Answer:
x = 4
Step-by-step explanation:
We have the algebraic expression 3x + 16 = 7x and are asked to solve.
When we need to solve for x, we need to get x alone always.
So 3x + 16 = 7x.
Subtract 3x from both sides :
16 = 4x
Divide 4 from both sides :
x = 4
Answer:
I think its 5%
12/240=0.05
0.05=5%
Sorry if its wrong I haven't studied about percentages yet in school
Answer:
21 words per minute
Step-by-step explanation:
1 hour = 60 mins
=> 1260 ÷ 60 = 21 words per min
Answer:
It helps you see the visual move of what you were doing. If you weren't moving anything it would help you see if it is true or false. Say you put a dot on the origin (0,0), then you have to go (x+7,y+3) then moving it on a graph would help show you. So overall it's a visual help to people.
Answer:
C. Ari and Matthew collide at 4.8 seconds.
Explanation:
Ari and Matthew will collide when they have the same x and y position. Since Ari's path is given by
x(t) = 36 + (1/6)t
y(t) = 24 + (1/8)t
And Matthew's path is given by
x(t) = 32 + (1/4)t
y(t) = 18 + (1/4)t
We need to make x(t) equal for both, so we need to solve the following equation
Ari's x(t) = Matthew's x(t)
36 + (1/6)t = 32 + (1/4)t
Solving for t, we get
36 + (1/6)t - (1/6)t = 32 + (1/4)t - (1/6)t
36 = 32 + (1/12)t
36 - 32 = 32 + (1/12)t - 32
4 = (1/12)t
12(4) = 12(1/12)t
48 = t
It means that after 48 tenths of seconds, Ari and Mattew have the same x-position. To know if they have the same y-position, we need to replace t = 48 on both equations for y(t)
Ari's y position
y(t) = 24 + (1/8)t
y(t) = 24 + (1/8)(48)
y(t) = 24 + 6
y(t) = 30
Matthew's y position
y(t) = 18 + (1/4)t
y(t) = 18 + (1/4)(48)
y(t) = 18 + 12
y(t) = 30
Therefore, at 48 tenths of a second, Ari and Mattew have the same x and y position. So, the answer is
C. Ari and Matthew collide at 4.8 seconds.