Sean has a piece of string 7/8 meter long. he uses 1/5 of the piece of string to tie a package and cuts the rest into 5 equal pieces. what is the length of each piece?

7/50

Step-by-step explanation:

First we have to find how much string we are going to cut into 5 pieces. We do this by taking 1/5 of 7/8 meter.

1/5 × 7/8 = 7/40

Now we have to subtract this from the original amount...

7/8 - 7/40 =

35/40 - 7/40 =

28/40 = 14/20 = 7/10

Now we divide this remaining string by 5 to find the length of the individual pieces...

7/10 ÷ 5 =

7/10 × 1/5 =

7/50 meter

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!

m∠a is 90°

m∠b is 40°