Answer: 1,395 gallons
Step-by-step explanation:
There are 31 days in December.
If using this water fixture would reduce water usage to 45 gallons per day, the number of gallons to be used in December is:
= 45 * 31 days
= 1,395 gallons
The square will be equal to the diameter of the circle. The circumference of a circle is π times the diameter, and the perimeter of the square is four times times that diameter...
C=πd
d=C/π
p=4d so
p=4C/π feet, since C≈99 ft and π≈3.14
p≈4(99)/(3.14)
p≈126.1 ft (to nearest tenth of a foot)
Answer: I'm assuming you want this problem simplified.
6x + 11 + 3x
Combine like terms: 9x + 11
Your expression now looks like: 9x + 11
There is nothing left to simplify, so you're done!
Hope this helps!
9514 1404 393
Answer:
558
Step-by-step explanation:
Let p represent the student population at Edison Jr High. Then we know ...
(4/9)p = 248 . . . . . 248 students is 4/9 of the student population
p = 248(9/4) = 558 . . . multiply the equation by 9/4
558 students attend Edison Jr. High.
Since the angles are supplementary, you know their sum is 180°. You are told their difference is 40°. The solution to a sum and difference problem is always the same: the larger number is the average of the given ones; the smaller number is that less the difference.
Angle 2 is largest so its measure is
... m∠2 = (180°+40°)/2 = 110°
... m∠1 = 110° -40° = 70°
_____
Here's the generic solution to a "sum and difference" problem. Let the sum be represented by s, and the difference represented by d. Then the two values a and b satisfy ...
... a + b = s
... a - b = d
Add these two equations to get
... 2a = s+d
... a = (s+d)/2
The second of the orginal equations can be solved for b:
... b = a - d . . . . . add b-d to the equation
Or, you can subtract the second eqution from the first ...
... 2b = s - d
... b = (s-d)/2