Answer:
1 inch
Step-by-step explanation:
If we call the thickness of the frame x, then the dimensions of the glass are:
w = 8 − 2x
h = 10 − 2x
The area of the glass is width times height:
48 = (8 − 2x) (10 − 2x)
Distribute and simplify:
48 = 80 − 16x − 20x + 4x²
0 = 4x² − 36x + 32
0 = x² − 9x + 8
Factor and solve:
0 = (x − 1) (x − 8)
x = 1 or x = 8
x can't be more than 4 (half the width of the frame), so x = 1 inch.
He was on for 1 minute and 15 seconds i believe hope this helps
<u>Answer</u>:
The required is the multiplicative rate of change.
The correct answer is the second option<u> 2.5</u>
<u>Step-by-step explanation:</u>
The given function has the form of the exponential function
The general equation of the exponential function 
Wher c is constant and r is the multiplicative rate of change.
Using the given points to get the values of c and r
By using the point (0,2) ⇒∴ 
⇒ c = 2
By using the point (1,5) ⇒∴ 
⇒ r = 5/2 = 2.5
Check the answer using the other points
If x = 2 ⇒⇒⇒ 
If x = -1 ⇒⇒⇒ y=2 * 2.5^(-1) = 0.8
<u>So, the multiplicative rate of change = 2.5</u>
Answer:
208/8=26
Step-by-step explanation:
Each friend would get 26 beads.
Answer:
1 ton on wednesday!
Step-by-step explanation:
We need to go step by step for this one.
On monday the factory used 11/15 of a ton, while tuesday required 14/30 a ton more than that. To find tuesday's amount we must take 11/15 and add 14/30 to that.
11/15 + 14/30 = 1 1/5
Tuesday = 1 1/5 of a ton
On wednesday the factory uses 5/6 of the amount used on tuesday, which is 1 and 1/5 of a ton.
1 1/5 times 5/6 = 6/5 times 5/6
Anything multiplied by their reciprocal is 1, so the answer is 1. On wednesday 1 ton of grapes was used on wednesday!
