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Nataly [62]
3 years ago
10

What are three inequalities equal to 15x+20y=150?

Mathematics
1 answer:
Mamont248 [21]3 years ago
5 0

Answer:

1. 3x+4y=30

2. 30x+40y=300

3. x+4/3y=10

Step-by-step explanation:

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Angie and Kenny play online video games. Angie buys 1 software package and 3 months of game play. Kenny buys 1 software package
Olin [163]

<u>Angie buys</u>

1 Software package + 3 months of game play.

Each software package costs = $20.

Let us assume cost of one month of game play = $x.

Therefore, total cost to Angie for 1 Software package + 3 months of game play = 20*1 + 3x = 20 +3x.

<u> Kenny buys </u>

1 software package + 2 months of game play.

Therefore, total cost to Kenny for 1 software package + 2 months of game play = 20*1 + 2*x = 20+2x.

Their total cost = $115.

Adding their costs and set it equal to 115, we get

<h3>20 +3x +  20+2x  = 115.</h3>

Now, we need to solve it for x.

40 + 5x = 115.

5x = 115 - 40.

5x = 75.

Dividing both sides by 5, we get

x= 15.

<h3>Therefore, $15 is the total cost of one month of game play.</h3>
6 0
3 years ago
Find the fourth angle.<br> picture below pleasae help
erastovalidia [21]

Answer:

88°

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Geometry</u>

  • Sum of Angles: 180(n - 2)°

Step-by-step explanation:

<u>Step 1: Identify</u>

We have a polygon, so n = 4.

  1. Substitute [SA]:                    180(4 - 2)°
  2. (Parenthesis) Subtract:        180(2)°
  3. Multiply:                                360°

This tells us the sum of all angles in the shape.

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

  1. Set up equation:                     90° + 93° + 89° + x° = 360°
  2. Combine like terms:               x° + 272° = 360°
  3. Isolate <em>x</em>:                                  x = 88°
4 0
3 years ago
Pip, Angad and Nick share some sweets in the ratio 4:4:1. Pip gets 20 sweets. How many
Likurg_2 [28]

Answer:

45

Step-by-step explanation:

The 4 part of the ratio represents Pip's 20 sweets

Dividing 20 by 4 gives the value of one part of the ratio

20 ÷ 4 = 5 sweets ← value of 1 part of the ratio

Thus

Pip gets 20 sweets

Angad gets 20 sweets ( 4 parts of the ratio )

Nick gets 5 sweets ( 1 part of the ratio )

Total number of sweets = 20 + 20 + 5 = 45

7 0
3 years ago
Simplify. Radical Expression's.<br><br> √18
gayaneshka [121]
I hope this helps you

7 0
3 years ago
Sin(x+2y)=cos(2x -y)
patriot [66]

~~~~~~~\sin (x+2y) = \cos (2x-y)\\\\\\\implies \dfrac{d}{dx} \sin(x+2y) = \dfrac{d}{dx} \cos (2x-y)\\\\\\\implies \cos(x+2y)\dfrac{d}{dx}(x+2y) = -\sin(2x-y) \dfrac{d}{dx}(2x-y)~~~~~~~~~~~;[\text{Chain rule}]\\\\\\\implies \cos(x+2y) \left(1+2 \dfrac{dy}{dx}\right) = -\sin(2x-y)\left(2-\dfrac{dy}{dx} \right)\\\\\\\implies \cos(x+2y) + 2\cos(x+2y)\dfrac{dy}{dx} = -2\sin(2x-y)+\sin(2x-y) \dfrac{dy}{dx}\\ \\\\

\implies \sin(2x-y) \dfrac{dy}{dx} - 2\cos(x+2y) \dfrac{dy}{dx} = \cos(x+2y) + 2\sin (2x-y)\\\\\\\implies \left[\sin(2x-y) -2\cos(x+2y) \right] \dfrac{dy}{dx} = \cos(x+2y) + 2\sin (2x-y)\\\\\\\implies \dfrac{dy}{dx} = \dfrac{\cos(x+2y) + 2\sin (2x-y)}{\sin(2x-y) -2\cos(x+2y) }

7 0
2 years ago
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