x - 3y =2
2x+ y =11 | *3
x - 3y = 2
6x +3y=33
--------------
7x =35
x=35:7
x=5
x-3y=2
5-3y=2
3y=5-2
3y=3
y=1
The table is:
Number of washes denoted by x: 0, 8, 12
Amount left on card denoted by y: 30, 18, 12
a. Write an equation that shows the amount of dollars left on the card
Solution:
18 – 30 divided by 8 – 0 = -12/8
On simplest form is -3/2
The equation is y = -3/2x + 30
b. Explain the meaning of the negative slope above.
As the number of car washes increase, the dollars left on the card decreases.
c. What is the maximum value of x?
0 = -3/2x + 30
2/3 x 3/2 x = 30/1 x 2/3
Cancel 2/3 x 3/2 and reduce 30 by 3 we get 10, 10 x 2
x = 20
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2. 11 2/16 that’s for answers number 2
Answer:
10 feet
Step-by-step explanation:
Given,
Volume of right cylinder = 2000 π cubic feet.
Length ( l ) = 20 feet
To find : Radius ( r )
Formula : -
Volume of right cylinder = πr²h
πr²h = 2000 π
Divide π on both sides,
r²h = 2000
r² = 2000 / h
r² = 2000 / 20
r² = 100
= 10 x 10
r²= 10²
r = 10 feet
Hence,
the radius is 10 feet.
