A petting zoo has 7 lambs, 12 rabbits, 6 goats, and 3 piglets. Find the
ratio of rabbits to the total number of animals. Write the ratio in
simplest form.

Answer:

Step-by-step explanation:

Simplifying

3(2x + -1) = 21

Reorder the terms:

3(-1 + 2x) = 21

(-1 * 3 + 2x * 3) = 21

(-3 + 6x) = 21

Solving

-3 + 6x = 21

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + 6x = 21 + 3

Combine like terms: -3 + 3 = 0

0 + 6x = 21 + 3

6x = 21 + 3

Combine like terms: 21 + 3 = 24

6x = 24

Divide each side by '6'.

x = 4

Simplifying

x = 4

Answer:

2/3x + 7s

Step-by-step explanation:

-1/3 ( -2x - 21) = -1/3 * (-2x) - (-1/3) * 21 = 2/3x - (-7) = 2/3x + 7s

Answer:

Total copies sold= 486,585

Step-by-step explanation:

Giving the following information:

Number of copies sold in the first month= 39,900

% of copies sold in the first month= 8.2%

To calculate the total number of copies sold, we need to use the following formula:

Total copies sold= Number of copies sold in the first month/% of copies sold in the first month

Total copies sold= 39,900 / 0.082

Total copies sold= 486,585

Answer:

Identifying and moving the base is the key to changing from logarithmic form into exponential form. Identifying the base of the logarithmic equation and moving the base to the other side of the equal sign is how to change a logarithmic equation into and exponential equation.

Example- log 8 base 2=3

then 2^3=8

The opposite of a logarithmic function is an exponential equation, and vice versa

As a general rule, we have the following equation to convert a log function to an exponential.

[tex]\log_ba = x \to a = b^x[/tex]

Take for instance, we have the following logarithmic function

[tex]\log_216 = x[/tex]

The equivalent exponential equation is:

[tex]16 = 2^x[/tex]

Read more about logarithmic functions at:

https://brainly.com/question/13473114

Answer:

true

Step-by-step explanation:

Answer:

30-70 degrees F Actually read my response because it explains

Step-by-step explanation:

Well if the outside air is 30 degrees F and the rated temp. for the sleeping bag is 30 then the temp. for the sleeping bag has to be anywhere from 30 and up. Probably like 30 through 70. I didnt really know what the question was because you didn't really make it clear but I tried my best. :)

Hope this helps!!!!!

Pls mark brainliest

Answer:

Mr. Lucas mowed more, 8/20 he mowed. His son mowed 5/20. They need 7/20 more to be mowed 20/20 - 13/20 = 7/20

Answer:

Henry's chances of getting a second turn when he rolls a number cube is 7/18

Answer:

666666666666666666666666

Answer:8(x+15)

Step-by-step explanation:

Answer:

[tex]Perimeter = 4x+16[/tex]

Step-by-step explanation:

Given

[tex]Rug=x[/tex]

Required

Determine the perimeter of the room

The room is 3ft wider.

So:

[tex]Width = Rug + 3[/tex]

[tex]Width = x + 3[/tex]

The room is 5ft longer,

So:

[tex]Length = Rug + 5[/tex]

[tex]Length = x + 5[/tex]

The perimeter is:

[tex]Perimeter = 2 * (Length + Width)[/tex]

[tex]Perimeter = 2 * (x+5+x+3)[/tex]

Collect Like Terms

[tex]Perimeter = 2 * (x+x+5+3)[/tex]

[tex]Perimeter = 2 * (2x+8)[/tex]

[tex]Perimeter = 4x+16[/tex]

Answer: 0.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

C 73

Bcs straight line is 180ns9 the angle should be 34.

So you equate 34=-39+x and u get x as 73

Answer:

C) 73

Step-by-step explanation:

180-146=34

-39+x=34

x=73

Answer:

[tex]2\frac{7}{24x} + 5\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]2 \frac{1}{8x}+ \frac{3}{4x} + \frac{1}{6} - \frac{7}{12x} + 5\frac{2}{3}[/tex]

find a common denominator for the x values: GCD = 24

so multiply each fraction with an x to get the common denominator

[tex]2 [(\frac{3}{3} )(\frac{1}{8x})] + [(\frac{6}{6})(\frac{3}{4x})] + \frac{1}{6} - [(\frac{2}{2})(\frac{7}{12x})] + 5\frac{2}{3}[/tex]

then multiply it out

[tex]2\frac{3}{24x} + \frac{18}{24x} + \frac{1}{6} - \frac{14}{24x} + 5\frac{2}{3}[/tex]

then, find the GCD for the fractions without x: GCD = 3

[tex]2\frac{3}{24x} + \frac{18}{24x} + \frac{1}{6} - \frac{14}{24x} + 5[(\frac{2}{2})( \frac{2}{3})][/tex]

then multiply it out

[tex]2\frac{3}{24x} + \frac{18}{24x} + \frac{1}{6} - \frac{14}{24x} + 5\frac{4}{6}[/tex]

finally, combine like terms:

[tex]2\frac{7}{24x} + 5\frac{5}{6}[/tex]

Answer:

B s=32t

pls mark me brainliest

Answer:

h = (3 - x)/2

Your answer is not correct.

Step-by-step explanation:

⅓(x + 2h) + 1 = 2

Subtract 1 from both sides;

⅓(x + 2h) + 1 - 1 = 2 - 1

This gives;

⅓(x + 2h) = 1

Multiply both sides by 3;

⅓(x + 2h) × 3 = 1 × 3

This gives;

x + 2h = 3

Subtract x from both sides to get;

2h = 3 - x

Divide both sides by 2 to get;

h = (3 - x)/2

Answer: AB = 6

Step-by-step explanation:

If CD = 12 , AC also = 12

B is the midpoint of AC so one side = 6

AB is one side of AC , so AB = 6

I am not a professional, I am simply using prior knowledge!

Note- It would mean the world to me if you would mark me brainliest!

The Distance between AB will be 12 units

The steps are as follow:

AC = 2 x CD = 2 x 12 = 24 units

AB = AC/2

AB = 24/2 = 12 units

So Distance between points AB will be 12 units

Learn more about multiplications and division here:

https://brainly.com/question/251701

#SPJ2

Step-by-step explanation:

Move all terms that do not contain nn from the middle section of the inequality.

−5 <n≤2 - 5 <n≤2

Answer:

- 4, - 3, - 2, - 1, 0, 1, 2

Step-by-step explanation:

Given

- 15 < 3n ≤ 6 ( divide the 3 intervals by 3

- 5 < n ≤ 2

Thus n can have values from - 4 to 2, that is

- 4, - 3, - 2, - 1, 0, 1, 2

Answer:

i cant graph on here but on the graph move up 1 and right 1 for every dot and start at point (0,3)

Step-by-step explanation:

Answer: See below

Step-by-step explanation:

To find k, divide both sides by 8:

k = 40/8

k = 5

Answer:

k=5

Step-by-step explanation:

8k=40

k=40÷8

k=5

therefore k is equal to 5

Answer:

80*3.14

Step-by-step explanation:

let diameter d=80cm

circumference c = d*pi = d*3.14 = 80*3.14

Answer:

4 a + 2b = 360 ----->equation 1

a + b = 116 --------> equation 2

a = 64 °

b = 52°

Step-by-step explanation:

The sum of all of the internal angles would be 360°.  Since we have four "a"s and two "b"s, we have:

4a + 2b = 360

Then told that the largest internal angle of the parallelogram is 116 degrees, so:

a + b = 116

We now have a system of two equations and two unknowns.

I'll simplify the first equation by dividing both sides by 2, then multiplying the second equation by -1 to prepare for solving by elimination:

2a + b = 180

-a - b = -116

----------------------  Add the equations together to get:

a = 64°

Now we can solve for b:

a + b = 116

64 + b = 116

b = 52°

So the values of "a" and "b" are:

a = 64° and b = 52°

Hope this helped :)

Answer:

Step-by-step explanation:

2_|   6      -4     7    2

                12    16  46

         6     8     23   48

6a^2 + 8a + 23 + 48/(a - 2)

Answer: 37.5 minutes

Step-by-step explanation:

It takes Jahanna 50 minutes to deliver to 40 customers.

On Sunday however, she has to deliver to only 30 customers.

Assume that the amount of time it will take her is x minutes and use direct proportion:

50 minutes          :       40 customers

x minutes             :       30 customers

Cross multiply:

40x = 50 * 30

40x = 1,500

x = 1,500/40

x = 37.5 minutes

Answer:

First one is correct. The second is 20 hours

Step-by-step explanation:

20 hours

Answer:

a=13 3/4 (13.75)

Step-by-step explanation:

1 2/5a=19 1/4

a=19 1/4÷1 2/5

a=19 1/4÷7/5

a=19 1/4x5/7

a=77/4x5/7

a=385/28

a=13 21/28

a=13 3/4