Clark has 7 and 1 over 2 feet of wire. part a: how many 3 over 4 foot pieces can clark cut from the 7 and 1 over 2 feet of wire? show your work. (5 points) part b: using the information in part a, interpret the meaning of the quotient in terms of the two fractions given. (5 points)

Part A

Clark can cut the wire into 10 pieces.

Part B

This means of wire can be divided in 10 pieces each of

Step-by-step explanation:

Total length of wire =

Length of each piece the wire is being cut into =

Part A

Number of pieces the wire can be cut into =

⇒

In order to divide fractions we will first convert the mixed numbers to fraction.

⇒

⇒

Then we take reciprocal of divisor to change division to multiplication.

⇒

⇒

⇒ pieces

So, Clark can cut the wire into 10 pieces.

Part B

The quotient of and is

This means of wire can be divided into 10 pieces each of

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!

the answer is b.

step-by-step explanation: