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Anettt [7]
3 years ago
12

you are riding a train. your carry-on bag can weigh no more than 50 pounds. Your bag weighs 38 pounds. How much more can you add

to your bag? inequality and solve
Mathematics
1 answer:
Strike441 [17]3 years ago
8 0

Let the additional weight that can be added be = x

Current weight of the bag = 38 pounds

Total weight can be = 50 pounds

The equation becomes:

38+x\leq50

x\leq50-38=12

Hence, a weight of 12 pounds cab be added to the current wight.

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3x+1 = y 2x+3y = 14<br> please explain the steps if you can as well
Likurg_2 [28]
3x + 1 = y
2x + 3y = 14

To solve this system of equations, we are going to use the substitution method.  Substitution the equation where the variable is isolated into the second equation.  In this system of equations, y is isolated, so we will replace y in the second equation with 3x + 1.

2x + 3y = 14
2x + 3(3x + 1) = 14
2x + 9x + 3 = 14
We will add the like terms and subtract 3 from both sides of the equation.
11x + 3 = 14
11x = 11
x = 1
In this system of equations, x is equal to 1.  Now we will go back and solve for y, plugging in 1 for x.
3(1) + 1 = y
2(1) + 3y = 14

3 + 1 = y
2 + 3y = 14

4 = y
3y = 2

4 = y
4 = y

The solution to this system of equations is (1, 4).

8 0
3 years ago
1/2 (x−8)+1=2( 1 8 x−1)
nalin [4]

Answer:

The solution for the given algebraic equation is \frac{ - 2}{71}

Step-by-step explanation:

Given algebraic equation as :

\frac{1}{2} ( x - 8 ) + 1 = 2 ( 18 x - 1 )

Now solving the equation while opening the brackets

So, \frac{1}{2} × x - \frac{1}{2} × 8  + 1 = 2 × 18 x - 2

Or, \frac{x}{2}  - \frac{8}{2}  + 1  = 36 x - 2

or,  \frac{x}{2}  - 4 + 1 = 36 x - 2

or,  \frac{x}{2}  - 3 = 36 x - 2

or,  \frac{x}{2} - 36 x = - 2 + 3

Or,  \frac{x}{2} - 36 x = 1

or, \frac{x - 72 x}{2} = 1

or, \frac{- 71 x}{2} = 1

∴ 71 x = - 2

I.e x = \frac{ - 2}{71}

Hence The solution for the given algebraic equation is \frac{ - 2}{71}    Answer

7 0
3 years ago
1. Multiply 5.4(-0.42)
Art [367]
Is A -2.268 did you actually multiply? Is easy
3 0
3 years ago
Read 2 more answers
How do you find equivalent mixed numbers
irina1246 [14]
How to find the mixed number to a fraction:

Let's take 3/2 for instance.

1) You will see how many times the denominator (bottom number) goes into the numerator (top number) in this case that is one time.

2) You will place that number (1) off to the side like so --> 1

3) Then you will see how many parts are left, in this case that is 1 and place that number over the original denominator like so: 1/2

4) Finally you will just combine to get your answer- 1 1/2

Hope I helped,
-CSX :)
3 0
3 years ago
Read 2 more answers
What is the absolute value of -36
zlopas [31]
The answer is 36 because -36 turns into 36
4 0
3 years ago
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