1- It was 15:43 in Paris when the plane arrived.
2- It will arrive in the airport at 03:12.
3- It was 10:39 AM when I arrived in Cebu City.
Time calculation1. Given that the flight where you are, Flight 122, departed from Manila when it was 4:13 PM it arrived in Paris, France, and this flight lasted 30 hours and 30 minutes, to determine what time it was in Paris upon the Night's arrival there the following calculation must be performed:
Paris: GMT + 1Manila: GMT + 81 - 8 = -74:13 PM = 4:13 PM16:13 - 7 = 9:139:13 + 30:30 = X39:43 = X24 + 15:43 = XTherefore, it was 15:43 in Paris when the plane arrived.
2. Given that your father's flight, Flight 783 departed from Oslo, Norway when it is 7:12 AM there, and it will land in Bacolod-Silay Airport after a 28-hour travel, to determine what time it will arrive in the airport using the Philippine Standard Time the following calculation must be made:
Oslo: GMT + 1Philippines: GMT + 87:12 - 8 = 23:1223:12 + 24 + 4 = X23:12 + 4 = X3:12 = XTherefore, it will arrive in the airport at 03:12.
3. Given that when your family arrived at the airport, you looked at your watch and it was 5:45 am, exactly 3 hours before your next flight to Cebu City, to determine, if your next flight left on time and took exactly 114 minutes, what was the time on your watch when you arrived in Cebu City, the following calculation must be performed:
5:45 + 3:00 + (114 - 60) + 1:00 = X9:45 + 00:54 = X10:39 = XTherefore, it was 10:39 AM when I arrived in Cebu City.
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$7.99 by 16.2 ounces
Answer:
.49 if you're dividing them.
Step-by-step explanation:
8. At the fabric store, Marisela spends $9.00
on 1 1/8yards of fabric. How much does one
yard of fabric cost?
Answer:
6.55
Step-by-step explanation:
We know that 11/8 yards of fabric cost 9$
We need to first find what 1/8 yard of fabric costs
So you do 9/11 which gives the amount of 1/8 which is 0.818181812 and multiply that by 8 to find what the cost of one yard equals
2|3x-9|+5<25 help please
The triangle below is equilateral. Find the length of side x in simplest radical
form with a rational denominator.
Answer:
\(\frac{4\sqrt{3} }3}\)
Step-by-step explanation:
Since it is an equilaterla triangle, we can see the side opposite to that of side length 4 is 60 degrees. Since the other angle is a right angle (90 degrees), we can find that the other side is 30 degrees (the degrees add up to 180). We can also see that this is a 30-60-90. We can see that the side x, through the identity (you can find 30-60-90 identity online), we see that the side x is \(\frac{4}{\sqrt{3}}\). However, it is also asking us to simplify this, so we multiply the top and bottom by \(\sqrt{3}\) and get \(\frac{4}{\sqrt{3} } = \frac{4\sqrt{3} }{3}\)
Function tables are?
Answer:
a table that describes a function by displaying inputs and corresponding outputs in tabular form
Step-by-step explanation:
A software development company is voting to elect a president, a secretary, a treasurer, and three directors. If a total of 11 qualified candidates applied for these positions, in how many ways can the positions be filled?
The ways to elect the candidates from the total is 462
How to determine the ways of selection?From the question, we have
Total number of candidate, n = 11Numbers to selection, r = 6 i.e. the president, a secretary, a treasurer, and three directorsThe number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 11 and r = 6
Substitute the known values in the above equation
Total = ¹¹C₆
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 11!/5!6!
Evaluate
Total = 462
Hence, the number of ways is 462
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Find the volume of the sphere. Use 3. 14 for pi. Round your answer to the nearest thousandth. A sphere with diameter 10 inches. A. 4186. 667 cu. In. B. 523. 333 cu. In. C. 104. 667 cu. In. D. 294. 375 cu. In.
The volume of the sphere is 523.333 cu. In., and when rounded to the nearest thousandth, the answer is 523.333 cu. In.
The volume of a sphere is calculated using the formula V = (4/3)πr³, where r is the radius of the sphere. In this case, the diameter of the sphere is 10 inches, so we can calculate the radius by dividing the diameter by two. This gives us a radius of 5 inches. Plugging these values into the formula, we get V = (4/3)π(5)³ = 523.333 cu. In. Therefore, the volume of the sphere is 523.333 cu. In., and when rounded to the nearest thousandth, the answer is 523.333 cu. In.
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Gind the greatest common factor for the list of terms.
98ab^3, 84a, 140b, 112ab
Answer:
14
Step-by-step explanation:
You want the greatest common factor of the terms {98ab^3, 84a, 140b, 112ab}.
Common factorsThere are no variables that are common to all terms. 'a' and 'b' are each common to 3 of the 4 terms, but not all.
The greatest common factor of the constants cannot be larger than the smallest difference of the constants. That difference is ...
98 -84 = 112 -98 = 14
Since 14 is a divisor of all of the constants, 14 is the greatest common factor.
__
Additional comment
Factoring out the greatest common factor, we have ...
= 14{7ab³, 6a, 10b, 8ab}
WILL GIVE BRAINLIEST if you show your work
Answer:
\(\frac{x-9}{4x}\)
Step-by-step explanation:
The image below shows step-by-step on how to evaluate the expression.
Hope this help! :)
ABC bank requires a 20% down payment on all its home loans. if the house is priced at $105,000, what is the amount of the down payment required by the bank?
A) $21,000
B) $210,000
C) $14,500
D) $18,000
correct answer is A) $21,000
Answer:
A) $21,000
Step-by-step explanation:
Percentage of down payment that ABC bank requires to be paid = 20%
Price of the house = $10500
Then
Amount of down payment
that needs to be made = (20/100) * 105000
= 21000 dollars
The answer is A) $21,000
20% is 1/5
1/5 of 105,000 is 21,000
Please help with this parallelogram
! :)
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The statement which proves ABCD is a parallelogram is :
Both pairs of opposite sides are parallelAndrea uses 8.1 pints of white paint and blue paint to paint her bedroom walls.
4/5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls
Answer:
2.025 pints of blue paint
Step-by-step explanation:
4/5 = 80/100 or 80%
8.1 is 80% of 10.125
10.125 is the total pints of paint used.
If 8.1 of those pints of paint are white, then the rest of the paint must be blue.
10.125 - 8.1 = 2.025
The length of a rectangle is 7cm less than 3 times it's width. It's area is 20 square cm. Find the dimensions of the rectangle
Answer:
4 cm by 5 cm (4 x 5)
Step-by-step explanation:
The area of a rectangle with length \(l\) and width \(w\) is given by \(A=lw\). Since the length of the rectangle is 7 less than 3 times its width, we can write the length as \(3w-7\). Therefore, substitute \(l=3w-7\) into \(A=lw\):
\(A=lw,\\20=(3w-7)w\)
Distribute:
\(20=3w^2-7w\)
Subtract 20 from both sides:
\(3w^2-7w-20=0\)
Factor:
\((w-4)(3w+5)=0,\\\begin{cases}w-4=0, w=\boxed{4},\\3w+5=0, 3w=-5, w=\boxed{-\frac{5}{3}}\end{cases}\)
Since \(w=-\frac{5}{3}\) is extraneous (our dimensions cannot be negative), our answer is \(w=4\). Thus, the length must be \(20=4l, l=\frac{20}{4}=\boxed{5}\) and the dimension of the rectangle are 4 cm by 5 cm (4 x 5).
Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos were given: 10, 13, 15, 15, 17, 29 What is the average amount of likes each of her photos got? Hint: The average is your mean. 22 15 15.5 16.5
The average number of likes will be 16.5. the correct option is D.
What is a mean?Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is calculated by adding all the data points and dividing it by the total number of the data.
Given that Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos was given: 10, 13, 15, 15, 17, 29.
The average will be calculated as:-
Mean = ( 10 + 13 + 15 + 15 + 17 + 29 ) / 6
Mean = 99 / 6
Mean = 16.5
Therefore, the average number of likes will be 16.5. the correct option is D.
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Consider the equation of a circle x^{2} -2x + y^{2} - 4y - 4 = 0 if the line 2x - y + a = 0 is its diameter. then find the value of a?
Answer:
Step-by-step explanation:
Find the centre first by reoriganisation it into the form (x - cx)^2 + (y -cy)^2 = r^2
x^2 + y^2 + 6x -6y +5 = 0
(x + 3)^2 - 9 + (y - 3)^2 - 9 + 5 = 0
(x + 3)^2 + (y - 3)^2 = 13
The radius does not matter the centre is ( -3, +3)
The diameter must pass through the center so substituting into the equation for the line
2x-y+a = 0
-6 -3 + a = 0 so a = 9
The value of 'a' is 0 and this can be determined by using the standard form of the equation of a circle.
Given :
Equation of a Circle -- \(x^2-2x+y^2-4y-4=0\)
Equation of a Line -- 2x - y + a = 0
The following steps can be used in order to determine the value of 'a':
Step 1 - First make the equation of a circle in standard form.
\(x^2-2x+y^2-4y-4=0\)
\((x-1)^2-1+(y-2)^2-4-4=0\)
\((x-1)^2+(y-2)^2 = 3^2\)
Step 2 - From the above step, it can be concluded that the center of the circle is (1,2).
Step 3 - If (1,2) is the center of the circle then it also satisfies the equation of diameter (2x - y + a = 0).
2x - y + a = 0
2(1) - 2 + a = 0
a = 0
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find the smallest number which when doubled will be exactly divisible by 4, 10, 15
salesperson earns $345 for selling $2300 in merchendice find the commison rate
Answer:
The commission rate is 15%
Step-by-step explanation:
commission = commission rate x sales
where the commission rate is expressed as a decimal.
In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:
345 = commission rate x 2300
To solve for the commission rate, we can divide both sides by 2300:
commission rate = 345/2300
Simplifying this expression, we get:
commission rate = 0.15
So, the commission rate is 15%
helppppppppppp please help asked at least 50 times
Answer:
Lol help with what
Step-by-step explanation:
Answer:
what is your question sir
Step-by-step explanation:
HELP PLEASE!!!!!!!!!!!!!!!!!!!
Answer:
C [ -1 ,1 ]
.............
The arithmetic mean of the monthly salaries of two people is $4382. One person earns $3388 per month. What is the monthly salary of the other person?
we know that the mean of the salaries of 2 people = 4382
one person earns 3388 per month
so the arithmetic mean, the average is 4382
lets say x= salary person 1 3388 is salary of person 2
(x+3388)=4382*2
x=(8764-3388)
x=5376
the salary of person 1 is 5376 dollars per month
we check:
if we add 5376+3388=8764
8764/2=4382
If tan k times 90 = 0 then k is an even integer.
It is true that If tan k times 90 = 0 then k is an even integer.
What is meant by integer?An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples. All positive counting numbers, zero, and all negative counting numbers that count from negative infinity to positive infinity are included in the category of integers.
Here,
Since they include negative numbers but otherwise follow the same rules, integers add to this collection of numbers. Due to the fact that all positive integers are whole numbers, not all integers will be whole numbers (because certain integers can be negative).
To Use the unit circle
tan(x) = 0 only when x is 0 or a multiple of 180 (in degrees)
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plz help will make brainliest!!!!!
(by the way, if the pic is blurry, the equation you would solve is: 10x = 2x + 60)
Answer:
x = 7.5
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and equals:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 2x from both sides of the equation:
10x (-2x) = 2x (-2x) + 60
10x - 2x = 60
8x = 60
Next, isolate the variable, x. Divide 8 from both sides of the equation:
(8x)/8 = (60)/8
x = 60/8
x = 7.5
x = 7.5 is your answer.
~
Use the information to answer the question.
Juan has 5 counters. Carlos has 60 counters.
Carlos has how many times as many counters as Juan? Enter the answer in the box.
Answer:
22
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Becuase it was simple math. Have a good day.
3
Which expression is equivalent to -x--xy?
2x-xy?
4
x(3-y)
4x(3-y)
x(3+y)
4x(3 + y)
The expression equivalent to -x--xy is 4x(3 + y).
To simplify the expression -x--xy, we can apply the rules of combining like terms and distribute the negative sign.
-x - (-xy)
Removing the double negative:
-x + xy
Factoring out the common factor of x:
x(-1 + y)
Now, let's compare the simplified expression with the given options:
Option 1: 2x - xy
This expression is not equivalent to -x - (-xy) as it includes an additional term of 2x.
Option 2: x(3 - y)
This expression is equivalent to the simplified expression x(-1 + y), as it represents the distribution of x over the terms inside the parentheses.
Option 3: 4x(3 - y)
This expression is not equivalent to -x - (-xy) as it includes the constant term 4.
Option 4: x(3 + y)
This expression is not equivalent to -x - (-xy) as it includes the positive sign before the y term.
Option 5: 4x(3 + y)
This expression is not equivalent to -x - (-xy) as it includes the constant term 4 and the positive sign before the y term.
From the given options, the expression that is equivalent to -x - (-xy) is:
Option 2: x(3 - y).
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Michaela solved a system of linear equations that had no solution. One of the equations was x + y = 5. The other equation had a y-intercept of −2. What was the other equation?
Answer:
We have a system of equations with no solutions.
One of the equations is:
x + y = 5.
Isolating y in one side of the equation, we get:
y = 5 - x
And the other equation has an y-intercept of -2, the equation can be written as:
y = a*x - 2.
Then the system will be:
y = -1*x + 5
y = a*x - 2
The solution of a system of equations is a point where the graphs of both functions intersect.
Then if both of these lines are parallel, the lines will never intersect, then the second equation must be parallel to the first one.
And two lines are parallel if they have the same slope.
Then the other equation will be:
y = -x - 2
8. Use Patterns and Structure What is the minimum side length needed to complete the triangle? Explain.
The minimum side length of the triangle needed to complete the triangle is 5 feet.
What is a Triangle?A polygon that has three sides and three vertices is called a triangle.
The sum of all the angles of the triangle is 180°.
Given:
The two sides of the triangle are 7 feet and 3 feet.
Let a = 7 and b = 3.
The minimum possible value,
= Max(a, b) - Min(a, b) + 1
= 7 - 3 + 1
= 5 feet.
Therefore, the minimum length is 5 feet.
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Can anyone help please. Please show work too
The solutions to the system of equations are x = 2 and 4
How to determine the solution to the system of equationsFrom the question, we have the following parameters that can be used in our computation:
f(x) = x - 3
g(x) = 1/(x - 3)
The solution to the system of equations implies that
f(x) = g(x)
So, we have
x - 3 = 1/(x - 3)
Cross multiply the equation
This gives
(x - 3)² = 1
So, we have
x - 3 = ±1
Add 3 to both sides
x = 3 ± 1
So, we have
x = 2 and 4
Hence, the solutions to the system of equations are x = 2 and 4
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PLEASE HELP I NEED EXPLANATION.
Answer:
See below ~
Step-by-step explanation:
Sample Space : {HHH, HHT, HTH, HTT, TTT, TTH, THT, THH}
Event (first toss = heads)
4/81/2Answer:
Sample Space is 3, {HTH, THH, TTT, THT, HTT, HHH}
Step-by-step explanation:
Carla spent a total of 50 minutes making a loaf of banana bread. She spent 20% of the time preparing the ingredients. How many minutes did it take Carla to prepare the ingredients?
The number of minutes that it takes Carla to prepare the ingredients will be 10 minutes.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
Carla spent a sum of 50 minutes making a portion of banana bread. She invested 20% of the energy in setting up the fixings.
The preparation time of the ingredient will be given as,
⇒ 20% of 50
⇒ 0.20 x 50
⇒ 10 minutes
The number of minutes that it takes Carla to prepare the ingredients will be 10 minutes.
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please assist with these questions thanks
1a. The percentage total return is -19.56%
1b. The dividend yield is 2.42%.
1c. The capital gains yield is -21.98%.
2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.
2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.
3a. The real return on long-term government bonds is 3.195%
3b. The real return on long-term corporate bonds is 3.291%
How to calculate the percentage total return?In Financial accounting, the percentage total return (P) can be calculated by using this formula;
P = [(Ending price - Initial price) + Dividend] ÷ Initial price
P = [(71 - 91) + 2.20] ÷ 91
P = -0.1956 or -19.56%
1b. For the dividend yield, we have:
Dividend yield = Dividend ÷ Initial price
Dividend yield = 2.20 ÷ 91
Dividend yield = 0.0242 or 2.42%
1c. For capital gains yield, we have:
Capital gains yield = (Ending price - Initial price) ÷ Initial price
Capital gains yield = (71 - 91) ÷ 91
Capital gains yield = -0.2198 or -21.98%.
Part 2.
a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.
b. For arithmetic average annual return in real terms, we have:
(1 + 0.145) = (1 + r)(1 + 0.044)
r = (1.145/1.044) - 1
r = 9.67%
Part 3.
a. For real return on the long-term government bonds, we would apply Fisher equation:
(1 + i) = (1 + r)(1 + h)
Where:
i is the nominal interest rate.r is the real interest rate.h is the inflation rate.(1 + 0.066) = (1 + r)(1 + 0.033)
1 + r = 1.066/1.033
r = 3.195%
b. For real return on long-term corporate bonds:
(1 + 0.067) = (1 + r)(1 + 0.033)
1 + r = 1.067/1.033
r = 3.291%
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