Answer:
The numbers are 10 and 5
Step-by-step explanation:
x+y=15
(1/x)+(1/y)=(3/10)
(1/(15-y))+(1/y)=(3/10)
x=10, y=5
Answer:
8:3
16:6
Step-by-step explanation:
First, let's check if 9 and 24 have any common factor. If they do have any common ones, we must find the GCF (greatest common factor).
Factors of 9: 1, 3, 9
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
The common factors both of the numbers share and 1 and 3. To find the GCF, simply compare one of the factors to the other.
1 < 3
Now that we know the GCF, we can divide the two numbers in the ratio 24 : 9 by it (3).
24:9
24/3:9/3
<u>8:3</u>
Now that our ratio is simplified, it's going to be much easier to find more ratios that are equivalent. <u>8:3</u> is already one equivalent ratio, but if we multiply each number in the ratio by any other number, we can get a new equivalent ratio. Let's multiply each number in the ratio by 2:
<u>8:3</u>
8 ⋅ 2:3 ⋅ 2
<u>16:6</u>
<u></u>
So, another equivalent ratio to 24:9 (and <u>8:3</u>) is <u>16:6</u>.
Given :
Number of seats at UGA's Sanford Stadium,
.
Number of seats at Auburn University's Jordan-Hare Stadium,
.
To Find :
How many more seats are there at UGA's stadium.
Solution :
Extra seats at UGA's stadium = seats at UGA's Sanford Stadium - seats at
Auburn University's Jordan-Hare Stadium
= 92,746 - 87,451
= 5295
Hence, this is the required solution.
Answer:
x = 2
Step-by-step explanation:

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

→ Expand the brackets

→ Multiply everything by 12 to make solving the equation easier
6x - 6 - 2x - 2 = 0
→ Simplify equation
4x - 8 = 0
→ Add 8 to both sides to isolate 4x
4x = 8
→ Divide by 4 on both sides to isolate x
x = 2
⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct

⇒ Substitute in the values

⇒ Simplify

⇒ Simplify further

0 = 0
The solution x = 2 is correct