Answer:
Step-by-step explanation:
x is the number of junior programmers.
Each junior programmers costs $48,000.
So, the cost of x junior programmers is
48,000x
y is the number of senior programmers
Each senior programmer costs $86,000
So the cost of y seniors programmers is
86,000y
The total cost for x junior programmers and y seniors programmers is
48,000x + 86,000y
To keep costs down, the total spending on these new positions must be under $1,200,000 annually.
So the inequality is:
X = 58
The angle directly across from the 32 is also 32 degrees because it uses the same lines at the same angles. That's the Vertical Angles Theorem. The line straight across means that is 180 degrees, which is already split in half by the visible 90 degree angle (given by the box in the corner). Since all the angles are on the same side of the line, the 180 degree angle, they should add up to equal 180 degrees. Also, since 90 is half of 180, the 32 degree angle and the x angle should just add up to equal 90 degrees. So, 90 minus 32 equals 58.
Answer:
Step-by-step explanation:
Since the height isn't given, we assume it to be "h" (of cylinders). And the answer will be in terms of "r" and "h".
The area of 1 arm is given, so the area of 2 arms would be:
Now, area of 2 cylinders would be the formula:
So, total area is A_arm PLUS A_cyl. The fractional area the arms are would be gotten by taking expression A_arm divided by A_total.
Shown below:
We simplify further:
THis is the answer.
Let x be number of black markers
4.5x + 2x3.25x + 3x1.98x = 284.24
16.94x = 284.24
x = 16.78 = 17
The person bought 17 black pens, 34 red and 51 green
They would be 20, 21, 22, 23, and 24
