Answer:
3 1/4 inches
Step-by-step explanation:
22 3/4 ÷ 7
21÷7=3
1 3/4 = 7/4
7/4= 1/4+1/4+1/4+1/4+1/4+1/4+1/4
3 1/4 inches
Let's call the number you thought of n. Then what the two steps you took can be written as an equation:
Subtract n to get all of your variables to one side:
At this point, I recommend turning your mixed number into an improper fraction. It will make things easier later on:
Now divide both sides by 11 to get the value of n:
Answer:
C
Step-by-step explanation:
This is your current equation: y= 3x + b. Next, plug in one of your coordinates to the equation. It doesn't matter which one. I'm going to use the second ordered pair, so it should look like this: 5 = 3(0) + b. Multiply 3 and 0 to get 5 = b. So, your equation is y = 3x + 5. The correct answer is C. Hope this helped!
Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
