Answer:
2 lessons per day for 27 days and 3 lessons a day for 4 days.
Step-by-step explanation:
66/31 = 2 4/31
Since 66 divided by 31 is 2 with remainder 4, you need to do 31 days of 2 lessons per day. To do the extra 4 lessons, do one more lesson per day for 4 of those days.
That results in:
2 lessons per day for 27 days and 3 lessons a day for 4 days.
Check:
2 lessons a day for 27 days = 2 * 27 = 54
3 lessons a day for 4 days = 3 * 4 = 12
54 + 12 = 66
If you do 2 lessons a day for 27 days and 3 lessons a day for 4 days, you will do the 66 lessons.
Step One: Find 20% of 156
20% = .20
156 x .20 = 31.20
Step Two: Find the price of tickets
31.20 / 2 = 15.60
Final Answer: $15.60 per ticket
Hope this helps!
Answer: d = ±10
<u>Step-by-step explanation:</u>
169 =
+ 
169 = (12)² + 
169 = 144 + 
25 = 
100 = d²
√100 = √d²
±10 = d
Answer:
x = 1, y = -2
Step-by-step explanation:
15x + 3y = 9 (1)
10x + 7y = -4 (2)
3 × (2) - 2 × (1)
3 × (2)
30x + 21y = -12 (3)
2 × (1)
30x + 6y = 18 (4)
(3) - (4)
15y = -30
y = -30 / 15
y = -2
sub y = -2 into (1)
15x + 3y = 9
15x + (3 × -2) = 9
15x - 6 = 9
15x = 9 + 6
15x = 15
x = 15 / 15
x = 1
Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, (6,-3) and (-6,-5). Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (-6,-5) and going to (6,-3):
Rise = (-3 - (-5)) = +2
Run = (6 - (-6)) = 12
Rise/Run (slope) = 2/12 or 1/6
The equation becomes y = (1/6)x + b
We can find b by enterieng either of the two given points and solving for b. I'll pick (6,-3):
y = (1/6)x + b
-3 = (1/6)*(6) + b
-3 = 1 + b [Now you can see why I chose (6,-3)]
b = -4
The equation is y = (1/6)x - 4
Check this with a DESMOS graph (attached).