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2 years ago

2/5x + 4 = 1/4x. Find x

Mathematics

1 answer:

irina1246 [14]2 years ago

4 0

Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Exact Form:

x = − 80 /3

Decimal Form:

x = − 26. ¯

Mixed Number Form:

x = − 26 2

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2^5×8^4/16=2^5×(2^a)4/2^4=2^5×2^b/2^4=2^c A= B= C= Please I'm gonna fail math

aleksley [76]

9514 1404 393

Answer:

a = 3, b = 12, c = 13

Step-by-step explanation:

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

(a^b)/(a^c) = a^(b-c)

(a^b)^c = a^(bc)

___

You seem to have ...

$\dfrac{2^5\times8^4}{16}=\dfrac{2^5\times(2^3)^4}{2^4}\qquad (a=3)\\\\=\dfrac{2^5\times2^{3\cdot4}}{2^4}=\dfrac{2^5\times2^{12}}{2^4}\qquad (b=12)\\\\=2^{5+12-4}=2^{13}\qquad(c=13)$

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Additional comment

I find it easy to remember the rules of exponents by remembering that an exponent signifies repeated multiplication. It tells you how many times the base is a factor in the product.

$2\cdot2\cdot2 = 2^3\qquad\text{2 is a factor 3 times}$

Multiplication increases the number of times the base is a factor.

$(2\cdot2\cdot2)\times(2\cdot2)=(2\cdot2\cdot2\cdot2\cdot2)\\\\2^3\times2^2=2^{3+2}=2^5$

Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.

$\dfrac{(2\cdot2\cdot2)}{(2\cdot2)}=2\\\\\dfrac{2^3}{2^2}=2^{3-2}=2^1$

5 0

2 years ago

3. What is the distance between -49 and 167?

Salsk061 [2.6K]

Answer:

c) IS THE ANSWER

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What ar

beks73 [17]

Answer:

A≈1075.21

d Diameter

Using the formulas

Solving forA

≈

1075.21009

Step-by-step explanation:

5 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B3%7D%20%20%3D%20%7B27%7D%5E%7B%3F%7D%20" id="TexFormula1" title=" \sqrt{3} = {27

marishachu [46]

Let the unknown be x

$\sqrt{3} = 27^x$

$3^\frac{1}{2} = 3^{3x}$

Both the base number are 3, so we equate the exponent:

$\dfrac{1}{2} = 3x$

$x = \dfrac{1}{2} \div 3$

$x = \dfrac{1}{2} \times \dfrac{1}{3}$

$x = \dfrac{1}{6}$

Answer: 1/6

3 0

3 years ago

PLEASE HELP ME WITH THIS PROBLEM!!

Veronika [31]

Your answer would be 24, so you got it right.

This is because you need to find the lowest common multiple of 6 and 8, that is, the lowest number that divides by both 6 and 8.

We can do this by either writing out the multiples of 6 and 8 until you find a common one, or you can find the prime factors of 6 and 8 and multiply them:

6-> 3 × 2
8-> 2 × (4)->2 × 2

So we would need to do 3 × 2 × 2 × 2 = 3 × 8 = 24

I hope this helps!

4 0

3 years ago