Answer:
a. 53.68
b. 53.53
Step-by-step explanation:
a. Step 1: Approximate the value for :
Since is close to (which is 8), this value can be approximated as a number that is less than but very close to 8. I chose 7.9.
The expression becomes 6(7.9)+2π
Step 2: Approximate the value for 2π
Since π is approximately 3.14, 2π is approximately 6.28.
The expression becomes 6(7.9)+6.28
Step 3: Use order of operations
6(7.9)+6.28=47.4+6.28=53.68
b. Step 4: If allowed, use a calculator to check how close your approximation is to the actual value
The approximation 53.68 is decently close to the actual value, so no minor math errors were made.
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
N=0.5/3
i'm like 90% sure if i'm wrong i'm sorry lol
if you look at it , some would say all the above but if you take a closer look at it the answer is C
Answer: multiply the diameter by 1/2 to get the radius
Step-by-step explanation: A diameter is a line across a circle at which its endpoints lie on the circle and travels through the center of the said circle, cutting the circle perfectly in half. The radius is the measurement from the sender of the circle to any given point on the circle and is always equidistant and congruent to other radii of the same circle. For this reason, the radius is always half the length of the diameter. Thus, to define the relationship between the two, multiplying the diameter by 1/2 would be the same as diving it by 2, giving you the radius of the circle.