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N76 [4]
3 years ago
12

What is the simplified form of the expression? 15y – 3(4y + 10)

Mathematics
2 answers:
Tju [1.3M]3 years ago
7 0
<span>15y – 3(4y + 10)
-------------------------------
Distribute
</span><span>= <span><span>15y + <span><span>(-3) </span><span>(4y) </span></span></span>+ <span><span>(-3) </span>(10)</span></span></span><span>= <span><span><span><span>15y + -</span>12y </span>+ -</span><span>30
-----------------------------------------------
Combine the Like Terms
</span></span></span><span>= <span><span><span>15y </span>+ -<span><span>12y </span></span></span>+ -<span>30</span></span></span><span>= <span><span>(<span><span>15y </span>+ -<span><span>12y</span></span></span>) </span>+ <span>(-<span>30</span>)</span></span></span><span>= <span><span>3y </span>+ -<span><span>30
----------------------------------------------------------
3y - 30 should be your answer</span></span></span></span>
sattari [20]3 years ago
4 0
Hello!

Expression: 15y - 3(4y + 10)

The first step is to distribute.To do this we have to multiply the number that is before the brackets separately by all the number in the bracket. 

<span><span>15y + <span>(-3)(4y) </span></span>+ <span>(-3)(10)</span></span><span> 
<span><span><span>15y + -12y </span>+ -</span>30</span></span> 

Next we will combine like terms: 

<span><span>15y + -12y </span>+ -30</span><span>= <span><span>(<span>15y + -12y</span>) </span>+ <span>(-30) 
</span></span></span><span>3y + -<span>30
</span></span>
The terms we combined are: (15y + -12y)

Final answer: 3y - 30

Hope I helped you! (:
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Can y’all help me plss
Troyanec [42]

<u>In a parallelogram,</u>

 ⇒the angles adjacent to each other

    ⇒ are of the same measure

        ⇒so

             ∠A = ∠C

             ∠B = ∠D

<u>Let's solve</u>:

  • ∠A = ∠C

           7z +5 = 8z - 10\\5+10=8z-7z\\8z-7z=5+10\\z = 15

  •  ∠B = ∠D

           5w-30=3w+10\\5w-3w=30+10\\2w = 40\\w=20

<u>Let's check</u>:

 ⇒ for all quadrilaterals like a parallelogram

    ⇒all the angle measures added up to 360, so:

     (7z+5)+(8z-10)+(5w-30)+(3w+10)=360\\(7(15)+5)+(8(15)-10)+(5(20)-30)+(3(20)+10)=360\\(105+5)+(120-10)+(100-30)+(60+10)=360\\110+110+70+70=360\\220+140=360\\360=360

<u>Thus</u>:

  <u>Answer: w = 20 and z = 15</u>

Hope that helps!    

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