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rodikova [14]
3 years ago
7

A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is proportiona

l, how many calories are there in 180 crackers?
Mathematics
1 answer:
AveGali [126]3 years ago
5 0

Answer:

900 calories

Step-by-step explanation:

First you have to find the unit rate, how many calories are there in ONE cracker? To find that you have to divide 60 ÷ 12 = 5 and to check with the other one, 75 ÷ 15 = 5

So, one cracker is 5 calories. Now, how many calories are in 180 crackers? You multiply, 180 x 5 = 900

That means there are 900 calories in 180 crackers.

Hope that helps and have a great day!

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nlexa [21]

Answer:

19 days

Step-by-step explanation:

Given

a = 150 --- initial

r = 8\% -- rate

Required

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The function is exponential and as such it follows;

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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

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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)

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

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

x = 19.309

x \approx 19

<em>Hence, it takes approximately 19 days</em>

3 0
3 years ago
Which numbers are divisible by 9? 119 702 432 641 372
zepelin [54]
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6 0
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Answer:

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Answer:

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