Can someone please simplify 3 1/3 divided by 2 2/5 please

Answers

Answer 1
Answer:

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


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A certain colony of bacteria triples in length every 10minutes it's length is now 1millimeter how long will it be in 40minutes

Answers

Bacteria length = 1mm

It will triple four times by 40 min.

This can be shown as 3 to the power of 4; 3⁴ = 81

Original length * growth factor = final length

1 mm * 81 = final length

81 = final length

After 40 mins, the bacteria colony will be 81 mm in length.

in march, nick practice soccer for 42 hours. in April nick wants to get even better at soccer and plans to ptactice 18 hours more than he did last month. write an equation to find out how many hours nick plans to practice soccer in april​

Answers

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:

\left \{ {{x=42} \atop {y=x+18}} \right.

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:

y=x+18\n\ny=(42)+18\n\ny=60

Mario is making a diagram that shows the relationship between diferent kinds of quadrilaterals. in the diagram each quadrilateral on a lotería leves can algo be described by the quadrilaterals abovedado it on higher leves

Answers

yes it can becuase it is a quadrilateral
yes, of course, cuz' it is obviously quadrilateral.
hope that this helps you. =)

Simply the exponent
X^4/x^7

Answers

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

What is a common factor of 34

Answers

You need to give 2/more numbers to obtain a common factor.
sorry you need 1 more to find the common factor

In year 13, the scientist will put tree wrap around tree 1 to protect it from the winter snow. The height of the tree wrap needs to be 45 inches.The wrap is priced by the square foot. To the nearest square foot, how many square feet of wrap does she need?

Answers

Answer: 3 feet 9 inches

Step-by-step explanation: Hopes this helps

Final answer:

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.

Explanation:

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.

Learn more about Calculating square footage here:

brainly.com/question/32401947

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