Y = 3/4x -4
The slope is 3/4 since it is written in the form y =mx+b where m is the slope
We want a line that is parallel so it will have the same slope
We know the slope of the new line (3/4) and a point (-1,7)
So we can use the point slope form of the equation
y-y1 = m(x-x1)
y-7 = 3/4(x--1)
y-7=3/4(x+1)
Answer:
8:6
Step-by-step explanation:
If 8 out of 14 students are boys then the remaining number of students must be girls
So
14-8= 6
There are 6 girls out of the 14
So as a ratio of boys to girls
8:6
Answer:
Distance = 500 miles
Step-by-step explanation:
<u>Step 1: Write the data of speed, distance and time for aeroplane and automobile.</u>
<em>Automobile:</em>
Speed = r
Time = 10 hours (3 am till 1 pm)
Distance = SxT
Distance = r x 10 = 10r
<em>Aeroplane:</em>
Speed = 200 + r (200 mph more than automobile)
Time = 2 hours ( 11 am till 1 pm)
Distance = SxT
Distance = 2x(200+r) = 400+2r
<u>Step 2: Equate both distances to find the value of r</u>
Distance of automobile = Distance of aeroplane
10r = 400 + 2r
8r = 400
r = 50
<u>Step 3: Find the distance using any one equation</u>
Distance of automobile = 10r
r = 50
Distance = 10 x 50 = 500 miles
Therefore, the plane travels 500 miles.
!!
The choices you provided do not match the question!!!
Tickets ($25): x
T-shirts ($12): y
25x + 12y + 4 ≤ 130
Since she bought 3 tickets: 25(3) + 12y + 4 ≤ 130
75 + 12y + 4 ≤ 130
79 + 12y ≤ 130
12y ≤ 51
y ≤ 
y ≤ 4
Since you cant buy of a T-shirt, the maximum number of T-shirts she can purchase is 4.
