95 - 3/4 what is the value of the expression

377 /4  = 94 and 1 / 4  =94.25

Step-by-step explanation:

Subtract

95 − 3 /4

 = 377 / 4

Convert integer to fraction

95 = 95 / 1

Find common denominator

95 over 1

− 3 over 4

= ( 95 × 4 ) over ( 1 × 4 )

 − ( 3 × 1 ) over ( 4 × 1 )

= 380 over 4

 − 3 over 4

4 is the least common multiple of denominators 1 and 4. Use it to convert to equivalent fractions with this common denominator.

Subtract

380 over 4

− 3 / 4

= ( 380 − 3 ) / 4

= 377 /4

Simplify

377 / 4

= 94 and 1 /494

Reduce fraction to lowest terms

1 is the greatest common divisor of 377 and 4. The result can't be further reduced.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

377 /4

= 94 1 /4

377 ÷ 4 = 94 remainder 1

Total distance traveled in ninth second is:

289 feet.

Step-by-step explanation:

The distance (in feet) that the projectile traveled each second, starting with the first second, was given by the arithmetic sequence :

17, 51, 85, 119, ...

i.e. we have:

Since,

where d represents the common difference of the sequence.

Hence, the ninth term of the sequence is the total distance that the projectile traveled in the ninth second i.e.

Hence, the total distance traveled in the ninth second is:

289 feet.