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Art [367]
4 years ago
7

A prize was awarded to 40 women and 678 men

Mathematics
1 answer:
Masteriza [31]4 years ago
6 0
The fraction of winners that were women is 40/718 which simplifies to 20/359

The fraction of winners that were men is 678/718 which simplifies to 339/359
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The length of a rectangle is twice the width. If the perimeter of the rectangle is 60 units, find the area of the garden.​
AlexFokin [52]
Perimeter = (length+width) x 2


Let w units be the width of the rectangle.

Length of the rectangle = 2w

Perimeter:
(2w+w) x 2 = 60

(3w)2 = 60

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= 200 units

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Your parents put $500 into an account paying 7 percent interest for you when you were ten. ten years later they tell you that yo
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Read 2 more answers
Danielle’s aunt is 8 years than 3 times Danielle’s age. Her aunt is 34. Write an equation that relates Danielle’s age, a, to her
OverLord2011 [107]

Answer:

*Assuming that the question should read '8 years less than 3 times Danielle's age'*

Equation:  3a - 8 = 34, where 'a' = Danielle's age

Danielle's age (a) = 14

Step-by-step explanation:

Using key words and phrases from the problem, we can find Danielle's age by setting up an equation to solve for 'a'.  

Since Danielle's aunt is '8 years less than 3 times Danielle's age' her aunt's age can be written as:  3a - 8.  We also know her aunt is 34.  So, the equation becomes:

3a - 8 = 34

Add 8 to both sides:  3a - 8 + 8 = 34 + 8 or 3a = 42

Divide both sides by 3:  3a/3 = 42/3

Solve for a:  a = 14, so Danielle's age is 14 years old.  

7 0
4 years ago
Seven times a number plus three times another number equals -1 the sum of two numbers is -3 what are the numbers? 25 points!!
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7x+3y=-1
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8x+4y=-4
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y=-1-2x

x+y=-3
x-1-2x=-3
-x=-2
x=2
y=-1-2*2=-1-4=-5
5 0
3 years ago
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