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miskamm [114]
2 years ago
6

Miss Rodriguez uses 24% for net income to pay her monthly rent of $1635 what is her monthly net and come to the nearest whole ce

nt
Mathematics
1 answer:
Gemiola [76]2 years ago
7 0

( 1635 ÷ 24 ) • 100 = monthly income

1635 ÷ 24 = 68.125

68.125 • 100 = $6812.50 a month

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Write the equation of a line perpendicular to 5x – 4y = - 3 that passes through the point (-5,2).
kolezko [41]

Answer: 5y + 4x = - 10

Step-by-step explanation:

Two lines are said to be perpendicular if the product of their gradients = -1.

If the gradient of the first line is m_{1} and the gradient of the second line is m_{2} , if the lines are perpendicular, them

m_{1} x m_{2} = -1 , that is

m_{1} = \frac{-1}{m_{2} }

The equation of the line given is 5x - 4y = -3 , we need to write this equation in slope - intercept form in order to find the slope.

The equation in slope -intercept form is given as :

y =mx + c , where m is the slope and c is the y - intercept.

Writing the equation in this form , we have

5x - 4y = + 3

4y = 5x -+3

y = 5x/4 + 3/4

comparing with the equation y = mx + c , then m_{1} = 5/4

Which means that m_{2} = -4/5 and the line passes through the point ( -5 , 2 ).

Using the equation of line in slope - point form  to find the equation of the line;

y - y_{1} = m ( x -  y_{1} )

y - 2 = -4/5 ( x +5)

5(y - 2 ) = -4 ( x + 5 )

5y - 10 = -4x - 20

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3 years ago
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3 years ago
The hundreds digit and the ones digit of a three digit number are the same. The sum of its tree digits are 16. If the tens digit
tensa zangetsu [6.8K]
<h2>727</h2>

Step-by-step explanation:

       Let us denote the three digit number by abc, where a is the hundreds digit, b is the tens digit and c is the ones digit.

       Hundreds digit = a = Ones digit = c

       Sum of digits = a+b+c=16

       So, 2c+b=16

       On exchanging tens and ones digit, value increases by 45. So acb is 45 greater than abc.

       acb-abc=45

       100a+10c+b-100a-10b-c=45\\9c-9b=45\\c-b=5

       2c+b=16,c-b=5\\3c=21\\c=7=a\\b=2

∴ Required number is 727

7 0
3 years ago
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