Answer:
180-1(2x-40)
180-1(2x)+(-1)(-40)
180+−2x+40
Combine Like Terms:
180+−2x+40=(−2x)+(180+40)
-2x+220
Step-by-step explanation:
<u>The </u><u>distance </u><u>between the two objects in 10 years will be </u><u>250 kilometers.</u>
What is Distance?
Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.
We are given:
The rate at which two objects drift apart in 1 year = 25 km
To calculate the distance between the two objects in 10 years, we apply unitary method:
The distance, the two objects has drifted apart in 1 year is 25 km
So, the distance, the two objects has been drifted apart in 10 years, will be = 
Therefore, the distance between the two objects in 10 years will be 250 kilometers.
Learn more about distance
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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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420 miles because if you multiply 60 minutes times 4 hours you get 240 miles then multiply 60 times 3 add your two answers together....
