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Thepotemich [5.8K]
9 months ago
15

Complete the following.(a) Find the greatest common factor (GCF) of 63 and 36.хGCF = 0(b) Use the GCF to factor 63 -36.63 – 36 =

(-X

Mathematics
1 answer:
morpeh [17]9 months ago
6 0
Answer:

a) The GCF of 63 and 36 is 9

b)

63-36=9\times(7-4)

Explanation:

a) To find the GCF of 63 and 36, we do the following:

Write 63 and 36 as follows:

\begin{gathered} 63=3\times3\times7 \\ 36=2\times2\times3\times3 \end{gathered}

The common factors are:

3\times3

Therefore, the Greatest Common Factor (GCF) is 9

b) To find the factor 63 - 36

63-36=9\times(7-4)

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Write the number below as a fraction in its simplest form 0.˙49˙9 (more clearer picture is attached here)
mars1129 [50]

Answer:

499/999

Step-by-step explanation:

The decimal number written is:

0.499...

Such that these 3 decimals are repeated as:

0.499499499...

Let's define this number as k

k = 0.499...

Let's multiply this number by 1000 (the same number of zeros as important decimals after the decimal point)

we get:

1000*k = (1000)*(0.499...) = 499.499...

Now we can subtract the original number k, so we get:

1000*k - k = 499.499... - 0.499...

In this way, we remove the part after the decimal point:

1000*k - k = 499.499... - 0.499...

(1000 - 1)*k = 499

999*k = 499

Now we can divide both sides by 999

(999*k)/999 = 499/999

k = 499/999

The fraction notation of our number is 499/999 (and this is the simplest form)

5 0
2 years ago
Please help with one question
ValentinkaMS [17]

7/3, 6x7/3 is 14, good luck!

5 0
3 years ago
Point Q'Q ′ Q, prime is the image of Q(0,6)Q(0,6)Q, left parenthesis, 0, comma, 6, right parenthesis under the translation (x,y)
Marina86 [1]

Q is located at (0,6)

The translation rule is (x,y) \to (x+7,y-5) which says to add 7 to the x coordinate and subtract 5 from the y coordinate. Doing that to (0,6) moves it to (7,1) which is where point Q' is located.

In other words, if you shift point Q(0,6) seven units to the right and five units down, then it arrives at Q ' (7,1)

<h3>Answer: (7, 1)</h3>

8 0
3 years ago
Write 98 as the product of prime factors in ascending order
umka2103 [35]

to write 98 as a product of its prime factors we have to first find the prime factors of 98

prime factors are prime numbers by which the given number can be divided by.

98 we have to keep dividing it by prime numbers

98 is an even number so we can first divide by 2

98 / 2 = 49

49 is a multiple of 7 which too is a prime number so we can divide 49 by 7

49/7 = 7

7 can be divided again by 1

7/7 = 1

98 is divisible by 2 and 7

so 98 written as a product of prime factors is

98 = 2 x 7 x 7

4 0
2 years ago
Read 2 more answers
Sari is factoring the polynomial 2x2+5x+3. If one factor is (x+1), wh
Irina-Kira [14]

Answer:

2x+3

Step-by-step explanation:

if we need to find any polynomial factor you need to do

2x^2 +5x +3 is divided by the known factor x+1

if you have cas calculator

go to menu- algebra- factor -type the 2x^2 +5x +3

the answer will be 2x+3

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2 years ago
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