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lukranit [14]
3 years ago
10

Sarah started 3 miles below the rim of the canyon and hiked until she was 8 miles above the rim. Her brother Sam said she hiked

5 miles. Sarah said she hiked 11 miles.
Who is correct and why?
A. Sam is correct because |3 – 8| = 5.
B. Sam is correct because |–3 – 8| = 5.
C. Sarah is correct because |–3 + 8| = 11.
D. Sarah is correct because |–3 – 8| = 11.
Mathematics
2 answers:
Marta_Voda [28]3 years ago
4 0

Answer:

The answer is D

Step-by-step explanation:

I took the quiz.

larisa86 [58]3 years ago
3 0

Answer:

D

Step-by-step explanation:

We can assume that the rim of the canyon is 0. Sarah started 3 miles <u>below</u>, so -3, BUT distance can never be negative, so it's considered 3 miles. Then, she went 8 miles <u>above</u> zero. So the 3 miles she went <em>before</em> reaching the rim plus the 8 miles she went <em>after</em> reaching the rim equals 11 miles.

So now we know that Sarah is right, but how do we know which equation is correct? Well, if we look at option C:

|-3+8|=11

When solving absolute value, we solve everything within the absolute value before applying the absolute value. This means that we add -3+8 first, which equals 5, and then apply absolute value, which still equals 5. This equation is not correct.

I hope this helps!

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Ksenya-84 [330]

The equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)

<em><u>Solution:</u></em>

Given that, we have to factor the given expression

<em><u>Given expression is:</u></em>

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The equivalent expressions can be found by factoring out the common factors of 48 and 42

<em><u>Let us first find the factors of 48 and 42</u></em>

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Thus the equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)

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