Given that Gina can chop 2 carrots in a minute, and that Bob can chop 3 carrots in a minute, they will be able to chop 5 carrots in a minute if they work together. 

If there are 60 carrots, it will take 12 minutes for them to chop up all the carrots, because 60 divided by 5 is 12. 

Therefore, 12 is the correct answer. 

Given that 36 is divisible by 6, it follows that 360 would be divisble by 60 (as both numbers are multiplied by 10). A multiple of 360, such as 3,600 would also be divisible by 60. 

Given that none of the other answer choices listed are divisble by 60, the correct answer is 3,600. 

When dividing by variables you must deal with the like variables first.  

Since there are $\displaystyle x$ variables on the numerator and denominator, you would divide them together.  

The constants will divide regularly and the $\displaystyle x$ variables will cancel out 

$\displaystyle \frac{6x}{3x}=2$.  

The other variables are left alone so the final answer will just be 

$\displaystyle 2*5y*2z=20yz$.

Simplify the following expression:

$\displaystyle \frac{t^4x^5p^{26}}{t^2x^4p^{20}}$

When we are dividing variables, we can simpligy by subtracting the exponent of the variable on bottom from the variable on the top.

So because t has an exponent of 4 on top and 2 on the bottom, the new exponent will be:

$\displaystyle t^4-t^2=t^{4-2}=t^2$

Do the same for our other two exponents (x and p) to get the following

$\displaystyle \frac{t^4x^5p^{26}}{t^2x^4p^{20}}=t^2xp^6$

Making our answer:

$\displaystyle t^2xp^6$

For this division problem, you must deal with the like terms.  

You will divide the constants and then divide the $\displaystyle x$ variables.  

$\displaystyle 4\div2=2$ 

and then 

$\displaystyle x^{3}\div x=x^{2}$ 

because when dividing exponents with common bases, you just subtract the exponents.  

The $\displaystyle y$ variable remains unchanged and your answer is,

$\displaystyle 2x^{2}y^{2}$.

To solve  

$\displaystyle 7^{4} \div (18-11) =$

First, use the order of operations.

$\displaystyle 7^{4} \div 7 =$

When dividing with variables and the coefficients are the same, subtract the exponents.

$\displaystyle 7^{4} \div 7^{1} = 7^{4-1}$

$\displaystyle 7^{4-1} = 7^{3}$$\displaystyle 7^{3} = 7\times 7\times 7 = 343$

To solve, subtract the exponents

 $\displaystyle \frac{x^{8}}{x^{2}} = x^{8-2}$

$\displaystyle x^{6}$

To solve $\displaystyle \frac{n^{3}}{n^{6}}$ subtract the exponents

$\displaystyle n^{3-6} = n^{-3}$

$\displaystyle n^{-3} = n\div -3 =$

$\displaystyle \frac{1}{n^{3}}$

The formula for the Area of a rectangle is:

A - length x width

Is this problem, you are given the amount of total area or A, which is$\displaystyle 36ab^{3}$ square units, and you are given the measurement of the length, which is $\displaystyle 6ab$.  In order to solve for the measurement of the width, divide.  When dividing, exponents are subtracted.

$\displaystyle 36\div6 =6$

$\displaystyle \frac{a^{1}}{a^{1}} = a^{1-1} = a^{0} = 1$

$\displaystyle \frac{b^{3}}{b^{1}} = b^{3-1} = b^{2}$

$\displaystyle 6 (1) \times b^{2} = 6b^{2}$ units 

To solve $\displaystyle \frac{9x^{4}y^{6}}{3x^{2}y^{2}}$ separate each part of the terms and divide.  When dividing variables with exponents, subtract the exponents.

$\displaystyle 9\div 3 = 3$

$\displaystyle \frac{x^{4}}{x^{2}}=x^{4-2} =x^{2}$

$\displaystyle \frac{y^{6}}{y^{2}}=y^{6-2} =y^{4}$

$\displaystyle 3x^{2}y^{4}$