Answer:
Yes lines are intersecting, point of intersection is <4,2,0>.
Step-by-step explanation:
Given parametric equations of line are:
If lines are intersecting then parametric coordinates of (1) are equal to (2)
Considering A and B to find values of t and s
From A
t=4s-3---(D)
Putting in (B)
2(4s-3)=1+s
8s-6=1+s
7s=7
s=1
Then
t=4-3
t=1
If lines are intersecting then these values of s and t must satisfy (C)
2-2(1)=1-1
0=0
This shows lines are intersecting.
At this value of t, (1) becomes
Putting s=1 in (2)
Point of intersection is <4,2,0>.
80% of 860 is 688
860 x 0.8 =
688
I don’t understand please put it in a form i could possibly understand
1) change 65% to a decimal = .65
2) .65 • 60 = 37.2 questions need to be right
3) since she got 42 correct, that is greater than 37.2, so she passed.
OR
1) 42/60 = 0.7
2) 0.7 to a percent = 70%
3) since she got a 70% on the test, she passed.
Answer:the fraction of the total parade vehicles that are motorcycles is 2/9
Step-by-step explanation:
Let x represent the total number of parade vehicles.
Two thirds of the parade vehicles were vintage vehicles. This means that the total number of vintage vehicles would be
2/3 × x = 2x/3
1⁄3 of the vintage vehicles were motorcycles. This means that the total number of motorcycles would be
1/3 × 2x/3 = 2x/9
Therefore, the fraction of the total parade vehicles that are motorcycles would be
2x/9/x = 2/9