When we are to divide the line segment such that the ratio is 1:2, there are actually 3 parts of the segment. First, we determine the distance between the coordinates and divide the distance by 3. Then, we add the quotient to the x-coordinate.
x-coordinate: (2 - 9) / 3 = -7/3
y-coordinate: (6 - 3 ) / 3 = 1
Adding them to the coordinates of a,
x - coordinate: (9 - 7/3) = 20/3
y - coordinate: (3 + 1) = 4
Thus, the coordinates are (20/3, 4).
Answer:
53lbs
Step-by-step explanation:
if he bought three bags of gravel that are 20 lbs. each then he would have 60 lbs. of gravel. In the end he only had 7 pounds left so you would subtract 7 from 60 and get 53 pounds.
7+x=60 or 60-7=53
i hope this helped!
This exponential growth/decay (in this case decay because r<1) of the form:
f=ir^t, f=final value, i=initial value, r=common ratio or "rate", t=time.
Since the population decreases by 4.5% each year the common ratio is:
r=(100-4.5)/100=0.955 so we can say
P(t)=8500(0.955^t)
....
7000=8500(0.955^t)
14/17=(955/1000)^t taking the natural log of both sides
ln(14/17)=t ln(955/1000)
t=ln(14/17)/ln(955/1000)
t≈4.22 years (to nearest hundredth of a year)
Since t is the years since 2010, the population will fall to 7000 in the year (2010+4.22=2014.22, more than four years will have elapsed) 2015.
Answer:
60,000
Step-by-step explanation:
Let the total people in the household be 100%
If 80 percent of the households have cable television, 60 percent of the households have videocassette recorders and the number of households that have both cable television and videocassette recorders is 'x' percent. The number of households having ONLY cable television will be 80-x while households having ONLY videocassette will be 60-x.
To get x, we will have;
80-x + 60-x + x = 100
140-x = 100
x = 140-100
x = 40
This shows that 40% of the households have both cable television and videocassette.
If there are 150,000 households in the city, then the number of households that have both cable television and videocassette recorders could be 40% of 150,000
= 40/100 × 150,000
= 60,000
Number of households that owns both television and videocassette could be from 60,000.
Cheetah ran 300 feet in 2.92 seconds.
Average speed in miles per hour.
Converting 300 feet to mile.
5280 feet = 1 mile
1 feet = (1/5280) mile
300 feet = (1/5280) * 300 = (300/5280) = (30/528) = (10/176) mile.
2.92 seconds to hour.
3600 seconds = 1 hour
1 second = (1/3600) hour
2.92 seconds = 2.92 * (1/3600) = (2.92/3600) hour.
Speed of Cheetah in miles per hour = (10/176) mile / (2.92/3600) hour
= 70.05 miles/hour
