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DiKsa [7]
3 years ago
13

Find the greatest common factor of 36 and 60.

Mathematics
2 answers:
Katena32 [7]3 years ago
6 0
The greatest common factor is 12
Nady [450]3 years ago
5 0
Let's see what we're working from here 

36: 1,2,3,4,6,9,12,18,36 

60: 1,2,3,4,5,6,10,12,15,20,30,60

From the looks of it, it looks like 12 would be your Greatest Common Factor 

Good Luck! 
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It's worth 4 marks and 2 OCW
LUCKY_DIMON [66]
Since these angles clearly form a circle and a circle is 360 degrees, 
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5 0
3 years ago
One number is 7 more than another. The difference between their squares is 161. What are the numbers?
olga nikolaevna [1]
Let's say the numbers are "a" and "b"

now, we know one of them is 7 more than the other, so hmmm let's say "b" is 7 more than "a", so b = a + 7

the difference of their squares is 161, alrite

\bf a^2-b^2=161\qquad b=a+7\implies a^2-(a+7)^2=161
\\\\\\
a^2-(a^2+14a+49)=161\implies \underline{a^2-a^2}-14a-49=161
\\\\\\
-14a-49=161\implies -49-161=14a\implies -210=14a
\\\\\\
\cfrac{-210}{14}=a

and surey you know how much that is

now, what's "b"? well, b = a + 7
3 0
3 years ago
One side of a kite is 8 cm less than four times the length of another side. The perimeter of the kite is 78 cm. Find the lengths
Yuliya22 [10]

Answer:

9.4\:\mathrm{cm},\\9.4\:\mathrm{cm},\\29.6\:\mathrm{cm},\\29.6\:\mathrm{cm}

Step-by-step explanation:

A kite consists of two pairs of congruent adjacent sides. Therefore, we have the following equation:

2x+2(4x-8)=78, where x is the length of the shorter sides.

Solving, we get:

2x+8x-16=78,\\10x=94,\\x=\fbox{$9.4\:\mathrm{cm}$}.

Plugging in x=9.4 into 4x-8, we get:

4(9.4)-8,\\37.6-8,\\\fbox{$29.6\:\mathrm{cm}$}.

Therefore, two sides have length 9.4\:\mathrm{cm} and two sides have length 29.6\:\mathrm{cm}.

3 0
3 years ago
Solve the system of equations. y = x + 2, y = x2 + 7x + 10
Monica [59]

Answer:

(- 2, 0 ) and (- 4, - 2 )

Step-by-step explanation:

Given the 2 equations

y = x + 2 → (1)

y = x² + 7x + 10 → (2)

Since both equations express y in terms of x we can equate them, that is

x² + 7x + 10 = x + 2 ( subtract x + 2 from both sides )

x² + 6x + 8 = 0 ← in standard form

(x + 2)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x + 4 = 0 ⇒ x = - 4

Substitute these values into (1) for corresponding values of y

x = - 2 : y = - 2 + 2 = 0 ⇒ (- 2, 0 )

x = - 4 : y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )

Solutions are (- 2, 0 ) and (- 4, - 2 )

5 0
3 years ago
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