Answer:
The Correct option is C ) 25
Therefore the value of x is 25 when y =40.
Step-by-step explanation:
Given:
Variable 'y' is directly proportional to the variable 'x'.
......Direct Variation
Where,
k = Constant of proportionality
To Find:
value of x = ? when y = 40
Solution:
First we need to find Constant of proportionality
When x = 20 and y = 32
Substituting the values we get
Now when k =1.6 , y = 40 then x will be
Therefore the value of x is 25 when y =40.
Answer:
Length: 12 meters
Step-by-step explanation:
Step 1:
Let us start with the formula of the perimeter of a rectangle, , where <em>l</em> represents the length of the rectangle, and <em>w</em> represents the width of the rectangle.
We can set width as variable <em>x</em>. We are also given that the length is three times the width, hence it can be represented as <em>3x</em>.
Step 2:
We can now write our equation and solve for <em>x</em> :
We set <em>x</em> as width, so the width is 4 meters. However, in this problem we are looking for the length. The length is three times the width, so it would be meters.
<em>I hope this helps! Let me know if you have any questions :)</em>
Answer:
0.07525 kilometers
Step-by-step explanation:
1 millimeter = 1 / 1000 meters
250 millimeters
= 250 / 1000
= 0.25 meters
75 meters 250 millimeters
= 75 + 0.25
= 75.25 meters
1 meter = 1 / 1000 kilometers
75.25 meters
= 75.25 / 1000
= 0.07525 kilometers
Follow order of operations.
Distribute what is in the parentheses.
4[6a^2 -2ab +3ab] + 5[3ab + 6b^2 -4ab]
Combine like terms in the brackets.
4[6a^2 + 3ab] + 5[-1ab + 6b^2]
Distribute the 4 and the 5.
24a^2 + 12ab -5ab + 30b^2
Combine like terms.
24a^2 +7ab + 30b^2
That's your final answer:
24a^2 +7ab + 30b^2