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Marianna [84]
3 years ago
13

When 12 is added to a number the result is 32 less than 3 times a number. What is this number?

Mathematics
2 answers:
neonofarm [45]3 years ago
7 0
X - the number

x+12=3x-32 \\
x-3x=-32-12 \\
-2x=-44 \\
x=\frac{-44}{-2} \\
x=22

The number is 22.
seropon [69]3 years ago
4 0
Let the number = x
12 + x = 3x - 32
x = 3x - 44 Subtract 12 from both sides
-2x = -44 Subtract 3x from both sides
<span>x = 22 Divide by -2

SO THE ANSWER IS 22. HOPE THIS HELPS!!!!!!!</span>
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Find an equation of the line parallel to x=5y-9 and passing through (2,-4). Express in standard form.
Anon25 [30]

Answer:

x - 5y = 22

Step-by-step explanation:

Step 1:  rewrite the equation of the given line in to slope-intercept form by solving for y

 x = 5y - 9    

     -5y = -x - 9               (subtract 5y and x from both sides)

        y = x/5 + 9/5           (divide both side by -5)

Step 2:  Our line is parallel to this line, so it has the same slope, but a different  y-intercept, so set up the equation...

  y = x/5 + b      

We are given a  point (x, y) of (2, -4), so plug that in and solve for b.  

 -4 = 2/5 + b

            -4 - 2/5 = b      (subtract 2/5 from both sides to isolate b)  

                   -20/5 - 2/5 = b

 

                         -22/5 = b      (simplify)

So the equation of our line is  y = x/5 - 22/5

Step 3:  Standard form is ax + by = c, where a is a positive integer

subtract x/5 from both sides...

-x/5 + y = - 22/5

multiply by -5 so x becomes a positive integer

x - 5y = 22  

3 0
3 years ago
22.47 divided by 3.4
Shalnov [3]
About 6.6088 (rounded to the nearest thousandth)
3 0
3 years ago
Biologist Dr. Cytoplasm wants to know how many elephants in the nature reserve have broken tusks . Of the 30 elephants that he o
dalvyx [7]

Answer:

Of the 600 elephants that he observes in random places in the reserve, he counts \frac{8}{30}(600)=160 elephants with broken tusks.

Step-by-step explanation:

Let x denotes number of elephants having broken tusks out of 600 elephants.

Of the 30 elephants that he observes in random places in the reserve, he counts 8 elephants with broken tusks.

So,

Of the 1 elephants that he observes in random places in the reserve, he counts \frac{8}{30} elephants with broken tusks.

Therefore,

Of the 600 elephants that he observes in random places in the reserve, he counts \frac{8}{30}(600)=160 elephants with broken tusks.

7 0
4 years ago
When the solution of x2 - 9x - 6 is expressed as <br> what is the value of r?<br> NIH
Olegator [25]

Hey there! :)

Answer:

r = 105.

Step-by-step explanation:

In the quadratic formula, √r = {\sqrt{b^{2}-4ac }

Where a = 1, b = -9, and c = -6. Therefore:

√r = √(-9)² - 4(1)(-6)

√r = √81 -4(-6)

√r = √81 + 24

√r = √105

Therefore, r = 105.

5 0
4 years ago
How do you write three million, four hundred thousand, seven in numerical form
polet [3.4K]

Answer:

3,400,007

Step-by-step explanation:

three million= 3,000,000

four hundred thousand= 400,000

seven= 7

so:

three million, four hundred thousand, seven= 3,400,007

5 0
3 years ago
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