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kompoz [17]
3 years ago
8

|a|=6 solve please I need help

Mathematics
1 answer:
gregori [183]3 years ago
5 0

a can either b 6 or -6.

a = \pm 6

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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
Write an equation of the line passing through point P(0, −1)P(0, −1) that is parallel to the line y = −2x+3y = −2x+3.
Feliz [49]
This is the answer y= -2x-1
5 0
3 years ago
janet can make 4/5 of a necklace in 20 minutes. at this rate, how many necklaces, to the nearest tenth of a necklace, Can Janet
Arte-miy333 [17]

Answer:

Step-by-step explanation:

Janet can make:

4/5 of a necklace in      20min

2(4/5)=8/5 ............in       40 min

3(4/5)=12/5 ............in    60 min( one hour)

12/5=2 2/5 necklaces in one hour

or 2.4n in one hour

5 0
2 years ago
Let y represent the total cost of publishing a book (in dollars). Let x represent the number of copies of the book printed. Supp
Jobisdone [24]

Answer:

Change in the cost of each book printed = $25

Cost to get started = $1150

Step-by-step explanation:

Equation representing the relation between number of copies of the books (x)  and total cost of publishing a book (y) is,

y = 1150 + 25x

This equation is in the form of a linear equation,

y = mx + b

Where m represents the change in cost of printing each book and y-intercept of the line 'b' represents the cost before any book is printed.

By comparing these equations,

m = 25

Therefore, change in the cost of each book printed = $25

b = 1150

Which represents the cost to get started = $1150

4 0
3 years ago
An electric car makes 3,000 revolutions per minute, How many degrees does it rotate in a second?
ruslelena [56]

Answer:

It rotates 50 times a second

Step-by-step explanation:

There is 60 seconds in a minute,so all you have to do is Divide 30,000 by 60 and you get 50!

3 0
3 years ago
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