<h3>
Answer: Choice C</h3>
Equation is |x − 20| = 0.45
The min is x = 19.55
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Explanation:
fl oz = fluid ounces
x = volume of the drink in fl oz
The expression |x-20| represents how far x is from the target of 20 fl oz. We use absolute value to ensure the result is never negative. It might help to draw out a number line.
Two examples:
- If x = 22 then |x-20| = |22-20| = |2| = 2 which shows that 22 is 2 units away from 20 on the number line.
- If x = 17 then |x-20| = |17-20| = |-3| = 3 which shows that 17 is 3 units away from 20 on the number line.
We want this difference to be within 0.45 fl oz, i.e. we want |x-20| to either equal 0.45 or be smaller than it.
If we only cared about the min and max, then we set |x-20| equal to 0.45 to generate the equation |x − 20| = 0.45
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Solve this equation to find the min and max.
|x - 20| = 0.45
x-20 = 0.45 or x-20 = -0.45
x = 0.45+20 or x = -0.45+20
x = 20.45 or x = 19.55
The min is 19.55 fl oz and the max is 20.45 fl oz.
Phrased another way: the x values span from 19.55 to 20.45, inclusive of both endpoints. We could write
as a compact way to describe what values x could be.
Answer:
The 10th prime number is
Step-by-step explanation:
Prime numbers can only be divided by 1 and itself. The 10th prime number in this case would be 29.
When dividing with fractions, you "keep, change, and flip" the problem.
This means that the 4 becomes 1/4, so they are equal to each other.
What it looks like:
÷ 4 ->
x 
= keep
÷ = change to x
4 = flip to 
Answer:
<h3>The 5th term is 30</h3>
Step-by-step explanation:
Given the formula
f(n) = n² + 5
where n is the number of terms
So from the question we were told to find the 5th term that's
n = 5
In order to find the 5th term substitute the value of n that's 5 into the rule
We have
f(5) = 5² + 5
= 25 + 5
= 30
<h3>f(5) = 30</h3>
So the 5th term of the sequence in the given rule is 30
Hope this helps you
Answer:
= 40/3 = 13 1/3
Step-by-step explanation:
8/1 ÷ 3/5 = 8/1 x 5/3
8 x 5 = 40
1 x 3 = 3
= 40/3 = 13 1/3