What is 0.111 repeating as a fraction
1 answer:
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Answer:
B = 1.875
Step-by-step explanation:
given that A varies directly as B and inversely as C then the equation relating them is
A = ← k is the constant of variation
to find k use the condition A = 12 when B = 3 and C = 2 , then
12 = ( multiply both sides by 2 to clear the fraction )
24 = 3k ( divide both sides by 3 )
8 = k
A = ← equation of variation
when A = 10 and C = 1.5 , then
10 = ( multiply both sides by 1.5 )
15 = 8B ( divide both sides by 8 )
1.875 = B
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Answer:
Ratio states that it shows the relative sizes of two or more values.
i,e a to b or a: b or
(1)
Given the statement: A zoo has 17 monkeys and 12 chimpanzees
Write this situation in three ways, comparing the first quantity to the second quantity.
By definition of ratio:
Ratio in three ways are:
17 to 12
17 : 12
or we can write this as 17 over 12.
therefore, Option B is correct.
(2)
As per the statement: In Largo City, about one in every nine homes contains four televisions
Write this situation in three ways in the form of ratio, comparing the first quantity to the second quantity.
By definition of ratio:
Ratio in three ways are:
4 to 9
4 : 9
therefore, only options C is correct.
(3)
write three ratios for 7 over 35
By definition of ratio;
We have;
Divide both numerator and denominator by 7 we have;
.....[A]
⇒
Multiply both numerator and denominator by 2 in A we get;
Similarly,
Multiply both numerator and denominator by 3 in A, we get
Therefore, 3 ratios equal to 7 over 35 are;
or we can write it as one-fifth
or two -tenths
or three over fifteen
hence, Option D is correct.
(4)
Given the statement: Jake sold 28 tickets to the school fair, and Jeanne sold 21 tickets
Number of ticket Jake sold = 28 ticket.
Number of ticket Jeanne sold = 21 ticket.
To find: Number of ticket Jeanne sold to number of ticket Jake sold.
By definition of ratio
⇒
Therefore, the ratio in simplest form is,