Answer:
C. SUBTRACT (2x) from both sides in the bottom equation
Step-by-step explanation:
Given
Required
The first step of a substitution method
In the second equation, notice that the coefficient of y is 1.
So, the first step is to make y the subject of the formula.
This is achieved by subtracting 2x from both sides of the equation.
<em>Hence: (c) is true</em>
Answer:
210 stamps
Step-by-step explanation:
<u>Given:</u>
- Arthur ⇒ a = 3 k
- Yusuf ⇒ y = 5k
- Bill ⇒ b = 6k
<u>Yusuf gave </u><u>x</u><u> stamps to Arthur, then:</u>
<u>Bill gave Arthur 42 stamps more than Yusuf gave to Arthur, then:</u>
- b = 6k - (x+42)
- a = 3k + x + x + 42
<u>Now all 3 have same amount of stamps:</u>
- 5k -x = 6k - x - 42 = 3k + 2x + 42
<u>From the first part of the equation we get:</u>
- 6k - 5k = 42 + x - x
- k = 42
<u>How many stamps did Yusuf have at first?</u>
- y = 5k
- y =5*42
- y = 210 stamps
Yusuf had 210 stamps at first
Answer:
Step-by-step explanation:
GIVEN: Suppose you want to make a cylindrical pen for your cat to play in (with open top) and you want the volume to be cubic feet. Suppose the material for the side costs per square foot, and the material for the bottom costs per square foot.
TO FIND: What are the dimensions of the pen that minimize the cost of building it.
SOLUTION:
Let height and radius of pen be
Volume
total cost of building cylindrical pen
for minimizing cost , putting
Hence the radius and height of cylindrical pen are and respectively.
The slope-intercept form of the equation of a line is
y = mx + b,
where
m = slope and b = y-intercept.
The point (0, 3) is the y-intercept, so b = 3.
The slope is -2, so m = -2.
y = mx + b
y = -2x + 3