Answer:
is the system of equations representing the situation.
Step-by-step explanation:
Given:
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.
Now, to find the system of equations representing the situation.
<u><em>Let the number of haircuts be </em></u>
<u><em /></u>
<u><em>Let the number of hair dyes be </em></u>
<u><em /></u>
So, Alexandra can give 3 haircuts and 2 hair dyes in:
Now, giving 2 haircuts and 4 hair dyes in:
Therefore,
is the system of equations representing the situation.
Answer: x = 20
Step-by-step explanation:
Sine when two lines intersect then we obtained two pairs of congruent vertically opposite angles,
Here, 3x + 50 and 6x - 10 are vertical opposite angles made by the intersection of lines,
⇒ 3 x + 50 = 6 x - 10
⇒ 3 x = 6 x - 10 - 50
⇒ 3 x - 6 x = -60
⇒ - 3 x = - 60
⇒ x = 20
Hence, the value of x is 20.
Answer:
∠ U = 70°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
120° is an exterior angle of the circle , then
∠ U + 50° = 120° ( subtract 50° from both sides )
∠ U = 70°
Answer:
1) h(t) = -5(t-3)^2
2) The ball reaches the highest point at 3 seconds.
Step-by-step explanation:
OK. So for this question, I recommend to rewite using vertex form since the answer is given in a more concise manner than using factored.
First Step:
h(t) = -5t^2+30t
= -5(t^2-6t)
= -5(t^2-6t+9)+45
= -5(t-3)^2+45
Second Step:
The vertex form reveals the vertex to be at (3, 45).
Therefore, the ball reaches the highest point at 3 seconds.
Answer:
1/36
Step-by-step explanation:
There's only 1 way to get the sum of 2.
1,1
