An inequality: a number sentence with ≤, ≥, <, >, = or <span>≠
</span>≤ means: <span>"less than </span>or equal to<span>"
</span>≥ means: <span>"greater than </span>or equal to<span>"
</span>< means: "less than"
> means: "greater than"
≠ means: "not equal to"
= means: "<span>equals"</span>
Answer:
Step-by-step explanation:
Total amount of water = 500 ml
Mary drank = 400 ml
<u>Left:</u>
= 500 ml - 400 ml
= 100 ml
This was divided equally among 4 friends.
So,
<u>Each friend got:</u>
= 100 ml/4
= 25 ml
Speed = distance/time
distance = speed * time
let x = time covered by running
15 = run distance + walk distance
15 = 9(x) + 3(3-x)
15 = 9x + 9 - 3x
15 - 9 = 6x
6 = 6x
x = 1 hour
Therefore:
Running distance = speed * time
RD = 9km/hr * 1 hr
RD = 9km
Answer:
4 boxes left 3 boxes up.
Step-by-step explanation:
<h3><u>
Answer:</u></h3>
<h3><u>
Step-by-step explanation:</u></h3>
problem = a page
problems = __ pages
- First, we need to figure out what this problem is asking us. This problem is asking for how many pieces of paper we need to do math questions. Well, the first step is knowing how many pieces of paper are needed for a single question. Luckily the question tells us that we need a paper for problem. So I have shown above what we know, and what we need to know. How do we figure out how many pages are needed for math problems?
- There are a couple ways to solve this problem:
- Add to itself times to get our resultant.
- Multiply by .
<em>(I listed them in order of time it takes to solve; #1 will take the longest, and #2 the shortest)</em>
- I'll do both methods and you can decide which you are most comfortable with.
<u>Addition Method:</u>
- If we need to do problems, and problem is a page, doing problems is the same as doing a page times, so let's do just that by adding to itself times.
- Yep, that's going to be a lot of work, but I'll show that you can add to itself this many times and get the same answer as the step solution seen with multiplication. Here's my work.
<em>Note: (in case you struggle with fractions) Fractions when added together do NOT have a change in denominator (bottom number), only the numerator (top number) is added. Treat this as the same thing as addition, but you've got a number on the bottom that we'll deal with later.</em>
- In this step, I'm taking every pair of s and adding them together.
- Now, I'm again going to add my pairs together. Using this method saves time adding long chains of numbers and keeps your work minimized.
<em>Note: at this point you can actually convert your fractions to the whole number </em><em>. Four goes into twelve </em><em> times, so you'll end up with a clean number as your answer without any difficult conversions. Not converting now won't change your end result if you chose not to, but it will make things easier.</em>
or
<u>Multiplication Method:</u>
This method is much, much less time consuming compared to doing the addition, so I recommend using this method in most word problems like this one.
<em>Note: (read if you're having trouble with multiplication.) We have </em><em> problem, </em><em> a paper, being done </em><em> times, so we are taking the value </em><em> and adding it to itself </em><em> times; we are multiplying </em><em> by </em><em>. Adding a number to itself </em><em> times and multiplying a certain number by the value </em><em> holds no difference except in how it's written and how many steps we have to use to solve it. </em>
<em /> ×
- If you're used to seeing only whole numbers being multiplied, this may help you grasp it:
× ⇒ ×
- Remember that not only are both the numerators and denominators being multiplied, but separately. Here's the multiplications I did for both top and bottom.
numorater: × <em>(look up "long-multiplication if you are confused by this answer.)</em>
denominator: ×
- Once we have multiplied the numerators and denominators together, this is your answer:
×
- Look familiar? This is exactly what our unsimplified answer when adding our fractions together was.