Answer: 4
Step-by-step explanation:
The formula for inverse proportion is x = k / y. Since x is inversely proportional to the square root of y. This will be:
x = k / ✓y
When x = 12, y = 9
We have to calculate the constant of proportionality, k which will be:
12 = k / ✓9
12 = k / 3
k = 12 × 3
k = 36
To find the value of x when y = 81 will be:
x = k / ✓y
x = 36 / ✓81
x = 36 / 9
x = 4
Therefore, x = 4 when y = 81.
Answer:
y = (3/5)x + 3
Step-by-step explanation:
You can see immediately that the y-intercept is (0, 3).
As we go right from the point (-5, 0) to the point (0, 3), x increases by 5 and y increases by 3. Thus, the slope of this line is m = rise / run = 3/5.
Starting with the generic y = mx + b, we get y = (3/5)x + 3.
Answer:
16 blueberries and 4 strawberries
Step-by-step explanation:
Given:
A bowl contains blueberries and strawberries there are a total of 20 berries in the bowl.
The ratio blueberries to strawberries is 4 to 1
Question asked:
How many of each berry are in the bowl ?
Solution:
Ratio of blueberries and strawberries = 4 : 1
Let ratio be 
Number of blueberries in the bowl = 
Number of strawberries in the bowl = 
As total berries in the bowl are 20 and the bowl contains both blueberries and strawberries in the ratio 4 : 1 :-
Dividing both sides by 5
Number of strawberries in the bowl = = 4
Number of blueberries in the bowl = = 
Thus, there are 16 blueberries and 4 strawberries in the bowl.
You would move over the -2 making the equation look like this 4x>3x+7. Then move the 3x to the other side of the equation making it look like this 1x>7. Thus the answer is x>7.
