Hello!
The greatest common factor (GCF) is self explanatory. We find the factors of each number, and find the largest ones that are in common
12: 1,12,2,6,3,4
33:1,33,3,11,
As you can see, the greatest number these two have in common is 3.
Now for the next set.
45: 1,45,3,15,5,9
70:1,70,2,35,5,14,7,10
As you can see, our GCF is 5.
Therefore, our answers are below.
9) 3
10) 5
I hope this helps!
Answer:
-56
Step-by-step explanation:
Formula to get determinant is::
![\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D%20%3D%20ad-bc)
0(0)-8(7)
0 - 56
-56
Answer:
- Since the question is incomplete, see the figure attached and the explanation below.
Explanation:
Since the figure is missing, I enclose the figure of a square inscribed in a circle.
Since the <em>area of a square</em> is the side length squared, you can determine the side length:
From the side length, you can find the diagonal of the square, which is equal to the diameter of the circle, using the Pythagorean theorem:
- diagonal² = (10cm)² + (10cm)² = 2 × (10cm)²
The area of the circle is π (radius)².
- radius = diameter/2 = diagonal/2
Answer:
discounted price = original price ( 1 - discount rate)
Step-by-step explanation:
Answer:Number of children = 2 and number of adults = 9 attended the play
Step-by-step explanation:
Step 1
Let the number of children be represented as x
and the number of adults in the group be represented as as y
such that the total number of the group that went to the play
= x+y=11--- equation 1
And the total cost paid for the play will be expressed as
15x+ 22y= 228------ equation 2
Step 2-- Solving
x+y=11--- equation 1
15x+ 22y= 228------ equation 2
B y elimination method, multiply equation 1 by 15 to give equation 3 and then subtract from equation 2
15x+ 22y= 228------ equation 2
15x+15Y= 165----- equation 3
7y=63
y= 63/7= 9
y= adults = 9
therefore x = number of children will be
x+y=11
x+ 9=11
x= 11-9= 2
In the group that attended the play, Number of children = 2 and number of adults = 9
