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2 years ago

Marisa made a fruit salad. She used 1 cup of green

Mathematics

1 answer:

lukranit [14]2 years ago

8 0

Answer:

b = 2(g + r)

Marisa used b = 8 cups of blueberries.

Step-by-step explanation:

Let g be the cups of green grapes, r be the cups of red grapes, and b be the cups o blueberries Marisa used..

then we know that

g = 1 (Marisa used 1 cup of green grapes)

r = 3 (Marisa used 3 cup of red grapes)

g + r = 4

Marisa used twice as may cups of blueberries as cups of grapes; this means

b = 2(g + r )

b = 2(4) = 8

Marisa used 8 cups pf blueberries.

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The complete question is:

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2 years ago

A pond has 150 fish and the population decreases by 8% each day. How many days before there are 30 fish

nlexa [21]

Answer:

19 days

Step-by-step explanation:

Given

$a = 150$ --- initial

$r = 8\%$ -- rate

Required

Days when the fish gets to 30

The function is exponential and as such it follows;

$y = ab^x$

Where x represents the number of days and y the number of fishes

Because the fishes decreases;

$b = 1 - r$

So, we have:

$b = 1 - 8\%$

Express as decimal

$b = 1 - 0.08$

$b = 0.92$

In $y = ab^x$

$a =150$

$y = 30$

$b = 0.92$

So, we have:

$30 = 150 * 0.92^x$

Divide both sides by 150

$0.2 = 0.92^x$

Take log of both sides

$log(0.2) = log(0.92^x)$

Apply law of logarithm

$log(0.2) = x\ log(0.92)$

Make x the subject

$x = \frac{log(0.2)}{log(0.92)}$

$x = \frac{-0.6990}{-0.0362}$

$x = 19.309$

$x \approx 19$

Hence, it takes approximately 19 days

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2 years ago