Answer:
5 3/8
Step-by-step explanation:
3 1/8 ÷(x−4 7/28 )= 17/18 +1 5/6
Get a common denominator for the right side
3 1/8 ÷(x−4 7/28 )= 17/18 +1 15/18
Combine like terms
3 1/8 ÷(x−4 7/28 )= 1 32/18
3 1/8 ÷(x−4 7/28 )= 2 14/18
3 1/8 ÷(x−4 7/28 )= 2 7/9
We have a ÷ b = c
Rewriting as a ÷c = b
3 1/8 ÷ 2 7/9 = (x−4 7/28 )
Changing from mixed numbers to improper fractions
25/8 ÷ 25 /9 = (x−4 7/28 )
Copy dot flip
25/8 * 9/25 = (x−4 7/28 )
9/8 = (x−4 7/28 )
Add 4 7/28 to each side
9/8 + 4 7/28 = (x−4 7/28 )+ 4 7/28
Simplifying the fractions
9/8 + 4 1/4 = x
Getting a common denominator
9/8 + 4 2/8 =x
4 11/8 =x
4 + 8/8+3/8 =x
5 3/8
Answer:
The slope is 2.
Step-by-step explanation:
slope = rise/run
= 1-(-5) / 2-(-1)
= 6/3 = 2
Therefore, the slope is 2.
length = 4 yards and width = 3.5 yards
let width be w then length is 2w - 3
area = w(2w - 3) = 14 (rearrange in standard form )
2w² - 3w - 14 = 0 ← in standard form
(2w - 7 )(w + 2 ) = 0 ← in factored form
equate each factor to zero and solve for w
2w - 7 = 0 ⇒ w = 3.5
w + 2 = 0 ⇒ w = - 2
but w > 0, hence w = 3.5
width = 3.5 yards and length = (2 × 3.5 ) - 3 = 4 yards
Correct answer should be= 1.5 hours.
