Answer:
64
Step-by-step explanation:
Perfect squares are integers multiplied by themselves.
- 2 times 2 = 4
- 3 times 3 = 9
- 4 times 4 = 15
The closest perfect squares to 54 are 49 (7^2) and 64 (8^2).
49 is less than 54, so that's ruled out.
Therefore, the closest perfect square to 54 that is greater than it is 64.
( 3 1 ) 2 +3 2 =left parenthesis, start fraction, 1, divided by, 3, end fraction, right parenthesis, squared, plus, 3, squared
Fynjy0 [20]
Answer:
I guess that we have the equation:
(1/3)^2 + 3^2 =
And we want to solve it.
Here just remember that:
3^2 = 3*3 = 9
then:
(1/3)^2 = (1/3)*(1/3) = 1/9
replacing these in the expression, we get:
(1/3)^2 + 3^2 = 1/9 + 9
If we want to write this as a single fraction, we can rewrite:
1/9 + 9 = 1/9 + (9/9)*9
= 1/9 + 81/9 = (1 + 81)/9 = 82/9
Answer:
Simplifying
4u = 10.24
Solving
4u = 10.24
Solving for variable 'u'.
Move all terms containing u to the left, all other terms to the right.
Divide each side by '4'.
u = 2.56
Simplifying
u = 2.56
Step-by-step explanation:
For part A, you simply add the two functions a(x) and b(x). The resulting function is then (a+b)(x) = 5x +2.
For part B, you multiply the functions a(x) and b(x). Using the FOIL method, we obtain, 6x^2 -24x + 20x - 80. Simplifying, we get, (a*b)(x) = 6x^2 -4x - 80.
For part C, you replace x in the function a(x) with the expression from b(x). This results to: a[b(x)] = 3(2x - 8) +10. Simplifying, a[b(x)] = 6x - 14.
Answer:1010 adult tickets and 640 child tickets were sold
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of child tickets that were sold.
The total number of tickets sold was 1650. This means that
x + y = 1650
Tickets to a Broadway show cost $35 for adults and $10 for children. The total receipts for 1650 tickets at one performance were $41,750. This means that
35x + 10y = 41750 - - - - - - - - - -1
Substituting x = 1650 - y into equation 1, it becomes
35(1650 - y) + 10y = 41750
57750 - 35y + 10y = 41750
- 35y + 10y = 41750 - 57750
- 25y = - 16000
y = - 16000/-25
y = 640
x = 1650 - y = 1650 - 640
x = 1010
