Hello there! We are looking for the amount of total sales. To find the amount of total sales, we can write and solve a proportion. Set it up like this:
180/x = 3/100
We do this, because 180 is part of the whole, 3% is a part of 100%. This proportion will help us get to the correct answer. Let's cross multiply. 180 * 100 is 18,000. 3 * x is 3x. that makes 18,000 = 3x. Now, divide each side by 3 to isolate the x. 3x/3 cancels out. 18,000/3 is 6,000. Let's check this. 6,000 * 3% (0.030 is 180. 180 = 180. There. x = 6,000. The amount of sales is $6,000.
Answer:
1.6 laps per minute
Step-by-step explanation:
Explanation: In terms of number of laps per minute, the answer is 20 laps12.5 minutes=1.6 laps per minute.
Answer:
Base=8.4 inches
Step-by-step explanation:
Area of triangular bandana is 38sq inches
Height of triangle is 9 inches
Area of ∆ =½×b×h
38=½×b×9
38×2=b×9
76/9=b
b=8.4 inches
Answer:
x^2 - 2x + 5 = 0.
Step-by-step explanation:
The (0, 5) is the point where the parabola passes through the y axis (where x = 0), so we can write the equation as
y = ax^2 + bx + 5 where a and b are constants to be found.
Also, since (1, 4) and (2, 5) are points on the curve, substituting, we have the system:
a(1)^2 + 1b + 5 = 4
a(2)^2 + 2b + 5 = 5
Simplify these 2 equations:
a + b = -1 .................(1)
4a + 2b = 0..................(2)
Multiply the first equation by -2:
-2a - 2b = 2 .................(3)
Add (2) + (3):
2a = 2
a = 1.
Substitute a = 1 into (2):-
4*1 + 2b = 0
2b = -4
b = -2.
