Answer:
Writing the inequality, we have;
the solution to the inequality is;
Explanation:
Given that Natalie has $680 to spend at a bicycle store for some new gear and biking outfits.
Total spending must not exceed $680
She buys a new bicycle for $383.33.
• She buys 2 bicycle reflectors for $7.61 each and a pair of bike gloves for $22.01.
She plans to spend some or all of the money she has left to buy new biking outfits
for $32.43 each.
let x represent the number of biking outfits she can buy.
Total spending is;
Writing the inequality, we have;
we can now solve the inequality;
Therefore, the solution to the inequality is;
Answer
Find out the number of hours when the cost of parking at both garages will be the same.
To prove
As given
There are two parking garages in beacon falls .
As given
Let us assume that the y is representing the cost of parking at both garages will be the same.
The total number of hours is represented by the x.
First case
Garage a charges $7.00 to park for the first 2 hours ,and each additional hour costs $3.00 .
As garage charges $7.00 for the first 2 hours so the remaning hours are (x -2)
Than the equation becomes
y = 3.00 (x -2) + 7.00
written in the simple form
y = 3x - 6 +7
y = 3x + 1
Second case
Garage b charges $3.25 per hour to park.
than the equation becomes
y = 3.25x
Compare both the equations
3x +1 = 3.25x
3.25x -3x = 1
.25x = 1
x = 4hours
Therefore in the 4 hours the cost of parking at both garages will be the same.
The formula for the circumference of a circle is C = 2pi*r, where r is the radius. Here, 7850 units = C = 2pi*r.
Dividing 7850 units by 2pi, we get
7850 units
r = ----------------- = 1249 units (to the nearest unit)
2pi
