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liraira [26]
3 years ago
5

An american car travels 32 miles on one gallon of gas. A European car travels 12.7 kilometers on one liter of gas. Which car get

s better gas mileage? Explain your reasoning.
Mathematics
1 answer:
sp2606 [1]3 years ago
8 0
<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>
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A circle is represented by the equation below: (x + 8)2 + (y − 3)2 = 100 Which statement is true?
ss7ja [257]

Answer:

The circle is centered at (-8,3) and has a diameter of 20 units

Step-by-step explanation:

we know that

The equation of a circle in center radius form is equal to

(x-h)^2+(y-k)^2=r^2

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem we have

(x+8)^2+(y-3)^2=100

so

The center is the point (-8,3)

The radius is r=\sqrt{100}=10\ units

so

The diameter is two times the radius

D=2(10)=20\ units

therefore

The circle is centered at (-8,3) and has a diameter of 20 units

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Solve the inequality and graph the solution. −0.8b + 2.3 ≥ 8.7
zlopas [31]

The solution of the inequality is -8 ≥ b, and the correct graph is the one in option D.

"number line with a closed circle plotted at negative eight and arrow pointing left."

<h3>How to solve the inequality?</h3>

Here we have the inequality:

-0.8*b + 2.3  ≥ 8.7

And we want to solve this, to do so, we need to isolate the variable b in one of the sides of the inequality.

-0.8*b + 2.3  ≥ 8.7

2.3 - 8.7 ≥ 0.8*b

-6.4  ≥ 0.8*b

-6.4/0.8  ≥ b

-8 ≥ b

So the solution is the set of all numbers equal to or smaller than -8, then the correct graph will be the one described by D.

Learn more about inequalities:

brainly.com/question/24372553

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