Answer:
( x - 1 ) × ( x + 1 ) × ( x^2 - 10)
Step-by-step explanation:
x^4 - 11x^2 + 10
x^4 - x^2 - 10x^2 + 10
x^2 × ( x^2 - 1 ) - 10( x^2 - 1 )
( x^2 - 1 ) × ( x^2 - 10 )
( x - 1 ) × ( x + 1 ) × ( x^2 - 10)
Answer:
l = 2.25 cm
Step-by-step explanation:
given l is inversely proportional to w² then the equation relating them is
l = 
← k is the constant of proportion
(i)
to find k use the condition w = 1.5 , l = 16 , then
16 = 
= 
( multiply both sides by 2.25 )
36 = k
l = 
← equation of proportion
(ii)
when w = 4 , then
l = 
= 
= 2.25 cm
Q1. The answer is 53.33
<span>The initial </span>number is 100%. So, make a proportion:
If 8 is 15%, what number is 100%?
8 : 15% = x : 100%
15% * x = 8 * 100%
x = 8 * 100% / 15% = 53.33
Q2. The answer is 2.8425
The initial number 18.95 and it is 100%. How much is its 15%? Make a proportion:
If 18.95 is 100%, what number is 15% of it?
18.95 : 100% = x : 15%
x * 100% = 18.95 * 15%
x = 18.95 * 15% / 100% = 2.8425
Q3. The answer is 509.375%
The initial number is 64 and it is 100%. So, what percent is 326? Make a proportion:
If 64 is 100%, 326 is what percent?
64 : 100% = 326 : x
x * 64 = 326 * 100%
x = 326 * 100% / 64 = 509.375%
Q4. The answer is 400.
The initial number is 100%. Make a proportion:
If 40 is 10%, what number is 100%?
40 : 10% = x : 100%
x * 10% = 40 * 100%
x = 40 * 100% / 10%
x = 400
Let x be the number of adult tickets and y be the number of student tickets.
From the first sentence we can set up both equations:
1) x + y = 48
2) 7x + 3y = 220
Rearrange #1 to isolate x:
x = 48 - y
Sub that into #2 and solve for y to get your answer:
7(48 - y) + 3y = 220
336 - 7y + 3y = 220
-4y = -116
y = 29
29 student tickets were sold.
