Answer:
74/45
Step-by-step explanation:
First convert 1 1/5 to an improper fraction (6/5)
Then you are going to need to look for a least common denominator between 6/5 and 4/9
The least common multiple between 5 and 9 is 45
Now you need to get the denominator of each fraction to 45 so that you can add them
To get 6/5 to have a denominator of 45, you will need to multiply the denominator (5) by 9. REMEMBER- whatever you do to the bottom you must also do to the top
If you multiply the 5 by 9, you must also multiply the 6 at the top by 9
So now you have 54/45 for the second fraction
To get the first fraction with a denominator of 45 you must multiply everything by 5 (20/45)
Now you can simply add straight across (54+20=74)
Remember to keep the denominator the same and you should end up with 74/45 (This cannot be simplified)
Answer:
{x,y} = {3/7,-43/7}
Step-by-step explanation:
System of Linear Equations entered :
[1] x + 3y = -18
[2] -x + 4y = -25
Graphic Representation of the Equations :
3y + x = -18 4y - x = -25
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = -3y - 18
// Plug this in for variable x in equation [2]
[2] -(-3y-18) + 4y = -25
[2] 7y = -43
// Solve equation [2] for the variable y
[2] 7y = - 43
[2] y = - 43/7
// By now we know this much :
x = -3y-18
y = -43/7
// Use the y value to solve for x
x = -3(-43/7)-18 = 3/7
Solution :
{x,y} = {3/7,-43/7}
B.<span>Adding 15 to both sides of the equation.
A. Adding 8x to both sides wouldn't cancel anything out.
B. Adding 15 to both sides will cancel out 15 making it easier to solve for x.
C.Adding 3 to both sides will not cancel anything out.
D. Adding 2x to both sides won't cancel anything out. </span>
Answer:
I wanna say 35 \cm
Step-by-step explanation:
The new pool is 18.84 feet larger in circumference than the old one.
<u>Explanation:</u>
Given:
Circumference of the pool = 47.1 feet
Diameter of the new pool, d = 21 feet
radius, r = 21/2 feet
Circumference of the new pool = ?
We know:
Circumference = 2πr
where,
r is the radius
On substituting the value:
C =
C = 65.94 feet
The difference in circumference of the two pools = 65.94 - 47.1 feet
= 18.84 feet
Therefore, the new pool is 18.84 feet larger in circumference than the old one.