8. there are 2850.5 miles between houston, tx and vancouver, canada, site of the 2010 olympic games. how many meters is that equal to if 1 mile is equal to 1.6 km? express your answer in scientific notation
9. a newborn baby eats 8 times a day. at each feeding, he eats 2.5 ounces of formula. how many days would it take for the baby to eat 1000 ounces?
10. jonathan raised 60 goats, then entered into a series of business transactions. he traded all the goats for sheep at an exchange rate of 5 goats for 7 sheep. next, he exchanged all the sheep for hogs at a rate of 4 sheep for 2 hogs. how many hogs did he get?
11. eggs are shipped from a poultry farm in trucks. each carton of eggs holds 12 eggs. the cartons of eggs are then placed in a crate that holds 20 cartons. the cartons are packed in trucks that carry 3125 crates of eggs. how many truckloads will it take to carry 3.75 x 10^6 eggs?
12. a chemistry teacher spends 5 minutes grading 1 student’s lab. she has 150 students who turn in lab papers for each lab. if we do 25 labs in class, how many minutes will i spend grading lab papers?
13. my son drinks 3 cups of milk a day. there are 8 ounces in a cup. how many ounces would he have drunk after 10 weeks?
14. in the average us household, the television is on 6.75 hours a day! how many hours will have passed after 77.7 years (the average life expectancy of an american)?
15. each dimensional analysis problem has taken you 1.5 minutes to complete. how many dimensional analysis problems could you complete in 6 weeks of chemistry class (242 minutes a week)?

Question

Accepted Answer

### 8.
# Explanation:
## Step1: Convert miles to km
First, convert miles to km. Given 1 mile = 1.6 km, and the distance is 2850.5 miles. So the distance in km is $2850.5	imes1.6$ km.
$2850.5	imes1.6 = 4560.8$ km
## Step2: Convert km to meters
Since 1 km = 1000 m, then the distance in meters is $4560.8	imes1000$ m.
$4560.8	imes1000=4.5608	imes 10^{6}$ m
# Answer:
$4.5608	imes 10^{6}$ m

### 9.
# Explanation:
## Step1: Calculate the amount of formula the baby eats per day
The baby eats 8 times a day and 2.5 ounces each time. So the amount of formula per day is $8	imes2.5$ ounces.
$8	imes2.5 = 20$ ounces
## Step2: Calculate the number of days
To find out how many days it takes to eat 1000 ounces, divide 1000 by the amount per day. So the number of days is $\frac{1000}{20}$.
$\frac{1000}{20}=50$ days
# Answer:
50 days

### 10.
# Explanation:
## Step1: Calculate the number of sheep
Jonathan has 60 goats. The exchange - rate is 5 goats for 7 sheep. So the number of sheep is $\frac{60}{5}	imes7$.
$\frac{60}{5}	imes7 = 84$ sheep
## Step2: Calculate the number of hogs
The exchange - rate is 4 sheep for 2 hogs. So the number of hogs is $\frac{84}{4}	imes2$.
$\frac{84}{4}	imes2=42$ hogs
# Answer:
42 hogs

### 11.
# Explanation:
## Step1: Calculate the number of eggs in a crate
Each carton has 12 eggs and each crate has 20 cartons. So the number of eggs in a crate is $12	imes20 = 240$ eggs
## Step2: Calculate the number of eggs in a truckload
Each truckload has 3125 crates. So the number of eggs in a truckload is $240	imes3125=750000$ eggs
## Step3: Calculate the number of truckloads
We have $3.75	imes 10^{6}$ eggs. The number of truckloads is $\frac{3.75	imes 10^{6}}{750000}$.
$\frac{3.75	imes 10^{6}}{750000}=5$ truckloads
# Answer:
5 truckloads

### 12.
# Explanation:
## Step1: Calculate the total number of lab - papers
There are 150 students and 25 labs. So the total number of lab - papers is $150	imes25$.
$150	imes25 = 3750$ lab - papers
## Step2: Calculate the total grading time
It takes 5 minutes to grade 1 lab - paper. So the total grading time is $3750	imes5$.
$3750	imes5=18750$ minutes
# Answer:
18750 minutes

### 13.
# Explanation:
## Step1: Calculate the number of ounces per day
My son drinks 3 cups a day and 8 ounces in a cup. So the number of ounces per day is $3	imes8=24$ ounces
## Step2: Calculate the number of days in 10 weeks
There are 7 days in a week, so in 10 weeks there are $10	imes7 = 70$ days
## Step3: Calculate the total number of ounces
The total number of ounces is $24	imes70 = 1680$ ounces
# Answer:
1680 ounces

### 14.
# Explanation:
## Step1: Calculate the number of days in 77.7 years
There are 365 days in a year. So the number of days in 77.7 years is $77.7	imes365$ days.
$77.7	imes365=28360.5$ days
## Step2: Calculate the total number of hours
The TV is on 6.75 hours a day. So the total number of hours is $28360.5	imes6.75$.
$28360.5	imes6.75 = 191433.375$ hours
# Answer:
191433.375 hours

### 15.
# Explanation:
## Step1: Calculate the total number of minutes in 6 weeks
There are 242 minutes a week, so in 6 weeks there are $242	imes6=1452$ minutes
## Step2: Calculate the number of problems
Each problem takes 1.5 minutes. So the number of problems is $\frac{1452}{1.5}$.
$\frac{1452}{1.5}=968$ problems
# Answer:
968 problems

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

8.

Step1: Convert miles to km

Step2: Convert km to meters

Step1: Calculate the amount of formula the baby eats per day

Step2: Calculate the number of days

Step1: Calculate the number of sheep

Step2: Calculate the number of hogs

Answer:

9.