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3 years ago

What is the justification for the step taken from line 2 to line 3?

Mathematics

2 answers:

stiv31 [10]3 years ago

3 0

Step-by-step explanation:

$3x+9-7x=x+10+x\\-4x+9=2x+10\\-6x+9=10\\$

In the line 2, only variables were operated with a reduction of similar terms in each side of the equation, giving as result -4x at one side, and 2x at the other side.
In the line 3, terms with variables were joined together in one side of the equation, and then, they were operate it, given as result -6X.

brilliants [131]3 years ago

3 0

Answer:

the subtraction property of equality

Step-by-step explanation:

up up up uppity

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Algebra 2 will give points and brainly

aivan3 [116]

Answer:

Step-by-step explanation:

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3 years ago

20 points A rancher is planning the goat pen shown in the diagram. Determine the value of x, given that the rancher plans to use

4vir4ik [10]

I think i know what it is...
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4 years ago

Caleb has 27 video games. He bought 8 more from a garage sale. He then sold 1/35 of his games to a used video game store. How ma

erica [24]

Answer:

Step-by-step explanation:

So first you add 27 and 8, which is 35.

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5 0

3 years ago

Read 2 more answers

its 76 degrees fahrenheit at the 6000-foot level of a mountain, and 49 degrees Fahrenheit at the 12000-foot level of the mountai

brilliants [131]

$T = \frac{-9}{2}x + 103$ is the linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet.

Solution:

The linear equation in slope intercept form is given as:

T = cx + k ------ (i)

Where "t" is the temperature at an elevation x

And x is in thousands of feet

Given that its 76 degrees fahrenheit at the 6000-foot level of a mountain

Given, when c = 6 thousand ft and $T = 76^{\circ}$ fahrenheit

This implies,

From (i)

76 = c(6) + k

76 = 6c + k

⇒ k = 76 - 6c ----- (ii)

Given that 49 degrees Fahrenheit at the 12000-foot level of the mountain

Given, when c = 12 thousand ft and $T = 49^{\circ}$ fahrenheit

This implies,

From (i)

49 = c(12) + k

49 = 12c + k

Substitute (ii) in above equation

49 = 12c + (76 - 6c)

49 = 12c + 76 - 6c

49 - 76 = 6c

6c = -27

$c = \frac{-9}{2}$

Substituting the value of c in (ii) we get

$k = 76 - 6( \frac{-9}{2})\\\\k = 76 + 27 = 103$

Substituting the value of c and k in (i)

$T = \frac{-9}{2}x + 103$

Where "x" is in thousands of feet

Thus the required linear equation is found

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3 years ago

(10 POINTS AND BRAINLIEST FOR BEST). Last month Ben spent $380 on food and $420 on personal items.

lions [1.4K]

4000 is his total monthly balance.

420 + 380 = 800

800/4000 = 0.20

0.20 = 20%

He spent 20% of his monthly income on food and personal items.

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3 years ago