The following dot plot shows the number of books each student checked out from the library last month. Each dot represents a different student. Which of the following is a typical number of books one student checked out?

Answer:

SA = 108 ft^2

Step-by-step explanation:

The front and back faces are triangles with 4 ft base and 3 ft height.

The three sides are rectangles with dimensions 4 ft by 8 ft, 8 ft by 5 ft, and 3 ft by 8 ft.

The surface area is the sum of the areas of the two triangles and the three rectangles.

SA = 2 * (1/2)(4 ft * 3 ft) + 4 ft * 8 ft + 8 ft * 5 ft + 3 ft * 8 ft

SA = 12 ft^2 + 32 ft^2 + 40 ft^2 + 24 ft^2

SA = 108 ft^2

Answer:

[tex]a+b+c+d = -5\cdot b[/tex]

Step-by-step explanation:

The given system of equations is now reduced:

1) [tex]a+b = c[/tex], [tex]b+c = d[/tex], [tex]c+d=a[/tex], [tex]b > 0[/tex] Given

2) [tex]a = c+d[/tex] By 1)

3) [tex](c+d)+b=c[/tex] 2) in 1)

4) [tex]d = b + c[/tex] By 1)

5) [tex][c+(b+c)]+b = c[/tex] 4) in 3)

6) [tex]2\cdot b + 2\cdot c = c[/tex] Algebra

7) [tex]c = -2\cdot b[/tex] Algebra

8) [tex]d = -b[/tex] 7) in 4)/Algebra

9) [tex]a = -3\cdot b[/tex] 7) and 8) in 2)/Algebra

10) [tex]a+b+c+d = -5\cdot b[/tex] 9), 1), 7) and 8)/Algebra/Result

Answer:

A

Step-by-step explanation:

To find the distance between V1 and AQ use the distance formula

[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

First find the coordinates of both V1: (-6, 5)    AQ: (5, 5)

Now plug it in and solve for d (11)

Answer:

240 inches cubed

Step-by-step explanation:

Volume equals length times width times height. Imagine the net is folded into its shape. The product of the base, 6 x 10 = 60, and the height, 4, equals 240. Remember that each square accounts for two inches. Hope this helps.

Mean Absolute Deviation (MAD) is found through the following steps

1) Find the mean. We add up the values and divide by the number of items.

2) Subtract each value from the mean and apply absolute value to ensure the result is not negative. This tells us how far each value is from the mean. Call these sets of distances set D.

3) Find the mean of set D, using the idea talked about in step 1. This will produce the MAD.

Answer:

[tex]124.63[/tex]

Step-by-step explanation:

[tex]a = \pi \times r {}^{2} = \pi \times (6.3) {}^{2} = \pi \times 39.69[/tex]

[tex]\pi \times 39.6 = 3.14 \times 39.69 = 124.63[/tex]

Hope this helps ;) ❤️❤️❤️

The area of circle will be;

⇒ 124.63 cm²

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The radius of circle = 6.3 cm

Now,

Since, The radius of circle = 6.3 cm

We know that;

Area of circle = π r²

Hence, We get;

⇒ Area of circle = 3.14 × 6.3²

                         = 3.14 × 39.69

                         = 124.63 cm²

Thus, The area of circle will be;

⇒ 124.63 cm²

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Answer:

72.4004 ft/sec

Step-by-step explanation:

We know the parabola has width of 4.5 above the x-axis.

The parabola must face downward in order to represent a downward arc.

Therefore, the equation is:

-x^2+4.5x

The vertex is at (2.25, 5.063).

The max height was 5.063.

vy=v0y+ay⋅t

y=y0+v0y⋅t+12⋅ay⋅t2

Answer:

You can do 4+5+8+6+2.

and It is 25.

so, 25 pumpkins!

Step-by-step explanation:

plz give me brainliest.

thank you and have a nice day!

Answer:

[tex]\huge\boxed{ 25\ pumpkins}[/tex]

Step-by-step explanation:

By looking at the given histogram and determining the no. of pumpkins, we get:

Number of Pumpkins = 4 + 5 + 8 + 6 + 2

=> 25 pumpkins

Answer:

20

Step-by-step explanation:

We know that ΔBAC and ΔBED are similar becuase of the AA Postulate (they both have a right angle and they both share ∠B). Since AC is 15/3 = 5 times longer than ED, the scale factor is 5 which means AB is 5 times longer than EB. This makes EB = 25 / 5 = 5. Since AB = AE + EB and we know that AB = 25, AE = x and EB = 5, 25 = x + 5 which means x = 20.

Answer:

See below.

Step-by-step explanation:

Horizontal lines have the equation:

[tex]y=n[/tex]

Where n is the value the horizontal line stays on.

Vertical lines have the equation:

[tex]x=n[/tex]

Where n is the value the vertical line stays on.

For the two north-south lines, one of them stays on -5 and the other stays on 8. Therefore, the two vertical line equations are:

[tex]x=-5 \text{ and } x=8[/tex]

For the two east-west lines, one of them stays on -7 and the other stays on 4.

Therefore, the two horizontal line equations are:

[tex]y=-7 \text{ and } y=4[/tex]

Answer:

Below in bold.

Step-by-step explanation:

-6x + 3y = -7

The x intercepts occur when y = 0, so

-6x + 3(o) = -7

x = -7/-6

x = 7/6

So the x-intercept =  (7/6, 0).

The y intercept:

-6(0)  + 3y = -7

y = -7/3.

So the y-intercept =  (0, -7/3.t).

Answer:

the one selected, the one on top

Step-by-step explanation:

The x term has a coefficient of 4. Take half of this to get 2, then square it to get 4. This is the value we add to both sides to get x^2+4x+4 = 5. Note how x^2+4x+4 factors into (x+2)^2

---------

Another example: Let's say we started with x^2+6x = 1. To complete the square, we need to add 9 to both sides. I start with 6 (the x coefficient) and cut that in half to get 3, then I squared that to get 9. So we add 9 to both sides getting x^2+6x+9 = 10 which becomes (x+3)^2 = 10

The term that must be added to the equation x2+4x=1 to make it into a perfect square is 4.

In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no ax^2 term.

For example

Examples of quadratic equations are: 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0, 2x² – 64 = 0, x² – 16 = 0, x² – 7x = 0, 2x² + 8x = 0 etc.

Given :

x²+4x=1

as, the x has coefficient 4.

so half the coefficient of x and add and subtract the square of the remaining.

x²+4x + 2 ² - 2² =1

Now, make the whole square term

x²+4x + 2 ² - 4 - 1=0

( x + 2)² -5= 0

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Answer:

The probability of 3 students having blood type A is 1.23 , having blood type B is 0.3 and having blood type AB is 0.12

Step-by-step explanation:

Answer:

  x = -2

Step-by-step explanation:

Collect terms:

  26 = -13x

Divide both sides of the equation by the coefficient of x:

  26/-13 = x = -2

The solution is x = -2.

Answer:

-2

Step-by-step explanation:

14+12=-15x+2x

26=-13x

x=26/-13

x=-2

Answer:

Challenge #1:

Different examples:

2x+1=3x+2

4x+3=5x+4

3x+2=4x+3

Challenge #2:

Different examples:

2x+0=4x+1

3x+1=2x+5

6x+5=8x+6

Answer:

(-2x + 1 = 1x + 1) or (-4x + 2 = 2x + 2)

Step-by-step explanation:

Answer:

486 ft²

Step-by-step explanation:

If the cube volume is 729 ft³, then the length of one side is

∛(729 ft³) = 9 ft.

The cube (like all cubes) has 6 identical sides, each 9 ft by 9 ft, or 81 ft².

Label each side with '81 ft²'

Since there are 6 such sides, the total surface area is 6(81 ft²) = 486 ft²

Answer:

22 years

Step-by-step explanation:

Well we know the formula for simple interest is

I = PRT

I = interest earned

P = initial balance

R = rate

T = time

We want to solve for time here....so rearrange for T

T= I/(PR )

We have

P = 825

R = .057

And I = current balance - initial balance = 1859.55 - 825 = 1034.55

So plugging all those in we have

T = 1034.55/(825×.057 )

T = 1034.55/47.025

T = 22

It was held for 22 years.

Answer:

It would take 9 hours for them to meet.

Step-by-step explanation:

Total distance covered by both per hour: 19+17=36

The total time to go 324 miles for them: 324/36=9

Answer:

  90 in²

Step-by-step explanation:

The lateral area can be found using the formula ...

  LA = (1/2)Ph

where P is the perimeter of the base and h is the slant height. For your dimensions, the lateral area is ...

  LA = (1/2)(3×5 in)(12 in) = 90 in²

The lateral area is 90 square inches.

Answer:

You cant get someone to do all of this try doing a few or getting help from someone older that's what I did

Explanation:

I asked help for one problem and the explanation and now I understand how they did it so the other problems I can do now

It's better to make an effort and try doing some of them instead of asking someone to do all of it

Because when the test comes it won't be that easy so next time just try putting a few so that way you can try understanding it and you can apply it to similar problems.

I hope you can find this some what help to you in the future. Also this is a suggestion from my experience so you don't have to do it I'm just trying to help out.

Answer:

lets start with finding the slope

m=7-(-1)/4-3

m=8

now we can choose either of the 2 points given and the slope and plug that into the point slope form

y-7=8(x-4)

y-7=8x-32

y=8x-25

and that is your equation

Answer:

y = 8x - 25

Step-by-step explanation:

The equation of a line is y = mx + b

To find the slope use y2-y1/x2-x1

When you plug it in it will be 7 + 1/4 - 3 (8)

Now it is y = 8x + b

Lastly you need to plug in a coordinate to the equation to find b

7 = 8(4) + b (-25)

Answer:

28 units²

Step-by-step explanation:

→ Work out the size of the triangle if it was a full rectangle

Height = 4 and Base = 2

→ Work out area of triangle

0.5 × Height × Base ⇒ 0.5 × 4 × 2 ⇒ 2 × 2 ⇒ 4

→ Minus the area of the triangle from the "imaginary full' rectangle

Area of rectangle = Length × Width ⇒ 8 × 4 ⇒ 32

32 - 4 = 28

Answer:

[tex]\huge\boxed{28\ units^2}[/tex]

Step-by-step explanation:

The figure consists of a triangle, a square and a rectangle.

Area of Triangle:

[tex]\sf \frac{1}{2} (Base)(Height)\\Where \ Base = 2 , Height = 4 \\=> \frac{1}{2} (2)(4)\\=> 4\ units^2[/tex]

Area of Square:

[tex]\sf (Length)(Length)\\(4)(4)\\=> 16\ units^2[/tex]

Area of rectangle:

[tex]\sf (Length)(Width)\\Where \ Length = 4 , Width = 2\\=> (4)(2)\\=> 8 \ units^2[/tex]

Area of the whole figure:

=> 4 + 16 + 8

=> 28 units²

Answer:

6×[tex]10^{-4}[/tex]

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

C

Answer: C

I had the same question.

Also hope this helps

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The amount left in the bank account is -$50.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount in the bank account = $150

Cost of the bike = $200

The amount left in the bank account.

= 150 - 200

= -$50

Thus,

The amount left in the bank account is -$50.

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Answer:

there's two

Step-by-step explanation:

q=(4-√24)/2=2-√6=-0.449

and

q=(4+√24)/2=2+√6=4.449

Answer:

1. $64

2. 20%

3. 25%

4. $65.50

Step-by-step explanation:

1.   80 x 20% = ?  

method =  80 x 0.20 = 16 = $16 80-16 = 64 = $64

2. 14 x ? % = $11.20  

method = We divide 11.20/14 = 0.8  = 0.80 = 80% inverse of 80% = 20%

proof 14 x 0.20 = 2.80  so; 14 -2.80 = $11.20

3. 1000 x ? = $750

method = 1000/750 = 0.75   0.75 = 75%  inverse on original price = 25%

4. $55 x 10% = ?

method = 55 x 1.10 = 65.5  = $65.50