Question

Messy Essy very rarely cleaned off her table. She started with 3 5/8 inches of mail piled up, and she added 3/4 inches of mail each day. How tall will the pile of mail be after 5 days?
A. 6 5/8 inches
B. 7 3/8 inches
C. 8 3/4 inches
D. 8 19/20 inches

Answer 1

Answer:

B. 7 3/8 inches ($7\frac{3}{8}$ inches)

Step-by-step explanation:

       So we have 3 $\frac{5}{8}$ to start. $\frac{3}{4}$ is added every day, so the number of days can be x. Our equation will look like this:

y = 3 $\frac{5}{8}$ + $\frac{3}{4}$x

where y is how tall the pile is and x is the number of days.

       They give us a x value, which is 5, as it says "after 5 days" so we can plug that into our equation:

y = 3 $\frac{5}{8}$ + $\frac{3}{4}$x

y = 3 $\frac{5}{8}$ + $\frac{3}{4}$(5)

Now, let's solve.

       Multiply the 5 into the three fourths:

y = 3 $\frac{5}{8}$ + $\frac{15}{4}$

       Now we need to add them together, I am going to turn 3 $\frac{5}{8}$ into an improper fraction:

3 * 8 = 24

24 + 5 = 29

29 / 8

       Next, let's turn 15/4 into a common denominator of 29/8 by multiplying both the numberator and the denominator by 2:

30/8

       Then, let's add:

y = $\frac{29}{8} +\frac{30}{8}=\frac{59}{8}$

       Last, I am going to turn it into a mixed number so we can chose our answer.

$\frac{59}{8}=7.375=7\frac{3}{8}$

       This brings us to our answer of B.

Answer 2

I'm pretty sure it's b sorry if i'm wrong