Answer:
Step-by-step explanation:
What we have is a general equation that says this in words:
Laura's hours + Doug's hours = 250 total hours
Since we don't know either person's number of hours, AND since we can only have 1 unknown in a single equation, we need to write Laura's hours in terms of Doug's, or Doug's hours in terms of Laura's. We are told that Doug spent Laura's hours plus another 40 in the lab, so let's call Laura's hours "x". That makes Doug's hours "x + 40". Now we can write our general equation in terms of x:
x + x + 40 = 250 and
2x = 210 so
x = 105
Since Laura is x, she worked 105 hours in the lab and Doug worked 40 hours beyond what Laura worked. Doug worked 145. As long as those 2 numbers add up to 250, we did the job correctly. 105 + 145 = 250? I believe it does!!
Set up a proportion: x/y = x/y
(.75)/(15) = (x)/(25)
Then cross multiply:
(.75)(25) = (15)(x)
18.75 = 15x
x = 1.25 or (5/4)
There you go :)
Answer:
1/3 * (8 + 4)
Step-by-step explanation:
Expression which represents 1/3 tines the sum of 8 and 4
Expressing mathematically,
Sum of 8 and 4 is written as (8 + 4)
1/3 of the sum is expressed as ; 1/3 x (8 + 4)
Hence,
1/3 * (8 + 4)
1/3 * 12
= 4
Expression is 1/3 * (8 + 4)
Result = 4
Answer: a: -2, b: 0
Step-by-step explanation:
f(2) means that x=2, and we need to solve for y.
On the graph, it has a point of (2, -2) and since it's a function that is the only possible output. Therefore, f(2)=-2.
f(x)=-4 means that y=-4, and we need to solve for x.
On the graph, the point (0,-4) exists, and since the function contains only one output, it must be correct. Therefore, x=0.
Answer:
Step-by-step explanation:
basicallyi you want to find a common denominator before you add them up. the common denominator in this case would be 20, since it's the first common multiple all of them share
50/20 plus 72/20 plus 55/20
177/20 would be your answer
