Answer:
4.5
Step-by-step explanation:
6x + 42 = 18x - 12 (alternate angles)
or, 18x - 6x = 42+12
or, 12x = 54
or, x = 54/12
x= 4.5
Answer: Time it took her to get to the school is 0.6 hours
The distance of the school from their home is 27 miles
Step-by-step explanation:
Mrs Dang drove her daughter to school at the average speed of 45 miles per hour.
Let x miles = distance from the school to their home.
Distance = speed × time
Time = distance / speed
Time used in going to school will be
x/45
She returned home by the same route. This means that distance back home is also x miles.
She returned at an average speed of 30 miles per hour.
Time used in returning home from school will be x/30
x/45
If the trip took one half hour, then the time spent in going to school and the time spent in returning is 1 1/2 hours = 1.5 hours. Therefore
x/30 + x/45 = 1.5
(15x + 10x) /450 = 1.5
15x + 10x = 450 × 1.5 = 675
25x = 675
x = 675/25 = 27
Time it took her to get to the school will be x/45
= 27/45 = 0.6 hours
Answer:
The Car.
Step-by-step explanation:
We need to find the unit rate for each vehicle to figure out who is traveling faster or slower.
Car: 600/20 = 30 ft per second
Motorcycle: 300/12 = 25 ft per second
So, the Car is faster
Its Gonna be Hours Divided by rooms.
Answer:
Lower bound=$2.15×10
Upper bound=$2.25×10
Step-by-step explanation:
A milloniare estimates her wealth to be $2.2×10 to the nearst million dollars.
In other words, his worth is $22 to the nearst million dollars.
To find the lower bound of the millionaire's wealth, we divide the level of precision by 2 and subtract from the millionaire's wealth.
Lower bound= 22-0.5=21.5 million dollars.
To find the upper upper bound, we add half of the level of precision to her estimate.
Upper bound =22+0.5=22.5 million dollars
