If a = 6 and b = 5, what is the value of the following expression?


4a + b




A.

9

B.

24

C.

19

D.

29

Population size: 8

Median: 19

Minimum: 11

Maximum: 28

First quartile: 13.25

Third quartile: 23.75

Interquartile Range: 10.5

Outliers: none

- Attached image is the box and whisker plot

Step-by-step explanation:

[tex] = 6 \times \frac{4}{15} \\ [/tex]

[tex] = \frac{6}{1} \times \frac{4}{15} \\ [/tex]

[tex] = \frac{24}{15} \\ [/tex]

Change into lowest term ....

[tex] = \frac{8}{5} \\ [/tex]

Change into mixed....

[tex] = 1 \ \frac{3}{5} \\ [/tex]

The formula for calculating the area of a trapezoid is expressed as A = 0.5(a+b)h. The given area of the trapezoid is 1398.9 square inches

The formula for calculating the area of a trapezoid is expressed as:

A = 0.5(a+b)h

Given the following parameters

a = 10m = 393.7in

b = 6in

h = 7in

Substitute

A = 0.5(393.7 + 6) * 7
A = 0.5 * 399.7 7
A = 1398.9 square inches

Hence the given area of the trapezoid is 1398.9 square inches

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Answer:

The correct answer is 56. This is correct on e d g e .

Step-by-step explanation:

We add together the two bases, divide by two, and then multiply by the height, getting 56. I hope this helps anyone on the exam

The total weight of water and a full tank in the nearest pound is 16328 lb.

Volume of a hemisphere = (2/3) x (n) x (r^3)

3.14 x 5³ x 2/3 = 261.67 ft³

Weight = volume x weight per cubic foot

261.67 ft³ x 62.4 = 16328 lb

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Answer:

[tex]\frac{19+8\sqrt{3} }{13}[/tex]

Step-by-step explanation:

Given :

Multiply using the reciprocal :

Simplify numerator and denominator :

Answer:

The answer is B

Please read the explanation... it always helps!!!

Step-by-step explanation:

All of the choices ask for difference.... it really helps when you draw a number line to solve these types of questions....

but for B you will need to imagine a compass..

alrighty for option B lets examine why it is correct....

Imagine you were standing on a dot (lol)

you walked 1.5 steps to the left  <--

then you walked 1.5 steps to the right -->

you can see that you walked in opposite directions and in the end you will be back where you started (aka on the dot, still lol)

meaning the displacement is zero

that is why option B is correct

i really hope this isn't confusing and it helps!!!

Answer:

0.43 meters per second

Step-by-step explanation:

12/28

Answer:

33.6

Step-by-step explanation:

this is a circle

so

the area of a circle = pi x radius squared(since it's a 2-D shape)

but this is 3-D

so

V = 2664.31 = (4/3)([tex]\pi[/tex][tex]r^{3}[/tex])

you could also use

A = ³√(36 * π * V²) when A is the surface area

but those are too long, so let us just use the answer choices

V = 3.14 x answer choice x radius sqaured

V = 3.14 x 8.6 x radius sqaured

2664.31 = 3.14 x 8.6 x radius sqaured

radius sqaured =  2664.31/3.14 x 8.6

radius sqaured =  2664.31/27.004

radius sqaured can't be made with this

lets skip V

radius sqaured =  2664.31/3.14 x 17.2

radius sqaured = 2664.31/54.008

since 27.004 didn't work, and 54.008 is 2 times as that

radius sqaured = 2664.31/3,14 x 33.6

radius sqaured =  2664.31/105.504 ≈ 25

25 square rooted is 5

so

33.6

Answer:

Its A

Step-by-step explanation:

Its A

Answer:

Angle H is 133

Step-by-step explanation:

(h-48)+95=180

solve it and you will get 133

Answer:

133°

Step-by-step explanation:

from the diagram,

(h- 48)° +95°= 180° ( angles on a straight line)

h-48+95 = 180°

h+47 = 180

collect like terms

h = 180-47= 133°

Answer:

8×3×2=48

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Answer:

48 cubic meters

Step-by-step explanation:

The equation of line is y = ( 1/4 )x , with slope m = 1/4

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 0 , 0 )

Let the second point be Q ( 8 , 2 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2 - 0 ) / ( 8 - 0 )

Slope m = 2/8 = 1/4

Now , the equation of line is y - y₁ = m ( x - x₁ )

On simplifying , we get

y - 0 = ( 1/4 ) ( x - 0 )

y = ( 1/4 )x

Hence , the equation of line is y = ( 1/4 )x

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11/12 of the garden is occupied by broccoli and peppers. Therefore, 11 /12 of the garden has vegetable growing in it.

We know that 1/4 of the garden has broccoli and 2/3 of the garden has peppers, Therefore, let's add up those two fractions to find out how much of the whole garden that has broccoli and peppers.

Therefore,

1/ 4 + 2 / 3 = ?

The denominator needs to be the same. Therefore,

1/4 × 3/ 3 = 3 / 12

2/3 × 4 /4 = 8 / 12

Hence,

3 / 12 + 8 / 12 = 11 / 12

11/12 of the garden is occupied by broccoli and peppers. Therefore, 11 /12 of the garden has vegetable growing in it.

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Answer:

see attached picture for details

a = BOA + COD

b = BOD

c = 150

d = BOA + COD

Step-by-step explanation:

see attached picture with color coded answers

Answer:

D

Step-by-step explanation:

because it's simple add it up 7$/5 9$/12.60

The height of the square-based pyramid is 3.5 in.

The volume of the square-based pyramid is the product of the base area multiplied by one-third of the height of the square-based pyramid.

Mathematically;

[tex]\mathbf{V = a \times \dfrac{1}{3}h}[/tex]

[tex]\mathbf{V = a \times \dfrac{h}{3}}[/tex]

Given that:

[tex]\mathbf{10.5 = 9 \times \dfrac{h}{3}}[/tex]

[tex]\mathbf{10.5 =3\times h}[/tex]

[tex]\mathbf{h = \dfrac{10.5}{3}}[/tex]

h = 3.5 in

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Answer:

3.5 or third option

Step-by-step explanation:

I got it right on edge

Answer:

x² + y² = 9

Explanation:

circle formula: (x -h)² + (y - k)² = r²

where (h, k) is the center, r is radius

Here given for center: (0, 0)

Identify

Equation of circle:

Answer:

in 720 Possibles ways Ten runners can be arranged  as first, second, and third placers

Answer: C. 20 inches

Step-by-step explanation:

perimeter= 2 x (4+6)=20 inches

The conversion of [tex]\dfrac{7\pi}{4}[/tex] in degrees will be equal to 315°

Radian is a unit of angle, equal to an angle at the centre of a circle whose arc is equal in length to the radius.

Here the given angle in radian is [tex]\dfrac{7\pi}{4}[/tex]

Angle in degrees is converted by multiplying it with [tex]\dfrac{180}{\pi}[/tex].

So the angle in degrees will be:-

[tex]=\dfrac{7\pi}{4}\times \dfrac{180}{\pi}[/tex]

[tex]=\dfrac{7\times 180}{4}[/tex]

Angle=315°

Therefore the conversion of [tex]\dfrac{7\pi}{4}[/tex] in degrees will be equal to 315°

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Answer: 10 teams is the answers

Keep the first fraction the same

Change the division symbol into a multiplication symbol

Swap the numerator and the denominator of the second fraction

Example:

[tex]\frac{1}{2} \div \frac{1}{4}[/tex] will turn into [tex]\frac{1}{2} \times \frac{4}{1}[/tex] giving you an answer of [tex]\frac{4}{2}[/tex] which is 2

- Kan Academy Advance

Answer: 0.25 radians

Step-by-step explanation:

Answer:

47) A
48) C

Step-by-step explanation:

Mode 13 and 17 : most appeared

Mode 1 : most appeared
Calculate the average : 8.6 ~ 9

Answer:

Add 7 cubes to the big square and 1 cube to the three square strip on the bottom of the big square in Step 3

Sorry if the answer is unclear, I tried my hardest to explain it properly. Please tell me if it's right, and if it is, I would appreciate a Brainliest.

(I added an image of what the answer might be)

The pattern

For top

For beneath

Look

for 1 there is 1

for 2 there is 2²=4

for 3 there is 3²=9

So for 4

Answer:

1- 4.5

2- 7/2 (3.5)

3- 8

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Since it's given that these are similar triangles then the measure of angles are equal

2y - 40 = y + 10 transfer like terms to the same side of equation

2y - y = 10 + 40 do the calculation (notice how the terms changes sign from + to - and from - to + when they are transferred)

y = 50