<span>3(2t + 5) = 5t + 25
6t + 15 = 5t + 25
6t - 5t = 25 - 15
t = 10</span>
Answer:
4 miles
Step-by-step explanation:
In order to find how many miles the car will travel in 0.5 hours, we can set up a proportion.
We can now cross multiply to find the value of x.
So the car can travel 4 miles in 0.5 hours.
Hope this helped!
Answer:
Step-by-step explanation:
∠A = arctan(33/43) ≈ 37.5°
AB = √(43² + 33²) = √2938
Law of Sines
∠C = arcsin(sinA ⋅ AB/BC) ≈ 34.7°
Larger Number: L
Smaller Number: L-9
Larger Number + Smaller Number = 45
L + L - 9 = 45
2L = 54
L = 54/2
L = 27
Smaller Number = L - 9
27 - 9 = 18
Check. .. 27 + 18 = 45. CORRECT!
Larger Number is 27
Smaller Number is 18
The "line of best fit" is the result of a linear regression computation. If you have done that, you already know its equation.
If you have "eye-balled" the line into place, then you have to figure out its equation from points you read on the graph. We take a couple of the points to be ... (2001, 1700) and (2010, 2450)
The line through these points will have the equation
... y = (2450 -1700)/(2010 -2001)(x -2001) +1700
... y = (250/3)(x -2001) +1700
Putting x=2013 into this equation, we get ...
... y = (250/3)(2013 -2001) +1700
... = (250/3)(12) +1700
... y = 2700
The population is predicted to be 2700 in 2013.
_____
Had you drawn your graph with a vertical grid line at 2013, you could have read the number from the graph.
