Answer:
Members of Singing group will buy minimum 135 number of balcony tickets.
Step-by-step explanation:
Given:
Minimum of tickets will be bought =250
Let number of lawn tickets be 'l'.
Also Let number of balcony tickets be 'b'
Now given
The group buys 20 fewer lawn tickets than balcony tickets.
Framing in equation form we get;
Now The Sum of Number of balcony tickets and Number of lawn tickets should be greater than or equal to Minimum of tickets will be bought by the group.
Framing in equation form we get;
Now substituting the value of 'l' in above equation we get;
Now we know the value of b which is 135 we will substitute in equation to find the value of l we get;
Hence Members of singing group will buy minimum 135 number of balcony tickets.
It’s a 90 degree angle so 90 -22 = 68
(I’m not sure it’s right)
Answer:
well I am going to say A
Step-by-step explanation:
it
just
seems
like
it
makes
more
sense
in
my
head
Answer:
6 cm by 17 cm
Step-by-step explanation:
The area is the product of the dimensions; the perimeter is double the sum of the dimensions.
So, we want to find two numbers whose product is 102 and whose sum is 23.
102 = 1·102 = 2·51 = 3·34 = 6·17
The last of these factor pairs has a sum of 23.
The dimensions are 6 cm by 17 cm.
Note the binomial expansion,
(<em>a</em> + 1/<em>a</em>)³ = <em>a</em> ³ + 3<em>a</em> + 3/<em>a</em> + 1/<em>a</em> ³
so
<em>a</em> ³ + 1/<em>a</em> ³ = (<em>a</em> + 1/<em>a</em>)³ - 3 (<em>a</em> + 1/<em>a</em>)
Similarly,
(<em>a</em> + 1/<em>a</em>)² = <em>a</em> ² + 2 + 1/<em>a</em> ²
We're given <em>a</em> ² + 1/<em>a</em> ² = 79, so
(<em>a</em> + 1/<em>a</em>)² - 2 = 79
(<em>a</em> + 1/<em>a</em>)² = 81
<em>a</em> + 1/<em>a</em> = ±9
but <em>a</em> > 0, so we ignore the negative solution.
Then
<em>a</em> ³ + 1/<em>a</em> ³ = 9³ - 3×9 = 702
