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marta [7]
3 years ago
10

How many solutions exist for the given equation? 0.75(x+40)=3(4x+1)-2

Mathematics
2 answers:
AveGali [126]3 years ago
6 0
The given equation is
0.75(x + 40) = 3(4x + 1) - 2

Expand the equation.
0.75x + 30 = 12x + 3 - 2
0.75 - 12x = 3 - 2 - 30
-11.25x = -29
x = -29/-11.25 = 2.5778

Answer: There is 1 solution, which is 2.5778.

maw [93]3 years ago
4 0
Let's eliminate the fractional multiplier 0.75.  To do this, mult the entire equation by 4/3:

x+40 = (4/3)(3)(4x+1) - 2(4/3)

(4/3)(3) simplifies to just 4, so now we have:

x+40 = 4(4x+1) - 8/3

Mult. all 3 terms by 3 to eliminate the fraction:

3x + 120 = 12(4x+1) - 8

Perform the multiplication:

3x + 120  = 48x + 12 - 8,            or            116 = 45x

Solving for x,    x = 2.578, or     x = 7/90 (answer)


We could also simplify the original equation,  <span>0.75(x+40)=3(4x+1)-2, by multiplying all 3 terms by 100:

75x + 3000 = 1200x + 300 - 200

Then 3000 - 300 + 200 = 1125x, and x = 7/90 (same as before)</span>
You might be interested in
Solve 7/4x + 5/6=4/3x - 3 for x
juin [17]

Answer:

x=-46/5

Step-by-step explanation:

1. subtract either 5/6 or add 3 for each side.

2. combine terms

3. x=-46/5

8 0
3 years ago
Jim was thinking of a number. Jim adds 20 to it, then doubles it and gets an answer of 99.2. What was the original number?
azamat

Alright, lets get started.

Jim was thinking of a number.

Suppose the number Jim was thinking, is x.

Jim adds 20 to it means number will be = x+20

And Jim doubles it, means 2*(x+20)

Jim gets 99.2 and as per us, he gets 2*(x+20)

So, making them equal

2(x+20)=99.2

2x+40=99.2

Subtracting 40 in both sides

2x+40-40=99.2-40

2x=59.2

x=29.6

It means the original number is 29.6.   :   Answer

Hope it will help :)



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