12 31/100 is the mixed fraction because in a decimal all the numbers to the left are whole numbers and all the numbers to the right are numbers that are part of a whole. Just like in a mixed fraction there is a whole number and a fraction in a mixed number. Since 12 is in the left it is the whole number and since 31 is to the right and in the place value 31 is ending in the hundredths place so that's why the fraction is, 31/100. That's how you came to know that 12 31/100 is the fraction for 12.31.
20x+5y=120
10x+7.5y=80 multiply this one by 2
___________
20x+5y=120
20x+15y=160 subtract
___________
-10y=-40 divide both sides by -10
____________
y=4
20x+5(4)=120 plug 4 in for y in the first equation
20x+20=120 multiply
20x=100 subtract
x=5 divide to find x
Answer:
9,4,-1,-6,-11
Step-by-step explanation:
When n = 1: a(1+1) =a(1) +1
a(2) = -9 +1
a(2) = -8
When n = 2: a(2+1) =a(2) + 2
a(3) = -8 + 2
a(3) = -6
When n = 3: a(3+1) = -6 + 3
a(4) = -3
36 ways to roll 2 dice
There are 10 ways to roll 1 thru 5…
Thus there are 26 / 36 ways to roll >5 (13/18)
Answer:
108°
Step-by-step explanation:
Suppose that circle with center A is a circular arena. Points B, C, D, E and F are 5 lights. These 5 points form regular pentagon (because these 5 lights are equally spaced around the perimeter of the arena).
The sum of all interior angles of pentagon can be calculated using following formula
All interior angles in regular pentagon are of equal measure, so
Thus, the measure of each angle formed by the lights on the perimeter is 108°.
