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7 is to 35 as 5 is to?
7/35 = 5/x You have a proportion here. A proportion is a statement that two ratios are equal. The numbers that form a proportion are called the terms of proportion. There is a special relationship between the terms, called the cross products property. In the proportion that you have, 7 and x are called the extremes of the proportion, and 35 and 5 are called the means. In a proportion, the product of the means equals to the product of the extremes. So, 7/35 = 5/x (7)(x) = (35)(5) 7x = 175 7x/7 = 175/7 x = 25 Thus 7 is to 35 as 5 is to 25.
What does the proportion 0.6 over 1.1n over 8.47 equal?
Let's form the proportion: 0.6/1.1 = n/8.47 or (6/10)/(11/10) = (n/1)/(847/100) (6/10)(10/11) = (n/1)(100/847) 6/11 = 100n/847 Proportion is a statement that two ratios are equal. The value of n makes this proportion true. The numbers that form a proportion are called the term of proportion. There is a special relationship between the terms, called the cross products property. That is, 6/11 = 100n/847 (6)(847) = (11)(100n) 5082 = 1100n so, n must be a number that when multiply 1100 equals 5082. 5082/1100 = (1100/1100)n 4.62 = n So, the proportion is: 6/11 = [100(4.62)]/847 6/11 = 462/847 Or, If you look at 847, you see that 11 x 77 = 847. So 100n must equals 6 x 77 = 462, in order to make the proportion true. So, 100n = 462 n = 4.62 and 100 x 4.62 = 462. Thus the proportion is: 6/11 = 462/847 If you want the original proportion is, 0.6/1.1 = 4.62/8.47
Is 8 to 9 proportional to 18 to 16?
Oh, what a lovely question! To find out if two ratios are proportional, we can cross multiply and see if the results are equal. So, for 8 to 9 and 18 to 16, when we cross multiply (8 x 16 and 9 x 18), we see that they are not equal. That means these ratios are not proportional, but it's all part of the happy little journey of learning!
Are ratios supposed to be reduced?
Oh, isn't that a happy little question! Ratios are like colors on our palette, they can be simplified to make our painting easier to understand. Reducing ratios can help us see the relationship between numbers more clearly, just like adding highlights to a painting to make it pop. But remember, whether reduced or not, ratios are just tools to help us create something beautiful.
What three fields of study use ratios?
Oh, ratios are like little pieces of magic that can be found in many places! You'll see them dancing gracefully in fields like mathematics, finance, and science. They help us compare quantities and understand relationships in a beautiful and harmonious way. Just remember, ratios are there to guide you, not to intimidate you.
What is a true proportion?
A true proportion is when two ratios are equal to one another. To prove this, you need to find the cross products of the ratios and see if they are equal. An example of a true proportion are the ratios 1/2 and 5/10, if you take the cross product the result is 2 x 5 = 1 x 10, which are equal.
How can you use constant ratios to determine if a relationship is proportional?
set up a proportion and see if both sides simplify to the same answer. If the 2 ratios represent a constant ratio they will simplify into fractions
How can you check to see if fraction written in simplest form?
Answer: You check to see if fraction written in simplest form if you can't divide it by the Greatest Common Factor anymore.
How can you tell if a proportion is false?
Multiply the cross products, and see if they are equal. If they are equal, the proportion is true. If they are unequal, the proportion is false.
7 is to 35 as 5 is to?
7/35 = 5/x You have a proportion here. A proportion is a statement that two ratios are equal. The numbers that form a proportion are called the terms of proportion. There is a special relationship between the terms, called the cross products property. In the proportion that you have, 7 and x are called the extremes of the proportion, and 35 and 5 are called the means. In a proportion, the product of the means equals to the product of the extremes. So, 7/35 = 5/x (7)(x) = (35)(5) 7x = 175 7x/7 = 175/7 x = 25 Thus 7 is to 35 as 5 is to 25.
How can you use ratios of adjacent sides to prove if two rectangles are similar?
You can use ratios of adjacent sides to prove if two rectangles are similar by comparing to see if the ratios are the same
What does the proportion 0.6 over 1.1n over 8.47 equal?
Let's form the proportion: 0.6/1.1 = n/8.47 or (6/10)/(11/10) = (n/1)/(847/100) (6/10)(10/11) = (n/1)(100/847) 6/11 = 100n/847 Proportion is a statement that two ratios are equal. The value of n makes this proportion true. The numbers that form a proportion are called the term of proportion. There is a special relationship between the terms, called the cross products property. That is, 6/11 = 100n/847 (6)(847) = (11)(100n) 5082 = 1100n so, n must be a number that when multiply 1100 equals 5082. 5082/1100 = (1100/1100)n 4.62 = n So, the proportion is: 6/11 = [100(4.62)]/847 6/11 = 462/847 Or, If you look at 847, you see that 11 x 77 = 847. So 100n must equals 6 x 77 = 462, in order to make the proportion true. So, 100n = 462 n = 4.62 and 100 x 4.62 = 462. Thus the proportion is: 6/11 = 462/847 If you want the original proportion is, 0.6/1.1 = 4.62/8.47
How would you determined that a ratio is proportion?
A ratio cannot become a proportion but can be solved in one. So you want to know how to tell if two ratios/fractions are equal? First, cross multiply the fractions, then check to see if the equation is true: 3/4 = 27/36 because 3 * 36 = 4 * 27 Work it out on your calculator. Also: 1/3 =/= 1/2 (does not equal) because 1 * 2 =/= 1 * 3 Another example: 1 / 2 = 2 / 4 because 1 * 4 = 2 * 2 Get it?
Where are you most likely to see number written in word form and standard form?
Word-form . . . on a check or a formal invitation Standard form . . . everywhere else
What shows which elements are in compound and their ratios?
A formula shows constituent elements and their ratios. In the formula Al2O3, you can see aluminum and oxygen bonded in a 2-3 ratio.
How can you check to see if a fraction is written in simplest form?
If the GCF of the numerator and the denominator is 1, the fraction is in its simplest form.
How do you check to see if a fraction is in its simplest form?
Find the GCF of the numerator and the denominator and divide them both by it. If the GCF is 1, the fraction is in its simplest form.
