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Alex17521 [72]
3 years ago
14

Part A: Explain why x = 6 makes 4x − 5 ≤ 19 true but not 4x − 5 < 19. (5 points)

Mathematics
1 answer:
navik [9.2K]3 years ago
8 0
PART A : If you start solving it, it will looks like this: 4*6  - 5 ≤ 19 -> 19<span>≤19 which is actually true because 19 is = to 19. 
But 19 < 19 because they're actually equal. 
<span>2 :
</span>PART A : 25 x = 930.75 
The number of ticker -> 25 The price of a ticket -> x ( as we don't know and it's what we are asked to find. 
930.75 is the total amount of money raised. 
PART B: 25 x = 930.75 
25 x : 25 = 930.75 : 25 
x= 37.23 £ 
To find out if this is correct, we replace ''x'' in the equation : 25 * 37.23 = 930.75 -> 930.75 = 930.75 
3. PART A  : x </span><span>≥ 18 
</span>     PART B: You create the number line, put the number 18 on it and draw a circle which must be filled. The arrow's direction must be right, to + infinite ( I don't know if this is the way it must be described but English is not my native language) 


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Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 13 ​people, while each carton of c
lutik1710 [3]

Answer:

  233 cartons of food; 467 cartons of clothing

Step-by-step explanation:

This linear programming problem can be formulated as two inequalities (in addition to the usual constraints that the variables be non-negative). One of these expresses the constraint on weight. Let f and c represent numbers of food and clothing containers, respectively.

  40f +25c ≤ 21000

The other expresses the limit on volume.

  20f + 5c ≤ 7000

_____

<u>Feasible Region vertex</u>

We can subtract the boundary line equation of the first inequality from that of 5 times the second to find f:

  5(20f +5c) -(40f +25c) = 5(7000) -21000

  60f = 14000

  f = 233 1/3

The second boundary line equation can be rearranged to find c:

  c = 1400 -4f = 466 2/3

The nearest integer numbers to these values are ...

  (f, c) = (233, 467)

The other vertices of the feasible region are associated with one or the other variable being zero: (f, c) = (0, 840) or (350, 0).

<u>Check of Integer Solution</u>

Trying these in the constraint inequalities gives ...

  • 40·233 +25·467 = 20,995 < 21000
  • 20·233 +5·467 = 6995 < 7000

<u>Selection of the Answer</u>

The answer to the question will be the feasible region vertex that maximizes the number of people helped. That is, we want to maximize ...

  p = 13f + 6c

The values of p at the vertices are ...

  p = 13·233 + 6·467 = 5831

  p = 13·0 + 6·840 = 5040

  p = 13·350 + 6·0 = 2100

The most people are helped when the plane is filled with 233 food cartons and 467 clothing cartons.

7 0
3 years ago
​ BRAINLIEST!!!!!!!
Murrr4er [49]
All the angles inside a quadrilateral add to 360 degrees.
But first, we should solve for x
Opposite angles add up to 180 degrees.
So we'll use angles B and D
x + 10 + x + 24 = 180
combine like terms
2x + 34 = 180
subtract 34 from both sides
2x = 146
divide both sides by 2
x = 73

Now let's solve for the angles
Angle D: x + 24 = 97
Angle B: x + 10 = 83
Angle A: x + 15 = 88

Opposite angles add up to 180
we know that angle A is 88
C + 88 = 180
subtract 88 from both sides
C = 92

Hope this helps!
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