If Mrs.davis serves each guest 1/6 of a pie what is the greatest number of guests she can serve

Answer:

p²=h²-b²

p² =10²-6²

p² =100-36

p²=64

p=( √8)²

p=8

Let [tex]x[/tex] and [tex]y[/tex] be the length and height, respectively, of the rectangle.

Let the bottom left vertex be the origin (0, 0), and position the triangle so that the bottom leg lies on the horizontal axis in the [tex]x,y[/tex]-plane. The hypotenuse of the triangle then lies on the line through (0, 0) and (6, 8), with slope 8/6 = 4/3. Then for some [tex]x[/tex] between 0 and 6, we have [tex]y = \frac43x[/tex].

This means for some fixed distance [tex]x[/tex] from the origin, the rectangle has length [tex]6-x[/tex] and height [tex]\frac43x[/tex]. Thus the area of the rectangle can be expressed completely in terms of [tex]x[/tex] as

[tex]A(x) = (6-x) \times \dfrac43x = 8x - \dfrac43 x^2[/tex]

Non-calculus method:

Complete the square to get

[tex]8x - \dfrac43 x^2 = -\dfrac43 (-6x + x^2) = 12 - \dfrac43 (9 - 6x + x^2) = 12 - \dfrac43 (x-3)^2[/tex]

which is maximized when the quadratic term vanishes at [tex]x=3[/tex], giving a maximum volume of [tex]\boxed{12\,\mathrm{in}^2}[/tex].

Calculus method:

Differentiate [tex]A(x)[/tex] and find the critical points.

[tex]A'(x) = 8 - \dfrac83 x = 0 \implies x = 3[/tex]

Differentiate again to check the sign of the second derivative at the critical point.

[tex]A''(x) = -\dfrac83 \implies A''(3) = -\dfrac83 < 0[/tex]

which indicates a local maximum at [tex]x=3[/tex]. Hence the maximum area is [tex]A(3) = 12[/tex], as before.

Answer:

7kg  275g

Step-by-step explanation:

hope this helps

Answer:

7kg 275g

Step-by-step explanation:

Add all of them together and then add what's left. Hope this helps! :)

Answer:

4.2 or 21/5

Step-by-step explanation:

i used demos

Answer:

4 1/5

[tex]\frac{14 * 9}{3 * 10} = \frac{126}{30}~which~is~also~4\frac{1}{5}[/tex]

Answer:

correct answer here

Step-by-step explanation:

Answer:

2.5, which would be 2:30 hours

Step-by-step explanation:

time/distance:

22.5/9 = 2.5

9 x 2.5 = 22.5

so the answer is 2.5

Answer:

2.5 hours

Step-by-step explanation:

[tex]\sf time \ taken = \dfrac{distance}{speed}[/tex]

Here:

[tex]\hookrightarrow \sf \dfrac{22.5}{9}[/tex]

[tex]\hookrightarrow \sf 2.5[/tex]

Answer:

a.15 feet

Step-by-step explanation:

150 divided by 20 is 7.5

7.5 times 2 is 15

Answer: around 6 or 5 o clock

Step-by-step explanation: hope this helps

Answer:

y = -3x +15

Step-by-step explanation:

(2,9) (4,3)

slope is -6/2 or -3

use slope intercept form to solve for y-intercept

y = mx + b

9 = (-3)(2) + b

9 = -6 + b

15 = b

y = -3x + 15

Answer:

[tex]s=32\\t=64[/tex]

Zack sold 32 bags of popcorn last Saturday, and 64 bags of popcorn today.

Step-by-step explanation:

Start by determining what information the question gives us, and what we need to find.

Given:

Zack sold twice as many bags of popcorn as he sold last Saturday

He sold 96 bags altogether in the 2 days

Find:

s, number of bags he sold last Saturday

t, number of bags he sold today

Equation/System of Equations:

[tex]t=2s[/tex] (OR "number of bags he sold today = number of bags he sold last Saturday multiplied by 2, or twice the amount he sold last Saturday)

[tex]t+s=96[/tex] (OR "number of bags he sold today + number of bags he sold last Saturday is equivalent to the amount of bag he sold altogether which is 96 bags as given by the question)

Solve:

We can solve this system of equations using substitution. In this case, we can substitute "2s" for "t" into the second equation giving us...

[tex]2s+s=96\\3s=96[/tex]

Divide both sides by 3. Notice that the Division Property of Equality states that if you divide on side of the equation by something, you must divide the other side by the same quantity.

[tex]s=\frac{96}{3}\\s=32[/tex]

Substitute 32 in for "s" to solve for "t"...

[tex]t=2s\\t=2(32)\\t=64[/tex]

Answer:

Zack sold 32 bags of popcorn last Saturday, and 64 bags of popcorn today.

Answer:

First one is 10x + 5 = 35

Second one is 5x + 10 = 35

Third one is 35x + 5 = 10

Answer:

$69.60

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

If the bases are the same in a multiplication problem, then you can simply add the exponents. (i.e., a² × a⁶ = a²⁺⁶ = a⁸)

[tex]\bullet \rightarrow 5^4\times5^7[/tex]

[tex]\bullet\rightarrow 5^{4 + 7}[/tex]

[tex]\bullet \rightarrow \boxed{5^{11}}[/tex]

Answer: D

Step-by-step explanation:

5^4 x 5^7

You will add the exponent 4 + 7 = 11

You will keep your base 5^11

Answer:

|PR|

Step-by-step explanation:

The smallest side is the side that sees the angle with the smallest measure:

If we were to draw a triangle with the given information we can see that the side length with the smallest value is the one that sees angle Q, |PR|

Answer:

East

Step-by-step explanation:

Arkansas is East of Oklahoma.

Refer to the image below:

Answer: East

Step-by-step explanation:

Answer:

g(40 or more)

Step-by-step explanation:

30 represents the median or the 50% mark so it cant be this

60 represents the highest amount of minutes. so this is unlikly

40  represents the hqr or the median between 30 and the max. this means that you now have 50% of 50% or 25%

Answer:

the answer is 4,750

Step-by-step explanation:

just multiply 950x5

#3

Did solve that in one of your question

#4

Total spent

Answer:

there are 36 part time employees and there are 144 full time employees

Step-by-step explanation: multiply 45 by 4

then multiply 180 by 0.2 to get 36 and 180 by 0.8 and get 144

Answer:

It's cubic because volume occupies a three dimensional space. Area is measured in a second unit of length

Step-by-step explanation:

Answer:

Volume is 3 dimensions

Step-by-step explanation:

Cubed is 3 dimensions: length, width, and height - like measuring how much water will fit in a cup. Squared is only 2 dimensions - like when you measure a piece of paper or a floor tile or a piece of fabric.

Answer:

4√10

Step-by-step explanation:

Hello!

Let's first simplify the radical.

We can do this by expanding the radical:

We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.

Let's work with √45:

Now we can simplify the operation in the parenthesis by combining like terms:

Now using the same rule as above, we can multiply the values:

Your solution is 4√10

Answer:

4x-11=73,

x=21

Step-by-step explanation:

11 subtracted from means -11

four times a number means 4(x) because x is the number

is = equals

so

4x-11=73

+11      +11

4x=84

/4    /4

x=4

Solution :-

Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.

And we know that vertically opposite angles measure same. Thus,

∠2 = 135°

Hope that helps ~~~

Answer:

12

Step-by-step explanation:

Answer:

its 60, need proof?

Step-by-step explanation:

Answer: 60

Step-by-step explanation: I took the test and got it right. Goodluck with the rest!

Answer:

4

Step-by-step explanation:

3x = 5:

x = 1 ⅔

5x + 7 = 3

5x = 3- 7

5x = -4

x = -⅘

4x = 9x

9x - 4x = 0

5x = 0

x = 0 / 5

x = 0

x = x - 2:

x -x = -2

0 = -2?

Answer:

4

Step-by-step explanation:

Its because x=x-2 =-2 subtract x from both sides and you get 0 so theres no solution and you get -2

Answer:

The area of the roof: ≈2287.44 ft^2, the lateral area of the roof:≈1580.58 ft^2

Step-by-step explanation:

The area of the roof is computed by the equation of the area of a cone:
A = πr(r + [tex]\sqrt{h^{2}+r^(2) }[/tex])
(r: radius, h: height, πr^2 is the area of the base of the cone, πr[tex]\sqrt{h^{2}+r^(2) }[/tex] is the lateral area of the cone). So:

A = [tex]15\pi (15 + \sqrt{30^{2} +15^{2} } )[/tex] ≈ 2287.44 ft^2.

As I stated earlier, the lateral area of the roof can be computed:

A[tex]L[/tex]=[tex]15\pi \sqrt{30^{2} +15^{2} }[/tex] ≈ 1580.58 ft^2.

Try this option, all the details are in the attachment. Note the equation a) is performed with green, the equation b) with red line.

With break green line is the cureve y= -x²; with break red line is y=2x².

[tex]\text{Let it be x percent}\\ \\\dfrac 14 \times x\% = \dfrac 15\\\\\\\implies\dfrac 14 \times \dfrac x{100} = \dfrac 15\\ \\\\\implies x = \dfrac{400}{5} = 80\\\\\\\text{Hence the answer is}~ 80\%[/tex]

Answer:

Deigo is 18years of age

explaination

[tex]5 \times d = 90 \\ 5 d = 90 \\ 5d \div 5 = 90 \div 5 \\ d = 18[/tex]

this is how to solve it.