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2 years ago

12

In a hospital wing there are 12 doctors. There are 20 more nurses than doctors. What proportion of the staff are nurses? Write y

our answer as a fraction in its simplest form.

1 answer:

Levart [38]2 years ago

8 0

Answer:

8/11

Step-by-step explanation:

There are 12 + 20 = 32 nurses and 32 + 12 = 44 staff in all. The answer is 32 / 44 = 8 / 11.

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Vinvika [58]

Ur answer Should be 18f

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The area of a rectangular piece of cardboard is represented by

Liula [17]

This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.

Area of a rectangle:

The area of rectangle of length l and width w is given by:

$A = wl$

w(2w + 3) = 9

From this, we get that:

$l = 2w + 3, A = 9$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

In this question:

$w(2w+3) = 9$

$2w^2 + 3w - 9 = 0$

Thus a quadratic equation with $a = 2, b = 3, c = -9$

Then

$\Delta = 3^2 - 4(2)(-9) = 81$

$w_{1} = \frac{-3 + \sqrt{81}}{2*2} = 1.5$

$w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3$

Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.

Another similar problem can be found at brainly.com/question/16995958

5 0

2 years ago

at a track meet,Jacob and daniel compete in 220 m hurdles. Daniels finishes in 3/4 of the a min.Jacob finishes with 5/12 of a mi

Savatey [412]

Jacob has the faster time because if you make the fractions equal you would make the denominators equal by rounding 3/4 to have a denominator of 12 making it 9/12 which is larger then 5/12 making Daniel's time slower then Jacob's.

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2 years ago

A piece of wood was thrown from the ship into the sea, with a thin rope attached to it. As the ship sailed on, the wood remained

Serhud [2]

Answer:

they would know because the rope will be one sixteenth of a mile and when the rope got maxed out in length it would show how far they have traveled and the wiould calculate how far they have been in that amount of time

Step-by-step explanation:

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2 years ago

What are the coordinates of D’ when the quadrilateral is reflected across the line y = x? On a coordinate plane, quadrilateral A

natita [175]

Answer:

D' (1, 3)

Step-by-step explanation:

When reflected across the y = x line, the "x" and "y" coordinates switch.

If D is (3, 1), then:

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Switch the "x" and "y" values, and rewrite as (x, y).

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2 years ago