Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

john scored 3 more points than james. how many points did john score? p…

Question

john scored 3 more points than james. how many points did john score? p + 3 p = number of points james scored

  1. if the length of a rectangle is 5 inches more than twice of its width, how long is the length?
  2. angel is 7 kilograms heavier than harry. how heavy is angel?
  3. christian works for $50 a day and additional $6 per hour for overtime. if he works t hours overtime in a day, how much money will he receive?
  4. mickey bought 3 pillows and a blanket for a total cost of $85. if each pillow costs $p, how much is the blanket?
  5. stephen is 5 years less than twice the age of jimmy. how old is stephen?
  6. jasmine has 3 dollars and n dimes in her pocket. how much money does she have in all?
  7. nicole has $50 dollars on her pocket. if she buys 3 pairs of socks for $d each, how much does she has left?
  8. find the number of minutes in t hours.
  9. kristof finished reading the book 15 minutes faster than elisa. how long did kristof take to finish reading the book?
  10. jimmy is 11 centimeters taller than twice the height of carl. how tall is jimmy?

Explanation:

Step1: Let width be $w$. Twice the width is $2w$, 5 inches more is $2w + 5$.

Expression: $2w+5$
Variable: $w$ = width of the rectangle

Step2: Let Harry's weight be $h$. Angel is 7 kg heavier, so Angel's weight is $h + 7$.

Expression: $h + 7$
Variable: $h$ = Harry's weight

Step3: He has a base - pay of $50$ and $6$ per overtime hour. If he works $t$ overtime hours, the total pay is $50+6t$.

Expression: $50 + 6t$
Variable: $t$ = number of overtime hours

Step4: 3 pillows at $p$ each cost $3p$. The total cost is $85$. So the cost of the blanket is $85 - 3p$.

Expression: $85-3p$
Variable: $p$ = cost of each pillow

Step5: Let Jimmy's age be $j$. Stephen is 5 years less than twice Jimmy's age, so Stephen's age is $2j-5$.

Expression: $2j - 5$
Variable: $j$ = Jimmy's age

Step6: Each dime is $0.1$ dollars. $n$ dimes is $0.1n$ dollars. With 3 dollars, she has $3 + 0.1n$ dollars.

Expression: $3+0.1n$
Variable: $n$ = number of dimes

Step7: 3 pairs of socks at $d$ each cost $3d$. She starts with 50 dollars, so she has $50 - 3d$ dollars left.

Expression: $50-3d$
Variable: $d$ = cost of each pair of socks

Step8: There are 60 minutes in an hour. In $t$ hours, there are $60t$ minutes.

Expression: $60t$
Variable: $t$ = number of hours

Step9: Let Elisa's reading - time be $e$. Kristof finished 15 minutes faster, so Kristof's time is $e - 15$.

Expression: $e-15$
Variable: $e$ = Elisa's reading - time

Step10: Let Carl's height be $c$. Jimmy is 11 cm taller than twice Carl's height, so Jimmy's height is $2c + 11$.

Expression: $2c+11$
Variable: $c$ = Carl's height

Answer:

  1. Expression: $2w + 5$, Variable: $w$ = width of the rectangle
  2. Expression: $h + 7$, Variable: $h$ = Harry's weight
  3. Expression: $50+6t$, Variable: $t$ = number of overtime hours
  4. Expression: $85 - 3p$, Variable: $p$ = cost of each pillow
  5. Expression: $2j - 5$, Variable: $j$ = Jimmy's age
  6. Expression: $3+0.1n$, Variable: $n$ = number of dimes
  7. Expression: $50 - 3d$, Variable: $d$ = cost of each pair of socks
  8. Expression: $60t$, Variable: $t$ = number of hours
  9. Expression: $e - 15$, Variable: $e$ = Elisa's reading - time
  10. Expression: $2c+11$, Variable: $c$ = Carl's height