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emmainna [20.7K]
3 years ago
12

When a tank is 20% empty, it has 24 more liters of gas that is does when it is 20% full. How many liters of gas could a tank hol

d if it is full
full answers please no fake answers if answer correctly i will give you brainlist
Mathematics
1 answer:
Rasek [7]3 years ago
4 0

Answer:

40 L

Step-by-step explanation:

20% empty is the same as 80%full

.8f = .2f + 24

subtract .2f from both sides

.6f = 24

divide both sides by .6

f = 40

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There were 42 apples in each crate. 12 such crates of apples were delivered to a factory. 4 apples were rotten and had to be thr
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50 boxes

Step-by-step explanation:

first we can find how many apples there are

42*12=504

then subtract 4 of the rotten apples

504-4=500

then find how many boxes there can be

500/10=50

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The weather map shows a zone of possible flash flooding in front of a cold front.
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The wind speed s (in miles per hour) is related to the distance (in miles) the tornado travels by the equation s = 93log d + 65.
Vesnalui [34]

Answer:

The distance the tornado traveled was approximately 205 miles.

Step-by-step explanation:

The equation representing the relationship between the wind speed (in miles per hour) and the distance the tornado travels (in miles) is:

s=93\log d+65

Compute the value of <em>d</em> for <em>s</em> = 280 as follows:

        s=93\log d+65

     280=93\log d+65

93\log d=280-65\\93\log d=215

   \log d=2.312\\

        d=10^{2.312}\\d=205.035\\d\approx 205

Thus, the distance the tornado traveled was approximately 205 miles.

7 0
3 years ago
in 2012, the population of a city was 63,000. by 2017, the population was reduced to approximately 54,100. identify any equation
Akimi4 [234]

Answer:

<em></em>f(x) = 63000(0.97)^x<em></em>

<em></em>

Step-by-step explanation:

Given

f(0) = 63000 ---x = 0, in 2012

f(5) = 54100 -- x = 5, in 2017

Required

Select all possible equations

Because there is a reduction in the population, as time increases; the rate must be less than 1.

An exponential function is represented as:

f(x) = ab^x

Where

b = rate

rate > 1 in options (a) and (b) i.e. 1.03

This implies that (a) and (b) cannot be true

For option (c), we have:

f(x) = 63000(0.97)^x

Set x = 0

f(0) = 63000(0.97)^0 = 63000*1=63000\\

Set x = 5

f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100

<em>This is true because the calculated values of f(0) and f(5) correspond to the given values</em>

For option (d), we have:

f(x) = 52477(0.97)^x

Set x = 0

f(0) = 52477(0.97)^0 - 52477* 1 = 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

For option (e), we have:

f(x) = 63000(0.97)^\frac{1}{5x}

Set x = 0

f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =undefined

<em>This is false because the f(x) is not undefined at x = 0</em>

For option (f), we have:

f(x) = 52477(0.97)^{5x

Set x = 0

f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

<em>From the computations above, only (c) </em>f(x) = 63000(0.97)^x<em> is true</em>

4 0
3 years ago
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