Answer:
4:1
Step-by-step explanation:
x+20 : y+20 = 5 : 2
(x+20)/(y+20) = 5/2
2(x+20) = 5(y+20)
2x+40 = 5y+100
2x = 5y+60 (1)
x-5 : y-5 = 5:1
(x-5)/(y-5) = 5/1
x-5 = 5(y-5)
x-5 = 5y-25
x = 5y-20 (2)
Solve (1) & (2) simultaneously,
2(5y-20) = 5y+60
10y-40 = 5y+60
5y = 100
y = 20
x = 5y-20
x = 5(20)-20 = 100-20
x = 80
x:y
80:20
4:1
Answer:
2. ΔABC is isosceles
Step-by-step explanation:
Given : m∠A = 50
m∠BCD = 180 - (m∠BDC + m∠DBC)
= 180 - (100 + 30)
= 50
then
m∠A = m∠BCD
therefore ΔABC is isosceles
The answer is 51 because 180-139=51
I believe the answer is B
For this case, the first thing to do is find the equation of the line in order to model the problem mathematically.
Using Excel (see attached image) we find that the equation of the line is:
y = 0.0035x - 3 We evaluate for:
For x = 7000: y = 0.0035 * (7000) - 3
y = 21.5 $
For x = 10000 y = 0.0035 * (10000) - 3
y = 32 $
For x = 13000 y = 0.0035 * (13000) - 3
y = 42.5 $
Answer: The total water cost when the barber shop uses 7,000 gallons, 10,000 gallons, and 13,000 gallons is: 21.5 $, 32 $, 42.5 $, respectively.