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defon
4 years ago
11

mrs west is 14 years younger than her aunt. If mrs west's age in years is as much below 60 as her aunts age is over 40 how old i

s each
Mathematics
2 answers:
anygoal [31]4 years ago
6 0
60 - (x - 14) = x - 4060 - x + 14 = x - 40      74 - x = x - 40              74 = 2x - 40                 114 = 2x                     57 = x
Natali [406]4 years ago
4 0
So, the age of the aunt is 57 which is 17 years above 40 and the age of west is >>x-14=43 >> 43 which is 17 years below 60

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375x = 11.25

x = 11.25/375

x = 0.03

11.25 is 3% of 375.

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The school aims to raise a minimum of $5,250 after paying for all the expenses. If the school collects $50 per guest and chooses
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A dog sits at a corner of a square with side length 44 meters. the dog runs 10 meters along a diagonal toward the opposite corne
wlad13 [49]

Refer to the figure given below while reading the solution.

Suppose the dog reaches position A when traveled 10 m diagonally towards the opposite side.

And then position B when traveled 5 m towards the right turning 90°.

We can observe that APC is a right triangle with legs of equal length AC. And the coordinates of the point A is (AC, AC).

Also we can observe that APB is a right triangle with legs of equal length AD. Then the coordinates of the point D is (AC, AC-AD).
Hence, the coordinates of B will be (AC+AD, AC-AD).

Now, we since we have the coordinates we can calculate the shortest distances of B from each of the sides.

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7 0
2 years ago
What is the difference?
Serhud [2]

Answer:

The option \frac{(x+5)(x+2)}{x^3-9x} is correct

The difference of the given expression is

\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})=\frac{(x+5)(x+2)}{x^3-9x}

Step-by-step explanation:

Given expression is \frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})

To find the difference of the given expression as below :

\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})

=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x^2-9)})-({\frac{x+1}{x^2-9})

=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x^2-3^2)})-({\frac{x+1}{x^2-3^2})

=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x-3)(x+3)})-({\frac{x+1}{(x-3)(x+3)})  

( using the formula a^2-b^2=(a+b)(a-b) )

=\frac{2x+5(x+3)-(3x+5)-x(x+1)}{x(x-3)(x+3)}

=\frac{2x^2+6x+5x+15-3x-5-x^2-x}{x(x-3)(x+3)} (adding the like terms)

=\frac{x^2+7x+10}{x(x^2-9)} ( by factoring the quadratic polynomial )

=\frac{(x+5)(x+2)}{x^3-9x}

Therefore \frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})=\frac{(x+5)(x+2)}{x^3-9x}

Therefore the difference of the given expression is

\frac{(x+5)(x+2)}{x^3-9x}

Therefore option \frac{(x+5)(x+2)}{x^3-9x} is correct

8 0
3 years ago
What is n+ 4.5 - 0.3n-3
Aleks [24]
1. Collect like terms

(n-0.3n)+(4.5-3)

2. Simplify

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Final Answer:

0.7n + 1.5
4 0
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