Answer:
There is no solution for the given radical equation.
x = 225/16 is an extraneous solution.
Step-by-step explanation:
The given equation is
Add 3 to both sides of the equation
Squaring both sides
Divide both sides by 16
Substituting back the value of x in original equation to check the extraneous solution.
Since -18≠ 12. Hence, the value of x does not satisfy the equation.
Therefore, x = 225/16 is an extraneous solution.
Step-by-step explanation:
Hello!
Ok so we have a tire 4.5ft in diameter. We want to know how many revolutions it makes in 170ft
So we have s=r*theta where s is arc length or distance traveled and r is the radius and theta is the angle in radians that it travels through, and this is what we want to know. We are given the rest so we have;
170ft=4.5ft/2 * theta so solving for theta we get
theta=340ft/4.5ft = 75.56 radians so now we just convert radians to revolutions and we know pi=3.14rad and 2pi is one rev and to convert to degrees its radians*( 360/2pi)=deg and this reduces to 180/pi so we have;
75.56radians * 180/pi = 4329 degrees travelled through so to get revolutions we now just divide this by 360deg for total revs. So we have;
4329deg/360deg=12 revolutions
Hope this helps! Any questions please ask! Thank you so much!
Answer:
<h2> 105 tickets</h2>
Step-by-step explanation:
To solve this problem we need to model an equation to represent the situation first.
the goal is to archive $7500 in the even, bearing in mind that there is a cost of $375 fee for rent, we need to put this amount into consideration
let the number of tickets be x
so
75x-375>=7500--------1
Equation 1 above is a good model for the equation
we can now solve for x to determine the number of tickets to be sold to archive the aim
75x-375>=7500--------1
75x>=7500+375
75x>=7875
divide both sides by 75 we have
x>=7875/75
x>=105 tickets
so they must sell a total of 105 tickets and above to meet the target of $7500 with the rent inclusive
3(d) and 3 (g)
d represents the price. so you multiply 3 by however much the has cost.
g represents the gallons and 3 represents the cost and again you multiply
