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?
Expand.
Your answer should be a polynomial in standard form.
(3b-4)(b+2)=
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
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.
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
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
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
Answer:
9 (a)
x=50
y=75
(b)
(i)
y=105
(ii)
y=145
Step-by-step explanation:
The explanation is in the picture!
Can I have some help please.
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
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] = 6ΔMNO 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] = 6Therefore:
AB ≅ MNAC ≅ MOCB ≅ NOand 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.
What is the domain? I need help on this problem
The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x ≥ -6
How to determine the domain of the functionFrom 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.
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
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)
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: 900The 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?
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: 1:1000000What 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: 1:1000000Know more about acetic acid here:
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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)
Answer:
C
Step-by-step explanation:
Solve the system of linear equations using
substitution. Y=x-3
Y=8x-31
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?
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
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?
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
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).
Terrance ran 5/7 of a mile in 1/4 hour. How far would Terrance run in 1 hour ?
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
Which equation has infinitely many solutions?
A.
B.
C.
D.
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?
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
Answer:
x ≈ 2.30277563
Step-by-step explanation:
If 1 kg = 2.2 pounds, convert 77 kg into pounds
Answer:
169.4 lbs
Step-by-step explanation:
77 * 2.2 = 169.4
2/3y + 3/4 = 8/9
help
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?
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
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 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 mThe distance further Joey walked = 110 m - 80.6 m = 29.4 m
Joey
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