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svlad2 [7]
3 years ago
5

What is the value of x in the equation 0.75x+3=6(x-3)?

Mathematics
1 answer:
cluponka [151]3 years ago
4 0

Answer:

x = 4

Step-by-step explanation:

Given

0.75x + 3 = 6(x - 3) ← distribute

0.75x + 3 = 6x - 18 ( subtract 0.75x from both sides )

3 = 5.25x - 18 ( add 18 to both sides )

21 = 5.25x ( divide both sides by 5.25 )

4 = x

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everyone's indiviaual demand for a particular good or service can be represented by the same demand curve
bija089 [108]

The statement "everyone's individual demand for a particular good or service can be represented by the same demand curve " is false. Option B

This is further explained below.

<h3>What is the demand curve?</h3>

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Complete Question

Everyone's indiviaual demand for a particular good or service can be represented by the same demand curve

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5 0
1 year ago
X + y = 152,<br><br> 8.5x + 12y = 1,656<br><br> How many hats were sold?
Elodia [21]

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

x+y = 152\\8.5x+12y=1656

From equation 1:

x = 152-y

Putting the value of y in equation 2

8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

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2 years ago
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