Michael bought 2 liters of milk. He drank liters of it and
3 liters to his brother. How much milk did Michael haz
gave 8
left?

Answers

Answer 1

The amount of milk that Michael has left is: 49/40 liters or 1⁹/₄₀ liters

How to solve algebra word problems?

Amount of milk bought by Michael = 2 liters

If he drank 2/5 liters of it and gave 3/8 liters to his brother, it mean the total amount of milk from the original quantity taken is:

2/5 + 3/8 = 31/40

Thus, the amount of milk he will have left after all is:

2 - 31/40

= 49/40 = 1⁹/₄₀ liters

Therefore the left milk is 49/40 liters.

So, Michael is left with 49/40 liters of milk.

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Complete question is:

Michael bought 2 liters of milk. He drank 2/5 liters of it and gave 3/8 liters to his brother. How much milk did Michael have left?


Related Questions

Expand.
Your answer should be a polynomial in standard form.
(3b-4)(b+2)=

Answers

Answer:

3b^2 +2b -8

Step-by-step explanation:

Answer:

\(3b^2+2b-8\)

Step-by-step explanation:

ya you want points well first to answer gets 50 points and a brainiest

Answers

Answer:

plzz me

Step-by-step explanation:

The cubic function has three roots. Verify
that x=2 is one of them and find the other two.

Answers

a)  Verified

b)  4 + √7 and 4 - √7

Given a cubic function with three roots, one of the roots is given as x = 2. The other two roots can be found by using the factor theorem. Using factor theorem, we have(f(x) = x³ - 10x² + 27x - 18)(x - 2) is a factor of f(x)if and only if f(2) = 0.So, we have f(2) = 2³ - 10(2²) + 27(2) - 18 = 0. Therefore, (x - 2) is a factor of f(x) and we can find the other two roots by factorizing the cubic function. Using long division method, we get f(x) = (x - 2)(x² - 8x + 9) Now, to find the other two roots, we solve the quadratic equation x² - 8x + 9 = 0 using the quadratic formula. x = (-b ± √(b² - 4ac))/2a. We have a = 1, b = -8 and c = 9. Substituting the given values in the above formula, we get x = (8 ± √(8² - 4(1)(9)))/2= (8 ± √28)/2= 4 ± √7. Therefore, the three roots of the cubic function are 2, 4 + √7 and 4 - √7.

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what is nine and forty-two hundredths

Answers

Answer:

9.42

Step-by-step explanation:

Breaking the phrase down:

'Nine' would be the number 9 in the ones place.

'And' represents the decimal in a number. ('.')

'Forty-Two Hundredths" is 0.42.

So, "nine and forty-two hundredths" would be 9.42.

Hope this helps.

What is the scale factor:
250/686
25/49
5/7
125/343

What is the scale factor:250/68625/495/7125/343

Answers

Answer:

Solution given:

scale factor=V/v=250/686 or 125/343

Answer:

250 and 686 bye

Step-by-step explanation:

done ✔ ⌛ ⏳ ✔ ⌛ ⏳ ✔

I'LL GIVE BRAINLIEST !!! FASTER

please answer that 2 QUESTIONS please provide the explaination thankyouu​

I'LL GIVE BRAINLIEST !!! FASTER please answer that 2 QUESTIONS please provide the explaination thankyouu

Answers

Answer:

9 (a)

x=50

y=75

(b)

(i)

y=105

(ii)

y=145

Step-by-step explanation:

The explanation is in the picture!

I'LL GIVE BRAINLIEST !!! FASTER please answer that 2 QUESTIONS please provide the explaination thankyouu

Can I have some help please.

Answers

Answer:

with?

Step-by-step explanation:

...............................................

AABC has vertices at A(12, 8), B(4,8), and C(4, 14).


AXYZ has vertices at X(6, 6), Y(4, 12), and Z(10, 14).


AMNO has vertices at M(4. 16), N(4.8), and O(-2.8).


AJKL has vertices at J(14, -2), K(12, 2), and L(20, 4).


are congruent. A


is a single rigid transformation that maps the two congruent triangles.


Triangle ABC and triangle XYZ


Triangle ABC and triangle MNO


Triangle JKL and triangle ABC


Triangle MNO and triangle XYZ

Answers

Answer:

Triangle ABC and triangle MNO are congruent. A Rotation is a single rigid transformation that maps the two congruent triangles.

Step-by-step explanation:

ΔABC has vertices at A(12, 8), B(4,8), and C(4, 14).

length of AB = √[(12-4)² + (8-8)²] = 8length of AC = √[(12-4)² + (8-14)²] = 10length of CB = √[(4-4)² + (8-14)²] = 6

ΔMNO has vertices at M(4, 16), N(4,8), and O(-2,8).

length of MN = √[(4-4)² + (16-8)²] = 8 length of MO = √[(4+2)² + (16-8)²] = 10length of NO = √[(4+2)² + (8-8)²] = 6

Therefore:

AB ≅ MNAC ≅ MOCB ≅ NO

and ΔABC ≅ ΔMNO by SSS postulate.

In the picture attached, both triangles are shown. It can be seen that counterclockwise rotation of ΔABC around vertex B would map ΔABC into the ΔMNO.

AABC has vertices at A(12, 8), B(4,8), and C(4, 14).AXYZ has vertices at X(6, 6), Y(4, 12), and Z(10,

What is the domain? I need help on this problem

What is the domain? I need help on this problem

Answers

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

How to determine the domain of the function

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Give an example for an adverse selection problem. Discuss the
problem and possible solutions.
Give an example for a moral hazard problem. Discuss the problem
and possible solutions.

Answers

An example of an adverse selection problem is in the insurance industry. Suppose an insurance company offers health insurance policies without thoroughly assessing the health condition of individuals.

In this case, individuals with pre-existing medical conditions or high-risk behaviors are more likely to purchase insurance compared to healthy individuals. This creates adverse selection because the insurance company ends up covering a disproportionate number of high-risk individuals, which can lead to increased costs and potential financial losses for the insurer.

Possible solutions to the adverse selection problem in insurance include:

Underwriting and Risk Assessment: Insurance companies can implement stricter underwriting processes and assess the health risks of individuals before providing coverage. By gathering more information about the insured individuals' health conditions and behaviors, the insurance company can more accurately price their policies and mitigate adverse selection.

Risk Pooling: Creating larger risk pools by attracting a diverse group of individuals can help balance the risk distribution. By having a mix of healthy and high-risk individuals, the impact of adverse selection can be reduced, and the costs can be spread more evenly.

Moral Hazard Problem:

An example of a moral hazard problem can be found in the financial sector. Consider a scenario where a bank lends money to a borrower to start a business. After receiving the funds, the borrower may engage in risky investments or mismanage the funds, knowing that they are not fully liable for the loan repayment if the business fails. This creates a moral hazard problem because the borrower has an incentive to take on greater risks since they are shielded from the full consequences of their actions.

Possible solutions to the moral hazard problem in lending include:

Risk-Based Pricing: Implementing risk-based pricing can align the interests of borrowers and lenders. By charging higher interest rates or requiring collateral for riskier loans, lenders can account for the potential moral hazard and discourage borrowers from taking excessive risks.

Monitoring and Contractual Agreements: Lenders can monitor borrowers' activities and set contractual agreements that impose penalties or restrictions on certain behaviors. Regular reporting and performance evaluation can help mitigate the moral hazard problem by holding borrowers accountable for their actions.

Incentives and Alignment: Aligning the interests of borrowers and lenders through performance-based incentives can help mitigate moral hazard. For example, structuring loan agreements with profit-sharing arrangements or tying loan repayment terms to the success of the business can motivate borrowers to act responsibly and reduce the likelihood of moral hazard.

It's important to note that each situation may require a tailored approach to address adverse selection or moral hazard effectively. The specific solutions will depend on the industry, context, and stakeholders involved.

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In the absence of additional information you assume that every person is equally likely to leave the elevator on any floor. What is the probability that on each floor at most 1 person leaves the elevator

Answers

The probability of at most 1 person leaving the elevator on each floor when assuming that every person is equally likely to leave the elevator on any floor depends on the number of floors in the building and can be calculated using the binomial distribution formula.

Assuming that every person is equally likely to leave the elevator on any floor, the probability that on each floor at most 1 person leaves the elevator can be calculated using the binomial distribution.

Let's say there are n floors in the building. The probability of at most 1 person leaving the elevator on each floor is the probability that 0 or 1 person leaves the elevator on each floor. This can be calculated as follows:

P(at most 1 person leaves the elevator on each floor) = P(0 people leave on floor 1) x P(0 or 1 people leave on floor 2) x P(0 or 1 people leave on floor 3) x ... x P(0 or 1 people leave on floor n)

Now, since we are assuming that every person is equally likely to leave the elevator on any floor, the probability of 0 people leaving the elevator on any floor is (n-1)/n and the probability of 1 person leaving the elevator on any floor is 1/n. Therefore, we can calculate the probability of at most 1 person leaving the elevator on each floor as:

P(at most 1 person leaves the elevator on each floor) = (n-1)/n * (1/n + (n-1)/n)^(n-1)

Simplifying this expression, we get:

P(at most 1 person leaves the elevator on each floor) = (n-1)/n * (2/n)^(n-1)

For example, if there are 5 floors in the building, the probability of at most 1 person leaving the elevator on each floor is:

P(at most 1 person leaves the elevator on each floor) = 4/5 * (2/5)^4
P(at most 1 person leaves the elevator on each floor) = 0.08192

Therefore, the probability of at most 1 person leaving the elevator on each floor when assuming that every person is equally likely to leave the elevator on any floor depends on the number of floors in the building and can be calculated using the binomial distribution formula.

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the 2010 general survey asked 1500 u.s. residents: 'do you think the use of marijuana should be made legal or not? 60% (that is, 0.60(1500)

Answers

According to the survey, 60% of the respondents (or 0.60(1500)) believed that marijuana should be made legal.

The 2010 general survey asked 1500 U.S. residents whether they think the use of marijuana should be made legal or not. According to the survey, 60% of the respondents (or 0.60(1500)) believed that marijuana should be made legal.

Number of respondents: 1500Percentage of respondents in favor of legalizing marijuana: 60%Calculation: 0.60(1500) = 900Number of respondents in favor of legalizing marijuana: 900

The 2010 general survey asked 1500 U.S. residents whether they think the use of marijuana should be made legal or not.

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What is the ratio of protonated/deprotonated acetic acid at ph 1.8, 5.8, and 10.8?

Answers

The ratio of protonated/deprotonated acetic acid at the given pH is:

pH 1.8: 1000:1, pH 5.8: 1:10, pH 10.8: 1:1000000

What is acetic acid?Acetic acid, also known as ethanoic acid, is a colorless liquid with a strong, vinegar-like odor. It is referred to as glacial acetic acid when it is pure (100% acetic acid). Acetic acid is a byproduct of fermentation that gives vinegar its distinctive aroma. Vinegar contains approximately 4-6% acetic acid in water. More concentrated solutions are available in laboratories, and glacial acetic acid is pure acetic acid containing only traces of water. Human Reactions: Acetic acid, in vapor form, is a severe irritant to the eyes, mucous membranes, upper respiratory tract, and skin. When acetic acid solutions of 80% or higher come into contact with the skin or eyes, they can be corrosive, causing severe burns to any exposed tissue.The protonated/deprotonated acetic acid pH 1.8, 5.8, and 10.8 ratios are 1000:1, 1:10, and 1:1000000, respectively.

Therefore, the ratio of protonated/deprotonated acetic acid at the given pH is:

pH 1.8: 1000:1, pH 5.8: 1:10, pH 10.8: 1:1000000

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What is the domain of the relation below? A. {-1,0, 1, 3} B. {-2,0, 1, 3) C. -2,-1,0, 1, 2, 3} D. {0, 1, 2, 3)​

Answers

Answer:

C

Step-by-step explanation:

Solve the system of linear equations using
substitution. Y=x-3
Y=8x-31

Answers

Answer:

x=4 y=1 or (4,1)

Step-by-step explanation:

Combined Variation:

The safe load for a horizontal beam supported at both ends varies
jointly as the width and the square of its depth and inversely as
the distance between the supports. If a 4 cm by 6 cm beam,
10 m long supports 5 kg when standing on the edge, what is the
safe load if the beam is turned on its side?

Answers

Answer:

The formula would be

wd^2c/l = p

(2*1^2c)/4 = 10

(2*1c)/4 = 10

2c/4 = 10

c = 20

3*2^2*20/6 = p

3*4*20/6 = p

240 pounds

hope it help :)

Step-by-step explanation:

The safe load if the beam is turned on its side will be 240 pounds.

What is a load?

A burden or pressure source that is carried by someone or something. Construction loads are defined as the weights placed on an existing or temporary structure both during and after the construction process.

Given that the safe load for a horizontal beam supported at both ends varies jointly with the width and the square of its depth and inversely with the distance between the supports. If a 4 cm by 6 cm beam, 10 m long supports 5 kg when standing on the edge,

The load will be calculated by using the formula below:-

wd²c/l = p

(2 x( 1 ) ²c)/4 = 10

(2x 1c)/4 = 10

2c/4 = 10

c = 20

3 x ( 2 )²x ( 20/6 ) = p

3 x 4x ( 20/6 ) = p

p = 240 pounds

Therefore, the safe load if the beam is turned on its side will be 240 pounds.

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Write the equation then solve for x:

1 The product of two and a number is twenty
2. Twice a number and six is twenty-four
3. Twice the sum of a number and two is ten

Answers

2x=20 (x=10)
2x+6=24 (x=9)
2(x+2)=10 (x=3)

Rob made a scale drawing of a summer camp. He used the scale 17 centimeters : 6 meters.
The actual length of the sand volleyball court is 18 meters. How long is the volleyball court in
the drawing?

Answers

Answer:

the volleyball court would be 51 centimeters

Answer:

51 centimeters.

Step-by-step explanation:

My bad if I got it wrong but I'm pretty sure thats the answer

Verizon charges $200 to start up a cell phone plan. then there is a $50 charge each month. what is the total cost for .x months

Answers

Answer:

200 + 50x

Step-by-step explanation:

depending on what x is, you multiply x by 50 and add 200, since 200 is the start up fee and the constant. the 50 dollars per month is a variable, since the more months you own the plan, the more money it would cost.

What is a eqation for the line that passes through (2,5) and (6,7).

Answers

Use the slope formula, (y2-y1)/(x2-x1) in this occasion we input the coordinates into the formula like this (7-5)/(6-2) which equals 2/4 simplified 1/2 and that’s your slope, in the case the equation and your answer, y=1/2x

Terrance ran 5/7 of a mile in 1/4 hour. How far would Terrance run in 1 hour ?

Answers

Answer:

Terrance will run 2 6/7  in 1 hour

Step-by-step explanation:

5/7 x 4= 2 6/7

Answer:

4 miles and \(\frac{24}{28}\)

Step-by-step explanation:

so first you would Try and find common denominators the way i usually do that is by multiplying the denominators together so in this case it would be 7 times 4 which would give u 28 as the common denominator then u would do the denominators of 7 and 4 by the numberators of the other fraction so then the 2 fractions you should have are \(\frac{20}{28}\) and \(\frac{7}{28\\}\) so then you would do \(\frac{20}{28}\) times 4 because 4/4 is equal to 1 hour so u would have to run 4 more times which would give u \(\frac{80}{28}\) turn that into a mixed number to get \(4\frac{24}{28}\)  so Terrance ran 4 miles and  \(\frac{24}{28}\)

Hope this helps!

(o゚v゚)ノ

11. FINANCIAL LITERACY The surf shop has a weekly overhead of $2300. b. How many skimboards and longboards must the shop sell each week to make a profit a. Write an inequality to represent the number of skimboards and longboards the shop sells each week to make a profit.
Skimboard costs 115 longboard costs 685

Answers

It would be 678 because if is the long board

Which equation has infinitely many solutions?
A.

B.

C.

D.

Answers

You didn't include the equations.

Answer:

b.

give me a brainlist

Step-by-step explanation:

A circular bike race track 5 meters wide has a inside diameter of 20 meters. What is the area of the track rounded to the nearest sauare meter?

Answers

The area of the track is approximately 706.5 square meters.

To find the diameter of the outside of the track, we add twice the width of the track to the inside diameter:

Outside diameter = Inside diameter + 2 × width

Outside diameter = 20 + 2 × 5

Outside diameter = 30 meters

Now that we know the outside diameter, we can find the area of the track. The area of a circle is given by the formula:

Area = π × (diameter/2)²

where π (pi) is a mathematical constant approximately equal to 3.14.

In our case, the diameter of the outside of the track is 30 meters, so the radius is 15 meters. We can now substitute these values into the formula for the area:

Area = π × (30/2)²

Area = π × 15²

Area ≈ 706.5 square meters.

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1/2 ln (x+3) - ln x=0

Answers

Answer:

x ≈ 2.30277563

Step-by-step explanation:

If 1 kg = 2.2 pounds, convert 77 kg into pounds

Answers

Answer:

169.4 lbs

Step-by-step explanation:

77 * 2.2 = 169.4

2/3y + 3/4 = 8/9

help

Answers

Answer:

y = 5/24

Step-by-step explanation:

2/3 = 24/36

3/4 = 27/36

8/9 = 32/36

32-27 = 5

5/36 / 2/3 = 15/72 = 5/24

Answer:y=5/13

Step-by-step explanation:

8/9-3/4 is 5/36

divide by 2/3 is

Leo estimates that a package weighs 24 pounds. When he goes to the post office to weigh it, he finds out that it actually weighs 20 pounds. What is the percent error in Leo's estimate?

Answers

Answer:

20%

Step-by-step explanation:

Percent Error =  

Vobserved - Vtrue

Vtrue

=  

24 - 20

20

=  

4

20

=  20%

Answer:

20 Percent Increase

Step-by-step explanation:

Trust Me

First correct answer gets brainliest

First correct answer gets brainliest

Answers

Answer:

240

Step-by-step explanation:

The rectangles area is 200 plus what the Triangles are which is 40. A=bxh/2

Answer:

240

Step-by-step explanation:

200 + 40

You can see the line in the middle of the triangles is perpendicular. Thus, below would be as well.

Joey started at point A and walked 20 m
south, 40 m west and a further 50 m south
to arrive at point B. Lana started at point A
and walked in a straight line to point B.
How much further did Joey walk than Lana?
Give your answer in metres (m) to 1 d.p.
A
✓ Scroll down

Joey started at point A and walked 20 msouth, 40 m west and a further 50 m southto arrive at point B.

Answers

Joey walked 110 meters from  A to B and Lana started at point A and walked in a straight line to point B which is a distance of about 80.6 meters, obtained using Pythagorean Theorem, therefore;

Joey walked about 29.4 meters further than Lana.

What is the Pythagorean Theorem?

Pythagorean Theorem states that the square of the length of the hypotenuse side of a right triangle is the sum of the squares of the lengths of the legs of the right triangle.

The distance Joey walked = 20 m + 40 m + 50 m = 110 m

The distance Lana walked can be found as follows;

The similar triangles formed by the path Lana walked and the path Joey walked, indicates that the ratio of the base lengths of the right triangles are;

50/20 = 5/2

The base length of the larger right triangle 5/(2 + 5) × 40 m = 200/7 m

Base length of the smaller right triangle = 2/(5 + 2) × 40 m = 80/7 m

The length of the path Lana walked, l, found using Pythagorean Theorem is therefore;

l = √((20 m)² + ((80/7) m)²) + √((50 m)² + ((200/7) m)²) ≈ 10·√(65) m ≈ 80.6 m

The distance further Joey walked = 110 m - 80.6 m = 29.4 m

Joey

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