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Alekssandra [29.7K]
3 years ago
10

Lin's bottle holds 3 1/4 cups of water. She drank 1 cup of water. What fraction of the water in the bottle did she drink?

Mathematics
1 answer:
DanielleElmas [232]3 years ago
8 0

Answer:

30.76923077 or (approx: 30.77)

Step-by-step explanation:

-has 3 1/4 cups

-drinks 1 cup

(3 1/4-1=2 1/4)

3 1/4=100%               (3 1/4 divided by 1=3.25)

    1  =x%                    (100 divided by 3.25)

Approx 30.77%

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Five times the difference of twice a number and seven is negative twenty-five. Find the number.
Sati [7]

The number is 1

Step-by-step explanation:

Let x be the required number

Then according to given statement

Five times the difference of twice a number and seven is negative twenty-five.

5(2x-7) = -25

Simplifying

10x-35 = -25\\

Adding 35 on both sides

10x-35+35 = -25+35\\10x = 10

Dividing both sides by 10

\frac{10x}{10} = \frac{10}{10}\\x = 1

Verification:

5[2(1)-7] = -25\\5(2-7) = -25\\5(-5) = -25\\-25=-25

Hence,

1 is the number

Keywords: Linear equation

Learn more about linear equation at:

  • brainly.com/question/4706270
  • brainly.com/question/4710621

#LearnwithBrainly

4 0
2 years ago
If 3,000 bacteria, with a growth constant (k) of 2.8 per hour, are present at the beginning of an experiment, in how many hours
Ivenika [448]

Given:

Initial number of bacteria = 3000

With a growth constant (k) of 2.8 per hour.

To find:

The number of hours it will take to be 15,000 bacteria.

Solution:

Let P(t) be the number of bacteria after t number of hours.

The exponential growth model (continuously) is:

P(t)=P_0e^{kt}

Where, P_0 is the initial value, k is the growth constant and t is the number of years.

Putting P(t)=15000,P_0=3000, k=2.8 in the above formula, we get

15000=3000e^{2.8t}

\dfrac{15000}{3000}=e^{2.8t}

5=e^{2.8t}

Taking ln on both sides, we get

\ln 5=\ln e^{2.8t}

1.609438=2.8t                  [\because \ln e^x=x]

\dfrac{1.609438}{2.8}=t

0.574799=t

t\approx 0.575

Therefore, the number of bacteria will be 15,000 after 0.575 hours.

4 0
2 years ago
2. Use the image below to answer problems A-C. Show all work.
Yakvenalex [24]
<span>A. Calculate the value of x.</span>
6 0
3 years ago
Help<br> -9x + 3.0 &gt; 6.6<br> Group of answer choices<br><br> x 0.4<br><br> x 2.4
Y_Kistochka [10]

Answer:

x  0.4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

3 0
3 years ago
Simplify to the lowest terms
Black_prince [1.1K]

Answer:

1/2

Step-by-step explanation:

divide the numerator & denominator by 4

4 0
3 years ago
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