3r = 10 + 5s
Put the value of r = 10 to the equation and solve it for s:
3(10) = 10 + 5s
30 = 10 + 5s <em>subtract 10 from both sides</em>
20 = 5s <em>divide both sides by 5</em>
4 = s → s = 4
<h3>Answer: for r = 10, s = 4.</h3>
Answer:
The width is 18 feet and the length is 42 feet
Step-by-step explanation:
Let x feet be the width of the patio. The length of the patio is 6 feet longer than twice it’s width, then the length of the patio is 2x+6 feet.
Wayne is hanging a string of lights 78 feet long around the three sides of his patio, which is adjacent to his house. The side with length 2x+6 feet is adjacent to the house, so Wayne is hanging a string along three sides with lengths x ft, x ft and 2x+6 ft.
Hence,
The width 
ft
The length 
ft
If there are 13 letters typed, the probability that no letters will be repeated can be found to be 1.05 x 10⁻²⁰
<h3>How to find the probability no letters are repeated?</h3>
First, find the number of possibilities of 13 letters from 26 letters in the alphabet as:
= 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26
= 6.156 x 10³⁶ possibilities
If the numbers are not to be repeated then the possibilities are:
= 26 x 25 x 24 x 23 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14
= 64764752532480000 possibilities
The probability that no letters are repeated is:
= 64764752532480000 / 6.156 x 10³⁶
= 0.0000000000000000000105
= 1.05 x 10⁻²⁰
Find out more on probability at brainly.com/question/8994028
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Answer:
At break even cost = revenue
Step-by-step explanation:
A company is said to be at break even if the cost of producing an item is equal to the revenue generated from the sell of that item, that means there is no loss or gain.
If the cost function C(x) = 200 + 10x and the revenue function R(x) = 60x - x², where x is the amount of items produced. At break even, R(x) = C(x)
60x - x² = 200 + 10x
x² - 60x + 10x + 200 = 0
x² - 50 x + 200 = 0
x = 46 or x = 4 is the break even point
