Answered

Negative and positive numbers are used to represent how far something is above or below a point of reference. The point of reference such as sea level zero balance or target amount is considered to be zero. Five and a half below sea level = + 100.25 Write and a evaluate a numeric expression to represent each situation. 1. Marcy is tracking the depth of a baby shark in the ocean. The baby shark swims 3 more feet below sea level each day. At this rate how deep will the shark be swimming after 5 days. 2. The construction worker adds 1/4 of a bucket of concrete mix to the sidewalk 6 times to fill the mold. The concrete was to high so he removes 1/8 of a bucket 2 times to level it out. What is the overall amount of concrete used to make the sidewalk?



Answer :

Hekady

Step-By-Step Solution:

To represent the situation with Marcy tracking the depth of the baby shark in the ocean, you can create a numeric expression.

1. Denote the initial depth of the baby shark as [tex]0[/tex] (at sea level).

2. Since the baby shark swims 3 more feet below sea level each day, the depth can be represented by the following expression:

[tex]0-3\times 5=-3\times5=-(3\times5)=-(15)=-15\ feet[/tex]

Therefore, after 5 days, the shark will be swimming at a depth of -15 feet below sea level.

To determine the overall concrete amount used to make the sidewalk by the construction worker, you can also create a numeric expression.

1. Denote the initial concrete amount as [tex]0[/tex].

2. The construction worker adds [tex]\frac{1}{4}[/tex] of a bucket of concrete mix [tex]6[/tex] times, which can be represented as:

[tex]0+6\times\frac{1}{4}=6\times\frac{1}{4}=3\times\frac{1}{2}=\frac{3}{2}=1\frac{1}{2}=1.5\ buckets[/tex]

3. Then, the worker removes [tex]\frac{1}{8}[/tex] of a bucket [tex]2[/tex] times, which can be represented as:

[tex]1.5-2\times\frac{1}{8}=1.5-\frac{1}{4}=1.5-0.25=1.25\ buckets[/tex]

Therefore, the overall concrete amount used to make the sidewalk is 1.25 buckets.

Answer:

1.25 buckets

Other Questions