The largest digit is worth 8000, while the smallest is .01, so the number is
8ABC.D1, where ABCD are digits we don't yet know.
The digit in the tens place (B) is 2 less than the one in the hundreds place (A). But when you add them together, they total...
The formula for this type of questions is Group 1 + Group 2 + Neither - Both = Total
Here, Group 1 is meat shoppers, Group 2 is vegetable shoppers
So: 22 + 17 + 2 - Both = 36
41 - Both = 36
Both = 5.
5 people were...
We're given 2 bits of information about this petting zoo...the amount of fencing used to enclose it and the area
Let's call the length of the rectangle l and the width w.
The fencing goes around the outside of the rectangle, which is known as the perimeter. Therefore...
What's happening every hour?
Wine is going into the vat at the rate of 1/6 of the vat every hour.
Wine is leaving the vat at the rate of 1/10 of the vat every hour.
So every hour, how much wine stays in the vat? The difference between what goes in and what...
Remember Distance = Rate x Time
In this case, we know a total distance and a total time, but not the individual rates.
Also, there are two time periods to consider: the time TS travelled alone (2 hours) and the time they both travelled (6-2, or 4 hours)
Since Batman is going faster than the Joker, he is catching up to him, which lessens the gap between them.
Batman is going 60 mph, and the Joker 40 mph, so every hour, Batman gains 20 miles on the Joker.
The Joker started 60 miles ahead, so it will take 60/20 = 3 hours...
Translate the words to math
Vegetables are one half of the whole garden
Lettuce is one third of the vegetable part
OF means MULTIPLY
SO lettuce is 1/3 * 1/2 = 1/6 of the whole garden.
Current mixture: 50 lbs x .96 = 48 lbs of concrete, 2 lbs of water
You want: 60 lbs x .95 = 57 lbs of concrete, 3 lbs of water
Therefore, you must add 9 lbs of concrete, 1...
You can set up a proportion:
1/4 inch = _ X
20 miles 216 miles
Cross multiply: (1/4 inch)*(216 miles) = x * (20 miles)
Combine & Cancel: 1/4*216...
If one person takes X days to do a job and another takes Y days to do a job, the time it takes them to do it together is
So, if, in this problem, the job together takes 28/11 days, then X * Y = 28 and...
What is the actual problem? So far, you have only defined a function and given the first term.
If you see a question like this, that looks like straightforward arithmetic, but involves multiplication, division, addition, and subtraction (or any combination of those), you should be thinking "This is probably testing me on Order of Operations."
With Order of Operations,...
Question 1 asks you to look at a line representing how far Manuel walks (y-axis) based on how long he's been walking (x-axis). Because it's a straight line, you know he walks at constant speed. Then, you have to look at other data points to determine which of them would also appear on...
Your actual values are 14 peanut butter cookies out of 56 total cookies. Make that a fraction:
Reducing that fraction by dividing numerator and denominator by 14 (the greatest common factor)
, you get
1 peanut butter cookie...
To solve for the value of the check you must take into account that the teller transposed the dollars and cents. (e.g. gave you 41.56 when the check was supposed to be 56.41). This means that you must represent the dollars and cents as different variables within the same number (e.g. $d.c) ...
Remember the rules for order of operations:
Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction (PEMDAS)
There aren't any Parentheses or Exponents,, so the next step is Multiplication and Division.
5 times 10 is 50, so the new equation is 50 + -18 = n + 55
Assuming the original problem is: [(m/4)*(n/3)]-1 divided by [(-5m/-3)*(n4)]2
The numerator becomes (mn/12)-1. Any fraction to the -1 power is just flipped, so this becomes 12/mn
The denominator becomes (-5mn4/-3)2 Squaring a fraction means squaring its numerator and denominator,...