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andriy [413]
3 years ago
9

What is the solution of x+25=12 ?

Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
7 0

Answer:

x=-13

Step-by-step explanation:

x+25=12

-25     -25

x=-13

TEA [102]3 years ago
5 0
X + 25 = 12
-25 on both sides
x = -13

Answer:
x = -13
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How do you determine whether a sum will be positive, negative, or 0 when adding a positive and a negative integer?
professor190 [17]
If the integers have the same absolute value ... they're the same number
but with different signs ... then their sum is zero.

Example:    (plus) 927 added to (negative) 927  =  zero


If the integers have different absolute values ... they're different numbers with different
signs ... then their sum has the same sign as the one with the bigger absolute value.

Examples:

==>   (plus) 92 added to (negative) 91
         92 and 91 are 1 number apart on the number line.
         The positive number is bigger than the negative number.
         So the sum is  +1 . 

==>    (plus) 35 added to (negative) 37
          35 and 37 are 2 numbers apart on the number line.
          The negative number is bigger than the positive one.
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3 0
3 years ago
Write a linear equation in standard form that satisfies the given set of conditions. X-intercept: 3, y-intercept: 5
Artyom0805 [142]

The linear equation in standard form is y=\frac{-5}{3}x +5.

<h3>Linear Function</h3>

An equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=7x+2. Where:

a= the slope. It can be calculated for  \frac{\Delta x }{\Delta y}.

b= the constant term that represents the y-intercept.

The question gives: X-intercept:3  and  y-intercept: 5. Then,

  • The x-intercept is the point that y=0, then the x-intercept point is (3,0).
  • The y-intercept is the point that x=0, then the x-intercept point is (0,5).

With this information, you can find the slope (a).

a=\frac{\Delta y }{\Delta x}= \frac{0-5}{3-0} =\frac{-5}{3}

The question gives the coefficient b since it gives the y-intercept=5.

Therefore the linear equation is : y=\frac{-5}{3}x +5.

Read more about the linear equations here:

brainly.com/question/2030026

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4 0
2 years ago
Gary wants to by a computer that costs $645. He earns about $10 an hour at his new job after taxes are deducted from his paychec
Nimfa-mama [501]
He has to work about 64hrs 30mins
5 0
3 years ago
Help again and thanks..........
LenKa [72]

Answer:

  • a = $8
  • s = $5

Step-by-step explanation:

When the coefficients don't lend themselves to solution by substitution or elimination, then Cramer's Rule can be useful. It tells you the solutions to

  • ax +by = c
  • dx +ey = f

are ...

  • ∆ = bd -ea
  • x = (bf -ec)/∆
  • y = (cd -fa)/∆

Using that rule here, we find ...

  ∆ = 5·3 -6·2 = 3

  a = (5·54 -6·41)/3 = 5·18 -2·41 = 90 -82 = 8

  s = (41·3 -54·2)/3 = 41 -18·2 = 5

This math can be performed in your head, which is the intent of formulating the rule in this way.

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Similarly, if you expect the solutions to be small integers (as here), then graphing is another viable solution method.

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<em>Comment on the question</em>

We're sad to see than only 16 tickets were sold to the two performances by the symphonic band.

6 0
3 years ago
A bin is constructed from sheet metal with a square base and 4 equal rectangular sides. if the bin is constructed from 48 square
kondaur [170]
This is a problem of maxima and minima using derivative.

In the figure shown below we have the representation of this problem, so we know that the base of this bin is square. We also know that there are four square rectangles sides. This bin is a cube, therefore the volume is:

V = length x width x height

That is:

V = xxy = x^{2}y

We also know that the <span>bin is constructed from 48 square feet of sheet metal, s</span>o:

Surface area of the square base = x^{2}

Surface area of the rectangular sides = 4xy

Therefore, the total area of the cube is:

A = 48 ft^{2} =  x^{2} + 4xy

Isolating the variable y in terms of x:

y =  \frac{48- x^{2} }{4x}

Substituting this value in V:

V =  x^{2}( \frac{48- x^{2} }{x}) = 48x- x^{3}

Getting the derivative and finding the maxima. This happens when the derivative is equal to zero:

\frac{dv}{dx} = 48-3x^{2} =0

Solving for x:

x =  \sqrt{\frac{48}{3}} =  \sqrt{16} = 4

Solving for y:

y =  \frac{48- 4^{2} }{(4)(4)} = 2

Then, <span>the dimensions of the largest volume of such a bin is:
</span>
Length = 4 ft
Width =  4 ft
Height = 2 ft

And its volume is:

V = (4^{2} )(2) = 32 ft^{3}

8 0
3 years ago
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