Answer:
-9/5
Step-by-step explanation:
Step 1: Take the LCM in the denominator
6/5-3
multiply the numerator and denominator by 5 to make the denominator 5.
<u>6</u>-<u>3</u> (x5)
5 1 (x5)
=<u>6-15</u>
5
= <u>-9</u>
5
!!
Answer:
.4 yards of fabric were used for each pillow.
Steps:
2/5=0.4 (or 
)
Answer:
2.29 ft of side length and 1.14 height
Step-by-step explanation:
a) Volume V = x2h, where x is side of square base and h is hite.
Then surface area S = x2 + 4xh because box is open.
b) From V = x2h = 6 we have h = 6/x2.
Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.
We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.
Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.
To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.
And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2
60=5k
Is the equation because the word 'is' means equals, so we add an equal sign after the 60. "Five times greater" simply means multiply so we multiply 5 and k.
Then to solve the equation, you would need to divide both sides by 5 to isolate the variable
60/5=5k/5
12=k
I hope this helped!
Answer: 120
<u>Step-by-step explanation:</u>
Permutation means that order matters.
