The percent of its flights that do not arrive on time is 9.3%.
What is percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
From the information, the airlines reports that 90.7 percent of its flights arrive on time.
The percent of its flights which do not arrive on time will be:
= 1 - Those who came in time
= 1 - 90.7
= 9.3%
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The third term of the sequence is 165. Find the first term
Term to term rule is subtract 2 and then multiply by 3
The value of the first term in the sequence is 21.
How to calculate the first term?Let the second term teen be x.
Since the term to term rule is subtract 2 and then multiply by 3. This will be:
(x - 2) × 3 = 165
3(x - 2) = 165
3x - 6 = 165
Collect like terms
3x = 165 + 6
3x = 171
Divide
x = 171 / 3.
x = 57
Second term = 57
We will do same thing again to get first term. Let first term be a.
(a - 2) × 3 = 57
3a - 6 = 57
Collect like terms
3a = 57 + 6
3a = 63
Divide
a = 63/3
a = 21
The first term is 21.
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Ming was planning a trip to Western Samoa Before going, She did some research and learned that the exchange rate is 6 Tala for $2. How many tala would get if she exchanged $6
If she did some research and learned that the exchange rate is 6 Tala for $2. The number of tala she get if she exchanged $6 is 18 tala.
How to find the number of tala?Given data:
Exchange rate = 6 Tala for $2
Let x represent the tala Ming will get if she exchange $6
$2/6 = $6/X
Cross multiply
2x = 6× $6
2x = 36
Divide both side by 2x
x = 36/2
x = 18 tala
Therefore she would get 18 tala.
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The revenue for a business, as a function of units produced, x, is shown below by R(x). C(x) represents the cost of producing x units. Calculate the profit function and then determine how many units must be produced for the business to break even.
R(x) = 12x
C(x) = x + 264
The profit function for the revenue R(x) = 12x and the cost, C(x) = x + 264 is 11x-264 and units must be produced for the business to break even is 24 units.
What is revenue profit?Profit refers to net income after deducting expenses from earnings, whereas revenue refers to income generated through business operations. Sales, fee-based income, and property-based income are just a few of the different ways that money can come in.
Here,
R(x)=12x
C(x)=x+264
It represents the difference between total revenues and total outlays.
Revenue minus costs equals profit.
Profit = Revenue - Cost
P(x)=R(x)-C(x)
P(x)=12x-x-264
P(x)=11x-264
For the company to break even,
R(x) = C(x)
12x=x+264
11x=264
x=24
The break-even point for the business is 24 units, and the profit function for the revenue R(x) = 12x and the cost C(x) = x + 264 is 11x-264.
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Consider a home mortgage of $125,000 at a fixed APR of 4.5% for 15 years. a. Calculate the monthly payment. b. Determine the total amount paid over the term of the loan. c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.
Monthly payment would be $956.24
Loan APR is 4.892%
HOW TO DETERMINE THE ANSWER?
Answer:
The degree of the polynomial is 4. That is the highest exponent.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
to find degree you look at what the highest exponent when simplified is and that is your answer and inThis case it’s 4
Hopes this helps please mark brainliest
Which set of side lengths will NOT create a triangle? Responses 3, 4, 5 3,, , 4,, , 5, EndFragment, 10, 13, 14 10, 13, 14, EndFragment, 10, 20, 30 10, 20, 30, 16, 20, 30
The set of side lengths that would not create a triangle is; 10, 20, 30.
Which set of side lengths will not create a triangle?It follows from the task content that the set of side lengths which will not create a triangle are to be determined from the given task content.
Since the triangle inequality theorem states that; the sum of two side lengths of a triangle is always greater than the third side length and also, the difference of two side lengths of a triangle is less than the third side length.
On this note, for a triangle with side-lengths a, b and c; the inequalities which hold are;
a + b > c and a - b < c.
Therefore, the set of side-lengths which will not create a triangle is; 10, 20, 30.
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In a garden club, 90% is ladies. The number of ladies is 12 more than 3 times the number of gentlemen.
How many ladies and how many gentlemen are in the club?
(Note: set up a rational equation and solve)
The numbers of ladies and gentlemen in the club are 2 and 18 respectively.
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100
Given that, there are 90% of ladies in the club, and the number of ladies is 12 more than 3 times the number of gentlemen.
Let the number of gentlemen is x and the number of ladies be y.
Since the number of ladies is 12 more than 3 times the number of gentlemen, it follows:
Calculationy = 12 + 3x (1)
Now, the total number of members in the club is:
x + y
Since there are 90% ladies in the club, it follows:
90%(x + y) = y
90(x + y)/100 = y
90x + 90y = 100y
90x = 100y - 90y
90x = 10y
9x = y (2)
Now, substitute y = 9x into equation (1):
9x = 12 + 3x
9x -3x = 12
6x = 12
x = 2
Substitute x = 2 into equation (2):
9(2) = y
18 = y
Hence, the numbers of ladies and gentlemen in the club are 2 and 18 respectively.
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I need help with this please and thank you
Answer:
length 12width 7Step-by-step explanation:
Adding 5 m to the width of a rectangle makes it a square with area 144 m². You want the length and width of the original rectangle.
AreaThe formula for the area of a square is ...
A = s²
The side length of the square formed from the rectangle is ...
144 = s²
√144 = s = 12 . . . . . meters
RectangleThe length of the rectangle is unchanged when it is made into the square, so the length is 12 m.
The width of the rectangle had 5 m added to make it 12 m, so the width of the rectangle is 7 m.
__
Additional comment
The given relation between length and width is given as L = 2W -2. It is true that 12 = 2(7) -2, but that is not needed in order to solve this problem. It does serve as a check on our answer.
A football player makes an annual salary of 2,100,000.
A charitable organization states that for $120 it can send 1 child to school in a developing country for 1 year. The football player decides to donate 10% of his annual salary to this organization.
Calculating it would be 210,000
About how many children could his donation send to school for 1 year?
For a year, 1750 students were able to donate to the school.
What is meant by percentage?A % in mathematics is a quantity or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent sign, "%," is frequently used to indicate it by % lacks dimensions and has no associated unit of measurement.
The Latin word per centum, which means "hundred" or "by the hundred," is where the word "percent" originates. The % calculator computes a variety of percentage-based numbers, such as the percentage difference between two provided values.
Given,
The annual salary of a football player is 210000
1 student ----------$120
x ------------$210000$
x=(210000/120)
x=1750 students
1750 students could send their donation to the school for 1 year.
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Please help! What is the equation of the line?
y=-3x
y=3x
y=3x+1
y=4x
Answer: y=3x
Step-by-step explanation:
The equation can be found by finding the slope of the given line. Visually, this can be found by counting the distance between two points. From (1,3) and (2,6), the line "rises" 3 units and "runs" 1 unit to the right. Since slope is calculated as rise over run, this gives us 3/1, or just 3 for slope. In slope-intercept form, this becomes y=3x.
Just to note, we know it is not negative because of the direction of the slope. Visually, if the slope "moves" in the direction of upwards and to the left, it will be positive. This can be calculated more accurately using the slope formula (y2-y1/x2-x1)
a park has used 4,500 on this month which is 45.50% of its allotted monthly budget how much is the monthly budget
=========================================================
Work Shown:
x = monthly budget
45.50% of x = 0.4550x = 4500
0.4550x = 4500
x = 4500/0.4550
x = 9,890.1098901099 approximately
x = 9,890.11
a) What are the coordinates of A?
b) What are the coordinates of B?
Answer:
Coordinates of A are (-2.5, -1.5)
Coordinates of B are (4.5, -3.5)
Quiero el resultado de la ecuación 5 x + 2 y = 90
Answer:
x=18-2/5y
y=-5/2x+45
Step-by-step explanation:
5x+2y=90
Nosotros queremos resolver para x o y
5x=90-2y
x=18-2/5y
o
2y=90-5x
y=-5/2x+45
Answer:
x=18-2y/5
Step-by-step explanation:
GENETICS AND HEREDITY
CHECKPOINT
Using a standard 52-card
deck, what is the probability
of being dealt an ace and then another ace?
The probability of being dealt an ace=4/52
The probability of being dealt another ace = 3/51
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.
The probability of drawing one of the four aces from a typical 52-card deck is 4/52; but, the probability of drawing a second ace is merely 3/51 since, after the first ace was drawn, there were only three more aces remaining in the remaining 51 cards.
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Use the digits -9 to 9 (each only once) to create a real solution between 30 and 80
(a+bi)(c+di)
According to the imaginary number, the real solution between 30 and 80 is 60
Imaginary number
An imaginary number refers a real number multiplied by the imaginary unit i, which is defined by its property i² = −1.
Given,
Here we have to use the digits -9 to 9 (each only once) to create a real solution between 30 and 80 (a+bi)(c+di).
We know that the digits from -9 to 9 are listed as follows:
(-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9)
Now, we have to choose the digits -9 to 9, as the value of a, b, c and d,
For that we have to choose the value of a = 3, b = -9, c = 2 and d = 6,
Now, we have to apply these value on the given imaginary equation, then we get,
(a + bi) (c + di) = (3 + -9i) (2 + 6i)
When we simplify this one then we get,
=> 6 + 18i + (-18i) – 54i²
We know that value of i² = -1, then the equation is written as,
=> 6 - 54(-1)
=> 6 + 54
=> 60
Therefore, 60 is a real solution between 30 and 80.
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A falcon flies 800,000 meters in 4 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. Show your work.
Part A: Rearrange the distance formula, d = rt, to solve for rate.
Part B: Find the falcon's rate in meters per hour.
Part C: Find the falcon's rate in kilometers per hour.
Part D: Which unit, meters, or kilometers, makes more sense to use in this scenario, and why?
PLEASE HELP FAST I RLLY NEED THIS
The information about the Falcon fly is represented below
Part A: 800 000 = 4r
part B: 200 000 meters per hour
Part C: 200 kilometer per hour
Part D: Kilometers makes more sense because it makes the number easier to write and remember
How to find the falcon's rate in meters per hourThe rate as used refers to speed which is distance / time
using the representation 800 000 = 4r
rate, r = 800 000 / 4
r = 200 000 meters per hour
converting meter to kilometer is achieved by dividing by 1000
r = 200 000 meters per hour / 1000
r = 200 kilometers per hour
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A rare coin increases in value according to the function f(x)=100(1.07)x
f(x)=100(1.07)x where x represents the amount of years that the coin is owned and value is measured in US dollars. What is the value of the coin after 5 years?
The value of the coin after five years is 535 when the value increases with the function f(x) = 100(1.07)x
The value of a rare coin rises in accordance with the function f(x)
f(x) = 100(1.07)x
where x represents the number of years that the coin is owned and value is measured in US dollars
Now, Simplifying the given function, we have :
f(x) = 100(1.07)x
f(x) = 107x
Now, we need to find the value of the coin after five years, then
Putting x = 5 in the function,
f(x) = 107 * 5 = 535
Hence, the value of the coin after five years is 535 when the value increases with the function f(x) = 100(1.07)x
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Nicholas started a canned-food drive at school. The equation representing this is y = 235x + 15, where x is the number of days, and y is the number of cans collected. Explain how to determine how many days it would take to collect 2600 cans.
The number of days it would take to collect 2600 cans is; 11 days
How to change the subject of the formula?We are given the equation that represents the number of cans that Nicholas collected as; y = 235x + 15
where;
x represents the number of days.
y represents the number of cans collected.
Now, we want to make x the subject of the formula;
y = 235x + 15
Subtract 15 from both sides to get;
y - 15 = 235x
divide through by 235 to get;
(y - 15)/235 = x
When y = 2600;
x = (2600 - 15)/235
x = 11 days
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A rectangle is drawn so the width is 4 inches longer than the height. If the rectangle's diagonal
measurement is 28 inches, find the height.
The height is 17.69 inches.
From the question, we have
Let height= h
width = h+4
diagonal = 28 inches
Using Pythagoras Theorem
28² = h² + (h+4)²
784 = h² +h² +16+8h
784 = 2h² +16+8h
2h²+8h-768 = 0
Solving this, we get
h=−2+2*√97
h=17.69 inches
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
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Which question can be represented by the equation ? × 1/8 = 3
A) how many 3s are in 1/8?
B) what is 3 groups of 1/8?
C) how many 1/8s are in 3?
D) what is 1/8 of 3?
The question that can be represented by the equation ? × 1/8 = 3 is C. how many 1/8s are in 3?
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, the question is how many 1/8s are in 3. This will be:
= 3 ÷ 1/8
= 3 × 8
= 24
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Divide:
3⁄5 ÷ 1⁄5 =
. .
Answer: 3/1
Step-by-step explanation:3 ÷ 1 =1÷3 =3
5 5 = 5÷5=1
therefore, 3 by five divided by 1 by five is equal to 3 by 1 ,
Antoinette solves the linear equation 3 (x minus 3) + 2 x + 9 = 2 x + 2 (x minus 1) using the steps shown below.
Step 1: 3 x minus 3 + 2 x + 9 = 2 x + 2 (x minus 1)
Step 2: 5 x + 6 = 4 x minus 1
Step 3: 5 x minus 4 x = negative 1 minus 6
Step 4: x = negative 7
She checks her solution by substituting –7 for x in the original equation. She determines that her answer is incorrect. Which best describes Antoinette’s error?
She distributed incorrectly.
She incorrectly combined like terms.
She incorrectly applied the addition and subtraction properties of equality.
She incorrectly applied the multiplication and division properties of equality.
Answer:
She distributed incorrectly.
Step-by-step explanation:
In the first step, [tex]3(x-3)=3x-9[/tex], not [tex]3x-3[/tex].
Oliver saves %10 of their weekly earnings for living expenses. oliver usually makes $520 each week. This week oliver made %10 more. incorrectly oliver claims that has $520 left for spending money this week. Calculate the amount of spending money left for this week. What error did olive likely make?
Oliver is left with $514.8
A percentage is a number or ratio expressed as a fraction of one hundred. If we need to calculate a percentage of a number, divide it by the whole and multiply by 100. As a result, the percentage represents one part in a hundred. The term % stands for one hundred percent.
His usual salary = $520 per week
This week he earned = Usual salary + 10% of usual salary
10% of usual salary =520 x (10/100)
Thus, this week's earnings = $520 + $52 = $572
Amount spent = 10% of this week =572 x (10/100)
= 57.2
Thus, the left amount is calculated by:
Left amount = this week's salary - the amount spent
Amount left = $572 - $57.2 = $514.8
Thus, Oliver is left with $514.8
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Can anybody help me with this question?
Answer:
x=3
Step-by-step explanation:
any horizontal line is equal to x
the y is equal to 0
a horizontal line is undefined
1. Find the equation of the line that has a slope of 7 and passes through the point (-8,3).
The equation of the line has a slope of 7 and passes through the point (-8,3) is y = 7x + 59.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values
The general form of a linear equation is the slope(m) and y-intercept (c) is given as
y = mx + c
Slope m =7
y = 7x + c
Substitute, (-8,3)
3 = 7(-8) + c
c = 59
Thus, y = 7x + 59 will be the equation.
Hence "The equation of the line has a slope of 7 and passes through the point (-8,3) is y = 7x + 59".
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A number, n, is added to 15 less than 3 times itself. The result is 101. Which equation can be used to find the value
of n?
O 3n-15+n= 101
O 3n+15+ n = 101
O 3n-15-n=101
O 3n+15-n=101
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The correct expression will be;
⇒ 3n - 15 - n = 101
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is;
''A number, n, is added to 15 less than 3 times itself. The result is 101.''
Now,
Since, The algebraic expression is;
''A number, n, is added to 15 less than 3 times itself. The result is 101.''
So, We can formulate;
⇒ 3n - (15 + n) = 101
⇒ 3n - 15 - n = 101
Thus, The correct expression will be;
⇒ 3n - 15 - n = 101
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A trucking company has 5 trucks and 4 drivers available when requests for 3 trucks are received. How many different ways are there of selecting the trucks and the drivers to meet these requests?
The different ways that are there of selecting the trucks and the drivers to meet these requests is 240 ways.
How to calculate the number of ways?Combinations are also referred to as selections. Combinations imply the selection of things from a given set of things. In this case, we intend to select the objects.
Combination formula
ⁿCr = n! / ((n – r)! r!)
n = the number of items.
r = how many items are taken at a time.
The number of ways to select 3 trucks will be:
= ⁵C₃ = 10
The number of ways to select 3 drivers will be:
= ⁴C₃ = 4
Number of ways to arrange them = 3! = 3 × 2 = 6
Therefore the total number of ways will be:
= 10 × 4 × 6
= 240 ways
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Angelo constructed 8 playing card houses in 4 minutes. How long would it take for him to construct 20
houses?
Answer:
10 minutes.
Step-by-step explanation:
8 houses are done in 4 minutes
The ratio is 2:1
20 houses are done in 10 minutes
20:10 = 2:1
Answer:
It would take Angelo 10 minutes to construct 20 playing card houses.
first way to solve it (recommended):
Step one: See how much it takes to build one house
4 / 8 = 0.5
0.5 minutes to build one house
Step two: multiply by amount of houses (20)
0.5 x 20
Step three: get your answer!
It would take Angelo 10 minutes to make 20 houses.
second way to solve it (ratios):
Step one: see the ratio of minutes to houses
minutes : houses
4 : 8
Step two: simplify the ratio
4 : 8
1 : 2 (divide both sides by four)
Step three: multiply
x minutes : 20 houses
1 minutes : 2 houses
multiply both sides by 10
10 minutes : 20 houses
Step four: get your answer!
It would take Angelo 10 minutes to make 20 houses.
I hope my answer helped you!
3. A pool has 25 inches of water in it when it begins to rain. The rain falls at 4 inches per hour
Write an equation for the height of the water h as a function of the hours rained, t
A) h = 4t - 25
B) h = 25t + 4
C) h = 4t + 25
D) h = 25t + 4
Answer:
The Answer is C.
Step-by-step explanation:
It's important to know how the standard form of an equation works.
Remember that y = mx + b, where y is the output value, m is the slope of the equation, and b is the y-intercept (the initial value) of the equation. We know that the pool starts with 25 inches of water in it, so the initial value, or y-intercept is 25, because the pool starts with 25 inches of water after 0 hours. We know that the pool fills up 4 inches per hour, meaning as each hour progresses, the equation will increase by 4. This is the slope. y has been replaced with h in this equation. So, your answer would be h = 4t + 25.
The students at Britney's school voted for a new school color. 20% of the students voted for green. If there are 585 students in Britney's school, how many students voted for green?
Answer:
117
Step-by-step explanation:
20% = 1/5
585 x 1/5 = 117!