Answer:
149
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence.
5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 3 , thus
a₅₀ = 2 + (49 × 3) = 2 + 147 = 149
<u>Answer:</u>
$6.00
<u>Step-by-step explanation:</u>
To solve this problem, we have to construct two separate equations for each family, and then use any of the methods for solving simultaneous equations.
Let's consider <em>h </em>to represent the cost of 1 hot dog, and <em>w </em>to mean the cost of 1 water bottle.
• For the first family:
We can rearrange the equation to make <em>w</em> the subject:
⇒
⇒
• For the second family:
Since we have previously obtained an expression for <em>w</em> in terms of <em>h</em>, we can substitute that expression for <em>w</em> in the above equation, and then solve for <em>h</em>:
⇒
⇒
⇒ [Multiplying both sides of the equation by 3]
⇒
⇒
⇒
∴ The price of one hot dog is $6.00.