Answer:
About 95 miles
Step-by-step explanation:
Let's set up a proportion using the following set up:
miles / gallons = miles / gallons
We know the car can travel 38 miles on 2.4 gallons of gas.
38 miles / 2.4 gallons = miles/ gallons
We don't know how far the car can travel on 6 gallons. Therefore, we can say the car travels x miles on 6 gallons of gas.
38 miles / 2.4 gallons = x miles /6 gallons
38/2.4=x/6
We want to find x (miles for 6 gallons). Therefore, we must isolate x.
x is being divided by 6. The inverse of division is multiplication. Multiply both sides by 6.
6*(38/2.4)=(x/6)*6
6*(38/2.4)=x
6*15.8333333=x
94.9999998=x
Let's round to the nearest whole number. The 9 in the tenth place tells us to round up.
95 ≈x
x ≈95 miles
The car can travel about 95 miles on 6 gallons of gas.
Answer:
The slope is negative.
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-5, 19)
Point (-1, 7)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Simplify:
- Subtract/Add:
- Divide:
Answer:
12.56
Step-by-step explanation:
The formula for circumference is either πr² πd. Thats basically just multiplying. All you have to do is take the the diameter and multiply it times pi and you get the answer. In some cases they want you to use the radius; radius is diameter divided by 2. Example is if 4 is the diameter 2 is the radius. For this one i did 4 times 3.14(pi).
I hope that helps!
Answer:
x = 27.2
Step-by-step explanation:
Apply trigonometric function to solve for x.
Reference angle = 54°
Side length opposite to reference angle = 22
Hypotenuse = x
We would apply SOH:
Sin 54 = Opp/Hyp
Sin 54 = 22/x
x*sin 54 = 22
x = 22/sin 54
x = 27.1934955 ≈ 27.2 (nearest tenth)
