Solve question 11 for me please

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Work Shown:

(160 with blue eyes)/(500 total) = (x with blue eyes)/(2500 total)

160/500 = x/2500

x = 2500*(160/500)

x = 800

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Another approach:

160/500 = 0.32 = 32% of the first group has blue eyes

Assuming this percentage is the same for any group, then,

32% of 2500 = 0.32*2500 = 800 people of the second group are estimated to have blue eyes, of the 2500 total.

Explanation:

[tex]\boxed{\sf \sum _{n=1}^{32}\left(2n+8\right)}[/tex]

Formula Required:

[tex]\sf sum \ of \ arithmetic \ series = \dfrac{n}{2} (2a \ + \ (n-1) \ d)[/tex]

Identify the following's:

Insert variables:

[tex]\rightarrow \ \sf S_{32} = \dfrac{32}{2} (2(10) + (32-1) 2) \quad \xrightarrow{\text{Simplify} } \quad 1312[/tex]

The volume of the slice is 40 in³. The volume of the remaining cake would be 197.014 in³.

A regular hexagon can be defined as a closed shape consisting of six equal sides and six equal angles.

Here we have two regular hexagons

one top small hexagon cake with a side of length = 3 in, height = 3 in

One big hexagon cake, side of length = 4 in, Height = 4 in

A slice cut such that it removes a side segment is equivalent to an equilateral triangle with a side

length = length of hexagon side

The length of the side of the removed equilateral triangle side

Top small cake slice triangle side = 3 in.

Area of surface of small slice = 1/2 x b x h = 1/2 x 3 x 3 x sin 60

                                                = 9√3/ 4

The volume of a small slice  

=  Area of surface small slice × Height of small cake

= 9√3/ 4  x 3

= 11. 69

Big cake slice triangle side = 4 in.

Area of the surface of big slice = 1/2 x 4 x 4 x sin 60

                                                    = 4√3

The volume of big slice =  Area of the surface of big slice × Height of big slice

= 16√3

= 28

The total volume of slice = Volume of small slice + Volume of big slice

Total volume of slice = 12 in³ +28 in³ = 40 in³

For the small cake,

the remaining volume = 5 x 11.69 = 58.45

For the big cake

the remaining volume = 5 x 27.71 = 138.56

Total volume remaining cake

= 58.45 in³ + 138.56 in³ = 197.014 in³

a = Length of side

h = Height of hexagon

The volume of each slice is,

= a^2 x h x √3/4

For the small cake, we have

a = 3 in.

h = 3 in.

The volume of small slice = a^2 x h x √3/4

                                   = 9 x 3 x √3/4

                                   = 27√3/4

For the big cake, we have

a = 4 in.

h = 4 in.

Volume of big slice =  a^2 x h x √3/4

                                = 16 √3

The total volume of slice = Volume of small slice + Volume of a big slice

Total volume of slice = 27√3/4 + 16 √3

The total volume of the slice = 39404 in³.

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Step-by-step explanation:

y=1x-(-6)

y=-7x-2

follow and label y and x inside the equation

make sure you draw a graph to help you find the intercept form.

Answer:

30 ounces (1 pound 14 ounces)

Please give brainliest!

Hope this helps:)

To find this, we first need to convert 6 lbs into ounces

lb = 16 ounce

6 lbs = 96 ounces!

96-66 = 30

Kevin bought 30 more ounces, or 1 pound and 14 ounces more jelly beans than antonio.

Answer:

24,800m or 24.8km or 24km 800m

Step-by-step explanation:

Perimeter of Rectangle (Given) = 800m or (800/1000)km = 0.8km

Total Distance covered by esi = Perimeter of Rectangle x Number of round ran

= 800m or 0.8km x 31

= 24,800m or 24.8km or 24km 800m

Not sure how you want the answer in so I came up with all possible answers.

Answer:

24.8km

24800m

Step-by-step explanation:

800 x 31 = 24800

24800m

to convert 24800m into km, we divide 24800 by 1000

24800/1000 = 24.8

24.8 km

hope this helps:)

Answer:

727

Step-by-step explanation:

6^3-106^2=216+360=576+168=744-17=727

Answer:

x=6

Step-by-step explanation:

[tex]2x - 8 = 4 \\ 2x = 4 + 8 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6[/tex]

60/4= 15

15 x 3 =45 minutes

Yes

Step-by-step explanation:

its a direct-variation function

Answer:

(a) y = 25°

(b) x = 90°

(c) z = 25°

Step by step explanation:

Part A

z + 90° + 65° = 180°

z = 180° - 65° - 90°

z = 25°

Part B

x + 90° = 180°

x = 90°

Part C

x + 65° + y = 180°

90° + 65° + y = 180°

y = 25°

A straight line has total 180° angle. A square has 4 sides of each 90° angle. A triangle is build up of 180° interior angle.

A slope is also known as the gradient of a line. The slope of line P is 3/4.

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

As it is known that for two perpendicular lines the slope of the lines will be negative reciprocal of each other. The slope of line 4x+3y=12 can be written as,

y = 4 - (4/3)x

m₁ = -1/m₂

-(4/3) = -1/m₂

m₂ = 3/4

Hence, the slope of line P is 3/4.

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Answer:

h = 11 units

Step-by-step explanation:

Volume of a Rectangular Pyramid = lwh/3

220 = 6*10*h/3

(220) * (3) =  ((6)*(10)*(h) / 3) * 3

660 = (6) (10) (h)

Simplify both sides of the equation.

660 = 60h

h = 11 units

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=12\\ h=9 \end{cases}\implies V=\pi (12)^2(9)\implies V=1296\pi ~m^3[/tex]

Answer (Step-by-step explanation):

so X is horizontal and Y is vertical.  (X,Y) because X comes first and Y comes last and all you need to do is make sure your points are correct and that the best of my ability, you can also try drawing lines to each pin point and you can estimate these (X,Y) because X=? and Y=? so good luck i hope that helps! (:

Answer:

[tex]972\pi~ \text{in}^3[/tex]

Step-by-step explanation:

[tex]\text{Volume of sphere} = \dfrac 43 \pi r^3 \\\\\\~~~~~~~~~~~~~~~~~~~~~~~~=\dfrac 43 \pi \left( \dfrac d{2} \right)^3\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~=\dfrac 43 \pi \cdot \left(\dfrac{18}{2}\right)^3\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~=\dfrac{4\pi}3 \cdot 9^3 \\\\\\~~~~~~~~~~~~~~~~~~~~~~~~=972\pi~ \text{in}^3[/tex]

(-5)²

= (-5)×(-5)

= 25

-> E

Answer:

E. 25

Step-by-step explanation:

A negative times a negative equals a positive. And a squared number is the number inside the parentheses time that number.

Example:

-5×-5=25

Parallel lines have equal slope so

Lets check

Now

Lines are parallel

Answer:

The two lines are parallel

Step-by-step explanation:

If two lines are parallel, they have the same slope.

If two lines are perpendicular, the slopes will be negative reciprocals (the product of the slopes will be -1).

Given slopes:

[tex]\sf m_1=\dfrac{3}{4}[/tex]

[tex]\sf m_2=\dfrac{12}{16}[/tex]

Reduce m₂ to its simplest form by dividing the numerator and denominator by the largest common factor:

[tex]\sf m_2=\dfrac{12 \div 4}{16\div 4}=\dfrac{3}{4}[/tex]

Therefore,

[tex]\sf as \quad \dfrac{3}{4}=\dfrac{3}{4} \implies m_1=m_2 \quad[/tex]

As the given slopes are the same, the two lines are parallel.

Answer:

The total area of the two triangles is 100 square inches.

Step-by-step explanation:

Solution:

Area of one triangle:

Height = 10 inches

Base = 8 inches

Area of triangle =

                         = 40 square inches

Area of another triangle:

Height = 10 inches

Base = 12 inches

Area of triangle =

                         = 60 square inches

Total area of the two triangles = 40 square inches + 60 square inches

                                                 = 100 square inches

The total area of the two triangles is 100 square inches.

hope that helped:)

Given :-

To Find :-

Solution :-

Firstly lets calculate radius of cylinder by using formula of volume of cylinder, as we know that;

Putting all values we get;

➸ 245π = π × r² × 5

By cutting 'π' with 'π' we get;

➸ 245 = r² × 5

➸ 245/5 = r²

➸ 49 = r²

➸ √(49) = r²

➸ √(7 × 7) = r²

➸ 7 = r

➸ r = 7 units

Now lets calculate its diameter, as we know that;

Putting all values we get;

➸ Diameter = 7 × 2

➸ Diameter = 14 units

We will see that, when evaluated in x = 0, g(x) is larger than f(x).

First, we can see that:

g(x) = x + 3

Then, evaluating it in x = 0 we get:

g(0) = 0 + 3 = 3

Now, if we go to the table that represents f(x), we can see that it has the point (0, -6).

Then we can get:

f(0) = -6

With that, we can conclude that: g(0) > f(0), so the correct option is the first one.

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Scientific Notation is EASY.

Just move the decimal to the right if it is positive:

6.2 x 10¹ = 62

6.2 x 10² = 620

6.2 x 10³ = 6,200

6.2 x 10⁴ = 62,000

6.2 x 10⁵ = 620,000

6.2 x 10⁶ = 6,200,000

Move the decimal to the left if it is negative:

6.2 x 10⁻¹ .62

6.2 x 10⁻² = .062

6.2 x 10⁻³ = .0062

6.2 x 10⁻⁴ = .00062

6.2 x 10⁻⁵ = .000062

6.2 x 10⁻⁶ = .0000062

What about about 6.2 x 10⁰?

6.2 It wouldn't change location.

I hope this helps!

Answer: Heyaa! ~

Your Answer is... -32

Step-by-step explanation:

Hopefully this helps you! ^

Answer:

13,254

hope this helps :)

please crown me brainliest!

Answer:

B. 2376 Square feet

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Answer:

9/20 or forty five percent (45%)

The correct answer is option B which is the actual product is about StartFraction 1 over 18 EndFraction less than the estimate.

The fraction is defined as the division of the whole part into an equal number of parts. here we have the following information Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction.

E =  [tex]\dfrac{5}{8}\times \dfrac{8}{9}[/tex] = 0.55

Thus the product of the fraction estimated in the nearest half is,

0.5×1= 0.50

Therefore the correct answer is option B which is the actual product is about StartFraction 1 over 18 EndFraction less than the estimate.

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Answer: B

Step-by-step explanation: took test/quiz