$4 + \frac{3}{7}x - 2 - \frac{2}{7}x\\\\\text{combine like terms}\\\\\left(\dfrac{3}{7}x-\dfrac{2}{7}x\right)+(4-2)=\dfrac{3-2}{7}x+2=\boxed{\dfrac{1}{7}x+2}$

6 0

4 years ago

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Solve 3x + 2 = 15 for x using the change of base formula log base b of y equals log y over log b. −1.594 0.465 2.406 4.465

disa [49]

Answer:

The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.

Solution:

Given, expression is $3^{(x+2)}=15$

We have to solve the above expression using change of base formula which is given as

$\log _{b} a=\frac{\log a}{\log b}$

Now, let us first apply logarithm for the given expression.

Then given expression turns into as, $x+2=\log _{3} 15$

By using change of base formula,

$x+2=\frac{\log _{10} 15}{\log _{10} 3}$

x + 2 = 2.4649

x = 2.4649 – 2 = 0.4649

Hence, the value of x is 0.465 approximately and second option is correct one.

3 0

3 years ago

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Marley and Kaitlyn are making duct tape wallets to sell at a craft fair

Mariana [72]

Answer:

16%

Step-by-step explanation:

20/125 = 0.16

0.16 x 100 = 16% (multiply by 100 to get a percentage)

4 0

3 years ago