<h3>
Answer: 180 inches</h3>
Work Shown:
L = 54 = length
W = 36 = width
P = 2(L+W) ... perimeter of the rectangle
P = 2(54+36)
P = 2(90)
P = 180
She needs 180 inches of ribbon.
To convert to feet, divide by 12. So 180 inches = 180/12 = 15 feet.
Answer:
30 each of 23% bars and 18 each of 79% bars
Step-by-step explanation:
If x is the number of 1 kg 23% copper bars, and y is the number of 1 kg 79% copper bars, then:
x + y = 48
0.23x + 0.79y = 0.44(48)
Substituting and solving:
0.23x + 0.79(48-x) = 0.44(48)
0.23x + 37.92 - 0.79x = 21.12
16.8 = 0.56x
x = 30
y = 48 - x
y = 18
You need 30 each of 23% bars and 18 each of 79% bars.
The percent of change = ((new value - old value) / old value) × 100%
Our new value = $261.50
Our old value = $382
Plug our values into the equation above.
(($261.50 - $382) / $382) × 100% = -31.54%
Answer:
Time taken by the un powered raft to cover this distance is T = 192.12 hr
Step-by-step explanation:
Let speed of boat = u 
Speed of current = v
Let distance between A & B = 100 km
Time taken in downstream = 32 hours
u + v = 3.125 ------ (1)
Time taken in upstream = 48 hours
u - v = 2.084 ------- (2)
By solving equation (1) & (2)
u = 2.6045
v = 0.5205
Now the time taken by the un powered raft to cover this distance
Because un powered raft travel with the speed of the current.
T = 192.12 hr
Therefore the time taken by the un powered raft to cover this distance is
T = 192.12 hr
Factor x^2 + x - 6
(x - 2)(x + 3) = 0
Solve for x
Ask yourself; When will (x - 2)(x + 3) equal zero?
When x - 2 = 0 or x + 3 = 0
Then solve for each of the two equations above
<em>x = 2, -3</em>
<u>Answer: C. 2, -3</u>
