Answer:the width of plywood = 6.25 feet wide or 6 1/4 feet wide
Step-by-step explanation:
Step 1
Area of a rectangular plywood = length x width
Area of Ist Plywood= 7 x w
Area of 2nd Plywood= 61/2 x w=6.5 xw
But Total Arae of trhe two Plywoods are = 84 3/8 square feet.
Therefore Our equation to solve the problem becomes
Area of Ist Plywood + Area of 2nd Plywood =84 3/8 square feet.
7w + 6.5w = 84 3/8
13.5w= 84 3/8
w = 84 3/8/13.5
675/8 / 13.5
w=6.25
Therefore the width of plywood = 6.25 feet wide or 6 1/4 feet.
<span>16.5
1 pint(US) = 0.5 quarts (US)</span>
Answer:
Step-by-step explanation:
P(y) = y³ + 2y² + 2y + 1
P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1
= -1 + 2 - 2 + 1
= 0
As, P(-1) = 0, (y + 1) is a factor.
Use synthetic division or remainder theorem.
-1 1 2 2 1
<u> 0 -1 -1 -1 </u>
1 1 1 0
quotient = y² + y + 1
y³ + 2y² + 2y + 1 = ( y + 1) (y² + y + 1)
$0.05(n) + $0.10(d) = $1.90
n + d = 27
n + d - d =27 - d
n = 27 - d
$0.05(27-d) + $0.10(d) = $1.90
1.35 - 0.05d + 0.10d = $1.90
1.35 +0.05d = $1.90
1.35 - 1.35 +0.05d = $1.90 -1.35
0.05d = 0.55
0.05d/0.05 = 0.55/0.05
d = 11
n = 27 - 11
n = 16
$0.05(16) + $0.10(11) = $1.90
$0.80 + $1.10 = $1.90
$1.90 = $1.90
Answer:
x = 1, y = -2
Step-by-step explanation:
15x + 3y = 9 (1)
10x + 7y = -4 (2)
3 × (2) - 2 × (1)
3 × (2)
30x + 21y = -12 (3)
2 × (1)
30x + 6y = 18 (4)
(3) - (4)
15y = -30
y = -30 / 15
y = -2
sub y = -2 into (1)
15x + 3y = 9
15x + (3 × -2) = 9
15x - 6 = 9
15x = 9 + 6
15x = 15
x = 15 / 15
x = 1
