Answer:
150 m
Step-by-step explanation:
So the scale of the model is 1 cm = 5 m, and the model is 30 cm long. We can set this up as two fractions, then cross-multiply, like so:
1 cm/30 cm = 5 m/x m
1 * x = x
30 * 5 = 150
Now, set the two products equal to each other. Normally we'd have to simplify, but x is already on its own, so we have our answer:
x = 150 m
c (cost)
m (month)
c= xm + b
$424.20= 24.95m+ $49.95
Move everything except variable on one side.
424.20 - 49.95 = $374.24
$374.25 = 24.95m
Divide by 24.95
m = 15
15 Months
Answer:
A. 2 and 3
Step-by-step explanation:
The square root of 7 is 2.7 which makes it between 2 and 3.
It’s a little surprising that this question didn’t come up earlier. Unfortunately, there’s no intuitive way to understand why “the energy of the rest mass of an object is equal to the rest mass times the speed of light squared” (E=MC2). A complete derivation/proof includes a fair chunk of math (in the second half of this post), a decent understanding of relativity, and (most important) experimental verification.
Answer:
The answer is below
Step-by-step explanation:
Plotting the following constraints using the online geogebra graphing tool:
x + 3y ≤ 9 (1)
5x + 2y ≤ 20 (2)
x≥1 and y≥2 (3)
From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).
We need to minimize the objective function C = 5x + 3y. Therefore:
At point A(1, 2): C = 5(1) + 3(2) = 11
At point B(1, 2.67): C = 5(1) + 3(2.67) = 13
At point C(3, 2): C = 5(3) + 3(2) = 21
Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.
