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cupoosta [38]
3 years ago
5

Mr Davis is creating a spice mixture for a recipe.2/5 of the spice mixture was oregano 1/3 of the spice mixture was basil the re

maining spice mixture was chili powder what fraction of the total amount of spice mixture was oregano and basil
Mathematics
1 answer:
attashe74 [19]3 years ago
7 0

Answer: \frac{11}{15}

Step-by-step explanation:

You know that:

- 2/5 of the spice mixture was oregano.

- 1/3 of the spice mixture was basil.

Then, to find the fraction of the total amount of spice mixture that was oregano and basil, you must add both fractions, as following:

- Find the least common multiply of the denominators:

LCM=5*3=15

- Divide the LCM by each original denominator and multiply the result by each numerator.

- Make the addition.

Then, the result is:

\frac{(2*3)+(1*5)}{15}=\frac{6+5}{15}=\frac{11}{15}

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Step-by-step explanation:

the positive integer numbers that are divisible by 7 are an arithmetic sequence by always adding 7 :

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...

an = a1 + (n-1)×7 = 7 + (n-1)×7 = n×7

the sum of an arithmetic sequence is

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with a1 being the first term (in our case 7).

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we need to find n, where the sequence reaches 200.

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so, with n = 29 we would get a number higher than 200.

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the sum of all positive integers below 200 that are divisible by 7 is then

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