Answer:
She must sell as least 20 candles
Step-by-step explanation:
Sharon has 50 dollars
She makes 2 dollars per candle
Money in 50+2c
She needs at least 90
90≤ 50+2c
We need to solve this inequality
Subtract 50 from each side
90-50≤ 50-50+2c
40 ≤ 2c
Divide by 2
40/2 ≤ 2c/2
20 ≤ c
She must sell as least 20 candles
Answer:
u=30
x=150
z=150
y=30
Step-by-step explanation:
u=y [ being vertically opposite angle]
x+u=180[ being linear pair]
x+30=180
x=180-30
x=150
z=x[being vertically opposite angle]
z=150
y=u[ being voa]
Answer:
The linear function that discribes the size of the population in function of the t in years is p = 700t - 1,397,300
Step-by-step explanation:
A linear function is defined by a line, so in order to determine the linear function we can use the two points that were given to us to create a line equation and use that as our linear function. The points given to us were (2009; 9000) and (2014; 12500), in this case the year is our value of "x" and the size of the population is our value of "y". The first step is to find the slope of the line which is given by:
m = (y2 - y1)/(x2 - x1)
m = (12500 -9000)/(2014 - 2009) = 3500/5 = 700
Then we can use the slope and the first point to build the equation:
p - 9000 = 700*(t - 2009)
p = 700t - 1406300 + 9000
p = 700t - 1397300
Answer:
He will finish the biking at 6:30 pm
Step-by-step explanation:
1/4 hour is same as 1/4 * 60 = 15 minutes
1 2/5 miles is same as 1.4 miles
He bikes 1.4 miles in 15 minutes
then he will bike 14 miles in 15 * 10 = 150 minutes
150
minutes is same as 2 hours 30 minutes
Adding this to 4 pm, we will get;
6:30 pm
True, the number 78 is divisible by both 2 and 3.
78/2 = 39
78/3 = 26