Answer:
(5, 8), (7, 1), (15, 3)
Step-by-step explanation:
a) The variables are defined in the problem statement. The total expenditure must satisfy ...
2.00x +3.50y ≤ 42.00
b) Possible solutions include ...
(x, y) ∈ {(5, 8), (7, 1), (15, 3)}
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These were chosen by looking at the attached graph of the equation.
1 ? mark is 4 as well as the sencond question mark
Third question mark is 200
The last one is 232
Answer:
a = 0.5 or 1/2
b = 19/4 or 4.75
Step-by-step explanation:
Step 1: Isolate <em>x</em>'s
x² - x = -5
Step 2: Complete the Square
x² - x + 1/4 = -5 + 1/4
(x - 1/2)² = -19/4
Step 3: Move everything to one side
(x - 0.5)² + 4.75
<span>In order to meaningfully compare the distance per unit of fuel, we need to convert one set of measurements into the same units as the other set of measurements. Doesn't matter if we convert miles per gallon to kilometers per liter or visa versa. So let's convert 32 miles per gallon to kilometers per liter.
32 mile/gal * 1.60934 km/mile / 3.78541 L/gal = 13.60457124 km/L
And since 13.6 km/L is better than 12.7 km/L, the American car gets better gas mileage than the European car.
To demonstrate that it didn't matter which we converted, let's do the problem again, except this time we'll convert from km/L to miles/gal. So
12.7 km/L / 1.60934 km/mile * 3.78541 L/gal = 29.87231225 mile/gal
And once again, 32 mile/gal is higher than 29.9 mile/gal. So the American car still has better gas mileage.</span>
Answer:
10
Step-by-step explanation:
10 is the greatest common factor of 20 and 30