Answer: 3/4 feet
Step-by-step explanation:Conversion a mixed number 3 5/
12
to a improper fraction: 3 5/12 = 3 5/
12
= 3 · 12 + 5/
12
= 36 + 5/
12
= 41/
12
To find new numerator:
a) Multiply the whole number 3 by the denominator 12. Whole number 3 equally 3 * 12/
12
= 36/
12
b) Add the answer from previous step 36 to the numerator 5. New numerator is 36 + 5 = 41
c) Write a previous answer (new numerator 41) over the denominator 12.
Three and five twelfths is forty-one twelfths
Conversion a mixed number 2 2/
3
to a improper fraction: 2 2/3 = 2 2/
3
= 2 · 3 + 2/
3
= 6 + 2/
3
= 8/
3
To find new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3
b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8
c) Write a previous answer (new numerator 8) over the denominator 3.
Two and two thirds is eight thirds
Subtract: 41/
12
- 8/
3
= 41/
12
- 8 · 4/
3 · 4
= 41/
12
- 32/
12
= 41 - 32/
12
= 9/
12
= 3 · 3/
3 · 4
= 3/
4
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(12, 3) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 12 × 3 = 36. In the next intermediate step , cancel by a common factor of 3 gives 3/
4
.
Answer:
(9)(9) = .013. (53). 2. A company that manufactures video cameras produces a basic model and a deluxe model. In the past, 40% of cameras sold have been the basic model. Of those basic models sold, 30% of purchasers buy the extended warranty as well. Of the deluxe models sold, 50% purchase the extended warranty,.
Answer:
<u>8 home theaters are sold for each $ 500 spent on advertising </u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Advertising ($) 1,000 - $ 2,000 - $ 3,000
Home Theaters 16 - 32 - 48
2. How many home theaters does the company sell for each $500 spent on advertising?
As we can see in the graph:
16 home theaters are sold when the amount on advertising is $ 1,000
32 home theaters are sold when the amount on advertising is $ 2,000
48 home theaters are sold when the amount on advertising is $ 3,000
Therefore, we can use this ratio:
x = Number of home theaters that are sold when the amount on advertising is $ 500
16/1,000 = x/500
1,000x = 500 *16
1,000x = 8,000
x = 8,000/1,000
<u>x = 8</u>
The second one they do not have to pass trough (0,0)
