Answer:
18
Step-by-step explanation:
Look at all factors of 9 that are even; 18, 36, 54, 72, 90
Next divide 198 by those numbers and the only whole number is from 18.
9 x 2 = 18
198/18 = 11
3 and 18 | 12&18 GCF = 6; 8&24 GCF = 4; 1&3 GCF = 3
This is currently your equation since you do not know "b"
y = 2/3x + b
To find "b" you plug in the point (4,2) into the equation.
y = 2/3x + b
2 = 2/3(4) + b
2 = 8/3 + b (subtract 8/3 on both sides to get "b" by itself)
2 - 8/3 = b (make the denominators the same)
6/3 - 8/3 = b
-2/3 = b
So: y= 2/3x - 2/3
Answer:
x = 20
Step-by-step explanation:
These angles are vertical angles.
Vertical angles are congruent!! So we set them equal to one another.
2 + 3x = 62
-2 -2
3x = 60
---- ---
3 3
x = 20
Answer:
Fast car = 45.6
Slower car = 30.4
Step-by-step explanation:
Let the speed of the first car = x
Let the speed of the second car = y
Travelling towards each other.
x *1 + y*1 = 76 miles
x*5 - y*5 = 76 miles. This is kind of tricky. You have to understand that the first car that is 76 miles from the second car and makes up that 76 in 5 hours. The distance they both travel is subtracted out.
Divide by 5
x - y = 76/5
x - y = 15.2 The speeds differ by 15.2
x + y = 76
x - y = 15.2
2x = 91.2
x = 45.6
y = 76 - 45.6 = 30.4
When the two vehicles speeds are multiplied by 5, the difference is 76 km
