Answer:
The answer is below
Step-by-step explanation:
The model is a tile with length 1/4 in. and width 1/6 in while the actual tile has length 1/6 ft. and width 1/9 ft.
Firstly we have to convert the model length and width from inches to feet.
1 feet = 12 inches
model length = 1/4 in. = 1/4 in * (1/12) ft./in = 1/48 ft.
model width = 1/6 in. = 1/6 in * (1/12) ft./in = 1/72 ft.
Therefore:
Ratio of model length to actual length of tile = (1/48 ft.) / (1/6 ft.) = 1 / 8
Ratio of model length to actual length of tile = (1/72 ft.) / (1/9 ft.) = 1 / 8
Area of model tile = length * width = 1/48 ft. * 1/72 ft. = 1/3456 ft²
Area of actual tile = length * width = 1/6 ft. * 1/9 ft. = 1/54 ft²
Ratio of model area to actual area of tile = (1/3456 ft²) / (1/54 ft²) = 1 / 64
Answer:
$681.60
Step-by-step explanation:
<u><em>Given:</em></u>
<em>During a sale, a store offered a 20% discount on a TV that originally sold for $710. After the sale, the discounted price of the TV was marked up by 20%</em>
<u><em>To Find:</em></u>
<em>What was the price of the TV after the markup? Round to the nearest cent.</em>
<u><em>Solution:</em></u>
$710 × (1 + 20%) × (1 - 20%)
$710 × 1.2 × (1-0.2)
$710 × 1.2 × 0.8
($710 × 1.2) × 0.8
852 × 0.8
= $681.60
<u><em>Kavinsky</em></u>
Step-by-step explanation:
Answer: i think (4n+1)^2(4n-1)^2 isnt a multiple of 8 for all integers of n because:
(4n + 1)²(4n - 1)²
= [(4n + 1)(4n - 1)]²
= (16n² - 1)²
= 16².n².n² - 2.16.n² + 1
= 8n²(32n² - 4) + 1
can see 8n²(32n² - 4) is a multiple of 8 but 1 isnt a multiple of 8
=> (4n + 1)²(4n - 1)² isnt a multiple of 8 for all integers of n.
Step-by-step explanation:
Hello,
Please, see the detailed answer in the attached files.
Thanks.
