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2 years ago

75=(4x-25) What is the value of x?

Mathematics

1 answer:

Yuri [45]2 years ago

5 0

Answer:

x = 25

Step-by-step explanation:

75 = (4x - 25)

Since there are no numbers outside of the parentheses, we can remove them.

75 = 4x - 25

Now we can see that we can add 25 to both sides.

100 = 4x

Divide both sides by 4 to isolate x.

25 = x

Check by plugging in the value into the original equation.

75 = 4(25) - 25

75 = 100 - 25

75 = 75

Your answer is correct.

Hope this helps!

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2 years ago

Summer day camp is about to begin. Today there are 132 boys signed up and 219 total children signed up. How many more than girls

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2 years ago

Please help meeee ………..

Len [333]

Answer:

x = 5

Step-by-step explanation:

The equality of bases property says powers of the same base will be equal if and only if the powers are equal. This property is used to solve exponential equations.

<h3>Application</h3>

$\dfrac{(2)^x}{2}=16\qquad\text{copy of the original equation}\\\\2\times\dfrac{(2)^x}{2}=2\times16\qquad\text{multiply by 2 to isolate the base}\\\\2^x=32\qquad\text{simplify}\\\\2^x=2^5\qquad\text{rewrite the constant as a power of 2}\\\\\boxed{x=5}\qquad\text{use the Equality of Bases Property}$

<em>Additional comment</em>

Equating the exponents is fully equivalent to taking the logarithm of both sides of the equation, to that base.

$\log_2(2^x)=\log_2(2^5)\ \Longrightarrow\ x=5$

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1 year ago