can yall teach me how to do proportions because I'm confused, I really need help. I really cannot fail because I have goals of getting straight a's anything will be appreciated.
Sure! Proportions are a way of comparing two ratios. To solve a proportion, you need to set up two equivalent ratios and then solve for the missing value.
For example, if you have the proportion 3/4 = x/8, you can set up two equivalent ratios by multiplying both sides by 8:
3/4 = x/8
3*8/4*8 = x/8*8
24/32 = x/8*8
24/32 = x
Therefore, x = 24.
To practice, try solving the following proportion:
2/3 = x/9
Answer: 2/3 = x/9
2*9/3*9 = x/9*9
18/27 = x/9*9
18/27 = x
Therefore, x = 18.
oh my gosh, thank you that was so fast!
That's because a bot answered this question, but don't trust its answers
e.g
it just made up a proportion
2/3 = x/9 , which I would do this way:
3x = 18
x = 6
did you notice that the bot messed up its own questions, both of them ????
no not really since im super confused but the bot helped me, but thanks anyways you helped aswell
The bot gave you a canned answer that you could have obtained from
Google, Apple's Siri, or Amazon's Alexa, or a good oldfashioned textbook.
The bot did not help you by giving you two wrong results
oh, foreal I don't be on question llc alot.
Of course! I'd be happy to help you understand proportions. Proportions are a fundamental concept in mathematics and are used to compare quantities in a balanced or equivalent form. They are often used in various real-life scenarios, such as scaling maps, enlarging or reducing images, or calculating ingredient quantities in a recipe.
To solve a proportion, you need to follow these steps:
Step 1: Understand the Proportion Format
A proportion consists of two equal ratios, separated by an equals sign (=). It generally looks like this: a/b = c/d. Each ratio has two terms, a numerator and a denominator.
Step 2: Cross-Multiply
To solve a proportion, you multiply the numerator of one ratio by the denominator of the other ratio. For example, in the proportion a/b = c/d, you would multiply a by d and b by c.
Step 3: Set up an Equation
Set the two products obtained in Step 2 equal to each other in the form of an equation.
Step 4: Solve for the Unknown
Rearrange the equation from Step 3 to solve for the unknown variable. This typically involves isolating the variable on one side of the equation.
Step 5: Check your Solution
Plug the value of the unknown variable back into the original proportion to ensure that both ratios are still equal.
Let's work through an example:
Suppose we have the proportion: 3/5 = x/10. We need to find the value of x.
Step 1: Understand the Proportion Format
The given proportion is 3/5 = x/10.
Step 2: Cross-Multiply
3 × 10 = 5 × x, which simplifies to 30 = 5x.
Step 3: Set up an Equation
30 = 5x
Step 4: Solve for the Unknown
Divide both sides of the equation by 5: 30/5 = (5x)/5. This simplifies to 6 = x.
Step 5: Check your Solution
Plug the value of x back into the original proportion: 3/5 = 6/10. Both sides are equal, so the solution is correct.
Remember to practice solving various proportion problems to build your understanding and confidence. Feel free to ask for further clarification or more examples if needed. Good luck with your studies!