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Vsevolod [243]
3 years ago
6

Help pls for brainlest and extra points i need done soon

Mathematics
1 answer:
salantis [7]3 years ago
6 0

Answer:

5/6= 10/12

12/100<10/12

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I need the answers and explanation to a b c and d
snow_lady [41]

Answer:

  a) 4x -3y ≥ -24

  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 ...

  4x -3y ≥ -24

__

<h3>b)</h3>

The boundary line for side 2 has equation ...

  x/-6 +y/-4 = 1

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

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

  2x +3y ≥ -12

__

<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 ...

  x/3 +y/-4 = 1

  4x -3y = 12

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

  4x -3y ≤ 12

__

<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

__

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

_____

<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
Which number is a solution of the inequality c &gt; 5?<br><br> A) 2<br> B) 2.5<br> C) 5<br> D) 6.5
Reil [10]

Answer:

6.5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The volume of
STALIN [3.7K]
100 drops =1fluid ounce 1 drop= 1/100 ounce Hence 10 drops =10/100=1/10
3 0
3 years ago
Kate and Melisa both went to the same store to buy eggs and bread for their families. Kate bought 3 cartons of eggs and 5 loaves
VMariaS [17]
Write an equation system based on the problem
For an instance, e stands for the price of a carton of eggs, and b stands for the price of a loaf of bread

"Kate bought 3 cartons of eggs and 5 loaves of bread for $30.07" could be written as 3e + 5b = 30.07 (first equation)
"Melissa bought 2 cartons of eggs and 2 loaves of bread for $14.74" could be written as 2e + 2b = 14.74 (second equation)

Solve the equation system using elimination method
Eliminate b to find e. To eliminate b, we should equalize the coefficient of b.
3e + 5b = 30.07 (multiplied by 2)
2e + 2b = 14.74 (multiplied by 5)
-------------------------------------------
  6e + 10b = 60.14
10e + 10b = 73.70
------------------------- - (substract)
-4e            = -13.56
   e            = -13.56/-4
   e            = 3.39

The price for a carton of eggs is $3.39
8 0
3 years ago
What is 26.50 rounded to the nearest hundredth
Pavlova-9 [17]
Well,

26.50

In this case, the hundredths place is the 0.

Since there are no more digits after that, 26.50 must already be rounded to the nearest hundredth.

26.50 is the final answer.
6 0
3 years ago
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