we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x
so
for x = 3, y = 16 -------> 16*3=48
and when
x = 6, y = 8--------> 8*6=48
the value of k=48
the inverse variation equation is
y=48/x
therefore
the answer is
y=48/x
Population of moose in the national park = 240
percentage increase in the population of moose in the national park after a year = 25%
Then
Amount of increase in the population
Of moose in the national park in a year = (25/100) * 240
= 240/4
= 60
So
The number of moose present after 1 year
in the national park = 240 + 60
= 300
So from the above deduction we can easily conclude that the number of moose in the national park after a year is 300.
Given:
Chung has 6 trucks and 5 cars in his toy box.
Brian has 4 trucks and 5 cars in his toy box.
To find:
The correct comparison of their ratios of trucks to cars.
Solution:
The ratio of trucks to cars is defined as:
Chung has 6 trucks and 5 cars in his toy box. So, the ratio of trucks to cars is:
Brian has 4 trucks and 5 cars in his toy box.
We know that,
Therefore, the correct option is D.
Answer:
Step-by-step explanation:
First, you need to get one like term in each equation the same in order to eliminate. To do less damage to the equation, we'll use the x terms.
To get the x terms the same, multiply both <em>equations</em> by the opposite x term:
Simplify by multiplying. Use the distributive property for the left side (remember, two negatives make a positive and a negative multiplied by a positive will always be negative):
Now subtract all like terms. The x terms cancel out:
Now solve the new equation for y. Isolate the variable by using inverse operations. The term can be seen as -29×y. In order to isolate the variable, use division (opposite of multiplication). Divide both sides by 29:
Make the variable positive. Multiply both sides by -1:
The value of y is -2. Insert this value into either original equation:
Solve for x. Simplify multiplication:
Use inverse operations to get like terms on the same side of the equation. Add 10 to both sides (addition is the opposite of subtraction) to cancel out the -10 on the left:
Isolate the variable using inverse operations. The x term can be seen as 2×<em>x</em>. Division is the opposite of multiplication, so divide both sides by 2:
The value of x is -3. Therefore, the solution to the system is:
:Done
36 ÷ 3 = 12
12 x 30 = 360 (mins)
The answer is that it would take you 360 minutes to ski a distance of 36 miles.
or you could say: t would take you 6 hours to ski a distance of 36 miles.