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laila [671]
3 years ago
11

Find the GCF for the list.

Mathematics
1 answer:
____ [38]3 years ago
4 0

Answer:

14a⁴b

Step-by-step explanation:

Factors of 28a⁴b⁸c7:

2²×7×a⁴×b⁸×c⁷

Factors of 98a⁵b:

2×7²×a⁵×b

For GCF collect the common factors:

2×7×a⁴×b

GCF = 14a⁴b

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What is this mixed numbers fraction 413
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If a, b, and c are positive integers, what
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3 years ago
Solve the simultaneous equation,<br> 2p - 3q = 4<br> 3p + 2q = 9
Kobotan [32]

Answer:

p = \frac{35}{13} and q = \frac{6}{13}

Step-by-step explanation:

Given equations:

2p - 3q = 4        -----------(i)

3p + 2q = 9       ------------(ii)

Let's solve this equation simultaneously using the <em>elimination method</em>

(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;

[2p - 3q = 4]        x 3

[3p + 2q = 9]       x 2

6p - 9q = 12            -------------(iii)

6p + 4q = 18            -------------(iv)

(b) Next, subtract equation (iv) from equation (iii) as follows;

     [6p - 9q = 12]        

<u>  -   [6p + 4q = 18]   </u>  

<u>             -13q = -6     </u>  -----------------(v)

<u />

<u>(c)</u> Next, make q subject of the formula in equation (v)

      q = \frac{6}{13}

(d)  Now substitute the value of q = \frac{6}{13} into equation (i) as follows;

     2p - 3(\frac{6}{13}) = 4

(e)  Now, solve for p in d above

<em>Multiply through by 13;</em>

26p - 18 = 52

<em>Collect like terms</em>

26p = 52 + 18

26p = 70

<em>Divide both sides by 2</em>

13p = 35

p = \frac{35}{13}

Therefore, p = \frac{35}{13} and q = \frac{6}{13}

8 0
3 years ago
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