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liberstina [14]
3 years ago
8

Write this number in standard form four and thirty one hundreths

Mathematics
1 answer:
user100 [1]3 years ago
3 0

Answer: (431)(10^{2})


Step-by-step explanation:

1. The problem gives the following number in words:  Four and thirty one hundreths.

2. It is a decimal number. This means that it has a decimal point tha separates the whole part and the decimal part. ("And" is the decimal point). Therefore,  four and thirty one hundreths is:

4.31

4. The standard form of a number if the scientific notation of the number. Therefore, you can move the decimal point to places to the right (10^{2}:

4.31=(431)(10^{2})


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snow_lady [41]

Answer:

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  b) 2x +3y ≥ -12

  c) 4x -3y ≤ 12

  d) 2x +3y ≤ 24

Step-by-step explanation:

All of the given points are on the axes, so it is useful to know the intercept form of the equation for a line is ...

  x/a +y/b = 1 . . . . . . where a is the x-intercept and b is the y-intercept.

<h3>a)</h3>

The boundary line for the first side is ...

  x/-6 +y/8 = 1

  4x -3y = -24 . . . . . . multiply by -24 to put in standard form

The graph shows the quadrilateral is to the right of this line, so its inequality is ...

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<h3>b)</h3>

The boundary line for side 2 has equation ...

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  2x +3y = -12 . . . . . multiply by -12

The quadrilateral is to the right of this line, as well, so its inequality is ...

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<h3>c)</h3>

We can see from the graph that the x-intercept of the boundary line for side 3 is x=3. The equation for that boundary line is ...

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<h3>d)</h3>

Apparently, side 4 is intended to use points already given. We assume it passes through (6, 4) and (0, 8). This boundary is parallel to side 2, so will have the same equation, but with a different constant.

  2x +3y = 2(0) +3(8) = 24

The quadrilateral is to the left of this line, so its inequality is ...

  2x +3y ≤ 24

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The second attachment shows a graph of the four inequalities with their shading.

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<em>Additional comment</em>

All of the inequalities are written in standard form, so the x-coefficient is positive for all of them. The direction of the inequality symbol can be chosen to select values of x that are greater than or less than those on the boundary line. If the shading is to be to the right, then larger x-values are required, and the inequality will have the form ax + by ≥ c (a > 0). If shading is to the left, then smaller x-values are required, and the inequality symbol points in the other direction.

The figure is a parallelogram, not a rectangle.

7 0
2 years ago
Hannah is 16 years younger than Ericka. In 5 years Ericka will be twice as old as Hannah. How old is each
vazorg [7]

Answer:11 and 27

Step-by-step explanation:

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2 years ago
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the strition family had a meal catered for a wessing rehearsal dinner. the costof the dinner was $476. there was a 5% sales tax
irakobra [83]
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Louis bought a burger and soda for $8. Kate purchased a slice of pizza and soda for $9. Biff purchased a burger, a slice of pizz
Arte-miy333 [17]

The equation for Louis's purchase is: x+y=8

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Step-by-step explanation:

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Let x represent burger

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x+y+z=13.50

The equation for Louis's purchase is: x+y=8

The equation for Kate's purchase is: y+z=9

The equation for Biff's purchase is: x+y+z=13.50

Keywords: Linear Equations, Variables

Learn more about Linear equations at:

  • brainly.com/question/11207748
  • brainly.com/question/11280112

#LearnwithBrainly

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Step-by-step explanation:

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