In this item, we are to determine the equation that would allow us to express the given. If x is the number of barrels of water and y is weight, the points are:
(10, 98.4) and (20, 181.8)
To determine the equation of the line, we use,
y - y₁ = ((y₂ - y₁)/(x₂ - x₁))(x - x₁)
Substituting,
y - 98.4 = ((181.8 - 98.4)/ (20 - 10))(x - 10)
Simplifying,
y = 8.27x + 88.4
This problem can be solved by algebraic method.
Let
x = the total time spent of all clients in Plan A
y = the total time spent of all clients in Plan B
We represent two variables x and y because there are two plans that won't be happened simultaneously.
On Wednesday, the two workout plans have the total time of 6 hours. We equate
3x + 5y = 6
While on Thursday, the total time is 12 hours. We also equate
9x + 7y = 12
To find x and y, we can use the substitution method. For the first equation, we arrange it in terms of y, that is
5y = 6 - 3x
y = (6 - 3x)/5
Substitute it to the second equation:
9x + (7/5)(6 - 3x) = 12
9x + (42/5) - (21/5)x = 12
Multiply the equation by 5 to cancel the denominator:
45x + 42 - 21x = 60
45x - 21x = 60 - 42
24x = 18
x = 18/24 = 3/4 hours
For y:
3(3/4) + 5y = 6
9/4 + 5y = 6
Multiply the equation by 4 to cancel the denominator:
9 + 20y = 24
20y = 24 - 9
20y = 15
y = 15/20 = 3/4 hours
Hence, each workout plans are done within 3/4 hours (or 45 minutes).
Step-by-step explanation:
the easiest way to answer this is to calculate the area of the large rectangle (white) and subtract the area of the small rectangular (black).
we know the dimensions of the small rectangle : 10×6
and because of the 2m thick "frame" we know the dimensions of the large rectangle by adding 2×2 m to every small dimension : 14×10
(2 m on the top and the bottom, and 2 m left and right, so 4 m added in every direction).
the area of the large rectangle is
14 m × 10 m = 140 m²
the area of the small rectangle is
10 m × 6 m = 60 m²
so the area of the path is
140 - 60 = 80 m²
since the length and width are the same, it is actually a square
area of a square is S^2
sqrt(128) = 11.3137
round off as needed
I write the answer and it says it’s incorrect
