Answer:
<h2>x = 6</h2>
Step-by-step explanation:
Multiply through by 2
That's
<u>Expand</u>
That's
5x + 4 + 4x = 58
9x = 58 - 4
9x = 54
Divide both sides by 9
That's
We have the final answer as
<h3>x = 6</h3>
Hope this helps you
Answer:
Explanation:
There are 36 possible outcome:
(1,1) (1,2) (1,3)...(1,6)
(2,1)....(2,6)
(3,1).....(3,6)
(4,1)....(4,6)
(5,1)....(5,6)
(6,1).....(6,6)
The possibility of getting a doublet are 6 possible outcome:
(1,1) (2,2) (3,3) (4,4) (5,5) (6,6)
P = 6/36 = 1/6
The possibility for getting a sum of prime number are 8 outcome:
(1,2) (2,1) (2,3) (3,2) (5,2) (2,5) (5,6) (6,5)
P = 8/36 = 2/9
No of ways = 9! = 362880
The fourth option is correct.
Hope it helped!
The dimensions of the enclosure that is most economical to construct are; x = 14.22 ft and y = 22.5 ft
<h3>How to maximize area?</h3>
Let the length of the rectangular area be x feet
Let the width of the area = y feet
Area of the rectangle = xy square feet
Or xy = 320 square feet
y = 320/x -----(1)
Cost to fence the three sides = $6 per foot
Therefore cost to fence one length and two width of the rectangular area
= 6(x + 2y)
Similarly cost to fence the fourth side = $13 per foot
So, the cost of the remaining length = 13x
Total cost to fence = 6(x + 2y) + 13x
Cost (C) = 6(x + 2y) + 13x
C = 6x + 12y + 13x
C = 19x + 12y
From equation (1),
C = 19x + 12(320/x)
C' = 19 - 3840/x²
At C' = 0, we have;
19 - 3840/x² = 0
19 = 3840/x²
19x² = 3840
x² = 3840/19
x = √(3840/19)
x = 14.22 ft
y = 320/14.22
y = 22.5 ft
Read more about Maximization of Area at; brainly.com/question/13869651
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I don't know if i'm right but i think its A cuase it has a comma after each place like it should be
