Answer:
1) y=⅚x -2⅓
2) y=8/3x -5
Step-by-step explanation:
<u>Point-slope form:</u>
y=mx+c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient.
Gradient of given line= 
Thus, m=⅚
Susbt. m=⅚ into the equation,
y= ⅚x +c
Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.
When x=4, y=1,
1= ⅚(4) +c

Thus the equation of the line is
.
The gradients of perpendicular lines= -1.
Gradient of given line= -⅜
-⅜(gradient of line)= -1
gradient of line
= -1 ÷ (-⅜)
= -1 ×(-8/3)
= 

When x=3, y=3,

Thus the equation of the line is
.
Answer:
When x=8, y=-6. When x=10, y=0
Step-by-step explanation:

You can plug the given y value into the second equation to get:

Hope this helps!
Answer:
StartFraction 25 divided by 1 Over 20 divided by 1 EndFraction = StartFraction 25 Over 20 EndFraction
Step-by-step explanation:
Number of trees = 25
Percentage of aok trees = 20%
To obtain the Number of oak trees :
(Number of trees ÷ 1) ÷ (percentage ÷1)
(25 / 1) ÷ (20 / 1) = (25 /1) * (20 / 1) = 25 / 20
StartFraction 25 divided by 1 Over 20 divided by 1 EndFraction = StartFraction 25 Over 20 EndFraction
Answer:
C & D
Step-by-step explanation:
You can do these two ways. You can multiply the cost of the the shirt by 15% (.15 as a decimal.) and then subtract that answer from the original price of the shirt to get the sales price of the shirt.
You can also multiply the price of the shirt by 85% (.85 as a decimal) and that will give you the sales price without having to subtract. 15% + 85% = 100%, so 85% represents the sales price of the shirt.
Anyway, since you multiply, you can eliminate choice A & B.
Since the direction in the question says to select all that apply, I would check both C & D.
C is the equation of the first way I talked about- Price - 15% * price
C p - 0.15p
D is the equation of the second way I talked about. Price times 85%
D 0.85p
"(44 – x)35 + (88 – 44) ∙ 46 = C" is the one equation among the following choices given in the question that can be used to <span>find the value of x, where C represents the total amount of money collected from tickets that day. The correct option among all the options that are given in the question is the third option.</span>