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OleMash [197]
3 years ago
5

How many solutions exist for the given equation? 1/2(x + 12) = 4x – 1

Mathematics
1 answer:
polet [3.4K]3 years ago
3 0
X + 12 = 8x - 2
7x = 14
x = 2.
that is the solution.
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How to solve using substitution<br> y=3/4X+5<br> 4x-3y=-1
Pachacha [2.7K]
Please, use parentheses to enclose each fraction:
y=3/4X+5 should be written as <span>y=(3/4)X+5

Let's eliminate the fraction 3/4 by multiplying the above equation through by 4:

4[y] = 4[(3/4)x + 5]
Then 4y = 3x + 20
(no fraction here)

Let 's now solve the system   

4y=3x + 20
4x-3y=-1

We are to solve this system using subtraction.  To accomplish this, multiply the first equation by 3 and the second equation by 4.  Here's what happens:

12y = 9x + 60  (first equation)
16x-12y = -4, or -12y = -4 - 16x (second equation)

Then we have 

 12y = 9x + 60
-12y =-16x - 4

If we add here, 12y-12y becomes zero and we then have 0 = -7x + 56.
Solving this for x:  7x = 56; x=8

We were given equations   
</span><span>y=3/4X+5
4x-3y=-1

We can subst. x=8 into either of these eqn's to find y.  Let's try the first one:

y = (3/4)(8)+5 = 6+5=11

Then x=8 and y=11.

You should check this result.  Subst. x=8 and y=11 into the second given equation.  Is this equation now true?</span>
5 0
3 years ago
Mr. Vella can build a brick wall in 4 days. His apprentice can build the same wall in 6 days. After working alone for 3 days, Mr
Vitek1552 [10]
Mr. Vella can build the wall in 4 days, however only works on it for 3 days. That means that he has completed 75% of the and is leaving 25% for his apprentice.

We need to figure out how long it takes the apprentice to build 25% of a wall. We know he can build 100% of a wall in 6 days, so dividing 6 days by 4 will give us our answer.

6/4 = 3/2 = 1.5 days

It took the apprentice 1.5 days to finish the wall.
6 0
4 years ago
NEED HELPPPP PLEASEEE!!! NUMBER 5 ONLY
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Answer:

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(Plus the graph)

Step-by-step explanation:

Defining a variable just means you let any letter or symbol take the place of something. But you have to specifically say what is what in order for it to be clear.

So I defined "x" as the variable to represent the ice's thickness. And since we want an inequality for all the safe thicknesses, we could say that "x" must be greater than or equal to 4 inches thick in order to safely walk on it.

Lastly, you'd graph it with a solid point on 4 with the arrow going to the right.

7 0
3 years ago
5,890,000=a×10b a==?<br>​
guapka [62]

Answer:

=146628

Step-by-step explanation:

gracias por los puntos

8 0
3 years ago
Integers- Question 4 a-b
gregori [183]
Hope I was able to help.

6 0
3 years ago
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