Answer:
the number of pensioners in the sample is 40
Step-by-step explanation:
The computation of the number of pensioners in the sample is shown below:
Given that
The Ratio of children to adult visitors is 1:2
The ratio of adults to pensioners is 3:4
And, the total number of seats is 85
Based on the above information,
The common ratios we could write as
1.5 : 3 : 4
Now we doubled it
3 : 6 : 8
So, the number of pensioners in the sample is
= 85 × 8 ÷ (3 + 6 +8)
= 40
Hence, the number of pensioners in the sample is 40
50 = 25 + 0.50w - 0.25w
50 = 25 + 0.25w
50 - 25 = 0.25w
25 = 0.25w
25/0.25 = w
w = 100.
Answer:
x^2 - 6x + 9.
Step-by-step explanation:
f(x) = x^2 and g(x) = x - 3.
To find f(g(x)) we replace the x in f(x) by g(x).
f(g(x)) = (x - 3)^2
= x^2 - 6x + 9.
Answer:
3⁸ or 6561
Step-by-step explanation:
First, let's look at PEMDAS - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
There are no parentheses, so let's solve the exponents.
3² • 9³
3² = 9
9³ = 729
Your expression is:
9 • 729
Now let's multiply.
= 6561
This number can also be expressed with exponents.
Since 9 = 3², 9³ = 3²⁽³⁾
Now your expression is:
3² • 3²⁽³⁾
First, solve the exponents by multiplying.
3² • 3⁶
When you multiply two expressions with exponents that have the same base (3), you add the exponents.
3² • 3⁶ = 3⁽²⁺⁶⁾ = 3⁸
3⁸ also equals 6561.
Your answer is 3⁸ or 6561.
Hope this helps!
