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Lostsunrise [7]
2 years ago
6

Write the equation in slope-intercept form. 5x+3y=12

Mathematics
1 answer:
Umnica [9.8K]2 years ago
7 0
5x+3y=12
Subtract 5x from both sides
3y=-5x+12
Divide by 3
Y=-5/3x +4
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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
Miguel wants to make 5 inch line can he do this using the 1/2 in strip that he has.Explain
Harlamova29_29 [7]
Frist 5 in / 1 over 2 = 2.5

So yes she can do that
6 0
3 years ago
Can't figure it out!!
Zanzabum
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\bf \cfrac{2-b}{2b}=\cfrac{2-b}{10}\implies 20-10b=4b-2b^2\impliedby cross-multiplying&#10;\\\\\\&#10;2b^2-4b-10b+20=0\implies 2b^2-14b+20=0&#10;\\\\\\&#10;b^2-7b+10=0\implies &#10;(b-2)(b-5)=0\implies b=&#10;\begin{cases}&#10;\boxed{5}\\&#10;2&#10;\end{cases}
8 0
3 years ago
Help im still lazy lol
jonny [76]

Answer:

t=-105

Step-by-step explanation:

-\frac{1}{15} t =7

What we need to do here is to isolate t.

Let's multiply both sides by -15.

-\frac{1}{15}t  * -15 = 1t

7*-15= -105

t=-105

6 0
3 years ago
Read 2 more answers
f(x) = (x − 3)(x + 3)[x − (2 − i)][x − (2 + i)] The function has real roots and imaginary roots.
Feliz [49]
The real roots are 3 and -3.
Imaginary roots:-
x - (2 - i) = 0
x = 2 -i  is one imaginary root and the other is  2 + i
7 0
3 years ago
Read 2 more answers
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