Answer:
Option 1
Step-by-step explanation:
The formula of constant porpotionality is
or
where k is the constant of porpotionality.
This equation is direct variation so we will use
The equation is in the form
1.5 is in k place so the constant of porpotionality is 1.5
Answer:
120
240
Step-by-step explanation:
We call the length of first part x
Length of second part = y
In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.
So,
We have this equation,
x/4 + y/3 = 110
We take the LCM
(3x + 4y)/12 = 110
When we cross multiply
3x + 4y = 110x12
3x + 4y = 1320 ----- equation 1
For scenario 2
x/3 + y/4 = 100
When we take the LCM
(4x + 3y)/12 = 100
We cross multiply
4x + 3y = 100x12
4x + 3y = 1200 ------ equation 2
We now have two equations and we will solve for x and y using simultaneous linear equation.
3x + 4y = 1320 ----- 1
4x + 3y = 1200 ----- 2
We subtract equation 2 from 1 to get
- x + y = 120
We make y subject
y = x + 120 ----- 3
We put the value of y in equation 3 into equation 1
3x + 4(x + 120) = 1320
3x + 4x + 480 = 1320
7x + 480 = 1320
7x = 1320-480
7x = 840
We divide through by 7
x = 840/7
x = 120
We put value of x in equation 3
y = x + 120
y = 120 + 120
y = 240
120 and 240 are the lengths of the 2 parts of the journey.
Thanks
1. A factory worker in Cambodia makes 320,000 Cambodian Riels per month. If 1 U.S. dollar equals 4000 Cambodian Riels, how much does the factory worker make in U.S. in dollars per year?
For this case we must first take the amount $ per month.
We have then:
1 $ ---> 4000
x = ----> 320000
Solving for x we have
x = (320000/4000) * (1) = $ 80 / month
We have then that 1 year two 12 months
($ 80 / month) * (12 months / 1 year) = $ 960 / year
Answer
the factory worker make 960 U.S. in dollars per year
2. People in Japan on average eat 3 ounces of fish per day. How many pounds of fish is this per week?
For this case, the first thing you should know is that a week has 7 days.
We can make a rule of three to find the number of ounces per week
3 ---> 1
x = ----> 7
x = (7/1) * (3) = 21ounces / week
Then, we should do the conversion of ounces to pounds
1 oz = 0.0625 pounds
Thus,
(21ounces / week) * (0.0625 punds / 1 ounce) = 1.3125 pounds / week
answer
3 ounces of fish per day is 1.3125 pounds / week
3. The town of Lloró, Colombia has an average yearly rainfall of 500 inches. On average, how many centimeters of rain does the town get each day?
The first thing you should know in this case are the following conversions:
1 year = 365 days
1 inch = 2.54 centimeters
We have the annual average rainfall is
500 (inches / year)
Making the conversion we have
500 (inches / year) * (2.54) (centimeters / inches) * (1/365) (year / days) =
3.45 (centimeters / days)
Answer
the town get each day 3.45 (centimeters / days)
4. The average American student is in class for 330 min / day. How many hours / day is this? Part b) How many sec / day?
The first thing you should know for this case are the following conversions
1 hour = 60 minutes
1 minute = 60 seconds.
Making the right conversions we have
330 (min / day) * (1/60) (hour / minutes) = 5.5hours / day
On the other hand we have
330 (min / day) * (60/1) (seconds / minutes) = 19800 sec / day
answer
330 (min / day) = 5.5hours / day
330 (min / day) = 19800 sec / day
6x + 4y = 12...subtract 6x from both sides
4y = -6x + 12 ...divide both sides by 4
(4/4)y = (-6/4)x + 12/4...reduce
y = -3/2x + 4 <== y = mx + b
(f * g)(x) = 4x^2(x + 1)
4x^3 + 4x^2
