84=42+ x/3
Answer:
Step-by-step explanation:
Mrs. Chipps buys 30 c + 50 r = $95
Mr. Meehan buys 40 c + 40 r = $116 x (-1.25) to eliminate r
30 c + 50 r = $ 95
-50 c - 50 r = $-145
-20 c = -50
c = 50 / 20
c = $2.5
substitute c = 2.5 into eq. 1
30 c + 50 r = $95
30 (2.5) + 50 r = 95
75 + 50 r = 95
50 r = 95 - 75
r = 20 / 50
r = 0.40
therefore, the individual costs of the compasses and rulers are:
compass = $ 2.50 each
ruler = $ 0.40 each
Answer:
I would say a 20, 30-ish degree angle, maybe 45 degrees, somewhere in that continuum
Answer-
The line equation is,
Solution-
The line meets x-axis at the point M, i.e M is the x-intercept of this line. At the x-intercept y=0, so
So, coordinate of M is
The line meets y-axis at point N, i.e N is the y-intercept of this line. At the y-intercept x=0, so
So, coordinate of N is
The line joining M and N can be found out by applying two point formula of straight line,
As it is given that all the coefficients are integers, so multiplying with 3
Solution: As given line y =3x-5 meet x-axis at the point M.
On x axis y coordinate is zero.
Put y =0 in above equation, we get →x = 5/3
∴ Coordinate of M is (5/3,0).
As, also given , line 3y+2x=2 meets y-axis at point N.
On y axis , x coordinate is zero.
Substituting , x=0 in above equation, gives y =2/3.
Coordinate of point N is (0,2/3).
Equation of line passing through two points (a,b) and (p,q) is given by
→
Or as X intercept = 5/3, and Y intercept = 2/3
Equation of line in intercept form is →, where a and b is X intercept and y intercept respectively.
So, line passing through (5/3,0) and (0,2/3) is given by
→
→
→ 6 x + 15 y =10 [Taking LCM of 5 and 2 which is 10]
→ 6 x + 15 y -10=0, which is equation of the line joining M and N in the form ax + by + c = 0 where: a,b,c are integers.
(100 + 4z)20