find the length and simplify in radical form

Answer:

1/9

Step-by-step explanation:

There is 1/3 gallon of water in a 3 gallon container. The fraction of the container that is filled is  1/9

(1/3 of a gallon divided by 3 gallons equals 1/9)

SOLUTION

Step 1 : We need to recognize the value of x in 5 places means 5 x

and the value of 1 in 6 times means 6,

so we have that: 5 x + 6 = 1 .

Step 2 : We need the linear equation: 5 x + 6 = 1

collecting like terms, we have that:

5 x = 1 - 6

5 x = - 5

Divide both sides by 5 , we have that:

x = - 1

CONCLUSION : The value of x = -1 ( OPTION B )

The sign of 3.456+(-3.456) is neither positive nor negative—the sum is zero.

We are asked to find the sign of 3.456+(-3.456)

This expression can be simply written as 3.456 - 3.456 because of the identity we have, x+(-y) = x-y

Now if same quantities are subtracted, we get zero only.

Also zero is neither positive nor negative.

Hence there is no sign for 3.456+(-3.456).

Also 3.456+(-3.456) = 0.

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From following steps, she can add relevant pictures to her slide.

It is a presentation-based program that employs graphics, movies, etc. to enhance the interactivity and appeal of a presentation. A saved PowerPoint presentation has the ".ppt" file extension. PPT is another name for a PowerPoint presentation that includes slides and other elements. Create presentations from scratch or using a template with PowerPoint on your PC, Mac, or mobile device. Include text, pictures, artwork, and videos. Using PowerPoint Designer, pick a polished layout. Cinematic motion, transitions, and animation should be added.

Given Data

Eden is creating a presentation about bee hummingbirds in PowerPoint Online, She would like to add an image to her side about how they collect nectar.

From following steps, she can add relevant pictures to her slide.

Open the slide to which you wish to add a photograph.

Point to Picture in the Insert menu, and then click Photo Browser.

Navigate to the image you want to insert in the dialogue box that appears, click it to pick it.

Then drag it to the slide.

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The percentage of members that voted is 70%.

The art club had an election to select a president. 42 out of the 60 members of the art club voted in the election.

Therefore, the percentage of the members that voted can be calculated as follows;

percentage that voted = number of people that voted / total number members × 100

Therefore,

number of people that voted = 42

total number members = 60

Hence,

percentage that voted = 42 / 60 ×100

percentage that voted = 4200 / 60

Therefore,

percentage that voted = 70%

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It would take 35 minutes to drive 1 km at a speed of 1.71 km/h.

Speed is the ratio of distance traveled in a given time.  Speed is given by distance/time.

The time can be computed by dividing distance by speed.

This implies that time is the quotient of distance and speed.

The total distance drove = 1 km

The driving speed = 1.71 km/h

Time = Distance/Speed

= 1/1.71

= 0.58 hours

= 0.58 x 60 seconds

= 35 minutes 5 seconds

Thus, to travel 1 kilometer at the speed of 1/71 kilometers per hour would take 35 minutes.

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The coordinates along the directed line segment is (37/7, 11/7)

The points are given as:

A  = (3, -3)

B = (7, 5)

The ratio on the segment can be represented as;

m : n = 4 : 3

So, we have the coordinates of the point that lies along the directed line segment to be

Point = 1/(m + n) * (mx2 + nx1, my2 + ny1)

So, we have:

Point  = 1/(4 + 3) * (4 * 7 + 3 * 3, 4 * 5 + 3 * -3)

Evaluate

Point  = 1/7 * (37, 11)

Evaluate the products

Point  = (37/7, 11/7)

Hence, the coordinates of the point is (37/7, 11/7)

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According to the commutative property of addition, you can rearrange the addends without altering the result.

2 + (-3) +(-15) = (-3) +(-15) +2

To learn more about :  Commutative

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Based on the chemical equations given, the balanced equation would be d. D.

In Chemistry, a balanced equation is one that has the same number of atoms on the left side of the equation, as on the right side of the equation.

The balanced equation is therefore:

2KCIO₃ -->2 KCI + 3 O₂

This is because there are 2 KCI atoms and 6 Oxygen atoms on the left side, and there are also 2 KCI atoms and 6 Oxygen atoms on the right side.

In conclusion, option D is correct.

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Answer:

x = 218.7

Step-by-step explanation:

To solve for x, we multiply .30 by 729. Once multiplied, we get the answer 218.7. Therefore, x = .30(729) is the same as x = 218.7.

The equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems will be 2x + 4y = 100.

An equation is used to show the relationship between the variables that are given.

In this case, the test in math class has problems worth 2 points and problems worth 4 points and altogether the test has 100 points.

Let x represent the number of 2-point problems. Let y represent the number of 4-point problems.

The appropriate equation will be:

2x + 4y = 100

This illustrates the equation

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Answer:

55 minutes

Step-by-step explanation:

sharat's train arrived on time (11.15) but Nitin's was after and 10 mins later it'd be 11.25

Answer:

0

Step-by-step explanation:

Where, if at all possible, A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1 Therefore, the standard form for y = 0 is: 0x + 1y = 0

From the given statement based on different conditions following are true :

Statement 2, 3, 4 are true

As given in the question,

1. Lisa has 1 4/12 cups of grapes = 16 /12 cups

  Dawn has 1 11/12 cups of grapes = 23 /12 cups

Together they have = (16/12) + (23/12)

                              = (39 /12) cups of grapes

Given statement of 2 1/2 cups of grapes is false.

2. Rachel has 1 7/15 cups of chocolate chips = 22/15

Maya has 8/15 cups of chocolate chips

Rachel has more cups of chocolate chips than Maya

Difference = (22/15) - (8/15)

                 = 14 /15

3. George has 2 5/10 cups of milk = 25 /10

Raymond  has 1 1/10 cups of milk =11 /10

George has more cups of milk than Raymond

Difference = (25 /10) - (11/10)

                = 14/10

                 = 1.4 cups of milk

                 ≈ 1 cup of milk (approximately)

Statement is true.

4. Gavin has 1 13/14 buckets of water = 27 /14

    Devin has  1 3/14 buckets of water = 17 /14

  Together they have = (27/14) +(17/14)  

                =44/14

                 = 3.14

                 ≈ 3(approximately) buckets of water

Statement is true.

Therefore, from the given statement based on different conditions following are true :

Statement 2, 3, 4 are true .

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Answer:

:]

Step-by-step explanation:

[tex]-2\leq x\leq 2[/tex]

Answer:

In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by {\displaystyle \operatorname {dom} } or {\displaystyle \operatorname {dom} f}, where f is the function

The length of the rectangle is 10, the width is 2.5 and the perimeter is 25

Let the width of the rectangle be x

The length of rectangle = 2x + 5

The overall length of the outline determines a rectangle's perimeter in two dimensions. We add the lengths of all four corners of a rectangle to find its perimeter. Since the opposite sides of a rectangle are always equal, we must determine the length and width of the rectangle in order to determine its perimeter.

Perimeter = 10 times of width

= 10*x

= 10x

The formula for the perimeter of a rectangle is given:

Perimeter = 2(Length+Breadth)

10x = 2(x + 2x+5)

10x = 2(3x+5)

10x = 6x + 10

4x = 10

x=2.5

Length = 10

Width = 2.5

Perimeter = 25

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The acceleration require for the body to not explode will be 0.2941[tex] m/s^2 [/tex]

The finish line as given is 253m away so that distance to be covered will be 253m.

Also we had started to run from rest so that initial velocity will be 0m/s.

We should take care that we could not explode and this is possible only if we reach to the velocity of 53.2m/s. So our final velocity will be 53.2m/s.

Now average velocity will be the sum of initial velocity and final velocity divided by 2.

∴ Average velocity  =  (initial velocity + final velocity) / 2.

∴ Average velocity = (0 + 53.2) / 2 = 53.2 / 2 = 26.6m/s

As we know that average velocity will give us an average time of the run by formula average speed = distance / average time.

∴ Average time = distance / average speed

∴ Average time = 253 / 26.6 = 9.51s.

Now as we know by the formula to calculate acceleration we need the average velocity, average time and we have both of them.

∴ Acceleration = [tex] \frac{average\ velocity}{(average\ time)^2}[/tex]

∴ Acceleration = [tex] \frac{26.6}{(9.51)^2}[/tex]

∴ Acceleration = [tex] \frac{26.6}{90.44}[/tex]

∴ Acceleration = 0.2941[tex] m/s^2 [/tex]

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Answer:

6 since it occurs the most times

The probability for the number of fish the bear caught is 0.289

Given,

Number of fish the bear tries to catch during day = 40

Number of attempts made by the bear at night = 50

Percentage of successful attempts during day = 20%

Percentage of successful attempts at night = 36%

Number of fish the bear caught during day = 40 × (20/100) = 4 × 2 = 8 fish

Number of fish the bear caught at night = 50 × (36/100) = 36/2 = 18 fish

Total number of fish the bear caught = 8 + 18 = 26 fish

Now,

Probability for the number of fish the bear caught:

Probability = Number of fish caught / Total attempts

Probability = 26 / (40 + 50)

Probability = 26 / 90

Probability = 0.289

Therefore,

The probability for the number of fish the bear caught is 0.289

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The filed has a perimeter value of 720000 decimeters

From the question, the area of the field is given as

Area = 3.24 hectares

Also, we have the shape of the field to be square

So, we start by calculating the side length of the field using

Length = √Area

Substitute the known values in the above equation

Length= √3.24 hectares

Length= √3.24 * 10000 square meters

Evaluate the square root

Length= 18000 meters

The perimeter is calculated as

P = 4 * Length

So, we have

P = 4 * 18000 meters

Evaluate

P = 72000 meters

Convert

P = 720000 decimeters

Hence, the perimeter is 720000 decimeters

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Answer:

3.94*10^7

Step-by-step explanation:

Answer:

3.94 * 10^7

Step-by-step explanation:

:]

Step-by-step explanation:

First is

5(1-1)+10= 5×0+10= 0+10 = 10

2nd is

5(2-1)+10=5× 1+10= 5+10=15

3rd= 5(3-1)+10= 5×2+10=10+10=20

4th=5(4-1)+10=5×3+10=15+10=25

I hope it will be helpful for you.

Answer:

40

Step-by-step explanation:

Given :
32=0.8x
( x is unknown number )

x=32/.8

x=40

Answer:

Step-by-step explanation:

2

Combine multiplied terms into a single fraction

3

Find common denominator

4

Combine fractions with common denominator

5

Multiply the numbers

Answer:

3x2x2x3

Step-by-step explanation:

3x2x2x3= 36

I hope that was helpful!

My pleasure to help!!

Answer: y = (5x/4) + 2

Step-by-step explanation:

Answer:

y = 5/4x + 2

Step-by-step explanation:

First, we convert 4x + 5y = 15 to slope intercept form (y=mx+b):

5y = -4x + 15

Divide both sides by five

y = -4/5 (x) + 3

The slope is -4/5

A perpendicular slope is the negative reciprocal of the other line. To find the negative reciprocal, you switch the numerator and denominator and switch the sign.

Slope = 5/4

Plug the slope and (-4, -3) into the slope-intercept form:

-3 = ( 5/4 · -4 ) + b

Isolate b (the y-intercept):

-3 = -5 + b

b = 2

y = 5/4x + 2

Answer:

7-t

Step-by-step explanation:

t+4+3-2t

= t+7-2t

= -t+7 or 7-t

Answer:  [tex]m = 7.3\pi[/tex]

I multiplied both sides by pi to isolate m.

Answer:

B

Step-by-step explanation:

6x5=30

30x2/3=20

The dimension of the flower garden, which located in the middle of the backyard surrounded by a strip of grass, is 26 m length and 16 m width.

The situation can be depicted on the attached picture.

We need to translate the word problem into algebraic expressions.

Let x be the width of the grass strip.

Let A be the area of the grass strip.

Then,

A = 2 . 22x + 2 . (32 - 2x)x

288 = 2 . 22x + 2 . (32 - 2x)x  (divide by 2)

144 = 22x + x(32 - 2x) (divide by 2)

72 = 11x + x(16 - x)

72 = 27x - x²

x² - 27x + 72 = 0

This is a quadratic equation. One of the methods to solve a quadratic equation is by factorization.

Factorize the left side:

(x - 3) (x - 24) = 0

x = 3  or  x = 24

The length of the flower garden  = 32 - 2x

The width of the flower garden  = 22 - 2x

Substitute x = 3:

The length of the flower garden  = 32 - 2 . 3 = 32 - 6 = 26 m

The width of the flower garden  = 22 - 2 . 3 = 16 m

Note that if we substitute x = 24, it will results in negative values while the dimension is always positive.

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