Y=- 6
Because the slope is 0, the equation would be y=0x+b
-6=0+b
b=-6
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.
Answer:
a gas in a rigid container has a pressure of 632 torrs and a temperature of 45 celsius. The pressure has increased to 842 torrs. What is the new temperature of the gas
Let the digit in the tens place be x
tens place = x (therefore the value is 10x)
ones place = x + 7
The number is 10x + x + 7
Add 26 to it
10x + x + 7 + 26 = 11x + 33
It is 5 times the sum of the digit
11x + 33 = 5(x + x + 7)
11x 33 = 10x + 35
x = 2
x+ 7 = 2 + 7 = 9
So the number is 29
Answer:
The area of the associated sector is 
Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The circumference of a circle is equal to
we have
substitute and solve for r
step 2
Find the area of the circle
we know that
The area of the circle is equal to
we have
substitute
step 3
Find the area of the associated sector
we know that
subtends the complete circle of area 
so
by proportion
Find the area of a sector with a central angle of 
