Answer:
1000/2=500
Max=498000+500=498500
Min=498000-500=497,500
497500≤c<498500
Step-by-step explanation:
Answer:
27 + 6x = 8.25x
Number of movies (x) = 12
Step-by-step explanation:
Given that:
VIP membership :
Membership fee = $27 per year
Amount per movie = $6
Hence ;
Membership fee + (amount per movie * number of movies)
27 + 6x - - - (1)
Non member :
Amount paid per movie = $8.25
amount per movie * number of movies)
8.25x - - (2)
Let Numbe of movies = x
In other to pay the same amount of money :
Equate (1) and (2)
Equation :
27 + 6x = 8.25x
8.25x - 6x = 27
2.25x = 27
X = 12 movies
To find the length of each flight, we can use the formula: distance = speed x time.
Let's assume the length of the outbound flight (from the starting point to the destination) is x miles. Since the flight averages 460 miles per hour, the time taken for the outbound flight can be calculated as x/460 hours.
For the return flight, which averages 500 miles per hour due to the tailwind, the time taken can be calculated as x/500 hours.
The total flying time for both flights is given as 4 hours and 48 minutes, which can be converted to hours as 4 + 48/60 = 4.8 hours.
Using this information, we can set up the equation:
x/460 + x/500 = 4.8
To solve this equation, we can multiply through by the common denominator of 460 and 500, which is 230,000:
500x + 460x = 4.8 * 230,000
960x = 1,104,000
x = 1,104,000 / 960
x ≈ 1,150
Therefore, the outbound flight is approximately 1,150 miles long.
To find the duration of each flight, we can substitute this value back into the equations:
Outbound flight duration = 1,150 miles / 460 miles per hour ≈ 2.5 hours
Return flight duration = 1,150 miles / 500 miles per hour = 2.3 hours
Hence, the outbound flight lasts approximately 2 hours and 30 minutes, while the return flight lasts approximately 2 hours and 18 minutes.
Answer:
Siti bought 13 blue buttons
Step-by-step explanation:
for not to get confused, we are going to solve the problem step by step
Siti had 135 buttons
5/9 of the buttons were red and the rest were blue
let's calculate how many buttons were red out of 135
135 * 5/9 = 75
if 75 buttons were red and the rest were blue, we can calculate how many were blue
135 - 75 = 60
says she only use 64 red buttons
if we had 75 red buttons and she used 64
75 - 64 = 11
she tells us that she had 84 buttons left, from which we know she had 11 red buttons that had been left over and 60 blue ones that she did not use, so we can calculate how many blue buttons she bought since we have the total number of buttons that she has now
84 - 60 -11 = 13
Siti bought 13 blue buttons
Answer:
225 sq. Ft
Step-by-step explanation:
Key words in the question;
Dilated - This means increased pr expanded
Scale factor of 3 - This basically means multiplied by 3
Old square = 75 sq. Ft
This means;
New are = Old area * 3
New area = 75 * 3 = 225 sq. Ft
Answer:
x+6=±5
Step-by-step explanation:
Carly's mistake occurred in Step 2. She incorrectly divided both sides of the equation by 7 instead of subtracting 2 from both sides.
Carly's mistake occurred in Step 2. In this step, she incorrectly divided both sides of the equation by 7 instead of subtracting 2 from both sides. Let's correct her mistake:
-4(7j+2) = 10
7j+2 = -40
7j = -42
j = -6
Instead of dividing both sides by 7, Carly should have subtracted 2 from both sides:
7j + 2 - 2 = -40 - 2
7j = -42
j = -6
Therefore, Carly should have subtracted 2 from both sides in Step 2 instead of dividing by 7.