Anthony bought an 8-foot board. He cut off 3/4 of the board to build a shelf, and gave 1/3 of the rest to his brother for an art project. How many inches was the piece Anthony gave to his brother.

8 inches

Step-by-step explanation:

Anthony bought an 8-foot board. He cut off 3/4 of the board to build a shelf

Step 1

The amount of board he used to build the shelf is calculated as:

= 3/4 of 8 foot board

= 3/4 × 8 foot

= 6 foot board.

Step 2

The amount of board left after building the shelf = The rest =

8 foot - 6 foot

= 2 foot

Step 3

We are told that he gave 1/3 of the rest to his brother for an art project

The amount of board he give his brother for an art project =

1/3 × 2 foot

= 2/3 foot

Step 4

How many inches was the piece Anthony gave to his brother?

We convert 2/3 foot to inches

1 foot = 12 inches

2/3 foot = x inches

Cross Multiply

x inches = 2/3 foot × 12 inches

x inches = 8 inches

Therefore, Anthony gave his brother 8 inches of board.

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;