Question 1:
73 is a prime number. It can only be divided by 1 and by itself.
The GCF of the three numbers:
54 36 73
1×54 1×36 1×73
2×27 2×18
3×18 3×12
6×9 4×9
6×6
GCF of 54, 36 and 73 is 1
GCF of 54 and 36 is 18
If we divide 54 apples into 18 baskets, we have 3 apples in each basket
If we divide 36 oranges into 18 baskets, we have 2 oranges in each basket
If we divide 73 bananas into 18 baskets, we have 4 bananas in each basket + one banana left over.
So the greatest number of identical fruit baskets we can make with the least amount of fruit left over is 18 baskets
Answer:
SSS
Step-by-step explanation:
KN / PD = 54/24 = 2.25
KB / PF = 49.5/22 = 2.25
BN / DF = 40.5/18 = 2.25
ΔKBN ~ PDF (SSS) : two triangles are similar, their corresponding sides are in equal proportion.
Answer:
Monica = 48.50
Samuel = 24.25
Kara = 17.25
Step-by-step explanation:
First you write equations as you are reading the text:
m = 2s ("Monica earned twice as much as Samuel")
s = k+7 ("Samual earned 7 more than Kara")
m = 48.50
Next, you convert these equations to solve for s and k respectively.
So, if m=2s, then s=m/2:
s = m/2 = 24.25
Likewise, if s=k+7, then k=s-7
k = s-7 = 17.25
The difference between greatest and least is 48.50 - 17.25 = 31.25
Answer:
<h3>11</h3>
Step-by-step explanation:
The sum of interior angles is equal to exterior angle
Given the following
Interior angles = 5x + 10 and 58
Exterior angle 11x+2
According to the postulate:
5x + 10 + 58 = 11x + 2
5x + 68 = 11x + 2
Collect like terms
5x -11x = 2 - 68
-6x = -66
x = -66/-6
<em>x = 11</em>
<em>The value of x is 11</em>
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