3b - 7 < 32
=> 3b < 32 + 7
=> 3b < 39
=> b < 39÷ 3
=> b < 13
Hope it helps !!!
<span>During the distribution of bonbons to her grandchildren, Grandma Claudia realized that if she distributed 11
chocolates for each of them, 10 candies would remain. In the meantime, distribute 13 chocolates
each of his grandchildren, would lack 6.
Based on this information, it is CORRECT to state that the difference between the number of candies
and the number of grandchildren is
A) 90.
B) 30.
C) -90.
D) -30.
Let n=number of candies,
and c=number of grandchildren
The story expressed in modulo gives the two following equations:
then
mod(n,11)=10 (ten left if each given 11).............(1)
mod(n,13)=-6, or
mod(n,13)=7 (7 left if each given 13)
By enumerating (1), we have
10,21,32,43,54,65,76,87,98,109...
=> 8*11+10=98
By enumerating (2), we have
7,20,33,46,59,72,85,98,101...
=> 8*13-6=98
Hence there are 8 grandchildren and 98 candies.
The difference of the number of candies and the number of grandchildren is therefore 98-8=90.
Another way to get the number of grandchildren is
c=(10-(-6))/(13-11)=8
</span>
Quadratic formula: x equals negative b plus or minus the square root of b squared minus 4 ac all over 2a
a=2 b=5 c=1
x=(-5+/5^2-4(2)(1))/2(2)
-5+/25-8/4
-5+/17/4
(-5+4.12)/4
-0.877/4
-0.219
x=(-5-/5^2-4(2)(1))/2(2)
-5-/25-8/4
-5-/17/4
(-5-4.12)/4
-9.12/4
-2.28
x=-0.219 or x=-2.28
To find the volume of any cube you need to know the length, width and height. The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times.
