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zvonat [6]
3 years ago
9

What is 37+8x=4(7-x)

Mathematics
1 answer:
nadezda [96]3 years ago
7 0
Simplifying
37 + 8x = 4(7 + -1x)
37 + 8x = (7 * 4 + -1x * 4)
37 + 8x = (28 + -4x)

Solving
37 + 8x = 28 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
37 + 8x + 4x = 28 + -4x + 4x

Combine like terms: 8x + 4x = 12x
37 + 12x = 28 + -4x + 4x

Combine like terms: -4x + 4x = 0
37 + 12x = 28 + 0
37 + 12x = 28

Add '-37' to each side of the equation.
37 + -37 + 12x = 28 + -37

Combine like terms: 37 + -37 = 0
0 + 12x = 28 + -37
12x = 28 + -37

Combine like terms: 28 + -37 = -9
12x = -9

Divide each side by '12'.
x = -0.75

Simplifying
x = -0.75
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Factor 6x? + x – 12 by grouping.<br> C
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Answer:

6x² + x - 12 =  (2x + 3) (3x - 4)

Step-by-step explanation:

Factor 6x² + x - 12 by grouping

we need to rewrite the middle term as a sum of two terms whose product is (6* −12) = −72 and whose sum is 1

The middle term = x = 9x - 8x

  6x² + x - 12

= 6x² + 9x - 8x - 12       Grouping the first two terms and the last two terms

= (6x² + 9x) + ( - 8x - 12)

From the first two terms take 3x as a common and from the two terms take (-4) as a common

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

Take (2x + 3) as a common

= <u> (2x + 3) (3x - 4)</u>

7 0
3 years ago
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
amid [387]

Answer:

314.96in

Step-by-step explanation:

7 0
3 years ago
For which value of x is the equation 3(x+2)+x=2x+16 true?
Arturiano [62]

Answer:

1) take the first part of the equation and work it by multiplying (x+2) by 3

3(x+2)+x

3x +6+x

2)put the answer you got into the question you were given

3x + 6+x =2x +16

3)group the x variables and the non x variables

3x +x -2x =16 -6

4) Now work the equation you have

3x+x-2x=16-6

4x-2x=16-6

2x=16-6

2x=10

5) you divide both sides by the x variable

2x=10

2x/2 =10/2

x=5

therefore x is 5

3 0
3 years ago
Please help me with 10
romanna [79]

Answer:

yes the answer is he does make sense

3 0
2 years ago
Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am
zheka24 [161]

SOLUTION

We have been given the equation of the decay as

\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}

So we are looking for the time

Plugging the values into the equation, we have

\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}

Taking Ln of both sides, we have

\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}

Hence the answer is 4308 to the nearest year

8 0
9 months ago
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