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Anuta_ua [19.1K]
2 years ago
7

Amelie solves the following system of equations.

Mathematics
1 answer:
PIT_PIT [208]2 years ago
3 0

The values of x and y that satisfy this system of equations are 10 and 5 respectively

<h3>Simultaneous equation</h3>

Given the system of equations

x + y = 20

3x - 3y = 30

_____________________

x + y = 20

x - y = 10

Add the equations

2x = 20 + 10

2x = 30

x = 30/2

x = 15

Substitute

x -y = 10

15 - y = 10

y = 5

Hence the values of x and y that satisfy this system of equations are 10 and 5 respectively

Learn more on simultaneous equation here: brainly.com/question/16863577

#SPJ1

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Answer:

3/52

Step-by-step explanation:

The experimental probability of winning a free gallon of milk will be calculated as under -

It is given that, total number of outcomes = 156

Non-winning customers = 147 (it is given in the question)

Thus, the winning customers will be = Total outcomes - Non-winning customers

Expected winning customers = 156 - 147 = 9

The probability is calculated as -

Probability (Winning customer) = winning customers/total customers

Probability (Winning customer) =  = 9/156 = 3/52

7 0
2 years ago
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The formula for finding the volume of a rectangular prism is V = lwh. The height h of a rectangular prism is 12 centimeters. The
Debora [2.8K]

Answer:

x = 12

prism's length = 36 centimeters

Prisms width = 25 centimeters

Step-by-step explanation:

volume of a rectangular prism, V = length × width × height

volume = 10,800 cubic centimeters

prism's length = 3x

Prisms height = 12 centimeters

Prisms width = (2x + 1)

volume of a rectangular prism, V = length × width × height

10,800 = 3x * 2x + 1 * 12

10,800 = 6x² + 3x * 12

10,800 = 72x² + 36x

72x² + 36x - 10,800 = 0

2x² + x - 300 = 0

Using quadratic formula

x = -b ± √b² - 4ac / 2a

= -1 ± √1² - 4*2*-300 / 2*2

= -1 ± √1 - (-2400) / 4

= -1 ± √1 + 2400 / 4

= -1 ± √2401 / 4

= -1 ± 49 / 4

x = (-1 + 49)/4 or (-1 - 49)/4

= 48/4 or -50/4

x = 12 or -12.5

x cannot be a negative value

Therefore, x = 12

prism's length = 3x

= 3(12)

= 36 centimeters

prism's length = 36 centimeters

Prisms width = (2x + 1)

= 2(12) + 1

= 24 + 1

= 25 centimeters

Prisms width = 25 centimeters

6 0
3 years ago
Select all of the values for x that would make the inequality 2 x &gt; 10 true.
Ksenya-84 [330]

Answer:

d 8

e 30

Step-by-step explanation:

x must be greater than 5

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\frac{x}{y} &#10;  \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]
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What is the value of the expression (-5) -3?
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