You have an ant farm with 27 ants. The population of ants in your farm will double every 3 months. The table shows the population growth of the ants over nine months. Decide whether the table represents a linear function or a nonlinear function. After one​ year, how many ants will there be in the ant​ farm?

Answer:

x = 17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

x + 8 = 3(x - 7) - 5

Step 2: Solve for x

Answer:

17

Step-by-step explanation:

X+8=3(x-7)-5

x+8=3x-21-5

x+8=3x-26

8=2x-26

34=2x

Answer:

5

Step-by-step explanation:

Answer:

$0.09/minute

Step-by-step explanation:

$45/8 hours is $5.63 per hour

There is 60 minutes in an hour.

So you do $5.63/60 minutes and it's about $0.09

So it's 9 cents per minute

hope this helps :)

Answer:

11.2

Step-by-step explanation:

The answer is 11.2

11.2*.25=2.8

11.2-2.8=8.4

Answer:

7

Step-by-step explanation:

Answer:74

Step-by-step explanation:

Answer $390

Step-by-step explanation:

Answer:

$390

Step-by-step explanation:

First Roberto works 32 hours at 6.50 per hour. At that time, he earn 32*6.5 = $208. Then he works 8 hours at a time and a half. This means that his pay rate is 50% more, or 6.5*1.5 = $9.75 per hour. Since he worked 8 hours at this pay rate, he earns 8*9.75 = $78. And then he works 8 hours double time. This means his pay rate was doubled during that duration. 6.5*2 = 13, 13*8 = $104.

Total: 208 + 78 + 104 = $390

Answer:

can't be determined

Step-by-step explanation:

we would need to know the total number of bars/chips he brought

Answer:

The answer is A

Step-by-step explanation:

You are adding the time it takes to make a pizza so it isn't B or C

Answer:

98

Step-by-step explanation:

i just finished this practice

Answer:

98 in³

Step-by-step explanation:

I just did the practice with a 100 percent and all answers correct first try :P

Answer:

x=-3, y=0. (-3, 0).

Step-by-step explanation:

2x+6y=-6

4x-3y=-12

---------------

-2(2x+6y)=-2(-6)

4x-3y=-12

---------------------------

-4x-12y=12

4x-3y=-12

----------------

-15y=0

y=0/-15=0

2x+6(0)=-6

2x=-6

x=-6/2

x=-3

Answer:

15

Step-by-step explanation:

a) The height of the real boat is 15 feet and the scale model is 3 inches

b) The scale model is 9 inches , and the real height is H = 45 feet

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

The proportion of scale model of the boat to the real boat is 1 : 5

Now ,

a)

The height of the real boat is 15 feet and the scale model is k inches

From the proportion , we get

1 / 5 = k / 15

Multiply by 15 on both sides , we get

k = 3 inches

b)

The scale model is 9 inches , and the real height is H

From the proportion , we get

5 / 1 = H / 9

Multiply by 9 on both sides , we get

H = 45 feet

Hence , the proportion is solved

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Answer:

$199.68

Step-by-step explanation:

You would have to find 4% of 192.

That is 7.68.

192+7.68=199.68.

Answer:

I THINK it would be 11.

Answer:

Answer is 75.

Step-by-step explanation:

I hope it's helpful!

Answer:

4 dimes, 12 nickels

Step-by-step explanation:

nickels are worth 5 cents,

12x5=60

$1 is worth 100 cents

100-60 is 40

dimes are worth 10 cents

40 / 10 is 4

so 4 dimes

The number of dimes = 8 dimes

The number of nickels = 4 nickels

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of nickels be = x

Let the number of dimes be = y

Now , the total number of coins = 12

So , the equation will be

x + y = 12   be equation (1)

Now , the total value of coins = $ 1

The value of 1 dime = $ 0.10

The value of 1 nickel = $ 0.05

So , the equation will be 0.05x + 0.10y = 1   be equation (2)

Multiply equation (2) by 100 , we get

5x + 10y = 100   be equation (3)

Multiply equation (1) by 5 , we get

5x + 5y = 60   be equation (4)

Subtracting equation (4) from equation (3) , we get

5y = 40

Divide by 5 on both sides of the equation , we get

y = 8

Therefore , the value of y = 8

Substitute the value of y in equation (1) , we get

x + y = 12

x + 8 = 12

Subtracting 8 on both sides of the equation , we get

x = 4

Therefore , the value of x is 4 and value of y is 8

Hence , The number of dimes = 8 dimes

The number of nickels = 4 nickels

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Answer: a

Step-by-step explanation:

Took test

Answer:

Jill lost 1/3

Bill lost 1/6

and Jack lost 1/4

Make a common denominator -  let's use 12

Jill lost 4/12

Bill lost 2/12

Jack lost 3/12

Add them together = 9/12

reduce by dividing by 3.

total of 3/4 spilt

48 divided into 4 parts then multiplied by 3 of those parts

48 / 4 * 3 = 36

Step-by-step explanation:

Answer:

1,2,3,5

Step-by-step explanation:

Answer:

abce

Step-by-step explanation:

Answer:

i do not know but you need to answer you text messages

Step-by-step explanation:

9514 1404 393

Answer:

  D. 12

Step-by-step explanation:

There are a number of ways to find the area of this rectangle. Perhaps the most straightforward is to find the lengths of the sides and multiply those. The distance formula is useful.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Using the two upper-left points, we find the length of that side to be ...

  d = √((3 -0)^2 +(3 -0)^2) = √(9 +9) = √18 = 3√2

Similarly, the length of the lower-left side is ...

  d = √((-2 -0)^2 +(-2 -0)^2) = √(4+4) = √8 = 2√2

Then the area of the rectangle is ...

  A = LW

  A = (3√2)(2√2) = 3·2·(√2)^2 = 3·2·2 = 12

The area of rectangle ABCD is 12.

_____

Other methods include subtracting the area of the corner triangles from the area of the bounding square:

  5^2 -2(1/2)(3·3) -2(1/2)(2·2) = 25 -9 -4 = 12

Answer:

14/2+t/2 so ( 14+t)/2 is the answer

Answer:

She needs 15/2 cups of flour.

Step-by-step explanation:

x+2 1/2=10

2 1/2=5/2

x+5/2=10

x=10-5/2

x=20/2-5/2=15/2

Answer:

Step-by-step explanation:

nth term = 0.6 × 5ⁿ⁻¹

a₆ = 0.6 × 5⁵ = 1875

The sixth term of the sequence is [tex]3,125.6[/tex]

GIven the geometric seqence 0.6, 3, 15, 75, .

The nth term of the sequence is expreessed as [tex]T_n = ar^{n-1}[/tex]

Given the following

a = 0.6

r = 5

n = 6

Get the nth term

[tex]T_n= 0.6(5)^{n-1}[/tex]

For thr sixth term:

[tex]T_6= 0.6(5)^{6-1}\\T_6= 0.6(5)^5\\T_6= 3,125.6[/tex]

Hence the sixth term of the sequence is [tex]3,125.6[/tex]

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1.5(4) = 6

jess used 6 cups of rice

Answer:

x=19

Step-by-step explanation:

20/36=30/(x+5+30)

20(x+35)=30(36)

20x+700=1080

20x=380

x=19

Answer:

C.  [tex]r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

open circle, arrow pointing left

Answer:

0.6316

Step-by-step explanation:

The computation of the probability that 2 people were excited without replacement is shown below:

There is a total of 20 people

out of which 16 are excited and the remaining 4 would be non-excited

Now the probability would be

[tex]= \frac{^{16}C_2}{^{20}C_2}[/tex]

= 0.6316

Answer:

y= -4

Step-by-step explanation: