.6 \ ft \approx s[/tex]

Each side of the patio is about 11.6 feet.

Answer:addition property of equality, combine like terms, distributive property and division property of equality.

Step-by-step explanation: I took the test

Answer:

10,11,12

Step-by-step explanation:

10+12=22

Answer:

[tex]\huge\boxed{slope=-\dfrac{3}{2}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (2, 3) and (-4, 12).

Substitute:

[tex]m=\dfrac{12-3}{-4-2}=\dfrac{9}{-6}=-\dfrac{9:3}{6:3}=-\dfrac{3}{2}[/tex]

Answer:

Step-by-step explanation:

like terms=-9y-y

and 5x-13x

like terms means terms with same variables

Answer: x= 17°

Step-by-step explanation:

The interior angle of a triangle adds up to 180 degrees. It indicates that it is a right triangle so it already has a 90 degree angle  and if you add it to the two other angles they have to equal 180 degrees.  

(2x + 4 ) ( 3x + 1) + 90 = 180  

5x + 95 = 180

    -95       -95

5x = 85

x = 17

Answer:

9178.5

Step-by-step explanation:

Follow PemDas

From Left to Right, you multiply 87 x 422, which is 36,714

Then, thake that number and divide it by 4, giving you 9,178.5

Answer:

t = 74 / 9

Step-by-step explanation:

-9(t - 2) = 4(1 - 15)

-9t + 18 = 4 - 60

-9t + 18 = -56

 -18      -18

-9t = -74

/-9     /-9

t = 74 / 9

t = 8.22

Answer:

t = 74 / 9 ~= 8.222

Step-by-step explanation:

-9 ( t - 2 ) = 4 ( 1 - 15 )

-9 * t + -9 * -2 = 4 * 1 + 4 * -15

-9t + 18 = 4 + -60

-9t + 18 = -56

-9t = -56 + -18

-9t = -74

t = 74 / 9

Alternatively:

-9 ( t - 2 ) = 4 ( 1 - 15 )

-9 * t + -9 * -2 = 4 ( - 14 )

-9t + 18 = -56

-9t = -56 + -18

-9t = -74

t = 74 /9

Cheers.

Answer:

EG=55

Step-by-step explanation:

EF+FG=EG

(6x+12)+(13x+5)=29x-3

19x+17=29x-3

20=10x

2=x

29x-3

29(2)-3

58-3

55

Check

(6x+12)+(13x+5)

((6(2)+12))+((13(2)+5))

(12+12)+(26+5)

24+31

55

Answer:

- 2 - 5i

Step-by-step explanation:

Given

(4 + 2i) + (- 6 - 7i) ← remove the parenthesis

= 4 + 2i - 6 - 7i ← collect like terms

= - 2 - 5i

Answer:

Sorry but this is not mathematics, if you put it in computer and technology, your question may be answered

Sorry but I can't help.

Answer:

option 1 is the correct answer

Step-by-step explanation:

since 12 is less than 20. then we will deduct -1 from y; which is 0

Answer:

(0, 5 )

Step-by-step explanation:

The y- intercept is where the function crosses the y- axis.

This occurs when x = 0 , thus

From the table when x = 0 , f(x) = 5 , thus

y- intercept is (0, 5 )

y- intercept is (0, 5 )

Answer:

Answer: The scale factor of the triangle is 4

Step-by-step explanation:

please give brainlist

in the way you wrote it the answer would be

1

_ ----

3

but but if you meant to do it backwards 7/15 and 2/15 the answer will 1

-----

3

hope this helped

Answer:

12

Step-by-step explanation:

4x3=12

Answer:

Step-by-step explanation:

Sum of measures of angles in any triangle is 180°

The maesure of right angle is 90°

So:  m∠EFD = 180° - 90° - 57° = 33°

Answer:

7.390

Step-by-step explanation:

Answer:

7.39

Step-by-step explanation:

The hundredths place of 7.393 is the 9.

To round off to the nearest hundredth, drop all decimal place to the right of the hundredths place.

7.39

Since the first dropped digit to the right of the 9 is a 3, we keep the 9 as is.

Answer: 7.39

Step-by-step explanation:

2√48= 13.86

3√147= 36.37

Perimeter: 13.86+13.86+36.37+36.37= 100.46

Answer:

x/2 + 7 = 13 is the answer

Answer: C

Step-by-step explanation: He sold half of his comic, meaning dividing whatever he had by 2. Buying 7 more and it will equal 13.

Answer:

Step-by-step explanation:

7x - 9 = x + 3

6x - 9 = 3

6x = 12

x = 2

7(2) - 9 + 2 + 3

14 - 9 + 5

5 + 5 = 10

Answer:

-5i

Step-by-step explanation:

Answer:

A. 56 52 feet

Step-by-step explanation:

[tex]d = 18 \: ft \\ c = \pi \: d \\ c = 3.14 \times 18 \\ c = 56.52 \: ft[/tex]

The closest to the circumference is  56 52 feet.

It is required to find the circumference.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

Given:

Diameter of a circle is 18 feet.

Radius=18/2=9  feet.

We know that

circumference of the circle= 2πr

According to given question we have,

circumference of the circle= 2πr

circumference of the circle=2 π*9

circumference of the circle=56.54 feet.

Therefore, the closest to the circumference is  56 52 feet.

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Answer:the first one is volume the second one is density

Step-by-step explanation:I took the test

Answer:

volume and density

Step-by-step explanation:

Answer:

s = students, m = money they pay

S(M)=350

The expression that represents the amount that each student needs to fundraise is -  y = [tex]$\frac{350}{x}[/tex]

We have robotics team who needs to purchase $350 of new equipment.

We have to determine the expression which represents the amount that each student needs to fundraise.

Assume the amount paid by each student be x. Then -

50x = 3000

x = $60

According to the question, we have -

Assume that the number of students in the robotics team are x.

Assume that the money contributed by each member is $y.

Then, the expression represents the amount that each student needs to fundraise is -

xy = 350

y = [tex]$\frac{350}{x}[/tex]

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Answer:

[tex]y = \frac{c-ax}{b}[/tex]

Step-by-step explanation:

ax + by = c

subtract ax from both sides

ax + by = c

-ax             -ax

=

by = c- ax

divide b on both sides

[tex]\frac{by}{b}[/tex] = [tex]\frac{c- ax}{b}[/tex]

=

[tex]y = \frac{c-ax}{b}[/tex]

Answer:

draw a girl and a boy with a son or a daughter and you got a proptional relationship

Step-by-step explanation:

Answer:

See Below (Isolate the variables)

Step-by-step explanation:

13) d = 4AM solve for M

Divide both sides by 4A

[tex]\frac{d= 4AM}{4A}[/tex]

[tex]\frac{d}{4A} = M[/tex]

14) [tex]\frac{A}{6}[/tex] = f+h  solve for A

Multiply both sides by 6

A = 6( f+h)

15) h - m = qb solve for H

Add m to both sides

h - m = qb

  + m   +m

h = qb + m