Answer:
Option C. Yes; y=2x
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
so
In this problem
For x=0, y=0
That means ----> the line passes through the origin
<em>Find the value of k</em>
For x=2, y=4
----> 
For x=4, y=8
----> 
The values of k are equal
therefore
The table represent a direct variation
The equation is equal to
There are 90 hats all together. from just red the fraction is 20/90. 20 divide by 90 = .22
there is a 22% chance.
Answer:
The correct answer is option A. Base = 11 cm and height = 13 cm
Step-by-step explanation:
It is given that, height of a triangle is 2 cm more than its base.Then height is increased by 2 cm.Then the area of triangle becomes 82.5 cm²
<u>To find the base an d height of original triangle</u>
Let x be the original base 'b' then the height h = x + 2
New height h = x + 2 + 2 = x + 4
Area = bh/2
82.5= (x(x + 4)/2
165 = x² + 4x
x + 4x - 165 = 0
Solving we get x = 11 and x = -15
Take positive value x = 11
Therefore base = 11 and height = x + 2 = 13 cm
The correct answer is option A. Base = 11 cm and height = 13 cm
Both solutions:
x = -1, -7/3
Answer:
During 15 hour period, 1409.7 mg of dextrose will be delivered.
The flow rate of dextrose per hour will be 93.98 mg/hour.
Step-by-step explanation:
If a total of 3.81 liters of the solution is given over a 15 hour period.
Now, 1 liter is equivalent to 1000 ml
So, a total of 3810 ml of the solution is given over a 15 hour period.
If 100 ml of solution contains 37 mg of dextrose, then 3810 ml of the solution will contain 
mg of dextrose.
So, during the 15 hour period, 1409.7 mg of dextrose will be delivered.
The flow rate of dextrose per hour will be 
mg/hour. (Answer)
