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

Pls Help Me On This Question Quickly For A Lot Of Points class=

Sagot :

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]