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klemol [59]
3 years ago
12

Jon’s Summer baseball league has 36 thirteen -year-olds and 48 fourteen year-olds. Write the ratio of 13-year-olds to 14-year-ol

ds in all three forms.
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0

Answer:

These are the forms to write the ratio. Please read the explanation.

<u>a. 3/4</u>

<u>b. 3:4</u>

<u>c. 3 ÷ 4</u>

<u>d. Ratio of 3 to 4</u>

Step-by-step explanation:

1. Let's check the information given to resolve the question:

Number of 13-year olds = 36

Number of 14-year olds = 48

2. Writing the ratio of 13-year-olds to 14-year olds in all three forms:

We can say that there are:

36/48 13-year olds to 14-year olds but we notice immediately that we can simplify that ratio this way:

36/48 = 18/24 (Dividing by 2) = 9/12 (Dividing by 2 again) = 3/4 (Dividing by 3)

We can conclude that the ratio of 13-year-olds to 14-year olds is 3/4 and we can write it these ways:

<u>a. 3/4</u>

<u>b. 3:4</u>

<u>c. 3 ÷ 4</u>

<u>d. Ratio of 3 to 4</u>

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Step-by-step explanation:

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2 years ago
The bases of a trapezoid are 24 feet and 16 feet. The height of the trapezoid is 12 feet. What is the area of the trapezoid?
stepan [7]
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2 years ago
Plsss helppp I’m dying!! —&gt; Complete the square to determine if the equation is a circle, quadratic equation, or other
sashaice [31]

a) The equation represents an ellipse.

b) The equation represents a circle.

c) The equation represents a parabola.

<h3>How to infer the graphical form of a general equation</h3>

In this problem we have <em>general</em> equations of the form A · x² + B · y² + C · x + D · y + E = 0, which have to be modified into <em>standard</em> form to infer its <em>graphical</em> form. This procedure can be done by <em>algebra</em> properties:

16 · x² + 4 · y² + 96 · x - 8 · y + 84 = 0

[(4 · x)² + 2 · 12 · (4 · x)] + [(2 · y)² - 2 · 2 · (2 · y)] = - 84

[(4 · x)² + 2 · 12 · (4 · x) + 144] + [(2 · y)² - 2 · 2 · (2 · y) + 4] = 64

(4 · x + 12)² + (2 · y + 2)² = 64

4² · (x + 3)² + 2² · (y + 2)² = 64

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(x² + 8 · x) + (y² - 6 · y) = 15

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(x + 4)² + (y - 3)² = 40 : Circle

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x² + 6 · x + 5 = - 4 · y

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To learn more on ellipses: brainly.com/question/19507943

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4 0
1 year ago
Which expression is equivalent to the following complex fraction?
Sedbober [7]

Answer:

  \dfrac{2(y-2x)}{3y-5x}

Step-by-step explanation:

When you simplify the numerator and the denominator, you find they both have denominators of xy. So, the ratio of those is the ratio of their numerators.

  \dfrac{\dfrac{2}{x}-\dfrac{4}{y}}{\dfrac{-5}{y}+\dfrac{3}{x}}=\dfrac{\left(\dfrac{2y-4x}{xy}\right)}{\left(\dfrac{-5x+3y}{xy}\right)}=\dfrac{2y-4x}{-5x+3y}\\\\=\boxed{\dfrac{2(y-2x)}{3y-5x}}

8 0
3 years ago
Read 2 more answers
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