Simplify the following:
(3 + 1/3)/(2 + 2/5)
Put 2 + 2/5 over the common denominator 5. 2 + 2/5 = (5×2)/5 + 2/5:
(3 + 1/3)/((5×2)/5 + 2/5)
5×2 = 10:
(3 + 1/3)/(10/5 + 2/5)
10/5 + 2/5 = (10 + 2)/5:
(3 + 1/3)/((10 + 2)/5)
10 + 2 = 12:
(3 + 1/3)/(12/5)
Put 3 + 1/3 over the common denominator 3. 3 + 1/3 = (3×3)/3 + 1/3:
((3×3)/3 + 1/3)/(12/5)
3×3 = 9:
(9/3 + 1/3)/(12/5)
9/3 + 1/3 = (9 + 1)/3:
((9 + 1)/3)/(12/5)
9 + 1 = 10:
(10/3)/(12/5)
Multiply the numerator by the reciprocal of the denominator, (10/3)/(12/5) = 10/3×5/12:
(10×5)/(3×12)
The gcd of 10 and 12 is 2, so (10×5)/(3×12) = ((2×5) 5)/(3 (2×6)) = 2/2×(5×5)/(3×6) = (5×5)/(3×6):
(5×5)/(3×6)
3×6 = 18:
(5×5)/18
5×5 = 25:
Answer: 25/18
Answer: 60 hours.
Step-by-step explanation:
Let be "x" the amount of hours Nick practice in March and "y" the amount of hours Nick plans to practice in April.
Set up a system of equations:
Applying the Substitution Method, we can substitute the first equation into the second equation in order to find the value of "y". Therefore you get this result:
X^4/x^7
Answer:
1/x^3
Step-by-step explanation:
apply the exponent rule: x^a/x^b = 1/x^b-a
7-4=3
1/x^3
Answer: 3 feet 9 inches
Step-by-step explanation: Hopes this helps
To find the square footage of the tree wrap needed, calculate the area by multiplying the height and width of the wrap. Then, convert the square inches to square feet by dividing by 144.
To find the square footage of the tree wrap needed, we need to calculate the area of the wrap that will be wrapped around the tree. The height of the tree wrap is given as 45 inches. To find the width of the tree wrap, we need to measure the circumference of the tree. Let's say the circumference of tree 1 is 120 inches. To calculate the width, we divide the circumference by 3.14 (pi). So, the width is approximately 38.22 inches (rounded to two decimal places).
To calculate the area of the wrap, we multiply the height by the width. In this case, the area is approximately 1719.9 square inches (rounded to one decimal place). To convert this to square feet, we divide by 144 (since there are 144 square inches in a square foot). So, the approximate square footage of wrap needed is 11.94 square feet.
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