Answer: p=9
explanation: 6 reds + 3 blues = 9.
I believe you just use distributive property to find the product!
Answer:
<u>a₂₀ = 60</u>
Step-by-step explanation:
<u>Given :-</u>
a₃ = 9
a₈ = 24
<u>To find :-</u>
a₂₀
<u>Solving :-</u>
Expand the given values.
a + 2d = 9 -(1)
a + 7d = 24 -(2)
Now subtract (1) from (2).
=> 5d = 15
=> d = 3
a = 9 - 2d
a = 9 - 6
a = 3
<u>Final answer :-</u>
a₂₀
= a + 19d
= 3 + 19(3)
= 3+ 57
= 60
<u>a₂₀ = 60</u>
Answer: 7(11x + 3) .
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Explanation:
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We are asked to: "Factor the expression: 77x + 21 ."
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Upon examination of <u>both</u>: "<u><em>77x</em></u>" and "<u><em>21</em></u>" ; we can see that "<u><em>7</em></u>" is the greatest common factor (GCF) of BOTH. We can examine this visually, but let us write this out:
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21: 1, 3, <em><u>7</u></em>, 21
77x ;
or simply: 77: 1, <u><em>7</em></u>, 11, 77
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So, to proceed:
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Write down a: "7" ;
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7 *( ????)
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Note the distributive property of multiplication:
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a(b+c) = ab + ac ; AND:
a(b - c) = ab - ac ;
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So , we write down a "7" ;
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7*( ???
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The first value is: "+77x" ; so, " 7 * ? = 77x ?" ;
We can examine this visually and realize that the value is "11x";
or we can divide, as follows: (77x/ 7 = 11x ).
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So we have already written down: 7* (??? )
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We can down rewrite as: " 7 * (11x ......)
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(since " 7 * 11x = 77x ") ;
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The next (and in our case, final !) value in our expression is:
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" +21 " ;
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We have written down: 7* (11x ......)
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So now, we need to determine: "7 * ? = 21" ?
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We can inspect visually and determine the value is: "3" ;
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Or we can solve by division, as follows:
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"7 * ? = 21 ?" ; 21 / 7 = ? ; 21 / 7 = 3 . The value is: "3" .
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So , we have: " 7 * (11x .....) " ; now we can rewrite as:
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" 7*(11x + 3)" ; or, simply: " 7(11x +3)" ; The multiplication is implied).
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The answer is: 7(11x +3) .
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Does our answer make sense? Let us check!
The answer; " 7(11x +3) " is the factored expression of: "(77x + 21)" ;
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So: " 7(11x +3) " should EQUAL "77x +21 " . Is this true??
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Remember the distributive property of multiplication:
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a(b+c) = ab +ac ;
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So; " 7(11x +3) " = (7*11x) + (7*3) ; which equals:
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77x + 21 . Yes!
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no, there is not a bio you can put information about yourself I do not believe. considereing this technically is not a social media cite. however you can post comments on your page and others pages and send and receive friend requests, messages, ect.
Hope this helped :)
