Answer:
x = 13.5
Step-by-step explanation:
direct variation
y = kx
substitute x and y to find k
8 = k*6
divide by 6
8/6 =k
4/3 = k
y = 4/3 x
now put in y =18
18 = 4/3 x
multiply by 3/4
18 * 3/4 = 3/4 * 4/3 x
54/4 = x
change to a decimal
13.5 =x
Answer:
10. y=2x+1 y = -1/2x +1
11. y=-1/3x +6 y = 3x -4
12. y=-5x-18 y=1/5x + 14/5
Step-by-step explanation:
To write the equation of a line we must have a slope and a point. To find the slope, we use the slope from the equations for parallel lines and modify it for perpendicular lines.
10. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope here is 2. The parallel slope is 2 and the perpendicular slope is the negative reciprocal or -1/2.
Parallel Perpendicular
(y-1)=2(x-0) (y-1)==-1/2(x-0)
y-1=2x y-1 = -1/2 x
y=2x+1 y = -1/2x +1
11. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope here is -1/3. The parallel slope is -1/3 and the perpendicular slope is the negative reciprocal or 3.
Parallel Perpendicular
(y-5)=-1/3(x-3) (y-5)=3(x-3)
y-5=-1/3x+1 y-5 = 3x - 9
y=-1/3x +6 y = 3x -4
12. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope here is -5. The parallel slope is -5 and the perpendicular slope is the negative reciprocal or 1/5.
Parallel Perpendicular
(y-2)=-5(x--4) (y-2)=1/5(x--4)
y-2=-5(x+4) y-2 = 1/5(x +4)
y-2=-5x -20 y-2 = 1/5x +4/5
y=-5x-18 y=1/5x + 14/5
Answer:
0.41791
Step-by-step explanation:
let x be the number written to the thousandth place then,
x times thousands = 417.91
or, x = 417.91/1000
therefore, x = 0.41791
and so
0.41791 thousand = 417.91
Answer: 4, 1
Step-by-Step Explanation:
Let the First Number be ‘x’
Let the Second Number be ‘y’
Framing 2 Equations :-
=> 3x + 2y = 14 (Eq. 1)
=> 2x - y = 7 (Eq. 2)
Multiplying Eq. 2 by 2 :-
=> 4x - 2y = 14 (Eq. 3)
Adding Eq. 1 and Eq. 3 we get :-
7x = 14 + 14
7x = 28
x = 28/7
=> x = 4
Therefore, x = 4
Substitute value of ‘x’ in Eq. 1 :-
3x + 2y = 14
3(4) + 2y = 14
12 + 2y = 14
2y = 14 - 12
2y = 2
y = 2/2
=> y = 1
Therefore, y = 1
Hence,
First Number = 4
Second Number = 1
<h3>Zara earned $ 134 on friday including commission</h3>
<em><u>Solution:</u></em>
Given that,
zahra earns $80 each day plus a 6% commission on her sale at an appliance store
zahra has $900 in sales
<em><u>Find the commission amount</u></em>
commission amount = 6 % of 900
Zara earnings including commission amount = 80 + 54 = 134
Thus Zara earned $ 134 on friday including commission
