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]