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mamaluj [8]
2 years ago
8

Find the value of variable in the problem below. -73 = 4(3x - 2) - 3x

Mathematics
2 answers:
julsineya [31]2 years ago
8 0

Answer:

x = -7.22 or -7 2/9

Step-by-step explanation:

-73 = 4(3x - 2) - 3x

-73 = 12x -8 -3x

-73 = 9x - 8

-65 = 9x

-65/9 = x

-7.22 or -7 2/9 = x

Sveta_85 [38]2 years ago
7 0

Answer:

x = -65/9

Step-by-step explanation:

-73 = 4(3x - 2) - 3x

-73 = 12x - 8 - 3x

-73 = 12x - 3x - 8

-73 = 9x - 8

+8           +8

-------------------

-65 = 9x

/9       /9

-------------------

-65/9 = x

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A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 lower than in the first.
Mazyrski [523]

Answer:

First city: $5,500

Second city: $5,000

Step-by-step explanation:

Let's define x as the hotel price in the first city and y the hotel price in the second city.  We can start with this equation:

y = x - 500 (The hotel before tax in the 2nd city was $500 lower than in the 1st.)

Then we can say

0.065x + 0.045y = 582.50  (the sum of the tax amounts were $582.50)

We place the value of y from the first equation in the second equation:

0.065x + 0.045 (x - 500) = 582.50

0.065x + 0.045x - 22.50 = 582.50 (simplifying and adding 22.5 on each side)...

0.11x = 605

x = 5,500

The cost of the first hotel was $5,500

Thus, the cost of the second hotel was $5,000 (x - 500)

6 0
3 years ago
Juan hikes up a mountain. He hikes back down at a constant rate. The table shows Juan's elevation at each hour after he begins h
Dimas [21]

The linear function that describes Juan's elevation during his descent is:

B. y = -1460x + 7500.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, each hour, the height decays by 1460, hence the slope is of m = -1460, then:

y = -1460x + b.

The y-intercept is found considering that when x = 1, y = 6040, hence:

b = 6040 + 1460 = 7500.

Which means that option B is correct.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

8 0
2 years ago
Plz hurry I really need the answer… like now
Dvinal [7]

Answer:

2700 square feet

Step-by-step explanation:

5+4=9x300=2700

3 0
2 years ago
Let R={0, 1, 2, 3} be the range of h(x) = x - 7. The domain of h inverse is_____.
Alecsey [184]

Answer:

{-7,-6,-5,-4}

Step-by-step explanation:

5 0
3 years ago
Is 0.75 greater than 0.100?
Naya [18.7K]
Yes because you only need to look at the first decimal for problems like these and the first number you see a seven and a one and seven is greater than one
8 0
3 years ago
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