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dimaraw [331]
3 years ago
13

5. Solve the equation 15 - 4x = 2(3x + 1).

Mathematics
1 answer:
Anastaziya [24]3 years ago
4 0

\huge\boxed{\ x=13/10 } :)

My steps:

First thing we do is: Rearrange terms

  • 15−4x=2(3x+1)
  • −4x+15=2(3x+1)

Second thing we do is: Distribute

  • −4x+15=2(3+1)
  • −4x+15=6x+2

Third thing we do is : Subtract  15 from both sides of the equation

  • −4x+15=6x+2
  • −4x+15−15=6x+2−15

Then you carry on and find solution:

  • x=13/10

Hope this help's!

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You can just simplify to make an equivalent equation:

(2)(3x + 8) = 5 ⇒ 6x + 16 = 5


Answer:

\boxed{\bf~6x + 16 = 5}


Hope it helped,


BioTeacher101


<em>(If you have any questions feel free to ask them in the comments)</em>


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Step-by-step explanation:

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6 0
3 years ago
The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the c
ANEK [815]

Answer:

The expression used to find the change in temperature per hour is Algebraic expression

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

Step-by-step explanation:

A temperature falls from 0 to  - 12\dfrac{1}{4}     in     3\dfrac{1}{2} \ hours

Which expression finds the change in temperature per hour.

From the above given information;

The initial temperature is 0

The final temperature is  - 12\dfrac{1}{4}  

The change in temperature is \Delta T = T_2  -  T_1

\Delta  T = -12\dfrac{1}{4} -0

\Delta T = -12.25

Thus;

-12.25 ° = 3.5 hours

To find the change in x°   per hour; we have;

x°            = 1 hour

The expression used to find the change in temperature per hour is Algebraic expression

From above if we cross multiply ; we have;

(- 12.25° × 1 hour) = (x° × 3.5 hour)

Divide both sides by 3.5 hours; we have:

\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}

x° =  - 3.5

x° = - 3\dfrac{1}{2}

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

8 0
3 years ago
Help please this my second time posting this please help
Nesterboy [21]

Answer:

x = √30

Step-by-step explanation:

From small triangle BDC:

using Pythagorean theorem

CB² = BD² + DC²

x² = BD² + 3²

Fron triangles BDC and ADB.

ΔBDC has long leg BD and short leg DC.

ΔADB has long leg AD and shirt leg BD.

AD : BD = BD : DC

7 : BD = BD : 3

7*3 = BD*BD

BD² = 7*3 = 21

x² =  BD² + 3² = 21+9 = 30

x² = 30

x = √30

4 0
3 years ago
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