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scoray [572]
3 years ago
9

The Martin family is comparing the costs of two different cable companies. Direct TV charges a

Mathematics
2 answers:
nikdorinn [45]3 years ago
6 0

Answer:

It would take 5.5 months for the two cable companies to cost the same.

Step-by-step explanation:

50x + 100 = 60x + 45

        -45               -45

50x + 55 = 60x

-50x            -50x

55 = 10x

/10    /10

x = 5.5

 

Korolek [52]3 years ago
4 0

Answer:

5.5 months

Step-by-step explanation:

Let m be the number of months that pass.

We can write an equation to resemble this problem [ 100 + 50m = 45 + 60m ]

Steps to solve:

100 + 50m = 45 + 60m

~Subtract 100 to both sides

50m = -55 + 60m

Subtract 60m to both sides

-10m = -55

~Divide -10 to both sides

m = 5.5

Best of Luck!

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Arcsin x + arcsin 2x = π/3

arcsin 2x =  π/3 - arcsin x

sin[arcsin 2x] = sin[π/3 - arcsin x] (remember the left side is like sin(a-b)

2x = sinπ/3 cos(arcsin x)-cosπ/3 sin(arc sinx)

2x = √3/2 . cos(arcsin x) - (1/2)x)

but cos(arcsin x) = √(1-x²)===>2x = √3/2 .√(1-x²)  - (1/2)x)

Reduce to same denominator:

(4x) = √3 .√(1-x²)  - (x)===>5x = √3 .√(1-x²)

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3 years ago
6 less than one eighth of y is x
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Step-by-step explanation:

6 0
2 years ago
What does 24c2 equal
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What is the volume of a shipping cube with dimensions of 2 and 1/2 feet
Fantom [35]

For this case we have that by definition, the volume of a cube is given by:

V = l ^ 3

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Substituting in the formula we have:

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15.625 \ ft ^ 3

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