At constant acceleration the equation is
v = u + at where u = initial speed, a = acceleration. t = time and v = final speed
So here we have 18 = 0 + 7t
t = 18/7 = 2.6 seconds ( to nearest tenth)
Test
remember, (x,y)
A.
10=-3(-2)+4
10=6+4
10=10
yep, this is a soltuion
B.
5=-3(3)+4
5=-9+4
5=-5
false, not a solution
C.
4=-3(-2)+4
4=6+4
4=10
nope, not a solution
D.
1=-3(1)+4
1=-3+4
1=1
true
hmm, I think if B was (3,-5) then C is the only one
C is the answer
Answer:
see explanation
Step-by-step explanation:
since the dilatation is centred at the origin , then multiply each of the coordinates of A, B, C by the scale factor 2, that is
A' = (2(- 2), 2(- 2) ) = A'(- 4, - 4 )
B' = (2(1), 2(- 1) ) = B'(2, - 2 )
C' = (2(2), 2(0) ) = C'(4, 0 )
Answer:
25$
Step-by-step explanation:
105% is 105$
So, 100% is 100$, (the ticket fees without the service charge)
100$ / 4 tickets = 25$ per ticker
32 students choose a favorite topping for their slices.
Let x be the total number of students.
1/2 of the total students, or 1/2x, choose pepperoni.
1/4 of the total students, or 1/4x, choose extra cheese.
1/8 of the total students, or 1/8x, choose sausage.
4 students choose mushrooms.
We know that together, these equal the total number of students, x:
1/2x+1/4x+1/8x+4=x
We will use 8 as the common denominator:
4/8x+2/8x+1/8x+4=x
Combining like terms:
7/8x+4=x
Subtract 7/8x from both sides:
7/8x+4-7/8x=x-7/8x
4=1x-7/8x
4=1/8x
Divide both sides by 1/8:
4÷(1/8) = 1/8x÷(1/8)
4/1÷(1/8) = x
4/1×8/1 = x
32/1 = x
32 = x
