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Tresset [83]
3 years ago
7

If the sum of a number and six is tripled. the result is five less than twice the number

Mathematics
2 answers:
Anit [1.1K]3 years ago
8 0
Set up an equation like this and solve for x (which represents the number):

3(x + 6) = 2x - 5

3x + 18 = 2x - 5

x + 18 = -5

x = -23

You can complete a check to verify the answer:

3(-23 + 6) = 2(-23) - 5

3(-17) = -46 - 5

-51 = -51

Check.
Readme [11.4K]3 years ago
4 0
We need to build two equations. We then need to make them equal to each other

Let’s have x as the number.
Ths sum of a number and 6 tripled.
We are first adding the number and 6: x+6
We need to triple it, meaning multiply by three:
3(x+6)

The result is five less than twice the number.
The equation we made equals the equation we are about to make.
We need to first multiply the number by two: 2x
Now subtract 5 since it’s five less: 2x-5

This is what our equation looks like:
2x-5=3(x+6)
Now we need to get x by itself.

Let’s first distribute.
2x-5=3x+18
Let’s add 5 to both sides.
2x=3x+23
Now, subtract 3x from both sides.
-1x=23
Divide.
23/-1=-23

If the number is -23, let’s check. We need to plug -23 in for x.
2(-23)-5=3(-23+6)
-46-5=3(-17)
-51= -51

So, the number is -23.
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3 people work full time together on a project, but their total time on the project is to be equivalent to only 1 person working
NikAS [45]
Let x = the amount of time that the third person needs to work on the job to add up to one

1 = 1/2 + 1/3 + x

1 - 1/2 - 1/3 = x

To subtract the fractions we need to put them all over a common denominator. Let's use 3*2 = 6 as the denominator; so 1 = 6/6, 1/2 = 3/6, 1/3 = 2/6:

6/6 - 3/6 - 2/6 = x

1/6 = x

The third person must work 1/6 time on the project.
3 0
3 years ago
What is the slope for 2x-1=-3y
dexar [7]

Answer:

The slope is -2/3

Step-by-step explanation:

It is recommended to solve for 'y' variable the equation given, this means, leave the 'y' variable alone in one side of the equation. Doing that, leaves us the following:

y=\frac{-2}{3}x +\frac{1}{3}

This is the general equation of a line: y=mx+b where 'm' is the slope (by comparison), thus We have the desired result

5 0
3 years ago
If 32^2c=8^c what is the value of c? 1 2 3 5
Elina [12.6K]

Answer:

  • as written, c ≈ 0.000979 or c = 4
  • alternate interpretation: c = 0

Step-by-step explanation:

<em>As written</em>, you have an equation that cannot be solved algebraically.

  (32^2)c = 8^c

  1024c = 8^c

  1024c -8^c = 0 . . . . . . rewrite as an expression compared to zero

A graphical solution shows two values for c: {0.000978551672551, 4}. We presume you're interested in c = 4.

___

If you mean ...

  32^(2c) = 8^c

  (2^5)^(2c) = (2^3)^c . . . . rewriting as powers of 2

  2^(10c) = 2^(3c) . . . . . . . simplify

  10c = 3c . . . . . . . . . . . . . .log base 2

  7c = 0 . . . . . . . . . . . . . . . subtract 3c

  c = 0 . . . . . . . . . . . . . . . . divide by 7

7 0
3 years ago
Determine the kinetic energy of a 100-kg roller coaster car that is moving with a speed of 20.0/ms.
rjkz [21]

Answer:

The kinetic energy is 20,000\ J

Step-by-step explanation:

The kinetic energy of a body is defined as:

k = \frac{1}{2}ms ^ 2

Where <em>m</em> is the mass of the roller coaster car

<em>s</em> is the speed and <em>k</em> is the kinetic energy

We know that s = 20\ m/s

m = 100\ kg

Then the kinetic energy of the roller coaster car is:

k = \frac{1}{2}(100)(20) ^ 2\\\\k = 50(20) ^ 2\\\\k = 50 * 400\\\\k = 20,000\ J

3 0
3 years ago
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Artyom0805 [142]

Answer:

iugyvhjbnkijogyutfvbh

Step-by-step explanation:

:D

8 0
3 years ago
Read 2 more answers
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