Question

A submarine hovers at 66 and two-thirds yards below sea level. If it ascends 24 and StartFraction 1 over 8 EndFraction yards and then descends 78 and three-fourths yards, what is the submarine’s new position, in yards, with respect to sea level? Negative 169 and StartFraction 13 over 24 EndFraction Negative 121 and StartFraction 7 over 24 EndFraction Negative 12 and StartFraction 1 over 24 EndFraction 12 and StartFraction 1 over 24 EndFraction

Answer 1

A submarine hovers at 66 and 2/3 yards below sea level. If it ascends 24 and 1/8 yards and then descends again 78 and 3/4 yards, what is the submarine’s new position, in yards, below sea level?

Answer:

The submarine's new position is $-121\frac{7}{24}\text{ yards}$ below sea level.

Solution:

Given that a submarine hovers at $66\frac{2}{3}$ yards below sea level. This means that the position of submarine is negative

Therefore, we get $-66\frac{2}{3}$

Also given that it ascend $24\frac{1}{8}$ yards

So we have to add $-66\frac{2}{3}$ and $24\frac{1}{8}$

$\rightarrow -66\frac{2}{3} + 24\frac{1}{8}\\\\\text{Convert mixed fractions to improper fractions }\\\\\rightarrow -\frac{66 \times 3+2}{3} + \frac{24 \times 8+1}{8} = \frac{-200}{3} + \frac{193}{8}\\\\\rightarrow \frac{-200 \times 8}{3 \times 8} + \frac{193 \times 3}{8 \times 3}\\\\\text{Simplify the above expression }\\\\\rightarrow \frac{-1600}{24} + \frac{579}{24} = \frac{-1021}{24}$

The submarine descends again 78 and 3/4 yards

This means we need to subtract $-78\frac{3}{4}\text{ yards from } -\frac{1021}{24}\text{ yards}$

$\rightarrow \frac{-1021}{24} -(78\frac{3}{4})\\\\\rightarrow \frac{-1021}{24} - \frac{78 \times 4 + 3}{4}\\\\\rightarrow \frac{-1021}{24} - \frac{315}{4} = \frac{-1021}{24} - \frac{315 \times 6}{4 \times 6}\\\\\rightarrow \frac{-1021 -1890}{24} = \frac{-2911}{24}\\\\\text{Simplify the expression }\\\\\rightarrow \frac{-2911}{24} = -121\frac{7}{24}$

Therefore, the submarine's new position is $-121\frac{7}{24}\text{ yards}$ below sea level.

Answer 2

Answer:

The answer-121 and 7/24

Hope this helps

:D

If I'm wrong sorry

And sorry that I'm super late