The hotel is $250 plus $25 per person so the equation would be
y= 25x + 250
(Y is the total cost and x is the number of people)
the restaurant is $100 plus $40 per person so the equation would be
y = 40x + 100
What we want to know is which x value would make the y values equal to each other. So you can just replace the "y" in one equation with the other equation:
25x + 250 = 40x + 100
and then solve...
1. subtract 100 from both sides
25x + 150 = 40x
2. subtract 25x from both sides
150 = 15 x
3. divide both sides by 15
10 = x
you can check by plugging 10 into the original equations
25(10) + 250
250 + 250 = 500
and
40(10) + 100
400 + 100 = 500
they both cost $500 when you invite 10 people
Answer:
-9 + ( -16) = -25
( -4) – (-6) + (-5) – (8) =-11
( 3) – (-9) + (-3) – (-2) =11
- ( 5) – (-7) + (-8) =-6
- ( -8) – (-9) + (-4) – (-1) =14
( -5) – (-11) + (10) – (8) =8
( -1) – (-2) + (-3) – (-6) =4
( -4) – ( 4) – (6) + (-5) – (-8) =-11
(-6) + (-5) – (-8) =-3
Step-by-step explanation:
Hope it helps
Using the correct order of operations, your equation would simplify as:
-36 - 10 = -26
Answer:
2,143.57
Step-by-step explanation:
The equation for volume of a sphere is 4/3 x pie x r^3. Plug in 8 for r = 512. 512 x 3.14= 1,607.68. 4/3 x 1,607.68 is about 2,143.57
Answer: 7 × 11 × 13 = 1001
Step-by-step explanation:
Solution: Since, the prime factors of 1001 are 7, 11, 13. Therefore, the product of prime factors = 7 × 11 × 13 = 1001.
