When dividing by a fraction flip the second one over and multiply:
2/3 / 5/6 = 2/3 x 6/5 = (2 x6) / (3x5) = 12/15
12/15 reduces to 4/5
The answer is 4/5
2/3 divided by 5/6 in simplest form is equal to 4/5.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. In this case, we have:
(2/3) ÷ (5/6)
To find the reciprocal of 5/6, we flip the fraction, which gives us 6/5.
Now, we can multiply the first fraction by the reciprocal:
(2/3) x (6/5)
Multiplying the numerators and denominators, we get:
(2 x 6) / (3 x 5)
12/15
The fraction 12/15 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
(12 ÷ 3) / (15 ÷ 3)
4/5
Therefore, 2/3 divided by 5/6 in simplest form is equal to 4/5.
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which statement about the points (2, 5) and (-2, 5) is true plot the points on a coordinate plane to help you answer the question
Answer:
A, (2,5) and (-2,5) are reflections of each other on the x axis
A bread recipe calls for a flour to water ratio of 10 to 7. If 600 grams of flour is used in this recipe, how many grams of water need to be added. Use the number line below to illustrated how you found your answer.
Answer:
420 Grams of water will be needed.
Step-by-step explanation:
Sorry I don't see a number line but I'll try to explain ; Because the ratio of flour to water is 10 to 7 and there's a total of 600 grams, you divide the 600 by 10 which then gets you 60 (this will be your constant or whatever you call it i forgot). You then multiply 7 by 60 and you will get an answer of 420 grams of water!
I hope this helped!! :DD
There are 3,812 people seated in a concert hall. There are 48 seats in a row. How many rows of seats are occupied?
Answer:
79 rows
Step-by-step explanation:
I subtracted down
A Standard number is
tossed find each
Probability.
P (4 or less than 6)
the probability of rolling 4 or a number less than 6 is P = 5/6
How to find the probability?The standard number cube has the outcomes {1, 2, 3, 4, 5, 6}
We want to find the probability of rolling 4 or a number less than 6. (4 is a number less than 6).
The outcomes that meet that condition are:
{1, 2, 3, 4, 5}
So 5 out of 6 outcomes meet the condition, then the probability is:
P(4 or less than 6) = 5/6
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What is the difference between (2.4x10^8) and (9.2x10^6)
Answer:
2.308×10^8
Step-by-step explanation:
Your calculator can tell you what the difference is.
2.4×10^8 -9.2×10^6 = (2.4 -0.092)×10^8 = 2.308×10^8
_____
Additional comment
If this is a problem where you're expected to round the answer to an appropriate number of significant figures, you will notice the largest contributor has a resolution of 0.1×10^8. That will be the resolution required in the answer: 2.3×10^8.
Cousteau is building a cubed cage for a parrot at his local zoo. Since the the cage's side length is 12 feet, its volume will be 12³ cubic feet. Can you help Cousteau write out 12³ in expanded form?
The expanded form of 12³ is given as follows:
12³ = 12 x 12 x 12 = 1728 cubic feet.
How to obtain the volume of a cube?The volume of a cube of side length a is given by the cube of the side length, as follows:
V(a) = a³.
This expression is equivalent to multiplying the side length of the object by itself twice, as follows:
V(a) = a x a x a.
The side length for this problem is given as follows:
a = 12 feet.
Hence the volume of the cube is given as follows:
V = 12³ = 1728 feet³.
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Who was in command of the Texan forces at the Alamo
Travis' famous letter, addressed to "The People of Texas and All Americans in the World," in which he passionately appealed for reinforcements and vowed to "never surrender or retreat," has become a symbol of the fortitude and sacrifice displayed by the Texan defenders at the Alamo.
The commander of the Texan forces at the Alamo during the famous battle in 1836 was Colonel William B. Travis. Travis, a lawyer and soldier, was chosen as the leader of the Texan garrison at the Alamo, a former mission turned fortress in San Antonio, Texas. He assumed command of the Texan forces in early 1836 and played a crucial role in the defense of the Alamo against the Mexican army led by General Santa Anna.
Travis and his men, along with notable figures such as James Bowie and Davy Crockett, bravely defended the Alamo against overwhelming odds for thirteen days. Despite their courage and determination, the Texan defenders were ultimately overrun by the Mexican forces on March 6, 1836, and suffered heavy casualties, including the deaths of Travis, Bowie, and Crockett.
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Segment AB is all points on the line between the endpoints A and B.
False
True
Solve for x to make A||B
Answer: x = 50
Step-by-step explanation:
In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.
Whats faster?
10 inches per minute or 1 cm per second?
Answer:
10 inches per minutes
Step-by-step explanation:
Inches are longer than Centimeters
Hope this helped, Have a Great Day!!
Answer:
1cm
Explanation:
I need help! 25 brainly points!
The surface areas for each figures are:
220 ft² 410 cm²596 cm²360 cm²Surface area of cylinders include: 132π mm²22π ft²396π square inches.How to calculate surface areas?1. The surface area of the cuboid is:
Top and bottom: 2(10 ft x 4 ft) = 80 ft²
Front and back: 2(10 ft x 5 ft) = 100 ft²
Sides: 2(4 ft x 5 ft) = 40 ft²
Total surface area = 80 + 100 + 40 = 220 ft²
2. The surface area of the cuboid is:
Top and bottom: 2(18 cm x 5 cm) = 180 cm²
Front and back: 2(18 cm x 5 cm) = 180 cm²
Sides: 2(5 cm x 5 cm) = 50 cm²
Total surface area = 180 + 180 + 50 = 410 cm²
3. The surface area of the prism is:
Top and bottom: 2(5 cm x 14 cm) = 140 cm²
Front and back: 2(5 cm x 12 cm) = 120 cm²
Sides: 2(12 cm x 14 cm) = 336 cm²
Total surface area = 140 + 120 + 336 = 596 cm²
4. The surface area of the stacked cuboids is:
Top and bottom of first cuboid: 2(6 cm x 7 cm) = 84 cm²
Front and back of first cuboid: 2(6 cm x 2 cm) = 12 cm²
Sides of first cuboid: 2(7 cm x 2 cm) = 28 cm²
Front and back of second cuboid: 2(7 cm x 2 cm) = 28 cm²
Sides of second cuboid: 2(2 cm x 4 cm) = 8 cm²
Front and back of third cuboid: 2(2 cm x 10 cm) = 40 cm²
Sides of third cuboid: 2(10 cm x 8 cm) = 160 cm²
Total surface area = 84 + 12 + 28 + 28 + 8 + 40 + 160 = 360 cm²
5. The surface area of the cylinder is:
Top and bottom: 2π(6 mm)² = 72π mm²
Side: 2π(6 mm)(5 mm) = 60π mm²
Total surface area = 72π + 60π = 132π mm²
6. The surface area of the cylinder is:
Top and bottom: 2π(1 ft)² = 2π ft²
Side: 2π(1 ft)(10 ft) = 20π ft²
Total surface area = 2π + 20π = 22π ft²
7. The surface area of the cylinder stacked on a cube is:
Top and bottom of cylinder: 2π(5 m)² = 50π m²
Side of cylinder: 2π(5 m)(8 m) = 80π m²
Surface area of cube: 6(10 m x 13 m) = 780 m²
Total surface area = 50π + 80π + 780 = (130π + 780) m²
8. The surface area of the cylinder is:
Top and bottom: 2π(9 in)² = 162π in²
Side: 2π(9 in)(4 in) = 72π in²
Therefore, the total surface area of the cylinder is:
2(162π in²) + 72π in² = 396π in²
So the surface area of the cylinder is 396π square inches.
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Image transcribed:
Find the surface area of each figure.
10 ft
18 cm
5 cm
4 ft
5 ft
3.
4.
6 cm
7 cm
2 cm
5 cm
12 cm
14 cm
4 cm
10 cm
8 cm
Find the surface area of each cylinder. Leave your answer in terms of π.
5.
6 mm
6.
1 ft
5 mm
10 ft
7.
5 m
8.
4 in.
8 m
10 m
9 in.
13 m
11 m
247
Journal and Practice Workbook
Geometry
Morningstar tracks the total return for a large number of mutual funds. The following table shows the total return and the number of funds for four categories of mutual funds (Morningstar Funds500, 2008).\begin{matrix} \text{Type of Fund} & \text{Number of Funds} & \text{Total Return (\\\%)}\\ \text{Domestic Equity} & \text{9191} & \text{4.65}\\ \text{International Equity} & \text{2621} & \text{18.15}\\ \text{Specialty Stock} & \text{1419} & \text{11.36}\\ \text{Hybrid} & \text{2900} & \text{6.75}\\ \end{matrix}Type of FundDomestic EquityInternational EquitySpecialty StockHybridNumber of Funds9191262114192900Total Return (%)4.6518.1511.366.75a. Using the number of funds as weights, compute the weighted average total return for the mutual funds covered by Morningstar.b. Is there any difficulty associated with using the "number of funds" as the weights in computing the weighted average total return for Morningstar in part (a)? Discuss. What else might be used for weights?c. Suppose you had invested $10,000 in mutual funds at the beginning of 2007 and diversified the investment by placing$2000 in Domestic Equity funds, $4000 in International Equity funds,$3000 in Specialty Stock funds, and $1000 in Hybrid funds. What is the expected return on the portfolio?
The weighted average total return for the mutual funds covered by Morningstar is 9.20%, calculated by taking the sum of the products of the total return and the number of funds for each of the four categories.
a. The weighted average total return for the mutual funds covered by Morningstar is 9.20%.
This is calculated by taking the sum of the products of the total return and the number of funds for each of the four categories:
(4.65 * 9191) + (18.15 * 2621) + (11.36 * 1419) + (6.75 * 2900) / (9191 + 2621 + 1419 + 2900) = 9.20%
b. Yes, there is a difficulty associated with using the number of funds as the weights in computing the weighted average total return for Morningstar. This is because the number of mutual funds in each category can fluctuate over time, and thus, the weights used to calculate the average total return may not accurately reflect the true performance of the mutual funds.
An alternative to using the number of funds as weights would be to use the dollar amount invested in each type of mutual fund as the weight. This would give a more accurate representation of the performance of the mutual funds.
c. The expected return on the portfolio is 9.63%.
This is calculated by taking the sum of the products of the total return and the amount invested in each of the four categories:
(4.65 * 2000) + (18.15 * 4000) + (11.36 * 3000) + (6.75 * 1000) / (2000 + 4000 + 3000 + 1000) = 9.63%
The weighted average total return for the mutual funds covered by Morningstar is 9.20%, calculated by taking the sum of the products of the total return and the number of funds for each of the four categories. However, using the number of funds as weights may not accurately reflect the true performance of the mutual funds, and an alternative would be to use the dollar amount invested in each type of mutual fund as the weight. The expected return on the portfolio is 9.63%, calculated by taking the sum of the products of the total return and the amount invested in each of the four categories.
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Complete the statement for triangle HJK with medians (HN), (JL), and (KM), and centroid P. PN = ____ HN *
1 point
1/2
2
1/3
2/3
Answer:
Step-by-step explanation:
PN = \(\frac{1}{3}\) HN
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please help this is very important
Answer:
C
Step-by-step explanation:
Answer:
Area of a rectangle=LxW
There's 2 rec's there
For the first
A= 1/3.s
For the second
L=12
W= 1/3
A = 1/3 . ( 12)
Total Area = 1/3.s + 1/3(12)
Now This can also be simplified by factorization
Total Area = 1/3(s+12)
We factored out 1/3 from both sides.
The question asked to select ALL THE EXPRESSION That represents the total area.
SO OPTION C and E
Mary's employment has been terminated and her employer has issued her a ROE. What purpose does the ROE serve?
Answer:
An ROE, or Record of Employment, is a form that employers fill out for their employees who receive insurable earnings. This form provides proof of work and allows employees to collect unemployment insurance if they experience an interruption of earnings. The purpose of an ROE is to inform Service Canada whether the employee is eligible to receive Employment Insurance (EI).
Step-by-step explanation:
The ROE (Record of Employment) serves as an important document that provides information about an individual's employment history and earnings when their employment is terminated. The ROE contains details such as the reason for termination, the dates of employment, and the insurable earnings during the period of employment. This information is used by the government to determine eligibility and calculate the amount of EI benefits an individual may receive. The ROE acts as proof of employment and earnings for individuals who may need to demonstrate their work history and income when applying for loans, mortgages, or other financial services. It is often required by banks, financial institutions, or other organizations to verify employment and income information. The information on the ROE is also used for tax purposes. It helps individuals accurately report their employment income and related deductions when filing their annual tax returns. Employers submit copies of the ROE to the tax authorities to ensure accurate tax reporting. The ROE serves as an official record of an individual's employment history. It documents the start and end dates of employment, the reason for termination, and other important details that may be useful for future reference or potential future employers.
THIS IS 7TH GRADE MATH SO ITS EASY
Answer:
b
Step-by-step explanation:
PLS help fast this is the last day for my test solve the system of linear equations. check your solution. 3y+4y=-10 y=-3/4x - 5/2
This equation has infinitely many solutions.
What is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Here, we have
Given: 3x+4y = -10...(1),
y = -3/4x - 5/2....(2)
We solve this linear equation and we get
We multiply equation (2) by 4 and we get
4y + 3x = -5(2)
4y + 3x = -10
Hence, this equation has infinitely many solutions.
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pls help pls pls hii lol bye hahaha math fractions lol. videostar
Which set of values could be the side length of a 30 60 90 triangle? A. {5,5v3,10}
Therefore, the answer is A. {5, 5√3, 10}.
The set of values {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.
In a 30-60-90 triangle, the sides are in a specific ratio. The ratio is 1 : √3 : 2, where the shortest side (opposite the 30-degree angle) has length x, the side opposite the 60-degree angle has length x√3, and the hypotenuse (opposite the 90-degree angle) has length 2x.
Let's check if the given set of values satisfies this ratio:
If x= 5, then the side opposite the 60-degree angle should be 5√3, and the hypotenuse should be 10. These values match the ratio, so the set {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.
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Which of the following does not have a difference of 4?
9-5
-5-(-9)
-4-(-8)
-8-(-4)
A random sample of 144 observations has a mean of 20. The population standard deviation is known to equal 4.8. The 95.44% confidence interval for the population mean is
Answer:
The population mean is 19.2 to 20.8.
Step-by-step explanation:
The formula of Confidence interval is
CI = mean ± z*\(\frac{s}{\sqrt{n} }\)
where
n = sample size
s = Population standard deviation.
mean = Sample mean
z(α/2) = Two tailed z-value for significance level of .
Given : Confidence level = 95.44% = 0.9544
Significance level = α = 1-0.9544 = 0.0456
Now we Use standard z-value table
z-value for Significance level of 0.0456 :
z(α/2) = z(0.0228) = 1.99 = 2(approximately)
And we are given
n=144
s = 4.8
mean = 20
so the required Confidence interval is
CI = 20± 2*\(\frac{4.8}{\sqrt{144} }\)
= 20 ± 2*\(\frac{4.8}{12}\)
= 20 ± (0.8)
= (20-0.8, 20+0.8 )
= (19.2 , 20.8)
Therefore the 95.44% CI value for the population mean of 20 is 19.2 to 20.8.
Question 2: Find the equation of the line that has an x intercept of 2 and a y intercept of -6
Answer:
\(y = 3x - 6\)
Step-by-step explanation:
Hello!
With an x - intercept of 2, the coordinate is (2, 0). With a y - intercept of -6, the coordinate is (0, -6).
We have to find the equation of the line that goes through these points.
The equation of a line is written in slope-intercept format: \(y = mx + b\)
y = ordinate, y - valuem = slope, rate of changex = abscissa, x - valueb = y-interceptSlopeFirst let's find the slope using the slope formula: \(\frac{y_2 - y_1}{x_2 - x_1}\). Remember that a coordinate is written in (x, y) format.
\(\frac{-6 - 0}{0 - 2}\)\(\frac{-6}{-2}\)\(3\)So, we have the slope and the y - intercept. We can plug those into the equation.
\(y = mx + b\)\(y = 3x - 6\)The equation of the line is \(y = 3x - 6\)
Mr. Henry planted 15 mango trees in his garden this morning. That is 25% of
the trees he is going to plant. How many mango trees is he going to plant in
all
13/39 in reduced form
Answer:
1/3
Step-by-step explanation:
To simplify, you have to divide both of the numbers by the largest number that divides into both of them equally
In this instance, it's 13
13/13 = 1
39/13 = 3
Thus giving us 1/3
A
of a number is a value that, when multiplied by itself,
gives the number.
Answer:
In mathematics, we call multiplying a number by itself “squaring” the number. We call the result of squaring a whole number a square or a perfect square. A perfect square is any number that can be written as a whole number raised to the power of 2. For example, 9 is a perfect square.
Step-by-step explanation:
Jake is comparing the prices of two mattress cleaning companies. Company A charges $30 per mattress and an additional $13 as service charges. Company B charges $28 per mattress and an additional $15 as service charges.
Part A: Write equations to represent Company A's and Company B's total mattress cleaning charges for a certain number of mattresses. Define the variable used in the equations. (1 point)
Part B: Which company would charge less for cleaning 4 mattresses? Justify your answer. (1 point)
Part C: How much money is saved by using the services of Company B instead of Company A to clean 7 mattresses?
The equations are y = 30x + 13 and y = 28x + 15. And the charge less for cleaning 4 mattresses is $127 given by company B. Then the amount of money saved to clean 7 mattresses is $22.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let 'x' be the number of mattresses and 'y' be the total cost. Then the equations are given as,
Company A: y = 30x + 13
Company B: y = 28x + 15
The amount for x = 4 is given as,
Company A: y = 30 (4) + 13 = $133
Company B: y = 28 (4) + 15 = $127
The amount for x = 4 is given as,
Company A: y = 30 (7) + 13 = $223
Company B: y = 28 (7) + 15 = $211
Then the amount of money saved is given as,
⇒ $233 - $211
⇒ $22
The amount of money saved to clean 7 mattresses is $22.
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Mikayla borrowed $ 40 from her mom . The function y = - 8x + 401 represents her outstanding balance y after x weekly payments, find the zero of the function.
Answer:
\(\frac{401}{8}\)
Step-by-step explanation:
\(\sf{y\:can\:also\:be\:refered\:to\:as\:f(x)}\)
\(\sf{Zeros\: are\: also\: called\: roots.}\)
The roots (zeros) are the \(x\) values where the graph intersects the \(x\)-axis. To find the roots (zeros), replace \(y\) with 0 and solve for \(x\).
\(y = - 8x + 401\\\\0 = - 8x + 401\\\)
\(-8x+401=0\\\\-8x+401-401=0-401\\\\-8x=-401\\\\\frac{-8x}{-8}=\frac{-401}{-8}\\\\x=\frac{401}{8}\)
\(\sf{Therefore,\: the\: zero\: of\: this\: function\: is\: \frac{401}{8}\)
Find two square numbers that total 45
4) Which graph represents a function?
Answer:
C
Step-by-step explanation:
The other graphs do not pass the vertical line test (if you draw a vertical line through the line graphed, it should pass through once), but graph c does pass the test.
absolute value evaluate problem
|-4| =?
SHOW WORK:
The expression |-4| has a value of 4 when evaluated
How to evaluate the absolute expressionFrom the question, we have the following parameters that can be used in our computation:
|-4|
The above expression is an absolute expression
So, the solution is the positive value of the expression in bracket
Evaluate the expressions in the brackets
So, we have the following representation
|-4| = 4
Hence, the expression has a value of 4
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