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ipn [44]
3 years ago
8

Factor 1.2 out of 1.2x - 7.2

Mathematics
1 answer:
tatyana61 [14]3 years ago
5 0

Answer:

6/5 x (x-6)

Step-by-step explanation:

convert the decimal into a fraction

1.2x -7.2

6/5x - 36/5

factor 6/5 from the expression

6/5x (x-6)

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3 years ago
Brenda and her best friend went on a vacation together. They both paid for a flight, and Brenda had a fancy room for $150 per ni
Mila [183]

Answer:

A. 2x + 150y = 1,500

   2x + 120y = 1,320

The flights were $300 each, and they stayed 6 nights.

B. $1,380

Step-by-step explanation:

Let x be the cost of the flight (in one side) and y be the number of nights on their vacation.

A. Brenda had a fancy room for $150 per night, then she paid $150y for y nights.  Brenda's total is $1,500, then

150y+2x=1,500

Brenda's friend had a smaller room for $120 per night, then she paid $120y for y nights.  Brenda's friend total is $1,320, then

120y+2x=1,320

Subtract two equations:

150y+2x-120y-2x=1,500-1,320\\ \\30y=180\\ \\y=6

Substitute into the first equation:

150\cdot 6+2x=1,500\\ \\900+2x=1,500\\ \\2x=600\\ \\x=300

Hence

2x + 150y = 1,500

2x + 120y = 1,320

The flights were $300 each, and they stayed 6 nights.

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The total cost is

\$780+\$600=\$1,380

7 0
4 years ago
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