magggie wants to pack 20 cokkies equally in boxes each box holds 5 cookies how many boxes does she need

Answer:

See Below.

Step-by-step explanation:

The first three terms of an A.P is equivalent to the first three terms of a G.P.

We want to show that this is only possible if r = 1 and d = 0.

If a is the initial term and d is the common difference, the A.P. will be:

[tex]a, a+d, \text{ and } a+2d[/tex]

Likewise, for the G.P., if a is the initial term (and it does not equal 0) and r is the common ratio, then our sequence is:

[tex]a, ar,\text{ and } ar^2[/tex]

The second and third terms must be equivalent. Thus:

[tex]a+d=ar\text{ and } a+2d=ar^2[/tex]

We can cancel the d. Multiply the first equation by -2:

[tex]-2a-2d=-2ar[/tex]

We can now add this to the second equation:

[tex](a+2d)+(-2a-2d)=(ar^2)+(-2ar)[/tex]

Simplify:

[tex]-a=ar^2-2ar[/tex]

Now, we can divide both sides by a (we can do this since a is not 0):

[tex]-1=r^2-2r[/tex]

So:

[tex]r^2-2r+1=0[/tex]

Factor:

[tex](r-1)^2=0[/tex]

Thus:

[tex]r=1[/tex]

The first equation tells us that:

[tex]a+d=ar[/tex]

Therefore:

[tex]a+d=a(1)\Rightarrow a+d=a[/tex]

Hence:

[tex]d=0[/tex]

Q.E.D.

Answer:

a. 80 units

b. 482.843 units²

Step-by-step explanation:

First things first, we need to solve for the side of the octagon. We can do so by using Pythagorean Theorem: a² + b² = c² where c is the hypotenuse and a and b are the other two sides.

12² + b² = 13²

144 + b² = 169

b² = 25

b = 5

Now that we know half of the side of the octagon is 5, we know that one side of the octagon is 10.

a. To find perimeter we just add every side together (or since every side is the same size, we multiply by 8)

10 × 8 = 80

b. The formula for finding the area of an octagon is 2(1 + radical 2)a² where a is the length of a side. By plugging in to a calculator we get:

2(1 + radical 2)(10)² = 482.843

Answer:

it is the best deal cause i said

Step-by-step explanation:

Answer:

It will take 4 minutes for 20 gals, 15 for the whole thing.

Step-by-step explanation:

Answer:

4 minutes to lose 20 gallons, and 15 minutes to empty the tank.

Step-by-step explanation:

20 divided by 5, and 75 divided by 5

Answer:

C

Step-by-step explanation:

Hey There!

The first step of this equation is to find the formula for area of a circle

[tex]A=\pi r^2[/tex]

r = radius

now we just plug in the 36

[tex]36^2=1296\\1296x3.16=4069.44[/tex]

so we can conclude that the answer is C

Answer:

Step-by-step explanation:

lets replace x with 2

2(2^2)+3(2)=2*4+6=8+6=14

Answer:

You add up all numbers then divide it by how many numbers.

Step-by-step explanation:

Example. You have 1, 2, 3, 4, 5.

So 1+2+3+4+5

=15

Then 15÷5

So answer would be 3.

Hope this helps.

Answer:

y intercept=3/2

Step-by-step explanation:

First of all, write it in slope intercept form

y=-1/6x+3/2

y=mx+b

b=y-intercept

y intercept=3/2

x+6y=9

y=0

x+6(0)=9

x=9

Answer:

11 stars

Step-by-step explanation:

From the first statement, we have:

[tex]Carrie = 5 + Zane[/tex]

From the second, we have:

[tex]Zane = 6 + Hugo[/tex]

To get the number of start Carrie has than Hugo:

Substitute 6 + Hugo for Zane in [tex]Carrie = 5 + Zane[/tex]

[tex]Carrie = 5 + 6 + Zane[/tex]

[tex]Carrie = 11 + Zane[/tex]

This means that Carrie has 11 more than Zane

Answer:

[tex]10^{-4}[/tex] times 10 micrometers (or [tex]10^{-5}[/tex]) is [tex]10^{-9}[/tex]

Answer:

It's as long as the centimeter

Step-by-step explanation:

doing 0.000001x10,000 gives you .01

If I'm wrong flame me

Answer:

10.6 cones

Step-by-step explanation:

Given data

h= 4cm

d= 1.5cm

r= d/2= 0.75cm

The expression for the volume of a cone is

V= 1/3πr^2h

substitute

V= 1/3*3.142*(0.75)^2*4

V=  1/3*3.142*2.25

V=1/3*7.0695

V= 2.3565cm^3

Since the volume of 1 cone is 2.4cm^3

She can fill

=25/2.3565

=10.6 cones

About 10.6 cones

Answer: 21 cm is the volume

Step-by-step explanation: multiply 7cm x3 cm

Answer:

344 m^2

Step-by-step explanation:

Area of the 2 triangles: (2)(1/2)(10)(5)=50

Area of three sides:3(7)(14)=294

294+50=344

Answer:

246

Step-by-step explanation:

Answer:

rhombus sides are equal.

7y=4y+21

7y-4y=21

3y=21

y=21/3

y=7

3x=45°(by alternate interior angle)

x=45/3

x=15

y

Answer:

60%

Step-by-step explanation:

I HOPE THIS HELPS YOU OUT WITH YOUR QUESTION! PLZ LET ME KNOW IF IT DID! IT MAKES ME FEEL GOOD THAT SOMEONE APPRECIATES IT! ANYWAY, IF YOU HAVE A FEW MINUTES PLZ GOT TO MY PROFILE AND THANK MY ANSWERS (THE MORE THE MERRIER)

Step-by-step explanation:

[tex] - {3}^{2} m {n}^{5} m {n}^{2} {m}^{6} = \\ = - 9 {m}^{8} {n}^{7} [/tex]

Answer:

Step-by-step explanation:

l = length

b = breadth

We know the length is twice the breadth, therefore l = 2b

We also know that the perimeter p = 60m and can also be expressed as a sum of its sides where p = l + l + b + b = 60 which simplified is:

60 = 2l + 2b

Now we have 2 variables, but thankfully we were given a ratio (l = 2b) relating the two. Substituting 2b in for l gives us:

60 = 2(2b) + 2b = 4b + 2b = 6b

60 = 6b

b = 10 m

Now that we know the breadth we can find the length:

l = 2b → l = 2(10) = 20 → l = 20 m

With a breadth of 10 m and a length of 20 m

Answer:

Ellie gets 18 bananas. your welcome

Answer:

18

Step-by-step explanation:

The 4 part of the ratio refers to Lily's 24 bananas

Divide 24 by 4 to find the value of one part of the ratio

24 ÷ 4 = 6 ← value of 1 part of the ratio, then

3 parts = 3 × 6 = 18

Ellie gets 18 bananas

Answer:

Triangle  PRT is similar to triangle SRQ

Step-by-step explanation:

AA similarity Postulate :If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

one  angle is already given   : angle    RPT congruent to  angle   RSQ

The other is   :   angle    TRP congruent to  angle  SRQ (both triangles share the  same angle)

Triangle PRT is similar to triangle SRQ  (AA postulate)

Answer:

1/12 per bag

Step-by-step explanation:

A Fisherman spent his weekend working on his farmland

He had 1/6 of a bag of soil

He spreads it evenly among his 2 garden beds

Therefore the soil in each garden bed can be calculated as follows

= 1/6 ÷ 2

= 1/6 × 1/2

= 1/12 per bag

Answer: -37/38

Step-by-step explanation:

Answer:

square

Step-by-step explanation:

why is this labeled high school this is so simple

Answer:

ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

Step-by-step explanation:

Answer:

Evergreen Eagle can will fly 1.56 km in 20 minutes.

Step-by-step explanation:

Speed of Evergreen Eagle = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]

                                            = [tex]\frac{13}{1}[/tex]

                                            = 13 meters per second

With this speed Eagle can fly the distance in 20 minutes Or 120 seconds

= Speed × Time

= 13 × 120

= 1560 meters

Since, 1000 meters = 1 Km

1 meter = [tex]\frac{1}{1000}[/tex] km

Therefore, 1560 meters = [tex]\frac{1560}{1000}[/tex]

                                       = 1.56 km

Therefore, Evergreen Eagle can will fly 1.56 km in 20 minutes.

Answer:

320 x 0.08 = X

In the case, a payment equal to or greater than $ 25.60 would be considered acceptable by the company.

Step-by-step explanation:

Given that a major credit card company requires monthly payments equal to or greater than 8% of the total balance, and a consumer has a credit card balance of $ 320, the following calculations must be performed to determine an inequality that represents acceptable payment amounts:

320 x 0.08 = X

25.6 = X

Thus, in the case, a payment equal to or greater than $ 25.60 would be considered acceptable by the company.

Answer:

[tex]c. \: 5x - 2y = 10 \\ \: \: \: \: \: 10x - 4y = 20 \\ [/tex]

Answer: f(x)=5cos(x+pi/3)+4

Step-by-step explanation: I just tool the quiz