Answer: Absolute Value
Step-by-step explanation:
The | | is a symbol for absolute value. This signifies that the number inside would be positive. Now, this doesn't mean it will always be a number inside absolute value bars. It can also be expressions.
<u>Examples:</u>
|1|: Even though the number inside is a positive 1, we know that it cannot be negative under any circumstances. The only exception would be if there was a negative sign on the outside of the absolute value.
|-1|: We see that there is a -1 in the absolute value. This means that it is actually a 1, not -1. The absolute value is what makes everything inside positive.
|1-5|: To solve this, we know that 1-5=-4. Without the absolute value, the answer -4 would be correct. In this case, we have absolute value, so the answer is actually 4.
|x+2|: x+2 can easily be negative. This would happen is x was a negative number that is smaller than -2. x+2 can also be positive, but the absolute value guarantees that the ending result must be positive.
Answer:
Sam workrate 1/5
Lucy workrate 1/3.5 = reciprocal of 7/2 = 2/7
combined workrate: 1/5 + 2/7 = 17/35
they will mow the lawn in 35/17 = 2 and 1/17 hours
2 hours 3 1/2 mins
Step-by-step explanation:
Answer:
90 pieces
Step-by-step explanation:
If a 6-ounce bag of fruit contains 45 pieces, then a bag two times larger than that bag would likely also be two times larger than how many pieces were in that bag. 45 x 2 = 90.
Given:
The expression is

To find:
The error in Frankie's work.
Solution:
We need to simplify
, so


and,


Now,





Therefore, there is error in Frankie's last step. In that step, he did not subtract the mixed fraction correctly.