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Alexandra [31]
3 years ago
10

Solve for x in this equation:3/4+|5-x|=13/4

Mathematics
2 answers:
S_A_V [24]3 years ago
7 0
Well, anything in absolute value lines become positive, so the equation would be:

3/4+5+x=13/4

Next we subtract 3/4 to both sides to start separating the variable (x).

So, 5+x=10/4


Next, we subtract 5 from both sides. (5= 20/4)

And we get: x=-10/4.

I hope this helps!
ra1l [238]3 years ago
6 0

Answer:

Step 1: Isolate the absolute value by subtracting<u> 3/4 </u>from both sides of the equation.              

     

Step 2: Represent the negative case by rewriting the absolute value equation as: <u>5 - x = - 5/2    </u>          

 

Step 3: Represent the positive case by rewriting the absolute value equation as <u>5 - x = 5/2 * v  </u>                    

Step 4: Isolate the variable term by subtracting this value from both sides of the negative case equation : <u>5</u>

Step 5: Solve the positive case equation. x =<u> </u><u>5/2</u>

i got it right on ed2020

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ivolga24 [154]

Answer:

His goal was 93.75 miles

7 0
3 years ago
Scateboard cost Rs450each in my local store,The shop keeper says if I buy 1 I can buyanother for only 7/9 of the normal price,ho
Whitepunk [10]

Answer:

the cost will be Rs 350

Step-by-step explanation:

The Scateboard cost Rs 450 each in the local store,The shop keeper says if I buy 1 I can buy another for only \frac{7}{9} of the normal price. We are asked to determine the cost of a second scateboard .

Hence the cost will be \frac{7}{9} of the normal cost that is

\frac{7}{9} \times 450

7 \times 50

350

the cost will be Rs 350

6 0
3 years ago
Answer correct and fast
inna [77]

Hello there I hope you are having an great Day :)

1) 32780ml = 32.78

2) 37 1/2% of 24 = 9

Hopefully that helps you :)

3 0
3 years ago
Solve the system of linear equations using multiplication.
Anna71 [15]

Answer:

(8,-1)

Step-by-step explanation:

The given system is:

3x+3y=21

6x+12y=36

Since I prefer to use smaller numbers I'm going to divide both sides of the first equation by 3 and both sides of the equation equation by 6.

This gives me the system:

x+y=7

x+2y=6

We could solve the first equation for x and replace the second x with that.

Let's do that.

x+y=7

Subtract y on both sides:

x=7-y

So we are replacing the second x in the second equation with (7-y) which gives us:

(7-y)+2y=6

7-y+2y=6

7+y=6

y=6-7

y=-1

Now recall the first equation we arranged so that x was the subject. I'm referring to x=7-y.

We can now find x given that y=-1 using the equation x=7-y.

Let's do that.

x=7-y with y=-1:

x=7-(-1)

x=7+1

x=8

So the solution is (8,-1).

We can check this point by plugging it into both equations.

If both equations render true for that point, then we have verify the solution.

Let's try it.

3x+3y=21 with (x,y)=(8,-1):

3(8)+3(-1)=21

24+(-3)=21

21=21 is a true equation so the "solution" looks promising still.

6x+12y=36 with (x,y)=(8,-1):

6(8)+12(-1)=36

48+(-12)=36

36=36 is also true so the solution has been verified since both equations render true for that point.

5 0
3 years ago
Read 2 more answers
Should the quotient of an integer divided by a nonzero integer always be a rational number? Why or Why not?
lubasha [3.4K]
Yes, it will always be a rational number. I'll expound on this by defining what a rational number is. It is any number that can be expressed as a fraction. Otherwise, it is called an irrational number with a non-terminating decimal expansion. So, although 1/3 has a non-terminating decimal expansion because it is equal to 0.33333333...., it is still a rational number because it can be expressed into a fraction.
8 0
3 years ago
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