Hello from MrBillDoesMath!
Answer:
n = 5
Discussion:
Let the original number be "n" Translating the problem statement to mathematical symbolism:
n + 4 = 19 - 2n => add 2n to both sides
n + 2n + 4 = 19 - 2n + 2n => combine like terms
3n + 4 = 19 => subtract 4 from both sides
3n = 19 -4 = 15 => divide both sides by 3
n = 15/3 =5
Check: Does 5 +4 = 19 - 2(5)? Does 9 = 9? Yes. so the value for n is confirmed correct.
Thank you,
MrB
Put the value of x to the inequality:
Answer:
x = 7
Explanation:
We are given
22 + 54x = -20 + 60x
We can add 20 on both sides using the Addition Property of Equality
42 + 54x = 60x
Subtract both sides by 54x using the Subtraction Property of Equality
42 = 6x
Divide both sides by 6 using the Division Property of Equality
x = 7
The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.
- The time spent on doing the homework is 15 minutes.
- The time spent watching television is 3 hours.
- To calculate the ratio, we must have the same units for both quantities.
- We have to convert the time spent watching television from hours to minutes.
- 1 hour is 60 minutes.
- 3 hours has 3*60 minutes.
- 3 hours have 180 minutes.
- So, the time spent watching television is 180 minutes.
- The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 15/180.
- We need to simplify the fraction.
- 15/180 is equal to 1/12.
- Thus, the ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.
To learn more about fractions, visit :
brainly.com/question/10354322
#SPJ9
