Answer:
2x + 4y = $50
x = $5, and y = $10
Step-by-step explanation:
let the price of student's ticket be represented by $x, and that of adult by $y. So that:
2x + 4y = $50 ................ 1
But, given that adult tickets are $5 more that student tickets.
i.e y = x + $5 ................. 2
Substitute equation 2 into 1, to have;
2x + 4(x + $5) = $50
2x + 4x + $20 = $50
6x = $30
x = $5
From equation 2,
y = 5 + 5
= $10
Therefore, the price of student tickets is $5 and adult tickets is $10.
Given parameters:
Terms of the sequence = 7/8 , 3/4 , 9/14
From terms, we know that our first term is ![\frac{7}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B8%7D)
We need find either of the common difference or the common ratio of this sequence.
For this, the common ratio is applicable.
Common ratio = ![\frac{3}{4} / \frac{7}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%2F%20%5Cfrac%7B7%7D%7B8%7D)
This is the factor by which when we multiply the subsequent terms with results into them;
Solving the above gives ![\frac{6}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B7%7D)
The common ratio is 6/7.
To find the nth of this sequence we apply the formula below;
A
= Arⁿ⁻¹
Aₙ is the term we are looking for
A is the first term of the sequence
r is the common ratio
n is the position of the term
So for any nth term in this sequence;
Aₙ =
x
ⁿ⁻¹
We can use the above solution to find any term in the sequence.
It's also 53 degrees, or the second choice. Hope this helps!
Answer:
Step-by-step explanation:
1. <u>All vehicles on the highway have exactly four wheels</u>
2. <u>All states in the United states share a border with another state</u>
3. <u>All plurals end with the letter s</u>
4. <u>The difference between two integers is always positive</u>
5. <u>All pentagons have exactly five congruent side</u>
6. <u>All numbers that are divisible by 3 are also divisible by 6</u>
- 9 is divisible by 3 but not divisible by 6
7. <u>All whole numbers are greater than their opposites</u>
8. <u>All prime numbers are odd integers</u>