Answer:
6 square feet
Step-by-step explanation:
Carpet has w= 8 ft and l = 12 ft
Reduced carpet has w' = 2 ft
<u>Reduction factor is </u>
<u>Then </u>
<u>Area of small carpet</u>
Chapter : Linear equations
Lesson : Math for Junior High School
7x + 14y = 28
if want to find x and y, we must substitution value 0 to the equation x and y :
# If x = 0, then :
7x + 14y = 28
= 7(0) + 14y = 28
= 0 + 14y = 28
= 14y = 28 → y = 28/14
= y = 2
# If y = 0, then :
7x + 14y = 28
= 7x + 14(0) = 28
= 7x + 0 = 28
= 7x = 28 → x = 28 / 7
= x = 4
and that result was proven x = 4 and y = 2
Answer:
Maximum area possible
f(max) = 3906,25 ft²
Dimensions:
a = 62,5 ft
w = 62,5 ft
Step-by-step explanation:
Perimeter of the rectangular fencing P = 250 feet
And sides of the rectangle a and w (width of rectangle)
Then
A = a*w
2a + 2w = 250 ⇒ a = (250 -2w)/ 2 ⇒ a = 125 - w
f(w) = (125 - w ) *w f(w) = 125w - w²
Taking derivatives both sides of the equation
f´(w) = 125 - 2w f´(w) = 0 125 - 2w = 0
w = 125/2
w = 62,5 ft ⇒ a = 125 - 62,5
a = 62,5 ft
f(max) = ( 62,5)²
f(max) = 3906,25 ft²
Answer: 0.0008
Step-by-step explanation: Hope this helps :)
Answer:
The correct option is A. 14%
Step-by-step explanation:
There is a 70% chance of rain tomorrow
⇒ The probability that it will rain tomorrow = 0.7
There is a 20% chance that the volleyball game will be postponed
⇒ The probability that the volleyball game will be postponed = 0.2
Now, We need to find the probability that it will rain tomorrow and the volleyball game will be postponed
⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = Probability that it will rain × Probability that the volleyball game will be postponed
⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.7 × 0.2
⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.14
⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.14 × 100
⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 14%
Thus, the correct option is A. 14%
