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guapka [62]
3 years ago
8

a store had 44 regular sodas, both diet and regular. the ratio of diet sodas to regular sodas was 8:4. how many diet sodas were

there?
Mathematics
1 answer:
timurjin [86]3 years ago
7 0
There are 88 diet sodas
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What is x given ABC~DBE.<br> Show your work
alexandr1967 [171]

x = 37.5 (or) \frac{75}{2}

Solution:

Given \triangle A B C \sim \triangle D B E

AC = 50, DE = 30, EC = 25, BE = x, BC = 25 + x

To find the value of x:

Property of similar triangles:

If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.

$\frac{BE}{BC} =\frac{DE}{AC}

$\frac{x}{25+x} =\frac{30}{50}

Do cross multiplication, we get

50x=30(25+x)

50x=750+30x

Subtract 30x from both sides of the equation.

20x=750

Divide by 20 on both sides of the equation, we get

x = 37.5 (or) \frac{75}{2}

Hence the value of x is 37.5 or \frac{75}{2}.

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3 years ago
Please help mee What is the smallest positive integer whose proper divisors add up to more than the integer itself?
Law Incorporation [45]

Answer:

12

Step-by-step explanation:

The proper divisors of 12 are

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2 years ago
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11111nata11111 [884]

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Step-by-step explanation:

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The ratio of ducks to geese in a pond is 3 : 5. There are 27 ducks.<br> How many geese are there?
Gemiola [76]

Answer:

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Colt1911 [192]

Answer:

Region\ A= \frac{209}{2240}\\\\Region\ B= \frac{629}{2240}

Step-by-step explanation:

The English ton, also known as the long ton, is equivalent to 2,240 pounds. Therefore, the fractional parts, of each of the two fish, of the English ton are:

Fish caught in region A:

A= \frac{209}{2240}

Fish caught in region B:

B= \frac{629}{2240}

Both fractions are irreducible.

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2 years ago
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