Answer:
Step-by-step explanation:
Complete question :
Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $53.98 and costs an additional $0.16 per mile driven. How many miles would Tom need to drive for the two plans to cost the same?
Answer:
200 miles
Step-by-step explanation:
Let miles driven = x
First option :
57.98 + 0.14x
Second option :
53.98 + 0.16x
First option = second option
57.98 + 0.14 = 53.98 + 0.16x
57.98 - 53.98 = 0.16x - 0.14x
4 = 0.02x
x = 200
200 miles
What you can do is split one of the binomials and then apply the distributive property if f(x) = (x + 3)(x -2) split the 1st binomial f(x) = x(x -2) + 3(x -2) now apply the distributive property to get
f(x)=x2−2x+3x−6
which simplifies to
f(x)=x2+x−6
Answer:
10 cm³
Step-by-step explanation:
The equation for density is: d = m/v, where d is the density, m is the mass, and v is the volume.
Here, d = 2.5 and m = 25.0, so plug these into the equation to solve for v:
d = m/v
2.5 = 25/v
Multiply both sides by v:
2.5v = 25
Divide by 2.5:
v = 25/2.5 = 10
Thus, the volume is 10 cm³.