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Answer:

The length of AX is 5 cm

Step-by-step explanation:

Diagonal of a Rectangle

Given a rectangle of dimensions W by L (as shown in the image below), the diagonal D is the segment that joins two opposite corners of the rectangle.

The diagonals cross at the center of the rectangle in point X, thus the length of AX is half the length of the diagonal.

Note the diagonal is the hypotenuse of a right triangle with legs W and L, thus:

[tex]D^2=W^2+L^2[/tex]

[tex]D^2=6^2+8^2[/tex]

[tex]D^2=36+64=100[/tex]

[tex]D=\sqrt{100}=10[/tex]

The length of the diagonal is 10 cm, thus the required distance is AX=10/2 = 5 cm.

The length of AX is 5 cm

Answer:

Clustering

Step-by-step explanation:

Data groups that are grouped closely together

Answer:

150.88 cm²

Step-by-step explanation:

A rectangular prism also known as cuboid is a three dimensional object with six rectangular faces and eight vertices. It is a prism because it has the same cross section along the length. It is called a rectangular prism because its cross section is rectangular.

The opposite faces of a rectangular prism are equal to each other.

The total surface area (TSA) of a rectangular prism is:

TSA = 2(wl + wh + lh)

where w is the width of the base, l is the length of the base and h is the height of the prism.

From the question, we can see that:

w = 5 cm, l = 7.4 cm and h = 3.1 cm. therefore:

TSA = 2(wl + wh + lh) = 2[(5 * 7.4) + (5 * 3.1) + (7.4 * 3.1)] = 2(37 + 15.5 + 22.94)

TSA = 2(75.44)

TSA = 150.88 cm²

Answer:

The value of the expression 8 - I2g - 5I is -4 ⇒ D

Step-by-step explanation:

The absolute value always gives a positive value IaI = a and I-aI = a

Let us solve the question

∵ The expression is 8 - I2g - 5I

∵ The value of g is g = -3.5

→ To find the value of the expression substitute g by -3.5

∵ 8 - I2g - 5I = 8 - I2(-3.5) - 5I

∴ 8 - I2g - 5I = 8 - I-7 - 5I

∴ 8 - I2g - 5I = 8 - I-12I

→ By using the rule above

∵ I-12I = 12

∴ 8 - I2g - 5I = 8 - 12

∴ 8 - I2g - 5I = -4

∴ The value of the expression 8 - I2g - 5I is -4

Answer:

Total number of peanuts =n

He shared with 5 people = 6 people

Each person had at least 18

n/6>=18

Step-by-step explanation:

When question like this is given , the English is very important. He shares with his friends is different from he shares among his friends. Then also, at least means greater than or equal to.

Answer:

18 ≤ n ÷ 6

Step-by-step explanation:

My text book says Isaac has a bag of n peanuts. He shares the peanuts with 5 of his friends. Each person gets at least 18 peanuts. The inequality 18 ≤ n ÷ 6 represents this situation. Graph the solution of this inequality

Answer:

The solution is x = -2, y = -3

Step-by-step explanation:

Let's start with the equation 3x + y = -9

Substitute the y for 5x+7 seen in the second equation

Now you have 3x + (5x+7) = -9

Lets solve:

Let's add the x's

Now we have 8x + 7 = -9

Substracy seven from each side

Now we have 8x = -16

Now let's divide 8 on each side

Now we have x = -2

Now lets plug in -2 to the second equation

The second equation is y = 5x+7

When we plug in -2 we get y=5(-2)+7

We multiply

We now have y = -10+7

Add

y = -3

The solution is x = -2, y = -3

Answer:

18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

3x + 2y + 4

x = 2

y = 4

Step 2: Evaluate

Answer:

18

Step-by-step explanation:

3x + 2y + 4 can be broken down like this:

3x = 3 • 2 = 6

2y = 2 • 4 = 8

So, 6 + 8 + 4 = 18.

Hope this helps.

Answer:

d is the answer

Step-by-step explanation:

Answer:

A histogram shows bars representing numerical values by range of value. A bar chart shows categories, not numbers, with bars indicating the amount of each category. Histogram example: student's ages, with a bar showing the number of students in each year.

Step-by-step explanation:

I HOPE THIS HELPS *

Answer:

A cluster is a group of bars, meaning the frequency is higher in these intervals. A peak is a bar that is higher than the other bars around it. So a peak is where the frequency is highest. Intervals on a histogram where there are no bars means the frequency is 0. If the graph is symmetrical, then the data are evenly distributed.

Step-by-step explanation:

Sample Response on EDG.

Answer:

The first and second

Step-by-step explanation:

The first one is right 12/3=4

The second one is right 12*5=60

The third one is wrong 100-184=-84 not 84

9514 1404 393

Answer:

  1980°

Step-by-step explanation:

The formula for the sum of interior angles of an n-gon is ...

  angle sum = 180°(n -2)

For n=13, the angle sum is ...

  angle sum = 180°(13 -2) = 180°×11

  angle sum = 1980°

Answer:

[tex]\dfrac{15}{8}=1\dfrac{7}{8}\ \text{blocks}[/tex]

Step-by-step explanation:

Distance to the restaurant from Carlos is [tex]5\dfrac{3}{8}=\dfrac{43}{8}\ \text{blocks}[/tex]

Distance of the ball field from Carlos' home is [tex]7\dfrac{1}{4}=\dfrac{29}{4}\ \text{blocks}[/tex]

He first goes to the restaurant so he covers a distance of [tex]\dfrac{43}{8}\ \text{blocks}[/tex].

Now the distance from the restaurant to the ball field is

[tex]\dfrac{29}{4}-\dfrac{43}{8}\\ =\dfrac{58-43}{8}\\ =\dfrac{15}{8}=1\dfrac{7}{8}\ \text{blocks}[/tex].

So, Carlos would have to walk [tex]1\dfrac{7}{8}\ \text{blocks}[/tex] farther to get to the ball field.

Answer:

c + d - d = c

Step-by-step explanation:

c = c

d - d = 0

c + 0 = c

c = c

Answer:

30241530

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

y and x have a Direct variation if the function looks looks like y = mx (b is equal to zero). The only option that can be written like that is option C. And it can be written as

y = 26x

Answer:

14. x = 6, y = 8

15. x = 5, y = 7

16. x = 7, y = 10

Step-by-step explanation:

For a parallelogram, the length across the point of intersection of its diagonals are equal.

So that;

14. PT = TR

    QT = TS

So that,

2x = y + 4

2x - y = 4 ...........1

x + 2 = y

x - y = -2 ............. 2

subtract equation 2 from 1,

x = 6

substitute the value of x in equation 1,

2 x 6 - y = 4

y = 12 - 4

  = 8

x = 6, y = 8

15. PT = TR

    QT = TS

x + 2 = y

x - y = -2 .......... 1

2x = y + 3

2x - y = 3 ......... 2

Subtract equation 1 from 2

x = 5

substitute the value of x in equation 1

5 - y = -2

5 + 2 = y

y = 7

x = 5, y = 7

16. PT = TR

    QT = TS

y = x + 3

x - y = -3 ......... 1

2y = 3x -1

3x - 2y = 1 ......... 2

Multiply equation 1 by 2 to have;

2x - 2y = -6 ....... 3

subtract equation 3 from 2

x = 7

substitute the value of x in equation 1

7 - y = -3

-y = -7 -3

-y = -10

multiply through by minus

y = 10

x = 7, y = 10

Answer:

48 feet

Step-by-step explanation:

So first find the amount of fence they would need in terms of x, which would be (x - 2) + (3x - 1) + (5x + 8) + (3x - 1) + (x - 2). Then, you know these add up to 106 so you get the equation:

[tex]x-2+3x-1+5x+8+3x-1+x-2 = 106[/tex]

Now, you just have to solve.

First, combine like terms

[tex]13x + 2 = 106[/tex]

Then, subtract 2 from both sides

[tex]13x = 104[/tex]

Next, divide both sides by 13.

[tex]x = 8[/tex]

The last step is to find the length of 5x + 8 by substituting x = 8 in

[tex]5*8+8=40+8=48[/tex]

Answer:

Step-by-step explanation:

Water in a 10 gallon tank is draining at a rate of 2 gallons per hour.

= 10 - 2x

Water in a separate tank is filling at a rate of 4 gallons per hour.

= 10 + 4x

Equating both Equations together

10 - 2x = 10 + 4x

10 - 10 = 4x - 2x

How long until the tanks have the same amount of water?

Let the time = x

Answer:

y = 15 + 0.08x

y = $35

Step-by-step explanation:

Given :

Plan A:

Flat rate = $15

Cost per minute = 0.08

Let x = number of minutes

Total. Cost = flat fee + (per minute charge * number of minutes)

y = 15 + 0.08x

Plan B:

$35 unlimited calling

Total cost, yregardless of minutes used :

y = $35

She needs to convert all the numbers be be the same type ( fraction or decimal).

With the numbers she has it would be easiest to convert all the numbers to decimals.

72/80 = 0.9

3 1/5 = 3.3

Pi = 3.14

Now she can arrange the decimals in order:

-2.9, 0.9, 2.979, 3.14, 3.2

She needs to switch 3 1/5 and pi

Answer:

3 1/5 is tha one

Step-by-step explanation:

Answer:

3/4 x 5/6 =  15/24 = 5/8 multiply the length and width.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

solve what

Step-by-step explanation:

there's no question

Answer:

you forgot the picture lol