if on a scale drawing 35 feet are represented by 25 inches, then a scale of 1/8 inch represents how many feet?
1 answer:
Answer:
7/40 feet
Step-by-step explanation:
Solve using proportions:
Find the scale factor by dividing the numerators 25 by 1/8.
25 ÷ 1/8 = 200 This is the common ratio
To get from the top left number to the top right number, you divide 25 by 200.
To get from the bottom left number to the bottom right number, you divide 35 by 200.
35 ÷ 200 = 0.175
1/8 of an inch represents 0.175 feet.
To find 0.175 in fraction form, reduce 35/200 to its lowest terms.
35/200 = 7/40
1/8 of an inch represents 7/40 feet.
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Answer:
Option: c is correct.
Step-by-step explanation:
We are given that paco needs at least 3/8 yard of twine to build a model ship.
that is we require twine of amount greater than 3/8 yards.
<em>now we need to check among the given options which quantity is greater than 3/8 yards.</em>
a)
3/10 yard.
As we know that for two rational numbers with the same numerator but with different denominator the number whose denominator is smaller is a greater quantity.
Hence 3/10 < 3/8
Hence option a is incorrect.
b)
1/4 yard
As to compare to rational numbers we have to either make the numerator equal or their denominator equal. Hence here we multiply and divide 1/4 by 2 to get 8 in the denominator.
as 2/8 < 3/8
since the denominator is same and the number with the same denominator but with different numerator are compared as whose numerator is greater is a greater quantity.
Hence option b is incorrect.
c)
3/4 yard
Clearly both the numbers have the same numerator but different denominator and we know that for two rational numbers with the same numerator but with different denominator the number whose denominator is smaller is a greater quantity.
Hence 3/8 < 3/4
Hence, option c is correct.
d)
1/8 yard
clearly both the numbers have the same denominator and we know that for two rational numbers withe same denominator but with different numerator the number whose numerator is smaller is a smaller quantity.
Hence, 1/8 < 3/8
Hence, option d is incorrect.