The garden view hotel is 235 feet tall
Step-by-step explanation:
The given is:
- The garden view hotel is seventeen less than twice the height of the plaza hotel
- Their combined height is 361 feet
We need to find the height of the garden view hotel
Assume that the height of garden view hotel is x feet and the height of the plaza hotel is y feet
∵ The height of the garden view hotel = x feet
∵ The height of the plaza hotel = y feet
∵ The height of the garden view hotel is 17 less than twice the
height of the plaza hotel
- That means x is less than 2 × y by 17, equate x by the difference
of 2 × y and 17
∴ x = 2y - 17 ⇒ (1)
∵ Their combined height = 361 feet
∴ x + y = 361
- Find y in terms of x by subtraction x from both sides
∴ y = 361 - x ⇒ (2)
Substitute y in equation (1) by equation (2)
∵ x = 2(361 - x) - 17
- Simplify the right hand side
∴ x = 722 - 2x - 17
- Add like terms
∴ x = 705 - 2x
- Add 2x to both sides
∴ 3x = 705
- Divide both sides by 3
∴ x = 235
The garden view hotel is 235 feet tall
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Answer:
Step-by-step explanation:
Yoga Fun's price is represented by 65+12c where c represents classes.
Yoga For All's price is represented by 15c where c represents classes.
We notice that for the prices to be equal, 65+12c must equal 15c. This means that we take the difference, which shows that 65 must equal 3c. We divide to determine we must take 21.666... classes for the prices to be equal.
Answer:
172 cm
Step-by-step explanation:
The total height of the first 7 people is the average of the 7 people multiplied by the number of people, which is 156 * 7 or 1092. Using the same method, the total height of the first 8 people is 158*8 or 1264. The eighth person must be 1264 - 1092 cm tall or 172 cm tall.
A would be the correct answer:) hope this helps!!
