Answer:
length=53 in
width= 23 in
Step-by-step explanation:
First, we know that each corner has now a square of 6 in long, so the heigth of the box will be of this size (as you can see in the picture attached). Then, the length and the width of the box would be the same as the piece, but with 12 in less. Therefore the equations to solve the problem are:

We factorize the 6 and we get:

Finally we solve for x, and we get the initial dimensions of the piece of metal:


Answer:
Option c. 81/2
Step-by-step explanation:
Fifth term: a5=?
First term: a1=8
Common ratio: r=3/2
an=a1*r^(n-1)
with n=5
a5=a1*r^(5-1)
a5=a1*r^4
Replacing the known values:
a5=8*(3/2)^4
a5=8*(3)^4/(2)^4
a5=8*81/16
Simplifying: Dividing the numerator and denominator by 8:
a5=(8*81/8)/(16/8)
a5=81/2
Answer: Option c. 81/2
Answer:
Step-by-step explanation:
2 in 2:3 is the amount of blue paint
3 in 2:3 is the amount of yellow paint
Figure out how many times to multiply 2 to get 16:
16/2=8
Now, multiply 3 by 8, which would be equal to 24.
Ratio: 16:24
A. 3n + 4
First Four Terms: 7, 10, 13, 16
Tenth Term: 34:
Plug in 10, 3 x 10 = 30 + 4 = 34
B. 4n - 5
First Four Terms: -1, 3, 7, 11
Tenth Term: 35
Plug in 10, 4 x 10 = 40 - 5 = 35
Answer:
The correct answer is 1/2 or 0.5
Step-by-step explanation:
8(15-4)/4^2-5
8(11)/4^2-5
Now i'm going to multiply 8 by 11
88/4^2-5
Now solve 4^2
Which is 16.
Now we have 88/16-5
Divide 88 and 16 which is 5.5.
Now minus 5.5 - 5 which gets us our answer: 0.5