Answer:
15:1
Step-by-step explanation:
225:15
÷15 both sides
15:1
Answer:
James is 37, Rob is 44, and Kate is 35
Step-by-step explanation:
Set up an equation where x is James' age:
Rob's age can be represented by x + 7, since he is 7 years older than James
Kate's age can be represented by x - 2, since she is 2 years younger than James
Add these together in the equation and set it equal to 116:
(x + 7) + (x - 2) + (x) = 116
Add like terms and solve for x:
(x + 7) + (x - 2) + (x) = 116
3x + 5 = 116
3x = 111
x = 37
So, James is 37.
Find Rob's age by adding 7 to this:
37 + 7
= 44
Find Kate's age by subtracting 2:
37 - 2
= 35
So, James is 37, Rob is 44, and Kate is 35
Answer:
It's impossible because the figure is greater than 10
Step-by-step explanation:
Therefore:
Answer:
B) 4
Step-by-step explanation:
1. <em>It is either 3 or 4</em>, since those are only two angles comparing the lighthouse and the boat.
2. The angle of depression is noted below the horizontal and above the actual line, and out of 3 and 4, <em>4 is the only angle that is below its corresponding horizontal</em>.
So, the angle of depression from the lighthouse to the boat is 4.
-- They're losing employees . . . so you know that the line will slope down, and
its slope is negative;
-- They're losing employees at a steady rate . . . so you know that the slope is
the same everywhere on the line; this tells you that the graph is a straight line.
I can see the function right now, but I'll show you how to go through the steps to
find the function. I need to point out that these are steps that you've gone through
many times, but now that the subject pops up in a real-world situation, suddenly
you're running around in circles with your hair on fire screaming "What do I do ?
Somebody give me the answer !".
Just take a look at what has already been handed to you:
0 months . . . 65 employees
1 month . . . . 62 employees
2 months . . . 59 employees
You know three points on the line !
(0, 65) , (1, 62) , and (2, 59) .
For the first point, 'x' happens to be zero, so immediately
you have your y-intercept ! ' b ' = 65 .
You can use any two of the points to find the slope of the line.
You will calculate that the slope is negative-3 . . . which you
might have realized as you read the story, looked at the numbers,
and saw that they are <u>firing 3 employees per month</u>.
("Losing" them doesn't quite capture the true spirit of what is happening.)
So your function ... call it ' W(n) ' . . . Workforce after 'n' months . . .
is <em>W(n) = 65 - 3n</em> .
