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DochEvi [55]
3 years ago
10

The sum of two numbers is $30$. the difference of twice the larger number and three times the smaller number is $5$. what is the

positive difference between the two numbers?
Mathematics
1 answer:
Shtirlitz [24]3 years ago
8 0
X+y=30
2x-3y=5

y=30-x

2x-3(30-x)=30
2x-90+3x=30
5x=120
x=24

y=30-x
y=30-24
y=6

The positive difference between the two numbers is 18.
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Kryger [21]

Answer:

Infinite amount of solutions.

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Regular + Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

6y + 4 - 3y - 7 = 3(y - 1)

<u>Step 2: Solve for </u><em><u>y</u></em>

  1. Combine like terms:                         3y - 3 = 3(y - 1)
  2. Distribute 3:                                       3y - 3 = 3y - 3
  3. Subtract 3y on both sides:               -3 = -3

Here we see that there will be infinite amount of solutions. We can plug in any number <em>y</em> and it will render the equation true.

8 0
2 years ago
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kiruha [24]

Answer:

B

Step-by-step explanation:

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4 0
3 years ago
Answer this please im giving brainliest
Colt1911 [192]
Since the question says she plans to work "more than" the hours last month, it is h>74.25 (second choice down). If it said "more than or equal to," it would be the third option down.

ANSWER: h>74.25 (second choice down)

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8 0
3 years ago
Kindly solve this question 6 too !!
Shkiper50 [21]

Answer:

x=1

Step-by-step explanation:

~~~~~x = \dfrac{1}{2 - \dfrac 1{2-\dfrac{1}{2-x}}}\\\\\\\implies x = \dfrac{1}{2 - \dfrac 1{\dfrac{4-2x-1}{2-x}}}\\\\\\\implies x= \dfrac{1}{2 - \dfrac{2-x}{3-2x}}\\\\\\\implies x = \dfrac{1}{\dfrac{6-4x-2+x}{3-2x}}\\\\\\\implies x = \dfrac{3-2x}{4-3x}\\\\\\\implies 4x -3x^2 = 3-2x\\\\\\\implies 3x^2 -4x +3-2x = 0\\\\\\\implies 3x^2 -6x +3 = 0\\\\\\\implies 3(x^2 -2x +1) =0\\\\\\\implies x^2 -2x +1 = 0\\\\\\\implies (x-1)^2 = 0\\\\\\\implies x -1 = 0\\\\\\\implies x = 1

7 0
2 years ago
Hacer una representación gráfica para nuestro caso tenemos por un punto M pasan infinitas rectas?​
vladimir1956 [14]

Answer:

make a graphical representation for our case do we have infinite lines pass through a point M?

Step-by-step explanation:

If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations. If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

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3 years ago
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