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2 years ago

6

Which equation could represent a linear combination of the system?

1 answer:

Ghella [55]2 years ago

7 0

The equation that could represent a linear combination of the system 2/3x + 5/2y = 15 and 4x + 15y = 12 is 0 = 26

<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change, slope or gradient

<h3>How to determine the linear combination to the system?</h3>

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2/3x + 5/2y = 15

4x + 15y = 12

Multiply the first equation by 6, to eliminate the fractions.

6 * (2/3x + 5/2y = 15)

This gives

4x + 15y = 90

Subtract the equation 4x + 15y = 90 from 4x + 15y = 12

4x - 4x + 15y - 15y = 12 - 90

Evaluate the difference

0 + 0 = -78

Evaluate the sum

0 = -78

The above equation is the same equation as option (b) 0 = 26

This is so because they both represent that the system of equations have no solution

Hence, the equation that could represent a linear combination of the system is 0 = 26

Read more about system of linear equations at

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<u>Complete question</u>

The system of equations below has no solution.

2/3x + 5/2y = 15

4x + 15y = 12

Which equation could represent a linear combination of the system?

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Answer:

D. 100

Step-by-step explanation:

Mean = Sum of all numbers divided by the count of all numbers

Mean = 50

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50 = X / 4

200 = X

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2 years ago

3. Janet is flying a kite on a string that is 75m long. The kite is 62m above the ground. Estimate the distance between Janet an

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Answer: a) It will be a right triangle with a hypotenuse of 75 and a vertical leg that is 62.
b) The length of the kite string is 75 (given in the problem). However, I believe you are looking for the distance from the spot on the ground beneath the kite to Janet. That is about 42.2 m.

To find the missing distance in the right triangle. You have to use the Pythagorean Theorem. I set it up and solve it below.

a^2 + b^2 = c^2
x^2 + 62^2 = 75^2
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3 years ago

Nina decided to raise money for a community organization that provides free classes and legal

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A percentage is a way to describe a part of a whole. The money that is raised by Nina in the second month is $960.

<h3>What are Percentages?</h3>

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the money raised by Nina in the first month is $800, while the money raised by Nina in the second month is 20% more.

Therefore, the money raised by Nina in the second month is,

Money raised = $800 + 20% of $800

= $800 + 0.20($800)

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Hence, the money that is raised by Nina in the second month is $960.

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2 years ago

A manufacturer of cell phone screens is concerned because 12 percent of the screens manufactured using a previous process were r

fomenos

Answer: A.

$H_0:p=0.12\\\\H_a:p$

Step-by-step explanation:

Null hypothesis $(H_0)$ : A statement describing population parameters as per the objective of the study. It usually takes "≤,≥,=" signs.

Alternative hypothesis $(H_a)$ : A statement describing population parameters as per the objective of the study. It usually takes ">, <, ≠" signs.

Let p be the proportion of screens that will be rejected.

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3 years ago

What is the area of the figure?

Vanyuwa [196]

Answer: 42.5 m

Step-by-step explanation:

Split the figure into a rectangle and a triangle.

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35+7.5= 42.5m

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3 years ago

Read 2 more answers