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Umnica [9.8K]
4 years ago
15

Solve: 4x+3 = 2x + 9

Mathematics
2 answers:
Rudik [331]4 years ago
8 0
4x+3 = 2x + 9

4x-2x=9-3

2x=6

x=6/2

x=3
nataly862011 [7]4 years ago
6 0
Move 2x to the left hand side of the equation by subtracting 2x from both sides.
<span>4x+3−2x=9

</span>Add <span>4x</span><span> and </span><span>−2x</span><span> to get </span><span><span>2x</span>.
</span><span>x+3=9

</span>Since 3<span> does not contain the </span>variable<span> to solve for, move it to the right-hand side of the </span>equation<span> by subtracting </span>3<span> from both sides.
</span><span>2x=−3+9

</span>Add <span>−3</span><span> and </span>9<span> to get </span><span>6.
</span><span>2x=6

</span>Divide<span> each </span>term<span> in the </span>equation<span> by </span><span>2.
</span><span>x=3

x is equal to 3</span>
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3/4+1/12 = simplest form
Studentka2010 [4]
Your answer would be 5/6 in its simplest form.

To add fractions we must get them both over the same denominator, which means we can multiply 3/4 by 3 to get 9/12.

Then we can add 9/12 to 1/12 to get 10/12, which simplifies to 5/6 by dividing by 2.

I hope this helps!
8 0
3 years ago
Read 2 more answers
Joe borrowed $6,000 from the bank at a rate of 7% simple interest per year. How much did he pay in 5 years?
Inessa05 [86]

Answer:

2,100.

Step-by-step explanation:

Multiply 7x5 and you will get 35%. 35% Of 6,000 is 2100. Hence the answer being 2,100.

4 0
3 years ago
A manufacturer has been selling hats at $8 a piece, and at this price, consumers have been buying 6000 hats per month. The manuf
gtnhenbr [62]

Answer:

$10

Step-by-step explanation:

Initial selling price per hat= $8

Number of hat sold= 6000

Revenue generated = $8*6000=$48000

Cost of producing hats = $4 per hat

Production cost = $4*6000=$24000

Profit = $48000-$24000=$24000

Increasing the price per hat by $2

Selling price per hat = $2+$8=$10

Number of hats sold are 500 fewer = 6000-500= 5500 hats

Revenue generated = $10*5500 = $55000

Cost of production is the same , where $4 per hat = $4*5500 =$22000

Profit generated = $55000-$22000 =$33000

This means at a price of $10 per hat , selling 500 fewer hats, the manufacture still makes a profit of $33000 which is $9000 more. It will be reasonable to hat at $10 because the profit will increase.

8 0
3 years ago
Question 25 of 25
likoan [24]

The correct option is option B :    -4 ≤ x ≤ 1

<h3>What is Increasing and decreasing function?</h3>

Increasing and decreasing functions are functions whose graphs go upwards and downwards respectively as we move towards the right-hand side of the x-axis. Increasing and decreasing functions are also called non-decreasing and non-increasing functions.

Here, from graph

as we can observe from x = -4 graph starts increases upto x = 1 and after that graph becomes constant.

Thus, between x belongs -4 to 1 the graph is increasing.

Learn more about Increasing and Decreasing Function from:

brainly.com/question/14330051

#SPJ1

7 0
2 years ago
What is 10 to the power of 10
sasho [114]
"10 to the power of ten" can be represented by 10^10.
This means 10 • 10 • 10 • 10 • 10 • 10 • 10 • 10 • 10 • 10.
10 • 10 • 10 • 10 • 10 • 10 • 10 • 10 • 10 • 10 = 10,000,000,000
10,000,000,000 can be said as 10 billion.
So 10^10, or 10 to the power of 10, is 10 billion.

Another way to find the answer is to take the number 1 and add how ever many 0's the power is.
Basically, 10 to the power of 10 is 1 followed by 10 zero's.
That's 10000000000, or 10,000,000,000, or 10 billion.
This can only be done with powers of 10, however.

Answer:
10 billion

Hope this helps!
8 0
3 years ago
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