Answer:
I have 12 marbles, and I need 3 times the amount to qualify for the marble contest.
Step-by-step explanation:
3x-6+10x+15=35
10x+3x=35-15+6
13x=26
x=2
Answer:
The slope is undefined
Step-by-step explanation:
x = c , where c is any real number, is a vertical line.
Slope is defined as (change in y)/(change in x).
On the x-y axis, with a vertical line, there is no change in the x value, so the change in x equals zero. So you have...
(change in y)/0
You can't divide by zero, so we say the value is undefined.
x = 6 means that all x values for this line are 6. So only the y values change
Question: What is 16% of 80?
You have to change the percentage to a decimal.
Remove the percentage sign and divide by 100 (% are based off 100)
16%⇒.16
Now multiply .16 and 80
Answer: 12.8
Answer:
Each yard is 150 meters wide and 200 meters tall.
The overall area is 300 meters wide by 200 meters tall.
Step-by-step explanation:
Let's say each yard has a width w and a height h. And let's say the part of the fence that divides them is parallel to the height. The total amount of fencing is therefore:
1200 = 4w + 3h
The total enclosed area is:
A = 2wh
Start by solving for w in the first equation:
1200 − 3h = 4w
w = 300 − 0.75h
Substitute into the second equation:
A = 2 (300 − 0.75h) h
A = 600h − 1.5h²
Take derivative and set to 0:
dA/dh = 600 − 3h
0 = 600 − 3h
h = 200
Solve for w:
w = 300 − 0.75h
w = 150
So each yard is 150 meters wide and 200 meters tall.
The overall area is 300 meters wide by 200 meters tall.