Answer:
y = 9.50 + 6.00n
Step-by-step explanation:
This equation shows that the base rice that you must pay is $9.50 (the cost of your ticket). $6.00n represents the cost of however many additional tickets you purchase for n friends. Say 3 friends decide to come, your n value is 3.
You would need to do the following to determine the price you need to pay for 3 friends:
6.00(3) = 18.00 (this is how much you'd pay for 3 friends)
You must add your ticket price to $18.00 to find y (the total amount you must pay for yourself and your 3 friends). So you must do the following:
y = 9.50 + 6.00(3)
y = 9.50 + 18.00
y = 27.50 (this is the total price you'll pay for everyone attending
Hope this helps :)
Answer:
- The center (2, 2.5), radius
/ 2
Step-by-step explanation:
<u>The standard form of the equation of a circle is: </u>
- ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius
<u>Rewrite the given equation in the standard form:</u>
- 2x^2 + 2y^2 - 8x + 10y + 2 = 0
- x^2 - 4x + y^2 + 5y = -1
- x^2 - 4x + 2^2 + y^2 + 5y + (5/2)^2 = -1 + 4 + 25/4
- (x - 2)^2 + (y + 2.5)^2 = 37/4
<u>The center is:</u>
<u>And radius is:</u>
- <u /> / 2
In this case just do it left to right, as multiplication comes before addition/subtraction. So 7x3x2+5-3=21x2+5-3=42+5-3=47-3=44=k.
Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
5:4
5+4=9
198/9=22
22*5=
110:88
there are 110 boys
