Answer:
121 smokers
Step-by-step explanation:
This can be calculated as a simple rule of 3.
In these problems, the first step is identifying the measures in the problem. Then, we must identify whether their relation is direct or inverse.
When it is direct, as one measure increases, the other will increase too.
When it is inverse, as one measure increases, the other will decrease.
In this problem, the measures are the number of people over 12 that smoke, and the total number of people over 12. Their relation is direct, because as the number of people increases, the number of smokers will increase too.
So we must solve the following rule of three:
22 smokers - 100 people
x smokers - 550 people
x = 550*22/100
x = 22*5.5
x = 121 smokers.
So, in a group off 550 people over the age of 12, there are 121 expected smokers.
It is true that corresponding points must be an equal distance from the Line of reflection. This is because in cases of reflection, the image is far behind the mirror or line of reflection as the object is in front of the mirror. What this proposition means is, the distance from the object to the line of reflection is equal to the distance between the reflection line and the image. There sizes are bound to be equal to, and hence the two corresponding points will be similar.
Answer:
The fraction of horses that are Morgan's=17/20
Step-by-step explanation:
Step 1: Determine fraction for each breed
Arabians=1/4
Thoroughbreds=2/5
Morgan's=unknown
Step 2: Express each breed as a fraction of the total
Number of Arabians=fraction of Arabians×total number of horses
Let total number of horses be x
Arabians=(1/4)×x=1/4 x
Thoroughbreds=(2/5)×x=2/5 x
Morgans's=m
Step 3: Calculate fraction of Morgans
Total number of horses=Arabians+Thoroughbreds+Morgans
x=(1/4)x+(2/5)x+m
solve for m;
m=x-(1/4)x-(2/5)x
m=x-3/20x
m=17/20 x
The fraction of horses that are Morgan's=17/20
Get the slope of the line using the two known points:
slope = (7 3/4 - 6 1/4) / (1 1/4 - 3/4) = (1 2/4) / (2/4) = 3
Use the point-slope formula for a line to get the equation of the line. You can use any of the known points and the slope computed above. For example,
y - 6 1/4 = 3 (x - 3/4) ⇒ y = 3x + 16/4 = 3x + 4
Then for some given value of x, the third point has y-coordinate 3x + 4.
"Which values" suggests there may be more to the question, namely some list of answer choices. If you have something like that, just check if the above condition is met.
Step-by-step explanation:
why on here though LOL!?
