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Rom4ik [11]
3 years ago
5

Simplify 10(x + 4) + 15(x + 1)

Mathematics
2 answers:
motikmotik3 years ago
8 0

Answer:

25x + 55

Step-by-step explanation:

10(x + 4) + 15(x + 1)

Distribute

10x + 40 + 15x +15

Combine like terms

25x + 55

topjm [15]3 years ago
4 0

Answer:

\huge{ \fbox{ \sf{25x + 55}}}

Step-by-step explanation:

\star{ \sf{ \:  \: 10(x + 4) + 15(x + 1)}}

\text{Step \: 1 \:  : Distribute \: 10 \: through \: the \: parentheses}

\mapsto{ \sf{10x + 40 + 15(x + 1)}}

\text{Step \: 2 \:  : Distribute \: 15 \: through \: the \: parentheses}

\mapsto{ \sf{10x + 40 + 15x + 15}}

\text{Step  \: 3 \:  : Collect \: like \: terms}

\text{Like \: terms \: are \: those \: which \: have \: the \: same \: base}

\mapsto{ \sf{10x + 15x + 40 + 15}}

\mapsto{ \sf{25x + 40 + 15}}

\text{Step \: 4 \:  : Add \: the \: numbers : 40 \: and \: 15}

\mapsto{ \sf{25x  + 55}}

Hope I helped!

Best regards! :D

~\sf{TheAnimeGirl}

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The sum of two consecutive mile markers on the interstate is 417417. Find the numbers on the markers
noname [10]

Hello from MrBillDoesMath!

Answer:

The first marker is labeled 208708; the second (consecutive) one 208709                  


Discussion:

Call the first mile marker "m". Then

m + (m+1) = 417417            => combine like terms

2m + 1 = 417417                 => subtract 1 from both sides

2m =  417416                     => divide both sides by 2

m  = 417416/2  = 208708                  

Note: m and (m+1) are consecutive as they immediately follow each other in the set of integers.

Thank you,

MrB

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{ \qquad\qquad\huge\underline{{\sf Answer}}}

Let's solve ~

\qquad \sf  \dashrightarrow \:  \cfrac{1}{b}  + 10 =  \cfrac{9}{b}  + 7

\qquad \sf  \dashrightarrow \:  \cfrac{9}{b}  -   \cfrac{1}{b} =  10 -   7

\qquad \sf  \dashrightarrow \:  \cfrac{8}{b}   =  3

\qquad \sf  \dashrightarrow \: b =  \cfrac{8}{3}

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