To get the solution, we are looking for, we need to point out what we know.
<span>1. We assume, that the number 150 is 100% - because it's the output value of the task. </span>
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 150 is 100%, so we can write it down as 150=100%. </span>
<span>4. We know, that x is 16% of the output value, so we can write it down as x=16%. </span>
5. Now we have two simple equations:
1) 150=100%
2) x=16%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
150/x=100%/16%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 16% of 150
150/x=100/16
<span>(150/x)*x=(100/16)*x - </span>we multiply both sides of the equation by x
<span>150=6.25*x - </span>we divide both sides of the equation by (6.25) to get x
<span>150/6.25=x </span>
<span>24=x </span>
x=24
<span>now we have: </span>
<span>16% of 150=24</span>
F(x) = x+4
f(4) = 8, f(5) = 9
Change = 1
f(x) = 3x-7
f(-3) = -16, f(5) = 8
Change = 24/8 = 3
f(x) = 9x+1
f(-5) = -44, f(-2) = -17
Change = 27/3 = 9
f(x) = 2x+9
f(1) = 11, f(2) = 13
Change = 2
In order: f(x) = 9x+1, f(x) = 3x-7, f(x) = 2x+9, f(x) = x+4
That has a y intercept at y=-1. For every one block to the right we go three blocks up, so that's a slope of 3/1=3. So in slope-intercept form our equation is
y = 3 x - 1
Answer: third choice
Answer:
$21.80
Step-by-step explanation:
50% of 38 is 19. 10% of 38 is 3.8. Add these together to get 21.8. This equates to $21.80.
Answer:
m∠BCD = 140°
Step-by-step explanation:
ABCD is cyclic quadrilateral. A property of cyclic quadrilateral states that the opposite angles of it sum up to 180°. Here:
m∠A + m∠C =180° and m∠B + m∠D = 180°
So, m∠A + m∠C =180°
m∠A = 40° (given in the question)
40° + m∠C = 180°
m∠C = 180° - 40° = 140°
∴m∠C = m∠BCD = 140°