Answer:
Step-by-step explanation:
First you need to break the shape up to rectangles to make it easier to solve.
bottom rectangle : 15 x 3 = 45m^2
Top rectangle : 12 x 3=36m^2
Middle rectangle : 12-3-3=6 (because we already solved the top and bottom part of it)
we need to work out the base so we do 15-5= 5cm
6 x 5 = 30m^2
add them all together
30+36+45=111m^2
Loosely, "varies inversely" means that as one quantity increases, the other decreases. Specifically, if x and y vary inversely, then y = k/x where k is some constant (a particular number).
Another way to write that relationship is xy = k. To find the value of k for this problem, you need a numbers for x and y that go together.
Suppose x = number of children and y = number of candies (it doesn't matter what order these go in as long as you keep track!).
"When 12 children are present, 140 pieces of candy are consumed." So when x = 12, the value of y = 140.
xy = k
(12)(140) = k
1680 = k
Now, when x = 8 children,
8y = 1680
y = 210
2(x-3)=2x-6 This is distributive property.
2(x-3)= 2x - 2*3 = 2x-6
Answer:
3/8 = 9/24
Step-by-step explanation:
So here we have a basic multiplication problem and finding the LCM of 8 and 3. The first step in this problem is finding the LCM of 3/8. The LCM of 3 and 8 is 24. So yay! we have the bottom half of our answer!
Ex.-
The LCM of 8 and 3 is 24.
So now we have to find an equivalent fraction. Since we already know that 8 (the denominator in the original equation) can be multiplied by 3 to equal 24, we use 3 (the numerator in the original equation) and multiply it by itself to get an equivalent fraction.
Ex.-
8 x 3 = 24
3 x 3 = 9
Now that we have our numerator and denominator, all we have to do now is put them together to get our answer.
Ex.-
9/24 (answer) = 3/8 (original equation)
Hopefully I could help! :)
Lime m is neither because it does not have the opposite reciprocal nor same slope.
Line n is perpendicular because it has the opposite reciprocal.
Line p is neither because it does not have the opposite reciprocal nor same slope.
Line q is parallel because it has the same slope.
