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tresset_1 [31]
2 years ago
14

At a charity fundraiser, each female attendant donated $1,200 and each male attendant donated $800. If the average donation at t

he fundraiser was $900, what was the ratio of the number of female attendants to the number of male attendants.
Mathematics
1 answer:
Flauer [41]2 years ago
3 0

The ratio of the number of female attendants to the number of male attendants is 21/17

<h3>Ratio</h3>

  • Amount donated by female attendant = $1200
  • Amount donated by male attendant = $800
  • Average donation = $900

let

  • number of female attendant = x
  • number of male attendant = y

900 = 1200x + 800y / (x + y)

900x + 900y = 1200x + 800y

900x + 1200x = 800y + 900y

2100x = 1700y

x : y = 2100 / 1700

x : y = 21 ; 17

Learn more about ratio:

brainly.com/question/2784798

#SPJ1

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Line L passes through point (2, -5) and is perpendicular to the line with equation y = 7. Determine the equation of line L.
Wittaler [7]
<h3>Answer:</h3>

A) x = 2

<h3>Explanation:</h3>

<em>Try the answers</em>

Of the offered choices, the only ones that go through the given point are ...

... x = 2

... y = -5

The latter is horizontal and parallel to y = 7, so is not the choice you want. The appropriate choice is ...

... A) x = 2

_____

<em>Figure out the answer</em>

The given line is horizontal, so the line you want is vertical—of the form ...

... x = constant

The constant must be chosen so the line will go through a point with x=2. It should be obvious that the constant must be 2.

... x = 2 is perpendicular to y = 7 and goes through (2, -5).

8 0
3 years ago
The slope of a line perpendicular to y = 2x + 1 is -2.<br> False<br> True
crimeas [40]

Answer:

incorrect.

Step-by-step explanation:

the slope of the line perpendicular is the negative reciprocal, which in this case is -1/2

6 0
3 years ago
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Linear equation. I’m stuck:(
Lapatulllka [165]
Y= 7x + 20
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4 0
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3. In the diagram, PQ|| AB.<br> Find the values of x and y. (please show work)<br> (6 points)
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6 0
4 years ago
108 identical books have a mass of 30 kg. Find
julia-pushkina [17]

Answer:

The mass of 150 books = 41.7kg

The number of books that have mass 20kg = 72 books

Step-by-step explanation:

(I) Number of identical books = 108

Mass of  books = 30 kg

Mass of 150 books = ?

Let the mass of 150 books = x kg

To find the mass of 150 books we will use ratio and proportion:

108 books: 30kg = 150 books: x kg

You can also write it like this because ratio can be written in division:

108/30 = 150/x

By cross multiplication:

108x = 150*30

108 x= 4500

Divide both sides by 108

108 x/108 = 4500/108

x= 41.7

Thus the mass of 150 books = 41.7kg

( ii ) The number of books that have a mass of 20 kg = ?

Let assume that the number of books of mass 20 kg = y books

We will again use ratio and proportion method.

108 books: 30kg = y: 20kg

We can write it as:

108/30 = y/20

By cross multiplication:

108 *20 = 30y

2160= 30y

Divide both the terms by 30

2160/30 = 30y/30

72 = y

Therefore the number of books that have mass 20kg = 72 books ....

8 0
4 years ago
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