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OlgaM077 [116]
3 years ago
8

Solve x = 0.6x + 384

Mathematics
2 answers:
Gelneren [198K]3 years ago
8 0
X = 0.6x + 384        |subtract 0.6x from both sides

0.4x = 384    |divide both sides by 0.4

x = 960
liraira [26]3 years ago
4 0

Answer:  The required solution is x = 960.

Step-by-step explanation:  We are given to solve the following equation :

x=0.6x+384~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To solve the given equation, we must take the terms involving unknown variable x on one side.

The solution of equation (i) is as follows :

x=0.6x+384\\\\\Rightarrow x-0.6x=384\\\\\Rightarrow 0.4x=384\\\\\Rightarrow x=\dfrac{384}{0.4}\\\\\Rightarrow x=960.

Thus, the required solution is x = 960.

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Any linear function is of the form y=mx+b

Here m is slope and b is y intercept.

Slope is difference in y divided by different in x values .

In the question for 5 persons cost is $100 and for 10 persons cost is $162.50

So the points are (5,100) and (10,162.50)

Slope m=\frac{162.50-100}{10-5}=12.50

We can find the value of b by taking m=12.50 and (x,y)=(5,100)

Substitute these values in y=mx+b

100=12.50(5)+b

100=62.50+b

Subtracting 62.50 both sides

b=100-62.50

b=37.5

a) Put m=12.50 and b=37.50 to get the equation

y=12.50x+37.50

b)Rate of change is the m value or the slope of the function.

Initial value that is (5,100) gives us one of the points to find the rate of change.

7 0
3 years ago
If i have a 86% in history what will my grade be if i got an 95% on the final
Gnoma [55]
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4 0
2 years ago
Please help! Due tonight!
Kay [80]

Answer:

B. 6,8,10

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Personally i knew almost immediately because 3,4,5 are the most common right triangles example and 6,8,10 are just a x2 of them so yea.

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2 years ago
The price of gasoline has increased from $2.00 per gallon to $3.00 per gallon. how would this price change be represented on the
vladimir2022 [97]

If the price of gasoline has increased from $2.00 per gallon to $3.00 per gallon. how would this price change be represented on the demand curve is: a movement from one point on the line to a higher point on the line.

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

Demand curve can be defined as the curve that show price of goods and services produced as well as the quantity demanded for the goods produce at a particular period of time.

The  price change can be represented on the demand curve when price increase and this happen when the price of goods move from one point on a line to a higher point on the line

Therefore  how would this price change be represented on the demand curve is: a movement from one point on the line to a higher point on the line.

Learn more about demand curve here:
brainly.com/question/1139186

brainly.com/question/16790743

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5 0
1 year ago
X+x+x+x-20 what expression is equivalent to it?
igor_vitrenko [27]
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