Answer:
A) A = X^2 + 11X + 24
B) X = 18 ft
C) 414 ft^2
D) 132 ft^2
Step-by-step explanation:
A) Width W of yard and path = X + 3
Lenght L of path = X + 5 + 3 = X + 8 ft, therefore,
Area of yard and path = L x W = (X +3) x (X +8)
A = X^2 + 11X + 24
B) if area of the yard and path is 546 ft^2,
546 = X^2 + 11X + 24
X^2 +115X - 522 = 0 (quadratic equation)
Solving the quadratic equation gives
X = 18 and X = -29
Our answer can only be positive so we choose X = 18 ft
C) lenght of yard = 5 + 18 = 23 ft
Width = 18 ft
Therefore area = L x W = 23 x 18 = 414 ft^2
D) area of path = area of path and yard minus area of yard
= 546 - 414 = 132 ft^2
Answer:
10z + 5
Step-by-step explanation:
(3 z + 1) + (5 + 7 z )
3 z + 1 + 5 + 7 z [Remove parentheses]
10z + 5 [Combine like terms]
Answer:
1 1/9
Step-by-step explanation:
put the problem into the calculator and divide. so simple
1500 points= 100%
x =68%
(68)(1500)/100= 1020
He must have 68%(1020points) of the 1500 points
He has 953 points
1020-953= 67
He must earn 67 more points by the end of the term
Answer:
13/15
Step-by-step explanation:
2 1/6= 13/6
2 1/2= 5/2
13/6 divided by 5/2 = 13/6 times 2/5= 26/30
simplify 26/30 = 13/15
