Answer:
72 inches
Step-by-step explanation:
We are given that
Length of rectangle=423 inches
Width of rectangle=360 inches
We have to find the side length of the largest square they can use to fill the checkboard pattern completely without overlap or gaps with the help of Euclid's algorithm.
In order to find the largest side of square we will find HCF (432,360).
Euclid's algorithm

a=dividend
b=divisor
q=quotient
r=remainder
a=432,b=360


HCF(432,360)=72
Hence, the side of largest square=72 inches
Answer:
Probability of atleast one of 12 student has food allergies ≈ 0.58 ( approx)
Step-by-step explanation:
Given: Probability of a children under age 5 has food allergies = 7%
=
To find : Probability of atleast one of 12 student has food allergies
Probability of a chindren under age 5 does not have food allergies = 
⇒ prob = 
now we find Probability of atleast one of 12 student has food allergies this means we have to find prob of 1 student, 2 student, 3 student, till 12 student have allergy out of 12 student of class then add all prob.
But instead of finding all these probability we find probability of student having no allergy.i.e., 0 student then subtract it from 1(total probability)
Probability of 0 student having allergy out of 12 student = 
Therefore, Probability of atleast one of 12 student has food allergies
= 
= 
≈ 0.58 ( approx)
Answer:
2x
Because 6 ÷ 3 = 2, so the answer is 2x
The given inequality is

First we need to remove the absolute sign , and when we do so , we will get a compound inequality, that is

To solve for x, first we need to get rid of 10. and for that, we have to do subtraction

Now we need to get rid of 9, and for that, we do division

So the required solution is
