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Vinvika [58]
2 years ago
9

Is 2(x - 3) equals 2x plus 5 a solution

Mathematics
1 answer:
Aneli [31]2 years ago
7 0

2(x - 3) = 2x + 5      Distribute/multiply 2 into (x - 3)

2x - 6 = 2x + 5     Add 6 on both sides

2x = 2x + 11     Subtract 2x on both sides

2x - 2x = 11

0 = 11

This is not a solution because they have to be equal to each other or the same on both sides of the equation

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A recipe for spaghetti sauce requires 4 bottles of ketchup to make 2 gallons. How many bottles of ketchup are needed to make 10
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2 years ago
How many liters of 60% alcohol solution should be added to 40 liters of a 20% alcohol solution to make a 50% solution?
kolbaska11 [484]

Answer:

120 liters of 60% alcohol solution is needed

Step-by-step explanation:

Let's assume

x liters of 60% alcohol solution  is added

so, we  get solution as

=\frac{60}{100}\times x

=0.6x

we are given

40 liters of a 20% alcohol solution is

=40\times\frac{20}{100}

=40\times\frac{20}{100}

=8

so, total alcohol solution is

=8+0.6x

now, we can find total solutions

total solutions is

=x+40

now, it is making 50% solution

so, we get

\frac{8+0.6x}{x+40} =\frac{50}{100}

now, we can solve for x

\left(8+0.6x\right)\cdot \:100=\left(x+40\right)\cdot \:50

800+60x=50x+2000

10x=1200

x=120

So,

120 liters of 60% alcohol solution is needed

4 0
2 years ago
Peter is the owner of a hotel. He has found that when he charges the nightly cost of $139, the average occupancy is 275. In addi
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Answer:

Without price increase, Cost/night = $119

Average occupancy = 372 The revenue will be 119*372 = $44,268

For every $15 price increase, the occupancy decreases by 25. Therefore with x price increases, The revenue will be $(119 + 15x)*(372 25x)

Cost/night = $119 + 15x Occupancy = 372 - 25x

Answer:

The nightly cost with x $15 price increases is $119 + 15x.

3 0
2 years ago
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