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svetoff [14.1K]
4 years ago
11

At the sports awards ceremony,5 members of the soccer team and 8 members of the softball team won awards. What was the ratio of

the softball team members to award winners?
Mathematics
1 answer:
Artyom0805 [142]4 years ago
8 0

Answer:

8:13 or 8/13 or 62%

Step-by-step explanation:

When comparing two things make sure to put what the question says first, first.  Add the number of soccer and softball players that got awards to find the total number of award winners.

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Dawnna collected 48 eggs from her chickens today.
Rufina [12.5K]

Answer:

12 eggs

Step-by-step explanation:

If she sends 3/4 to the market

1 - 3/4

4/4 -3/4 = 1/4

She will keep 1/4

1/4 *48 = 12

She will keep 12 eggs

4 0
3 years ago
A builder cuts a rectangular hole in a ceiling to install an exhaust fan. The width is 3 in. less than the length and the area i
slavikrds [6]

Area of a rectangle = l * w

A = Area of a rectangle

l = length

w = width

In our problem,

l = x

w = x - 3

A = 180 square inches

Plug our numbers into the area formula of a rectangle

180 square inches = x(x-3)

Distribute the x into (x-3)

180 square inches = x^2 - 3x

subtract 180 from both sides

0 = x^2 - 3x -180.

Factor the express on the left side of the equation

0 = (x-15) (x+12).

Set each term equal to zero and solve for x

x+12 = 0.

Subtract 12 from both sides

x = -12 <--- lengths of a rectangle cannot be negative, therefore, we need to check the other term we factored.

set x-15 equal to zero

x-15 = 0.

Add 15 to both sides

x = 15.

We know l = x so now we know that the length i = 15 inches.

We also know that the width = length - 3

w = 15 - 3

w = 12

The width is 12 inches and the length is 15 inches

8 0
4 years ago
A = 14.9 cm, b = 14.1 cm and C = 5.7 cm for the triangle shown below.
Kaylis [27]

Answer:

X is 22.5°

Step-by-step explanation:

» Let's assume our diagram is as above, from trigonometric ratio:

{ \tt{ \red{ \sin( \theta) =  \frac{opposite}{hypotenuse}  }}} \\

  • theta is X
  • opposite is a
  • hypotenuse is c

{ \tt{ \sin(x) =  \frac{a}{c}  }} \\  \\ { \tt{ \sin(x)  =  \frac{5.7}{14.9} }} \\  \\ { \tt{ \sin(x)  = 0.3826}} \\  \\ { \tt{x =  { \sin }^{ - 1}(0.3826) }} \\  \\ { \boxed{ \tt{x = 22.5 \degree}}}

8 0
2 years ago
Use calculus to find the area a of the triangle with the given vertices. (0, 0), (6, 2), (4, 8)
Vilka [71]

The area of the triangle with vertices  (x_1,y_1),(x_2,y_2),(x_3,y_3) is

\frac{1}{2}\left|\begin{array}{ccc}1&x_1&y_1\\1&x_2&y_2\\1&x_3&y_3\end{array}\right|.

Inserting numerical values, the are of the triangle with vertices (0, 0), (6, 2), (4, 8) is

\Delta = \frac{1}{2}\left|\begin{array}{ccc}1&0&0\\1&6&2\\1&4&8\end{array}\right |\\&#10;\Delta = 0.5(48-8)\\&#10;\Delta = 20 \;square\; units


7 0
3 years ago
Identify the graph of the compound inequality (-2 &lt;2x-6) (3x-12 510)
asambeis [7]

Answer:

Step-by-step explanation

just plug in 0 for z so it would change to -2<6

7 0
3 years ago
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