A 10% booking fee is added to the ticket price (I'm guessing 10% is added for each ticket)
Find 10% of the adult and child ticket:
10% of 15 = 1.5
10% of 10 = 1
find the total price for the 4 adult tickets he buys and 2 child tickets:
(15 +1.5) × 4 = 66
(10 + 1) × 2 = 22
66 + 22 = 88
1.5% will then be added if he lays by credit card :
1.5% of 88 = 1.32
total :
88 + 1.32 = 89.32
He pays a total of £89.32
The area is 3/8 yd².
Area = length x width
Given:
length = 3/4 yard
width = 1/2 yard
Area = 3/4 yd * 1/2 yd
Area = 3*1/4*2
Area = 3/8 yd²
In multiplying fractions, multiply the numerators, then, multiply the denominators. lastly, simplify the fraction. 3/8 yd² is already in its simplest form.
I realize that the equation is different, but do it in the same way, it'll help! It is given that the water taxi's path can be modeled by the equation y =0.5(x - 14)^2. Therefore, this is one of the equations in this system. Find a linear equation that will model the path of the water skier, which begins at the point (6,6) and ends at the point (8,-4). The slope is (-5). Use the slope and one point on the line to find the y-intercept of the line. The y-intercept of the line that passes through the points (6,6) and (8,-4) is (0,36). Thus, the equation is y=-5x+36. Now, to determine if it is possible for the water skier to collide with the taxi, we have to determine if there is a solution to the system of equations. To determine if there is a solution to the system of equations, solve the system using substitution. First, write the equation that models the water taxi's path in standard form. y=0.5(x - 14)^2-->0.5x^2-14x+98. Use substitution. Substitute for y in the equation and then solve for x. As the expression on the left side of the equation cannot easily be factored, use the Quadratic Formula to solve for x. Do x=-b(plusorminus)sqrrtb^2-4ac/2a. Identify a, b, and c. a=0.5, b=-9, and c=62. Substitute into the Quadratic Formula. If there is a negative number under the radical, there are NO solutions. Thus, the path of the water skier will never cross the path of the taxi.
In conclusion: It is not possible that the water skier could collide with the taxi as the two paths never cross.
Answer:
(5h-4t)(5h+4t)
Step-by-step explanation:
25h² - 16t²
adding and subtracting 20ht from it (√25 and √16 = 5x4 = 20):
25h² + 20ht - 20ht -16t²
factor:
(5h-4t)(5h+4t)
45-15= 30-28= 2+18=20
Is that what the question was asking??
