Start by making variables to represent each tire
S=all-season tires
T=all-terrain tires
Create equations based on what was given in the question
68s+125t=3926 (the price for each tire multiplied by the number of tires equals the overall sales price)
T=14 (14 all-terrain tires were sold)
Sub 14 into the first equation for t in order to solve for s
68s+125(14)=3926
68s+1750=3926
68s=3926-1750
68s=2176
S=32
I hope this helps!
If he bikes for 10 miles per hour and 8 miles per hour for the same distance x miles, he went 10 miles per hour for x/10 hours, as Distance = Rate*Time and on the way back he would go for x/8 hours. So then he went 2x distance, in x/8 + x/10 hours. Since x/8 + x/10 = 10x/80 + 8x/80 = 18x/80 = 9x/40, he went 2x miles in 9x/40 hours. this can be converted into a rate with the above equation Distance = Rate*Time, so 2x=(9x/40) * Rate, thus we divide by 9x/40 on both sides to get 80x/9x = Rate, the x cancels out, and we get 80/9 Miles per hour.
X=one type that cost 9
y=one type that cost 8
total books=type1+type2
total books=13
x+y=13
the total cost=cost of each added together
cost of each=number of books times cost per book
total cost=108
9x+8y=108
we have
x+y=13
9x+8y=108
solve for x and y
multiply first equation by -8 and add to first equation
-8x-8y=-104
<u>9x+8y=108 +</u>
x+0y=4
x=4
subsitute
x+y=13
4+y=13
minus 4
y=9
4 of the $9
9 of the $8
thats how to solve
Answer: Option: (B) The range of both f(x) and g(x) is all nonzero real numbers is correct.
Step-by-step explanation: ..................Because I said so............................
I think the volume of cylinder B will be the same as that of cylinder A that is 360cm³
This is because the volume of the cylinder is dependent on the base and the perpendicular height, therefore, the slanting of the cylinder wont change its volume
