Answer: 16.6
Step-by-step explanation:
a = slope = 0.6
b = y-intercept = -4
c = x intercept = 20/3. (Set y=0 and solve for x)
So, a+b+3c = 0.6 - 4 + 3*20/3 = 16.6
Answer:
Check the attached document for the solutions, cheers
Step-by-step explanation:
3x greater than or equal to 20
3x = 20
X= 7 games for the pass to be better
3(7)=21
Answer:
6.36 years (the .36 repeats), so rounded is 6.4.
Step-by-step explanation:
First, I'm going to convert all measurements to meters.
Since 1000 mm = 1 m, divide 44 by 1000.
44/1000 = 0.044 m
Since 100 cm = 1 m, divide 72 by 100.
72/100 = 0.72 m
Next, I'm going to setup an equation using y = mx + b.
b is the beginning amount which is 0.72.
m in the equation represents the rate which is 0.044.
y represents the total which is 1.
Plugin the numbers and solve for x.
1 = 0.044x + 0.72
1 - 0.72 = 0.044x + 0.72 - 0.72
0.28 = 0.044x
0.28/0.044 = 0.044x/0.044
6.36 = x
Answer: the cost per unit of gas is $0.38
Step-by-step explanation:
Let x represent the cost per unit of electricity.
Let y represent the cost per unit of gas.
During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of $344. It means that
600x + 100y = 344- - - - - - - - - -1
The next month, 400 units of electricity and 250 units of gas were used for a total cost of $299.
It means that
400x + 250y = 299- - - - - - - - - -1
Multiplying equation 1 by 400 and equation 2 by 600, it becomes
240000x + 40000y = 137600
240000x + 150000y = 179400
Subtracting, it becomes
- 110000y = - 41800
y = - 41800/- 110000
y = 0.38
Substituting y = 0.38 into equation 1, it becomes
600x + 100 × 0.38 = 344
600x + 38 = 344
600x = 344 - 38 = 306
x = 306/600
x = 0.51
