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Solve the following equation: 25 = b }a. {5} b. {125} C. {45, 5} d. {F125, 125}...

Question

Solve the following equation: 25 = b }a. {5} b. {125} C. {45, 5} d. {F125, 125}

Solve the following equation: 25 = b } a. {5} b. {125} C. {45, 5} d. {F125, 125}



Answers

Which of the numbers represent $125 \% ?$ a. 1.25 b. 0.125 c. $\frac{5}{4}$ d. $\frac{5}{4} \%$

So if we take 100 25% and turn it to a decimal, we'd multiply 1 25 by 250.1 losing decimal twice to the left. So you have 1.25 which is answer a. That's one of the answers. If we turn to a fraction, we had multiply 1 25 by one over 100. That's right. It's a little better here, Um, 1 25 by one, over 100. Now, if we go ahead and do this, we get 1 25 over 100. And if I divide by 25 I actually get five force on top Bottom 25. So see would be the fraction A and see other correct answers.

Okay, so we're starting cross multiplying. So we get that eight X is equal to five times five, which is 25. So x is equal to 25/8. Okay, so 25/8 is 3.125 So we get that X is equal to 3.1 to 5, and that's equal to be.

We have a problem here. We have to figure out a B, C or D. What X value is gonna make this true? And I immediately look and I say five is multiplied by something to be 25. And because I know that five times five is 25 I'm basically gonna choose the value that makes everything in this parentheses e equal to five. And I know that eight minus three is equal to five. So I believe X is equal to three, which is the answer choice be.

In this problem, we're going to solve the equation, be divided by 25 equals five. Then we'll check our result. So to solve this, we're going to use them to call the multiplication property of equality. And that says we can take the left side and the right side of an equation and multiply it by the same number. So the number we're going to multiply the left and right, biased 25. And the reason we're using 25 is because the B the variable B is being divided by 25 Soto, undo that division where we use multiplication of the same number. So we have 25 times be over 25 equals five times 25. So, like I said, that multiplication cancels the division. So those bees cancel out, leaving me with Just be I'm sorry those 25 cancel out leaving me would just be and 5 to 25 125. So that's our solution. Now we're gonna check that to check it. We replace the B in the original equation with our solution of 1 25 and so we're wondering, does 1 25 divided by 25 equal five. So if you check it, it does. Five equals five is a true statement, which means our solution B equals 1 25 was correct.


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