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
5.65 in a mixed number is 5 13/20
Answer:
c²(1 + 3d)
Step-by-step explanation:
The sum of square of c and d is;
c² + d
Twice the product of c and d is;
2c²d
Because c² + d is increased by 2c²d the algebraic expression becomes;
c² + d + 2c²d
or
c²(1 + 3d)
Answer:
The answer is 4.
Step-by-step explanation:
To find the mean absolute deviation of the data you provided, you need to find the mean first. You add all the points together to get 138. Then you divide that number by how many points there are which there are 6 points so you divide 138 by 6 to get 23. Then you calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Once you add up all the numbers to get 24, you divided them by how many points there are which is 6 again. You should get 4 in the end.
Hope that helps. =)
