Since the amount of soda per dollar is the same for each company, we can equate the 2 ratios

And solve

(Cross multiply)

The first thing we must do is set up our equation. We do this by writing our earnings to hours worked ratio:

where  represents her earnings after working 25 hours.

We can then solve this equation for .

Then, 

He has worked 27 hours out of the 50 hours calculated. As such, we are asked how much he will earn after working the remaining 23 hours. 

We can first find his hourly pay and then calculate his earnings for 23 hours.

where  represents his hourly earnings

He earns $16.25 an hour

We can now calculate how much he earns for the remaining 23 hours:

So, George needs $373.75. 

Let  be the number of store employees,  the number of store managers, and  the number of corporate managers.

, so the number of store employees is .

, so the number of store managers is .

, so the number of corporate managers is .

Therefore, the number of employees who are either store managers or corporate managers is .

Setting up a proportion here is the way to go. To make our proportion even easier to solve, set it up in such a way that your unknown (antennae length for the actual rover) is in the numerator. Recall that in a proportion, we want to have similar parts together. In this case, we will keep the wheel radii on the left and the antennae lengths on the right.

By leaving our unknown on top, we can solve this in one fell swoop. Simply multiply both sides by  and simplify to get the answer.

We are asked to compare lengths of sides between a scale model and an actual building. This sounds like a ratio question. Set up our ratio so that our unknown is in the numerator. Make sure to set it up with similar sides together:

Cross-multiply and simplify to find the correct answer:

So, the width of the actual building is .

We need to use her total time and distance to find her running pace. Once we do, we can solve the problem.

That is, she ran at about a -minute-mile pace

So, it will take her about 

We first need to determine how much one foot of the fabric cost. Remember, one yard is equivalent to three feet:

So, five feet would cost 

A prime number is only divisible by the number 1 and itself. Of the integers between 50 and 60, all of the even integers are also divisible by the number 2 so they are not prime numbers. The integers 51 and 57 are divisible by 3. The integer 55 is divisible by 5. The only integers that are prime are 53 and 59. The sum of these two integers is 112.

We must remember that 0 and 1 are NOT prime numbers, but 2 is.

The four smallest prime numbers are 2, 3, 5, and 7. Then 2 * 3 * 5 * 7 = 210.

Note: There are NO negative prime numbers, so we don't have to look for tiny, negative numbers here.