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azamat
3 years ago
13

What is the mixed number of 2 1/5 and 5/9

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0

Answer:

11 and 5/9ths is the mixed number!

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John wants to make cookies. To make cookies, he need 2 over 3 of a cup of flour per batch of cookies. If John has 4 cups of flou
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\dfrac{2}{3} \text { cups = } 1 \text { batch}

----------------------------------------------
Find 1 cup :
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1 \text { cup = } 1 \div  \dfrac{2}{3} \text { batch}

1 \text { cup = } 1 \times  \dfrac{3}{2} \text { batch}

1 \text { cup = } \dfrac{3}{2} \text { batch}

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Find 4 cups :
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4 \text { cups = } \dfrac{3}{2} \times 4 \text { batch}

4 \text { cups = } \6 \text { batches}

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Answer: John can make 6 batches with 4 cups of flour.
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6 0
3 years ago
Correct answers only please!
MrRissso [65]

Answer:

23.6°

Step-by-step explanation:

In this question we have to use some trigonometry to work out angle XVW. Since we are working out angles all of the trigonometric functions will have to be to the ⁻¹. The first thing we need to identify is will formula will we use out of the following:

Sin⁻¹ = Opposite ÷ Hypotenuse

Tan⁻¹ = Opposite ÷ Adjacent

Cos⁻¹ = Adjacent ÷ Hypotenuse

-------------------------------------------------------------------------------------------------------

10 = Hypotenuse

4 = Opposite

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We know which formula to use because the length won't be in the triangle for example we will be using the Sin triangle because we don't have an adjacent. If we don't have an adjacent then the other formula's won't work.

Now we substitute in the values to find the value of angle XVW

Sin⁻¹ = Opposite ÷ Hypotenuse

Sin⁻¹ = 4 ÷ 10

The value of angle XVW is 23.57817848

6 0
3 years ago
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Answer:

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3 0
3 years ago
This dot plot is not symmetric, and the data set has two extreme values.What is the best measure of center for this dot plot? Th
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
The speed of the current in a river is 6 mph. A ferry operator who works that part of the river is looking to
Morgarella [4.7K]

Answer:

  • 9 mph

Step-by-step explanation:

Let he speed of the boat on the lake is x.

<u>Considering the speed of the current it will take him:</u>

  • 22.5/(x + 6) + 22.5/(x - 6) = 9
  • 2.5 / (x  + 6) + 2.5 / (x - 6) = 1
  • 2.5(x - 6 + x + 6) = (x + 6)(x - 6)
  • 2.5*2x = x² - 36
  • x² - 5x - 36 = 0
  • x = (5 ± √(5² + 4*36))/2 = (5 ± 13) / 2
  • x = (5 + 13)/2 = 9 mph (negative root is discarded as the speed should be positive)
7 0
2 years ago
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