Answer:
k = 5
Step-by-step explanation:
Since the quantities are in direct proportion then the equation relating them is
y = kx ← k is the constant of proportion
The y- axis is number of cups and x- axis is pounds of sugar
To find k use any of the 5 points highlighted on the graph
Using (8, 40 ), then
40 = 8k ( divide both sides by 8 )
5 = k
Answer:
<em>Sam is 30 years old, and Harry is 10 years old.</em>
Step-by-step explanation:
Let us assume that the age of Sam is x and the age of Harry is y.
Sam is currently is three times Harry's age.
So, 
----------------------1
Sam's age is also 10 more than twice Harry's age.
so, 
---------------2
Subtracting 2 from 1, we get
putting this in equation 1,
Therefore, Sam is 30 years old, and Harry is 10 years old.
Answer:
The question is incomplete, here is the complete question.
Year Real GDP per Capita
1985 6,000
1986 6,300
1987 6,700
1988 7,200
1989 7,850
1990 8,250
1991 8,450
1992 8,550
1993 8,575
1994 8,510
1995 8,370
1996 8,100
1997 7,950
1998 7,925
1999 7,960
2000 8,035
2001 8,155
The information above describes the real GDP per capita for a country for the period from 1985 through to 2001. If a new business cycle began in 1985, how long was this cycle? In which year did the peak occur? The trough occurred in which year? How long was the expansion? How long was the recession?
Step-by-step explanation:
a.If a new business cycle began in 1985, how long was this cycle?
The business cycle describes the rise and fall in production output of goods and services in an economy. In the data given above, a business cycle is complete in the year 1998. If the cycle started in 1985 then it was 14 years long.
b. In which year did the peak occur? The trough occurred in which year?
In the data given above, the peak occured in year 1993 (GDP per capita of 8,575) and trough occurred in the year 1998 (GDP per capita of 7,925).
c. How long was the expansion? How long was the recession?
Expansion was 9 years long (1985-1993) and recession was of 5 years (1994-1998).
Right now you have a/3 = 7. You cannot know what a is yet because it is being divided by 3.
You just need to figure out a way of getting rid of that 3 so you just have a by itself. The way you can get rid of the 3 is by multiplying a/3 by 3, as that will just leave you with a (multiplying is the opposite of dividing so it cancels out).
However, as you’re multiplying a/3 by 3, you also have to multiply 7 by 3 (which is 21) as you have to do the multiplication on both sides of the equation.
Therefore, you’re left with a = 21
