Answer:
A
Step-by-step explanation:
A graph that represents a proportional relationship usually has the line cutting through the line of origin (0, 0).
The graph in option A does not have the line passing through the point of origin (0, 0), therefore, it does not represent a proportional relationship.
For an equation that represents a proportional relationship, it is written in the form of y = kx
Where, k is the constant of proportionality.
Therefore, the two equations given represents a proportional relationship.
Answer:
D
Step-by-step explanation:
Slope = (y2 - y1) / (x2 - x1)
= (2 - 0) / (0 - (-3)
= 2/3
Y intercept 2
x = -38/9 !!!
27(x+4)=−6
Step 1: Simplify both sides of the equation.
27(x+4)=−6
(27)(x)+(27)(4)=−6 (Distribute)
27x+108=−6
Step 2: Subtract 108 from both sides.
27x+108−108=−6−108
27x=−114
Step 3: Divide both sides by 27.
27x/27=−114/27
x=−389
Answer: Box3 has 120 oranges.
Box1 has 150 oranges.
Box has 130 oranges.
Step-by-step explanation:
I will answer this in English.
The question says:
3 boxes have 400 oranges.
The first one has 20 more than the second and 30 more than the third.
So we have 3 equations:
box1 + box2 + box3 = 400
box1 = box2 + 20
box1 = box3 + 30
Now, we can take the variable box1 in the third equation and replace it on the other two.
box3 + 30 + box2 + box3 = 400
box3 + 30 = box2 + 20
Now we can isolate one of the variables in the second equation, let's isolate box2.
box2 = box3 + 30 - 20 = box3 + 10
now we can replace it in the other equation:
box3 + 30 + box2 + box3 = 400
box3 + 30 + box3 + 10 + box3 = 400
3*box3 + 40 = 400
3*box3 = 400 - 40 = 360
box3 = 360/3 = 120.
Box3 has 120 oranges.
Box1 has 120 + 30 = 150 oranges.
Box has 150 - 20 = 130 oranges.
Width be X, length is X+15
area of garden = x(x+15)
area of sidewalk = x(x+15) - (x-4)(x+11) = 632
X^2 + 15X - X^2 - 7X + 44 = 632
8X = 632-44 =588
X= 73.5 >> WIDTH and LENGTH = 88.5
HOPE IT HELPED
