Here we are asked to find the smallest number which must be multiplied to 240 to make it a perfect square .
So , lets do prime factorisation of 240 .
Here , 240 = 2 × 120 .
= 2 × 2 × 60.
= 2 × 2 × 2 × 30.
= 2 × 2 × 2 × 2 × 3 × 5 .
Hence we got 240 = 2⁴ × 3¹ × 5¹ .
Now here we can see that , in order to make a perfect square it should be multiplied by 3 × 5 = 15 in order to make power of prime factors even .
Answer: Heyaa! :)
Your Answer is..<u> </u><u><em>y = − x / 2+ 3 / 2</em></u>
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hopefully this helps <em>you !</em>
<em />
- Matthew ~`
Substitute what you know y is equal to into the equation:
y = x + 2
3/2x - 2 = x + 2
Then you can simplify your equation by multiplying both sides by 2 to eliminate the fraction which will give you:
3x - 4 = 2x + 4
Add the -4 to the other side to get 8 and subtract the 2x from the 3x so you have:
x = 8 Now solve for y by substituting your value for x into the other equation:
y = 3/2(8) - 2 Simplify by combining your numbers and you get:
y = 10 Check your answer by substituting y and x into the original equation:
(10) = (8) - 2
Correctly done! So your answers are x = 8 and y = 10
48 ounces converted into pounds would equal to 3 pounds.