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Nikolay [14]
3 years ago
10

Express the following ratio in lowest terms. 105 knives to 120 spoons

Mathematics
1 answer:
kondor19780726 [428]3 years ago
5 0

Answer:

the ratio in lowest terms is: 7 knives to 8 spoons = 7/8

Step-by-step explanation:

First express the ratio 105 knives to 120 spoons as the quotient:

\frac{105}{120}

next write each of the numbers in prime-factor form:

105 = 3 x 5 x 7

120 = 2 x 2 x 2 x 3 x 5

Now notice that when we express the quotient sing the factor form of the numbers, the factor 3, and 5 can be cancelled out because they appear in numerator an in denominator at the same time. therefore our quotient becomes:

\frac{105}{120} =\frac{3*5*7}{2*2*2*3*5} =\frac{7}{2*2*2} =\frac{7}{8}

Therefore the ratio in lowest terms is: 7 knives to 8 spoons

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The probability is 6/13

Step-by-step explanation:

Number of zucchini seed packets = 24

Number of other seed packets = 28

Total number of packets = 24 + 28 = 52

Probability is given by

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A cereal mixture contains Almond, Wheat, and Corn in the ratio of 3:5:7. What amount of this mixture contains 9 kilograms of Alm
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The total cereal mixture is 45 kilograms

<em><u>Solution:</u></em>

Given that, cereal mixture contains Almond, Wheat, and Corn in the ratio of 3:5:7

Therefore,

Almond : Wheat : Corn = 3 : 5 : 7

Let the almond present be 3x

Let the wheat present be 5x

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Therefore,

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