Answer:
Length = 4 feet
Width = 4 feet
Step-by-step explanation:
The perimeter of a rectangle formula = 2L + 2W
Where L = Length
W = Width
The length of a rectangle is 8feet less than the width.
Hence,
L = 8 - W
The perimeter is 64 feet.
Hence,
64 = 2(8 - W) × 2W
64 =( 16 - 2W )2W
64 = -4W² + 32W
4W² - 32W + 64 = 0
Factorise
4W² - 16W - 16W + 64 = 0
4W (W - 4) - 16(W - 4) = 0
W - 4 = 0
W = 4
Width = 4
Solving for L
L = 8 - W
L = 8 - 4
L = 4
Therefore,
Length = 4 feet
Width = 4 feet
Answer:
Step-by-step explanation:
Lenny had a rectangular deck that was 12 feet by 14 feet he wants to increase the length and width by the same amount and at 120 square feet to the total area what's the answer
Answer:
Step-by-step explanation:
Suppose we think of an alphabet X to be the Event of the evidence.
Also, if Y be the Event of cheating; &
Y' be the Event of not involved in cheating
From the given information:
Thus, 
P(Y') = 1 - 0.01
P(Y') = 0.99
The probability of cheating & the evidence is present is = P(YX)
The probabilities of not involved in cheating & the evidence are present is:
(b)
The required probability that the evidence is present is:
P(YX or Y'X) = 0.006 + 0.000099
P(YX or Y'X) = 0.006099
(c)
The required probability that (S) cheat provided the evidence being present is:
Using Bayes Theorem
Answer
Option C : 2214(5)
Solution
The given number is 465 in base 8. To convert this number to base 5,we need to convert this number to base 10, then only we can compute the number in base 5
Step1 : Convert 465 to the base 8 to base 10
4 x 82=256
6 x 81=48
5 x 80=5
Adding 256 + 48+ 5 = 309(10)
Step2 : Convert 309(10) to base 5
5 | 309
5 | 61 |4
5 | 12 | 1
5 | 2 | 2
5 | 0 | 2
Therefore Answer = 2214(5 )
Answer: 14 red, 7 green, 44 blue
Step-by-step explanation:
First, use the letter <em>r</em> as a variable to represent the number of red Legos. The number of green Legos (<em>g</em>) is 7 less than the number of red Legos, or <em>g = r-7.</em> The number of blue Legos (b) is 2 more than 3 times the number of red Legos, or <em>b = 3r+2</em>. The total number of Legos is the number of red + green + blue Legos, which can be represented as <em>65 = r+g+b</em>.
Substitute the equations for g and b in. This should give you a final equation of <em>65 = r+(r-7)+(3r+2)</em>. To solve for the number of <u>red</u> Legos, first add up all of the terms to get <em>65 = 5r-5</em>. Now add 5 to each side (70<em> = 5r</em>). Finally, divide each side by 5 (r = 14).
To find the number of <u>green</u> Legos, substitute the number of red Legos (14) into the equation for the green Legos (<em>g = r-7</em>). This should get you the equation <em>g = 14-7</em> which simplifies to g = 7.
To find the number of <u>blue</u> Legos, substitute the number of red Legos (14) into the equation for the blue Legos (<em>b = 3r+2</em>). This gives you the equation <em>b = (3*14)+2.</em> First, multiply 3 and 14 to get <em>b = 42+2</em>. Finally, add them together to get b = 44.
