Answer:
4 11/12
Step-by-step explanation:
4 x 2/3 = 8/12
3 x 5/4 = 15/ 12
8/12 + 15/12 = 23/12 = 1 11/12 + 3 = 4 11/12
Answer:
0.347
Step-by-step explanation:
n = 3
p = 1/6
r = 1
Use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
P = ₃C₁ (1/6)¹ (5/6)³⁻¹
P = 0.347
Or, using a calculator:
P = binompdf(n, p, r)
P = binompdf(3, 1/6, 1)
P = 0.347
Answer: ∠1 = 109° ∠2 = 71°
<u>Step-by-step explanation:</u>
If the two angles form a linear pair, then their sum is 180°
∠1 + ∠2 = 180°
(5x + 9) + (3x + 11) = 180
8x + 20 = 180
8x = 160
x = 20
∠1 = 5x + 9
= 5(20) + 9
= 100 + 9
= 109
∠2 = 3x + 11
= 3(20) + 11
= 60 + 11
= 71
<u> CHECK:</u>
∠1 + ∠2 = 180°
109° + 71° = 180°
180° = 180° 
:) Well, I dunno about anyone else but this question makes my head spin!
Given that total amount of metal in the beginning = 8.2 square feet
Given that used amount of metal = 2.1 square feet
Then remaining amount of metal = (8.2-2.1) = 6.1 square feet
Now it says that "$183 worth of sheet metal remaining".
That means cost of 6.1 square feet is $183.
Let cost of 1 square feet of the metal = x
Then cost of 6.1 square feet of the metal = 6.1x
Both expressions 6.1x and $183 represent the cost of the remaining metal so the required equation will be:
6.1x=183
Now we can solve it to find the solution
x=183/6.1
x=30
So the cost per square feet of the metal = $30
Hence final answer is $30 per square feet.
