We can set up a system of equations to solve this.
120b + 90d = 270
60b + 110d = 265
To cancel out b, first make the b terms equal.
60b · 2 + 110d · 2 = 265 · 2
120b + 220d = 530
Now subtract the equations.
120b + 90d = 270
-120b + 220d = 530
---------------------------
-130d = -260
Solve for d.
-130d/-130 = -260/-130
d = 2
Now put the value of d in one of the equations.
60b + 110d = 265
60b + 110 · 2 = 265
60b + 220 = 265
60b + 220 - 220 = 265 - 220
60b = 45
60b/60 = 45/60
b = 0.75
Each candy bar sells for $0.75
Hope this helps! :)
Y= mx+b
(16, -7) = (x,y)
2(16) - 3y = 12
32 - 3y = 12
32 - 12 = 3y
20/3 = y
6.6 = y
2x-3(-7) = 12
2x+21 = 12
2x = 12 - 21
x = -9/2
Insert the values into y = mx + b
solve for m and then solve for b
Answer:
9 cm
Step-by-step explanation:
Given that angle Y = 90 means that the triangle is a right angle triangle
If angle X = 30 degrees and xz =18 cm
xz is the hypotenuse side while zy is the opposite side considering the angle at X
Hence using the notation SOH CAH TOA
SOH
Sin X = zy/xz
Substituting
Sin 30 = zy/18
cross multiply
zy = 18 sin 30
zy = 18 * 0.5
= 9 cm
(0,1) is the y intercept because the point (0,1) lies on the y axis.
