1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
solong [7]
3 years ago
8

Lee drank 1 2/3 quarts water Monday. He drank 2/5 water Tuesday. How amny quarts did he drink today?

Mathematics
1 answer:
stellarik [79]3 years ago
8 0

Answer:

Lee drank 31/15 qt. of water (2 1/15 qt. as a mixed number, or approximately 20.07 qt. as a decimal).

Step-by-step explanation:

To add and subtract fractions, a least common denominator needs to be found. But first, to make it easier, mixed numbers should be replaced with improper fractions. So, Lee drank 5/3 qt. of water.

Now to find the LCD (least common denominator), the denominators of each fraction should be multiplied by 1, then 2, then 3, etc until a product of one fraction is the same as that of another (as shown):

For 2/5, the denominator is 5, so 5*1 = 5, 5*2 = 10, 5*3 = 15...

For 5/3, the denominator is 3, so 3*1 = 3, 3*2 = 6, 3*3 = 9, 3*3 = 4, 3*5 = 15...

15 is the LCD, since both denominators can be multiplied by a whole number for a product of 15.

Now, each fraction is multiplied by 1, by multiplying each fractions numerators and denominators by the number found previously that causes the denominator to equal 15:

For 2/5, 5*3 = 15, so both 2 and 5 are multiplied by 3

        2* 3 = 6, 5 * 3 = 15, so 2/5 = 6/15

For 5/3, 3*5 = 15, so both 5 and 3 are multiplied by 5

        5* 5 = 25, 3 * 5 = 15, so 5/3 = 25/15

Now these fractions can easily be added or subtracted by performing these operations on their numerators. Sonia drank 6/15 qt. more than Lee, so she drank 6/15 + 25/15 qt. of water, or 31/15 qt.

Step-by-step explanation:

You might be interested in
Determine if the conclusion follows logically from the premises. Is this a valid or invalid argument?
Oksi-84 [34.3K]

Answer:

Valid Argument

Step-by-step explanation:

An argument is valid if its conclusion follows with certainty from its premises.

Given:

Premise: If it has an engine, I can fix it.

Premise: Cars have engines.

Conclusion: I can fix cars.

The argument is valid since the conclusion follows with certainty from the given premises.

7 0
3 years ago
Tina is saving to buy a notebook computer. She has two options. The first option is to put $500 away initially and save $10 ever
Alexxandr [17]

Answer:

Tina would save the same amount using either option after 20 months.

With either option, Tina would save $700.

Step-by-step explanation:

This problem can be modeled by a first order equation:

Where Tina's saved money after n months is:

S(n) = S(0) + rn, where S(0) is the money put away initially and r is how much she saves every month.

The first option is to put $500 away initially and save $10 every month, so:

S_{1}(n) = 500 + 10n

The second option is to put $100 away initially and save $30 every month, so:

S_{2}(n) = 100 + 30n

After how many months would Tina save the same amount using either option?

It will happen at the month n in which S_{1}(n) = S_{2}(n), so:

S_{1}(n) = S_{2}(n)

500 + 10n = 100 + 30n

500 - 100 = 30 - 10n

400 = 20n

20n = 400

n = \frac{400}{20}

n = 20.

Tina would save the same amount using either option after 20 months.

How much would she save with either option?

We can choose S_{1}(20) or S_{2}(20), since they are equal

S_{1}(20) = 500 + 10(20) = 500 + 200 = 700

With either option, Tina would save $700.

3 0
3 years ago
a game consists of randomly choosing a bag (labelled 1, 2 or 3) out of a choice of 100, and then again randomly, picking a ball
Anton [14]

Answer:

hello your question has some missing information attached below is the missing information

answer :  112 black balls

Step-by-step explanation:

Given data:

Each bag contains ; 10 balls

Total number of ball = 100 balls

<u>first: calculate the number of Black balls to be picked from the three bags</u>

From bag 1 = 0.4 * 0.35 * 10 = 1.4 balls

From bag 2 =  0.8 * 0.45 * 10 = 3.6 balls

From bag 3 = 0.3 * 0.2 * 10 = 0.6 ball

Total black balls picked = 5.6

∴ percentage of black balls picked given that each bag contains 10

5.6 / 10 * Total balls available  =  56 balls = 56% of 100 balls

Hence If the player plays this game 200 times the number of black balls he will pick = 56% * 200 =  112 balls

4 0
3 years ago
Find all solutions and solutions in interval[0,2pi)
frutty [35]
\bf sin(2\theta)=2sin(\theta)cos(\theta)\\\\&#10;-------------------------------\\\\&#10;sin(2x)-\sqrt{3}cos(x)=0\implies 2sin(x)cos(x)-cos(x)\sqrt{3}=0&#10;\\\\\\&#10;\stackrel{\stackrel{common}{factor}}{cos(x)}[2sin(x)-\sqrt{3}]=0\\\\&#10;-------------------------------\\\\

\bf cos(x)=0\implies \measuredangle x=&#10;\begin{cases}&#10;\frac{\pi }{2}\\\\&#10;\frac{3\pi }{2}&#10;\end{cases}\\\\&#10;-------------------------------\\\\&#10;2sin(x)-\sqrt{3}=0\implies 2sin(x)=\sqrt{3}\implies sin(x)=\cfrac{\sqrt{3}}{2}&#10;\\\\\\&#10;\measuredangle x=&#10;\begin{cases}&#10;\frac{\pi }{3}\\\\ \frac{2\pi }{3}&#10;\end{cases}
7 0
3 years ago
This function <br>Is it differentiable at x = 1​ ?
nikklg [1K]

It is not differentiable at x=1 since the slope of the tangent line as x -> 1 from the right is 1 while the slope of the tangent line as x->1 from the left is -1

8 0
1 year ago
Read 2 more answers
Other questions:
  • 47 is the result when 12 and x are added. What is the value of x? Enter your answer in the box as a fraction in simplest form.
    12·2 answers
  • What is 3 over 28 in simplest form????????????????????????????????????????????????
    15·1 answer
  • Find the sum of the first 20 terms of the arithmetic sequence 4, 10, 16, 22....
    11·1 answer
  • How long will it take to have R30 000 for a trip to Europe if I invest R20 000 now at 15% per year, compounded quarterly?
    11·1 answer
  • Subtract (17+4.5m+8k) - (7.5m-9+4K)
    12·2 answers
  • A triangle has one angle that measures 32 degrees, one angle that measures 127 degrees, and one angle that measures 21 degrees.
    12·1 answer
  • What's the distance ?
    9·1 answer
  • PLEASE PLEASE HELP!!!!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!!!!
    13·1 answer
  • I have to study for a test. It's for data management. Does anyone have tips? (Grade 7)
    10·1 answer
  • Which of the following statements is true of an essay's conclusion?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!