Jenna writes 5 fewer facts than Cleo. Let "c" = number of facts Cleo writes.
So an expression we can use to figure out how many facts Jenna writes is:
c - 5
So the table could look something like this:
10 ║ c-5 ║ 5
11 ║ c-5 ║ 6
12 ║ c-5 ║ 7
So if Cleo writes 31 facts, we can still use: c - 5
Plug in c = 31 to get:
31 - 5 = 26 facts for Jenna
Answer:
y = 3, 4, or 5
Step-by-step explanation:
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<u>Step 1; Simplify the Double Inequality</u>
Let's first simplify this double inequality to make answering this problem a bit easier. This means getting the middle term to be just y, without any added constant or coefficients.
In this case, this is a fairly simple process, as all we have to do to get y by itself is just divide the <em>entire inequality</em> by 2. This means that we will also divide the 5 and 12 by 2. (Note that the signs stay the same because we are not dividing by a negative number.)
Doing so gives us the following double inequality: 2.5 < y < 6.
<u>Step 2: Identify the Integers in this Range</u>
Now that we have a simplified double inequality, all we need to do is find all of the integers in its range. (Recall that an integer is <u>any number that is not a fraction when fully simplified (ex. …-1, 0, 1...)</u>.)
In other words, we need to find all of the integers <em>in between</em> 2.5 and 6. Note that we don't include 6 because of the "<" sign, which indicates that the 2.5 and 6 are not included in the set. These numbers are 3, 4, and 5, making them your answer. Hope this helps!
Answer:
<h2>-3</h2>
Step-by-step explanation:
If you mean 1/3 slope, then -3/1 or -3 since the opposite inverse rule says that perpendicular lines are opposite inverses of each other. In other words, flip the order of 1/3 to 3/1 and add a negative sign. This makes sense, since the lines would go in opposite directions.
I'm always happy to help :)
