Answer:
#1 is 60/10
Step-by-step explanation:
To find the length of the table, multiply the area by the reciprocal of the width. Convert the mixed number to an improper fraction and then solve the equation. Simplify the resulting fraction, if possible.
To find the length of the table, we can use the formula for the area of a rectangle, which is length multiplied by width. In this case, we are given the area of the table as 27 1/8 square feet and the width as 3 1/2 feet. So, we can set up the equation: 27 1/8 = length × 3 1/2.
First, we need to convert the mixed number 27 1/8 to an improper fraction. Multiply the whole number (27) by the denominator (8) and add the numerator (1), then write the result over the denominator: 27 × 8 + 1 = 217/8.
Now we can solve the equation: 217/8 = length × 3 1/2. To isolate the variable, we can multiply both sides of the equation by the reciprocal of 3 1/2, which is 2/7. This cancels out the fraction on the right side, giving us: length = (217/8) × (2/7).
To multiply fractions, we multiply the numerators together and the denominators together: length = (217 × 2) / (8 × 7) = 434/56. This fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 2: length = 217/28.
So, the length of the table is 217/28 feet.
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Answer:
100%
Step-by-step explanation:
Below are the steps and answers
Lee sold 60 magazine
Step-by-step explanation:
Terrence and Lee were selling magazines for a charity
We need to find how many magazines Lee sold
Assume that Lee sold x magazines
∵ Terrance sold 30% more than Lee in the first week
∵ Lee sold x magazines in the first week
- Find 30% of x and add it to x to find how many magazines
Terrance sold
∵ Terrance sold = 30% × x + x
∴ Terrance sold = × x + x = 0.3 x + x
∴ Terrance sold = 1.3 x magazines in the first week
∵ Terrance sold 12 magazines in the second week
- Add 1.3 x to 12 to find the number of magazines that Terrence
sold in the two weeks
∴ Terrence sold 1.3 x + 12 magazines in the two weeks
∵ Lee did not sell any in the next week
∴ Lee sold x magazines in the two weeks
∵ Terrance sold 50% more than Lee by the end of the 2nd week
- Equate 1.3 x + 12 by the sum of x and 50% of x
∴ 1.3 x + 12 = 50% × x + x
∵ 50% × x = × x = 0.5 x
∴ 1.3 x + 12 = 0.5 x + x
- Add the like terms in the right hand side
∴ 1.3 x + 12 = 1.5 x
- Subtract 1.3 x from both sides
∴ 12 = 0.2 x
- Divide both sides by 0.2
∴ 60 = x
Lee sold 60 magazine
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Sedan:
Minivan:
Truck:
Answer:
Sedan: ✔ 18
Minivan: ✔ 19
Truck: ✔ 16
Step-by-step explanation:
just made it to understand