Answer:
The longer length is either 99, 33 or 11 inches
Step-by-step explanation:
Given

Required
The length of the longer side
Area of a rectangle is:

List out all possible products that give 99 [Assume the dimension are whole numbers]



List out the longer factors

<em>Hence, the longer length is either 99, 33 or 11 inches</em>
Set up a proportion
EA / EB = ED/ EC
16 / (5x + 2 + 16) = 12 / (12 + 24)
16/(5x + 18) = 12 / 36 Cross multiply
16 * 36 = (4x + 18)*12 Remove the brackets
576 = 48x + 216 Subtract 216 from both sides.
360 = 48x Divide by 48
360/48 = x
7.5 = x
Option A
<u>Answer:
</u>
The value of x in the equation 2(x - 3) + 5x = 5(2x + 6) is -12
<u>Solution:
</u>
From question given that
2(x - 3) + 5x = 5(2x + 6)
Open the brackets,
2x – 6 + 5x = 10x + 30
Rewrite the above equation,
2x + 5x – 6 = 10x + 30
On simplifying the above equation, we get
7x – 6 = 10x + 30
Now adding 6 on both sides,
7x – 6 + 6 =10x + 30 + 6
7x = 10x + 36
On subtracting 10x on both sides,
7x - 10x = 10x + 36 - 10x
-3x = 36
On dividing -3 on both sides,
x = -12
Hence on simplifying 2(x - 3) + 5x = 5(2x + 6) we get value of x is -12. Hence Option (A) is correct.
1/10
hope this helps u out!
Answer:
2/21
Step-by-step explanation:
17/21 -(3/7 + 2/7)
First you add
=17/21 - (5/7)
Then you want to subtract
=2/21