Answer:
y = 28
Step-by-step explanation:
Given that y varies directly as x and inversely as z then the equation relating them is
y =
← k is the constant of variation
To find k use the condition y = 4 when x = 2 and z = 7, then
4 =
( multiply both sides by 7 )
28 = 2k ( divide both sides by 2 )
14 = k
y =
← equation of variation
When x = 6 and z = 3 , then
y =
= 14 × 2 = 28
Answer:
- 1700: $50
- 2000: $60
- 7000: $90
Step-by-step explanation:
You can read the answers from the graph. Find the usage on the horizontal scale, and look at the vertical scale to find the corresponding charge.
__
<h3>1700 gallons</h3>
The value 1700 is between 1000 and 2000, so will be between 1 and 2 on the horizontal scale. The graph is flat in that region. The charge is $50.
__
<h3>2000 gallons</h3>
The graph has a jump at 2 on the horizontal scale. The solid dot tells you that the charge is $60.
__
<h3>7000 gallons</h3>
At 7 on the horizontal scale, the graph is increasing from 80 to 100. At 7000 gallons, the line passes through the grid intersection indicating the charge is $90.
Answer:
17/7
Step-by-step explanation:
2g+2(-8+2g)=1-g
2g-16+4g=1-g
6g-16=1-g
6g-(-g)-16=1
6g+g=1+16
7g=17
g=17/7
Final price=original price*(100%- discount 1)(100%-discount 2)
original price=$40
discount 1=25%⇒ 100 - discount 1=100%-25%=75%=75/100=0.75
discount 2=15%⇒ 100 - discount 2=100%-12%=85%=85/100=0.85
original price=$40(0.75)(0.85)=$25.5
Answer: $25.5