Equation (A) C= 1.46n shows the relationship between the total cost of gasoline, c, and the number of gallons purchased, n.
<h3>
What is an equation?</h3>
- An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.
- The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.
To find the right equation:
- In order to find the constant rate, we would divide 23.36/16 which gives you 1.46.
- That is the price of 1 gallon which would change depending on the amount of falling a purchased (n) and give you the total price of (C).
- So, C=1.46n
Therefore, equation (A) C= 1.46n shows the relationship between the total cost of gasoline, c, and the number of gallons purchased, n.
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The complete question is given below:
The total cost of gasoline varies directly with the number of gallons purchased. Kathy pays $23.36 for 16 gallons of gasoline. Which equation
shows the relationship between the total cost of gasoline, c, and the number of gallons purchased, n?
A.C= 1.46n
B. n = 1.46c
C.C = 23.361
D. n = 23.36c
I'm pretty sure it's b but if I'm wrong sorry
I didnt make a mistake
this is the answer
29<span>, </span>31<span>, 37, 41, 43, 47</span>
Answer: x = 1, y = -2
Step-by-step explanation:
-9x+2y=-13
x= 13/9 + 2/9y
2x-9y=20
2(13/9+2/9y)-9y=20
<em>Substitute y with -2.</em>
<em />
x= 13/9+2/9(-2)
<em>After solving you'll see that 1 is a possible solution for x.</em>
<em />
Check your answer
-9x+2y=-13
-9x1+2(-2) = -13
2x-9y=20
2x1-9(-2) = 20
-13 = -13
20 = 20
Therefore, x=1 and y=-2
What is the MA of a 1st class lever?It can be any number > 0.What is the MA of a 2nd class lever?Always > 1What is the MA of a 3rd class lever?Always < 1 (it has to be > 0)A 58-tooth gear turns five times. It is connected to a 16-tooth gear. How many times does the 16-tooth gear turn?<span>TONO = TINI
TO = TINI ÷ NO
= 5 turns . 58 teeth ÷ 16 teeth
= 18.13 turns</span>A ramp with a mechanical advantage of 6.75 lifts objects to a height of 2.45 meters. How long is the ramp?<span>L = MAxH
= 6.75 . 2.45 m
= 16.54 m</span>A 65-tooth output gear is connected to a 24-tooth input gear. What is the MA of this system? Is force or speed multiplied?<span>MA = No ÷ Ni
= 65 teeth ÷ 24 teeth
= 2.71
Force is multiplied since MA > 1</span>A ramp that is 13.2 meters long is used to lift a 755 newton box up to a height of 1.11 meters. What is the MA of the ramp?<span>MA = L ÷ H
= 13.2 m ÷ 1.11 m
= 11.89</span>A lever can lift a 358 newton rock with a force of 93 newtons. If the length of the output arm is 1.45 meters, what is the length of the input arm?<span>MA = OF ÷ IF
= 358 N ÷ 93 N
= 3.85
IA = MAxOA
= 3.85 . 1.45 m
= 5.58 m</span>List the 7 types of simple machinesLever, pulley, wheel & axle, screw, wedge, ramp, gearDraw a pulley system with an MA of 3Look at the middle pictureDraw 2 different ramps. Mark the one with a greater MA with a star. How do you know it has the greatest MA?A has the greatest mechanical advantage since it is the most gently sloped. The steeper it is, the more force you have to apply, and the less MA it has.A machine is required to produce an output force of 1,357 newtons. If the machine has a mechanical advantage of 5.5, what input force must be applied to the machine?<span>IF = OF ÷ MA
= 1,357 N ÷ 5.5
= 246.73 N</span>What is the mechanical advantage of a wheel if the radius of the wheel is 34.95 cm and the radius of the axle is 8.2 cm?<span>MA = WR ÷ AR
= 34.95 cm ÷ 8.2 cm
= 4.26</span>What does MA tell you?MA tells you how much your input force is multiplied. It tells you how "easy" your task is. Remember you must trade less force for greater distanceWhich is greater, work output or work input? Why?Work input is greater due to FRICTION!An output gear turns 15 times. How many times will the input gear turn if the gear ratio is 30?<span>Ti = To ÷ GR
= 15 turns ÷ 30
= 0.50 turns</span><span>
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