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yanalaym [24]
2 years ago
9

A water delivery truck is filling the water tank at Morgan's house. The truck arrived with 2400 L of water. The number of liters

, L, remaining in the truck at time t minutes decreases at a rate of 110 L/min. Write an equation to represent this situation and then find how long it takes for the truck to have 1100 L left.

Mathematics
2 answers:
Leto [7]2 years ago
7 0

Answer:

L = -110t + 2400, t =11.8 min


Step-by-step explanation:

my brain is smart ¯\_(ツ)_/¯

Luda [366]2 years ago
3 0

Answer:

11.81 minutes

Step-by-step explanation:

Here is a simple step-by-step explaination of how to solve this word problem:

Since the truck has 2,400L in it to begin with, the first part of our equation will be 2,400L

L = 2400L



Next we know that the water in the truck decreases at a <u>rate</u> of 110L/min, or <u>Liters per minute</u>.

So we will put that in the equation:

L = -110L + 2400L

Now that we have our equation set up, its time to solve.

To figure out how much water it needs to lose in <u>total</u> to end up with 1100 L left, we subtract 1,100 from 2,400.

2,400 - 1,100= 1,300&#10;&#10;

Now we can take that number and divide it by how many liters per minute were lost.

1,300/110=11.81

So the total amount of time it took for the truck to have 1,100 L left is 11.81 minutes. Your answer would be

B. L=-110t + 2400, t=11.8 min

Hope this helps! : )

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Answer: Can I get brainliest and 5 stars? thank you.

a) \frac{65}{99}

b) \frac{59}{90}

c) \frac{13}{20}

Step-by-step explanation:

a) 0.65 I can't put line above it, but the line expresses that 6 and 5 and repeating infinitely. Let X equal the decimal number.

x=0.65

First multiply by 1 followed by as many zeros as repeating numbers there are. In this case since 6 and 5 are the repeating numbers, we have to add 2 zeros which is basically multiplying by 100

0.65*100=65.65 (another 65 remains on the right because they're infinite.)

Now substract from the original number. Now we have a new equation that says: 100x=65.65.

Substract equation 1 from equation 2.

100x=65.65\\-x=0.65

---------------------------------

99x=65

Solve just like any other equation. Divide by 99 to isolate x.

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b) 0.65^-This one is a little bit different because we only have 1 repeating number.

In this case we have to multiply by 10.

0.65^-*10=6.55^-

Equation 1: x=0.65^-

Equation 2: 10x=6.55^-

Substract.

10x=6.55^-\\-x=0.65^-

-----------------------

9x=5.9

divide by 9 to isolate x

\frac{9x}{9}=\frac{5.9}{9}

x=\frac{5.9}{9}

To get rid of the decimal in the numerator, multiply both numerator and denominator by 10 so that we don't change the fraction.

x=(\frac{5.9*10}{9*10} )

x=\frac{59}{90} and this is your fraction.

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c) 0.65 this one has no repeating number. It's a finite decimal number.

I assume you already know that; a=\frac{a}{1}, so, we can do the same here to have a fraction.

0.65=\frac{0.65}{1}

Now, in order to get rid of the decimal, multiply by 1 followed by as many zeros as decimal numbers are. In this case 2 zeros because there are 2 decimal numbers, so it's 100. Remember that if you do it in the numerator, you have to do it in the denominator as well to not change the fraction.

\frac{0.65*100}{1*100} =\frac{65}{100}

Simplify if possible.

\frac{65/5}{100/5} =\frac{13}{20} This is your fraction.

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I hope this helps you feel free to contact me

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