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Ray Of Light [21]
3 years ago
9

Solve the following equation:m - m-1/2 = 1 - m-2/3​

Mathematics
1 answer:
grigory [225]3 years ago
3 0

Answer:

m = \frac{7}{5}

Step-by-step explanation:

m - \frac{m-1}{2} = 1 - \frac{m-2}{3}

Multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions

6m - 3(m - 1) = 6 - 2(m - 2) ← distribute parenthesis on both sides

6m - 3m + 3 = 6 - 2m + 4 , that is

3m + 3 = - 2m + 10 ( add 2m to both sides )

5m + 3 = 10 ( subtract 3 from both sides )

5m = 7 ( divide both sides by 5 )

m = \frac{7}{5}

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(4,5,6) is a subset of (4,5,6) True or False​
Nimfa-mama [501]

Answer:

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4 0
3 years ago
Help asap! Lia can rent a van for either $90 per day with unlimited mileage or $50 per day with 250 free miles and an extra 25¢
ryzh [129]

Answer:

The unlimited mileage plan would save money for Lia from 410 miles onwards.

Step-by-step explanation:

Since Lia can rent a van for either $ 90 per day with unlimited mileage or $ 50 per day with 250 free miles and an extra 25 ¢ for each mile over 250, to determine for what number of miles traveled in one day would the unlimited mileage plan save Lia money, the following calculation must be performed:

90.25 - 50 = 40.25

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Therefore, the unlimited mileage plan would save money for Lia from 410 miles onwards.

7 0
3 years ago
JG bisects FJH, FJG= (2x + 4)° and GJH = (3x -9)° <br> What is FJH
Kitty [74]

Hello from MrBillDoesMath!

Answer:

60

Discussion:

As JG bisects FJG,  

FJG     = GJH                =>

2x + 4 = 3x-9                => subtract 2x from each side

4         = 3x -2x - 9        => simplify

4         = x - 9                => add 9 to both sides

4 + 9   = x

x = 13

Now, FJH =

FJG        + GJH

(2x + 4)  + (3x-9) =

5x -5                             => substitute x 13

5(13) -5  =

65 - 5 =

60

Thank you,

MrB

5 0
3 years ago
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sveta [45]

Answer:

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Step-by-step explanation:

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2 years ago
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Lera25 [3.4K]

2y = 10x \\ y = 10x  \div2 = 5x
\frac{ {x}^{2} }{64}  -  \frac{y^{2} }{36}  = 1 \\  \frac{ {x}^{2} }{64}  -  \frac{(5x)^{2} }{36}   = 1  \\ \frac{ {x}^{2} }{64}  -  \frac{25x^{2} }{36}   = 1
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3 years ago
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