Mathematics

Question

pls help me on this question quickly for a lot of points!!!!!
pls help me on this question quickly for a lot of points!!!!!

2 Answer


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  • all expression represent how much Judith spent.

    Answer:

    Question:

    Judith's grandmother paid her x dollars a week to mow the lawn during the summer. Judith decided to save some of her money and spend the rest. For the first 4 weeks, Judith  put $10 per week into savings. For the next 8 weeks, she put $15 per week into savings.

    Solution given:

    Judith's grandmother paid her x dollars a week

    it means Judith's income per week is x.

    Judith decided to save some of her money and spend the rest.

    For the first 4 weeks, Judith  put $10 per week into savings.

    it mathematical expression it is expressed as:

    4(x-$10)

    again

    For the next 8 weeks, she put $15 per week into savings.

    it mathematical expression it is expressed as:

    8(x-$15)

    now,

    Judith's have

    4(x-$10)+8(x-$15) it represent 1st expression.

    solving above equation

    (4x-$40)+(8x-$120) represents 4t h expression.

    (4x+8x)-($40+$120) represents 2nd expression.

    12x-$160  represents 3rd expression.

  • Answer:

    [tex]{ \rm{• \:4(x - 10) + 8(x - 15)}} \\ \\ {• \: \rm{(4x - 40) + (8x - 120)}}[/tex]

    • (4x + 8x) - (40 + 120)

    • 12x - 160

    Step-by-step explanation:

    • For the first 4 weeks:

    [tex]{ \tt{4(x - 10)}}[/tex]

    • For the next 8 weeks:

    [tex]{ \tt{8(x - 15)}}[/tex]

    • Combine equations:

    [tex]{ \tt{4(x - 10) + 8(x - 15)}}[/tex]

    • From distribution law:

    [tex]{ \tt{(4x - 40) + (8x - 120)}}[/tex]

    • Simplify:

    [tex]{ \tt{(4x + 8x) - (40 + 120) = 12x - 160}} [/tex]