To solve his equation start by finding how many gallons of gas you need to purchase for the total trip.
Set up an expression that divides the total distance of the trip by the miles received per gallon.
This gives you:
400 / 35
Divide to get 11.43 gallons.
To find the cost of this, multiply the total number of gallons needed to cover the trip by the cost of each gallon.
Set this up in another expression.
This results in:
11.43 x 3.30
Multiply the values to find the total cost.
This leaves you with:
37.72
So, the total cost for gas for a 400 mile trip on 35 miles per gallon is $37.72.
I hope this is correct and helps you! :)
Answer:
Step-by-step explanation:
y = sin(t^2)
y' = 2tcos(t^2)
y'' = 2cos(t^2) - 4t^2sin(t^2)
so the equation become
2cos(t^2) - 4t^2sin(t^2) + p(t)(2tcos(t^2)) + q(t)sin(t^2) = 0
when t=0, above eqution is 2. That is, there does not exist the solution. so y can not be a solution on I containing t=0.
Answer:
B
Step-by-step explanation:
7m+11= -4 x 2m + (-4 x 3)
7m +11 = -8m -12
7m +8m = -12-11
15m = -23
Answer:
y=1/5x-31/5 (or y=0.2x-6.2 in decimals)
Step-by-step explanation:
x=5y-8 (original equation)
x+8=5y <u>(Addition Property of Equality)</u>
1/5x+8/5=y <u>(Division Property of Equality, </u><u>slope </u><u>of </u><u><em>original equation </em></u><u>is </u><u>1/5</u><u>)</u>
<u />
y-y1=m(x-x1) <u>(point-slope formula)</u>
y-(-5))=1/5(x-(6)) <u>(plug in the slope that was found earlier and the point given in the question)</u>
y+5=1/5(x-6)
y+5=1/5x-6/5 (Distributive Property of Multiplication) Note: 5 = 25/5
<u>y=1/5x-31/5</u> (Subtraction Property of Equality, and there's your answer)
<u>y=0.2x-6.2</u><em> </em>(This is the same answer, but written with decimals)
I can't answer your question without a picture... Sorry.
