The probability that a student ordered a hamburger and a Slurpee is Option D) 23 over 137.
What is probability?Generally, To find the probability that a student ordered a hamburger and a Slurpee, we need to divide the number of students who ordered a hamburger and a Slurpee by the total number of students.
From the table, we can see that 23 students ordered a salad and a water.
There were a total of 38 + 12 + 14 + 18 + 28 + 7 + 23 = 137 students in the cafeteria.
Therefore, the probability that a student ordered a salad and a water is 23/137, or about 0.17.
Therefore, the correct answer is d) 23 over 137.
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The graph of the exponential function f(x) is shown below. Which statement about the features of the graph for f(x) is correct?
A. The value of f(x) doubles for every 4 unit increase in x
B. The value of f(x) is increasing for each unit decrease in x
C. The value of f(x) is decreasing for each unit increase in x
D. The y -intercept of f(x) is 40
B .The value of f(x) is increasing for each unit decrease in x about the graph is correct.
What is the graph of exponential function?
The graphs of exponential functions are nonlinear—because their slopes are always changing, they look like curves, not straight lines
Exponential function f(x) is given
According to given graph, The value of f(x) is increasing for each unit decrease in x
Therefore, The statement, The value of f(x) is increasing for each unit decrease in x about the graph is correct.
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Which algebraic expression is a polynomial term?
A polynomial term is an expression composed of constants, variables, and exponents.
A polynomial term is an expression composed of constants, variables, and exponents. Constants are the numerical values that don't change, while variables are values that can change. Exponents are numbers that indicate how many times a number is multiplied by itself. For example, 2^3 means 2 multiplied by itself 3 times, or 8. A polynomial term is an expression that combines constants, variables, and exponents, such as 6x^2 - 3x + 5. In this expression, 6, -3, and 5 are constants, x is a variable, and 2 and 1 are exponents. A polynomial term can also contain fractions, such as (2x + 1)/3. In this case, 2, 1, and 3 are constants, and x is a variable. Polynomial terms are the building blocks of polynomials, which are equations that consist of multiple polynomial terms.
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Lance is drawing a triangle. He draws one
side that is 8 inches long and another side
Se that is 5 inches long. Which one of the yeu
following could be the third side?
The possible lengths for the third side could be: any length between 1 inch and 12 inches (but not equal to either 8 inches or 5 inches) any length greater than 12 inches
What is triangle ?
Triangle can be defined in which it consists of three sides , three angles and sum of three angles is always 180 degrees.
Given ,
Lance is drawing a triangle. He draws one side that is 8 inches long and another side Se that is 5 inches long.
The third side of the triangle can be any length that satisfies the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
So, in Lance's triangle, if the first side is 8 inches long and the second side is 5 inches long, then the third side must be less than 8 + 5 = 13 inches.
So, the possible options for the third side are:
6 inches
7 inches
9 inches
10 inches
11 inches
12 inches
13 inches or longer.
Therefore, The possible lengths for the third side could be: any length between 1 inch and 12 inches (but not equal to either 8 inches or 5 inches) any length greater than 12 inches
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according to internet security experts, approximately 90% of all e-mail messages are spam (unsolicited commercial e-mail), while the remaining 10% are legitimate. a system administrator wishes to see if the same percentages hold true for the e-mail traffic on her servers. she randomly selects e-mail messages and checks to see whether or not each one is legitimate. (unless otherwise specified, round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 12.34%). a) assuming that 90% of the messages on these servers are also spam, compute the probability that the first legitimate e-mail she finds is the sixth message she checks.
The probability that the first legitimate e-mail she finds is the sixth message she checks is 0.0656.
What is probability?
The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.
Here, we have
Given: according to internet security experts, approximately 90% of all e-mail messages are spam (unsolicited commercial e-mail), while the remaining 10% are legitimate.
For each message, we have the following probabilities:
90% probability it is spam.
10% probability it is legitimate.
Compute the probability that the first legitimate e-mail she finds is the fifth message she checks:
The first four are all spam, each with a 90% probability.
The fifth is legitimate, with a 10% probability.
P = (0.9)⁴×0.1
P = 0.0656
Hence, the probability that the first legitimate e-mail she finds is the sixth message she checks is 0.0656.
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which of the ordered pairs (18,8) , ( 8,18) , (9,4) or (4,9) is a solution to the system of equations
When we solve the provided question, the equations will be - > x = 1/2 y + 5
What exactly is an equation?A mathematical equation is a formula that joins two statements and indicates equality with the equal symbol (=). In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the relationship between the two sentences on either side of a letter. There is commonly only one parameter, which also provides as the symbol. For instance, 2x - 4 = 2.
Here, the equations will be -
x = 1/2 y + 5
2x + 3y = 14
2(1/2y + 5) +3y = -14
y = -6
and x 2
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a manufacturing production line breaks down two times a week on average. what is the probability that the interarrival times between breakdown will be less than 2 days?
The probability that there will be less than two days between manufacturing production line outages is approximately 0.553, or 55.3%.
We need to make some assumptions in order to calculate the probability that the time intervals between manufacturing production line breakdowns will be shorter than two days. Assume that the intervals between breakdowns have an exponential distribution with a mean of 3.5 days (1/2 times per week).
The probability that an interarrival time is fewer than two days can be calculated using the exponential distribution formula as follows:
P(X < 2) = 1 - e(-2/3.5)
where "X" stands for the duration in between breakdowns.
When we condense the expression, we get:
P(X < 2) = 0.553
Therefore, The probability that there will be less than two days between manufacturing production line outages is approximately 0.553, or 55.3%.
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When Cheryl’s phone battery is 55% charged, she knows it will last for another 1.5 hours. If Cheryl’s phone battery loses its charge at a constant rate, how long, in hours, will it last when it is fully charged?
Create a proportion using the given information to determine how long it will take for Cheryl's phone battery to totally drain. Total time divided by the remaining charge's percentage equals the remaining time (total charge)
What battery loses its charge at a constant rate?Enter these values because Cheryl is aware that the battery will continue to operate for 1.5 hours at a 55% charge. 1.5 / 0.55 = (total time) / 1 = (total time) / (total charge) (amount of time left) / (remaining percentage of the charge)
When we calculate the total amount of time, we get:
Time: 2.727 hours (1.5 / 0.55 × 1) * 1
To determine how long the battery will survive after fully charged, we may simply reverse the rate of discharge:
Total time / Total charge / (time left) / 1 = Total time / 100 (time left) = Total time / 100 (time left) (percent charge remaining)
The battery's lifespan after being completely charged is as follows:
(Total time) / 100 divided by the remaining time gives us 2.727 / 100 or 0.02727 hours.
As a result, after 1.64 minutes, or 0.02727 hours, Cheryl's phone battery will be fully charged.
Therefore, It takes 2.727 hours for Cheryl's phone battery to totally drain at a constant rate.
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help me with the question, please
have a good day
Answer:
3 liters
Step-by-step explanation:
If he took the 2 fullest containers, he took the two dots that are at 4 1/2, which is also 4.5
Now since there are two, we multiply by 2.
4.5 = 9 liters
It then says he will divide the milk evenly between 3 containers. So now we divide.
9/3 = 3
i need help please!!!!!!!!!!
A person's height and speed to reach mars are the two things cοnsidered to be measured.
What does precision mean?Precision is a number that expresses the value οf the number and indicates how many informational digits are there. Fοr instance, 3.14 is an approximation οf pi that is reasonable and accurate. Hοwever, the precision digit, which is 3.199, is less than the precise digit.
1. A person's height and the speed necessary tο reach Mars are two things you could measure. We dοn't need to be extremely precise because it's possible to measure the person's height with a mοdest level of accuracy. If we said something like, "that individual is rοughly 6 feet tall," the person listening wοuld have an idea of their height. For a rocket speed to Mars, hοwever, we require excellent accuracy because getting this number incοrrect could have disastrous consequences in the future. In οrder to ensure that we strike the necessary οbjective in space, extremely difficult mathematics is required.
2. As already mentiοned, anything involving space travel requires extreme precision. The spacecraft might sοmehow crash if the calculations are off. Engineers utilized the incοrrect parameters in one instance, causing the Mars lander tο smash into the planet rather than land safely. Given the expensive cost οf such space exploration missions, it is imperative to οbtain exact data that is as accurate as feasible. It's nοt necessary to be extremely accurate while discussing someοne's height because we can merely give approximatiοns to anyone we're speaking tο. Cοmpared to something like a rοcket launch, the level of accuracy required in this informal situation is lοwer.
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consider the ir spectrum. an i r spectrum has percent transmittance from 0 to 100 percent on the y axis and wave number in inverse centimeters from 4000 to 600 on the x axis, with peaks, or bands, pointing downwards. there is a strong, very broad band in the 3600 to 3100 inverse centimeter range, a strong, spiked peak in the 3000 to 2800 inverse centimeter range, a weak peak near 1850 inverse centimeters, a sharp peak near 1640 inverse centimeters, a series of spiked bands in the 1500 to 1200 inverse centimeter range, and two strong bands at 990 and 910 inverse centimeters. which compound matches the ir spectrum?
The IR spectrum described could be an alkyl chloride with a carbonyl group, such as chloroform ([tex]CHCl_{3}[/tex]).
The IR spectrum described suggests the presence of several functional groups in the compound.
The strong, broad band in the 3600 to 3100 inverse centimeter range corresponds to the stretching vibration of the O-H bond in alcohols, while the strong, spiked peak in the 3000 to 2800 inverse centimeter range corresponds to the stretching vibration of the C-H bond in alkanes. The weak peak near 1850 inverse centimeters corresponds to the stretching vibration of the C=O bond in ketones, while the sharp peak near 1640 inverse centimeters corresponds to the stretching vibration of the C=C bond in alkenes.
The series of spiked bands in the 1500 to 1200 inverse centimeter range corresponds to the bending vibrations of the C-H bond in alkanes, while the two strong bands at 990 and 910 inverse centimeters correspond to the stretching vibration of the C-Cl bond in alkyl chlorides.
Based on this information, the compound that matches the IR spectrum described could be an alkyl chloride with a carbonyl group, such as chloroform ([tex]CHCl_{3}[/tex]).
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. three coins are tossed up in the air, one at a time. what is the probability that two of them will land heads up and one will land tails up?
The probability of receiving two heads and one tail is 3/8, or 0.375.
One of the areas of probability theory is the estimation of the chance of experiments occurring. Using a probability, we can calculate everything from the likelihood of getting heads or tails when flipping a coin to the likelihood of making a research error, for example. It is essential to appreciate the most basic definitions of this branch, such as the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc., in order to properly understand it .Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. Mathematics has incorporated probability to forecast the likelihood of various events.
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If the length of the rectangle is (7x − 6) and the width is (5x + 6). Find the area of the rectangle
The area of a rectangle is 35x^2 + 12x - 36
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
To determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given that the length of the rectangle is (7x − 6) and the width is (5x + 6).
Thus the width be (5x + 6).
So, the length = (7x − 6)
So,
Area of rectangle = (7x − 6) (5x + 6).
= 35x^2 + 42x -30x - 36
= 35x^2 + 12x - 36
So, The area is 35x^2 + 12x - 36
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WILL MARK BRANLIEST!!! PLEASE HelP
The sum of the geometric sequence for this problem is given as follows:
S = 665.
How to obtain the sum?The sum of the first n terms of a geometric sequence of first term [tex]a_1[/tex] and common ratio q is given by the equation presented as follows:
[tex]S_n = \frac{a_1(1 - r^n)}{1 - r}[/tex]
The parameters for this problem are given as follows:
[tex]a_1 = 32, n = 6, r = 1.5[/tex]
Hence the sum is obtained as follows:
S = 32 x (1 - 1.5^6)/(1 - 1.5)
S = 665.
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A quilter created the following shape to use in a block for a new quilt. A six-sided figure with a large base of 16 inches. The side to the right of the base is 9 inches. The small side parallel to the base is 6 and two fifths inches. There are two sides that form a point at a right angle. The smaller is 6 inches, and the larger is 7 and one-half inches. What is the area of the shape for the quilt block? ninety-four and one half in2 one hundred sixty-six and one half in2 189 in2 333 in2
The total area of the quilt is: 166.5 square inches
How to determine the total area of the quilt?The six-sided figure is given, and we can deduce the following parameters from the question:
The shape is made of a triangle and a rectangle
The side lengths derived from the question are:
The triangle on top:
base: 6 inches and height: 7.5 inches
The rectangle at the bottom:
Base: 16 inches with a height of 9 inches
So, we have the total area of the figure to be
Area of figure = (1/2 * 7.5 * 6) + (16 * 9)
Area of figure = 22.5 + 144
Area of figure = 166.5 in²
Based on the parameters, the total area is 166.5 square inches
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both are measured in people per hour and the time t is measured in hours after midnight. these functions are valid for , the hours during which the park is open. at time , there are no people in the park. (1) how fast are people entering the amusement park at 9:00 a.m.?
At 9:00 a.m., the rate of people entering the amusement park is 533 people per hour, while the rate of people leaving the amusement park is 67 people per hour.
(1) At 9:00 a.m., the rate of people entering the amusement park is given by the derivative of the entering function, which is:
f'(t) = 400 + 200cos(πt/12).
At t = 9, this rate is 400 + 200cos(π*9/12) = 400 + 200cos(3π/4) ≈ 533 people per hour.
(2) At 9:00 a.m., the rate of people leaving the amusement park is given by the derivative of the leaving function, which is:
g'(t) = 200 - 200cos(πt/12).
At t = 9, this rate is 200 - 200cos(π*9/12) = 200 - 200cos(3π/4) ≈ 67 people per hour.
the complete question is :
both are measured in people per hour and the time t is measured in hours after midnight. these functions are valid for , the hours during which the park is open. at time , there are no people in the park. (1) how fast are people entering the amusement park at 9:00 a.m.? (2) how fast are people leaving the amusement park at 9:00 a.m.?
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Suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple, and yellow.
(a) How many ways can this be done, if the order of the choices matters?
(b) How many ways can this be done, if the order of the choices does not matter?
If the order of choices matter, then;
Number of ways = 20
Also, if order of choices does not matter, then;
Number of ways = 10
Total number of choices = 5
Object choices = 2
By method of permutation
Number of ways = 5! / (5-2)!
Number of ways = 5! / 3!
Number of ways = 5 x 4
Number of ways = 20
Total number of choices = 5
Object choices = 2
By method of combination
Number of ways = 5! / (5-2)! 2!
Number of ways = 5! / 3! 2!
Number of ways = 5 x 4 / 2
Number of ways = 20 / 2
Number of ways = 10
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1. Cam has just completed her first year of
college, and she has decided to put her
possessions in a self-storage facility while
she's visiting her family during summer
vacation. She will be charged a flat fee of
$35.00 plus $0.45 for each day of storage. If
Cam stores her possessions for d days and
is charged a total of $63.80, which of the
following equations can be used to solve for
d?
A. 35+0.45 + d = 63.80
B. 35+0.45 = d+63.80
C. 350.45 + d + 63.80
D. 35+0.45d = 63.80
E. 35+0.45 = 63.80d
The equation that represents the given scenario is 35 + 0.45d = 63.80
What is Linear Equation:The linear equation is a mathematical statement that is solved for an unknown value. The linear equation is straight in a graph where the variable will represent an unknown value in the given problem.
To find the required equation, first calculated the charge according to the given problem and form the linear equation using the given variable.
Here we have
Cam will be charged a flat fee of $35.00 plus $0.45 for each day of storage.
If Cam stores her possessions for d days then the charge = $ 0.45d
After adding the fee the total charge will be $ 35 + $ 0.45d
Given that the total charge is $63.80
From the above calculations,
=> $ 35 + $ 0.45d = $ 63.80
=> 35 + 0.45d = 63.80
Therefore,
The equation that represents the given scenario is 35 + 0.45d = 63.80
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A factory has 1,254 tires each new car needs 4 tires how many new cars can be made
The total number of new cars made by a factory from 1,254 tires as each car required four tires is equal to 314 ( round off to nearest whole number ).
Total number of tires in the factory is equal to 1,254
Number of tires required by each new car is equal to 4 tires.
The total number of new car made by a factory is equal to :
4 tires = 1 new car
⇒ 1 tire = ( 1 / 4 ) new car
⇒ 1,254 tires = 1,254 × ( 1 / 4 ) new car
⇒ 1,254 tires = ( 1,254 / 4 ) new cars
⇒ 1,254 tires = 313.5 new cars
But number of new cars cannot be in the decimals or fraction.
Round off to the nearest whole number .
⇒ 1,254 tires = 314 new cars ( nearest whole number )
Therefore the total number of new cars made by a factory is equal to 314 new cars.
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The top of a tree broken by the wind made an angle of 45° with the ground. If the distance of the point where the top touched the ground from the foot of the tree is 30 ft, find the height of the tree before it was broken. Ans: 72.43 ft
The height of the tree before it got broken is given as 72.43 feet
How to solve for the heightwe have
the angle made at 45 degrees
The top touched the ground from 30 feet
we have tan 45 = x / 30
1 = x /30
x = 30
cos 45 = 1 / √2
1 / √2 = 30 / y
y = 30√2
the height = x + y
= 30 + 42.43
= 72.43
The height of the tree before it was broken is 72.43 ft
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Question : find the exact answer for the following. Then round off the first number to 100 places and the second to 10 places and estimate the answer, mention if the answer is reasonable or not.
A) 145.86 + 79.6
B) 2450.21 - 599.36
C) 922.58 - 398.99
D) 2351.85 + 89
A) 145.86 + 79.6 = 225.46
Rounding off the first number to 100 places, 145.86 becomes 145.86000
Rounding off the second number to 10 places, 79.6 becomes 79.60000
So the rounded answer is 145.86000 + 79.60000 = 225.46000
Estimated answer: 225
The answer is reasonable.B) 2450.21 - 599.36 = 1851.05
Rounding off the first number to 100 places, 2450.21 becomes 2450.21000
Rounding off the second number to 10 places, 599.36 becomes 599.36000
So the rounded answer is 2450.21000 - 599.36000 = 1851.05000
Estimated answer: 1850
The answer is reasonable.C) 922.58 - 398.99 = 523.59
Rounding off the first number to 100 places, 922.58 becomes 922.58000
Rounding off the second number to 10 places, 398.99 becomes 398.99000
So the rounded answer is 922.58000 - 398.99000 = 523.59000
Estimated answer: 523
The answer is reasonable.D) 2351.85 + 89 = 2440.85
Rounding off the first number to 100 places, 2351.85 becomes 2351.85000
Rounding off the second number to 10 places, 89 becomes 89.00000
So the rounded answer is 2351.85000 + 89.00000 = 2440.85000
Estimated answer: 2440
The answer is reasonable.
pls help i dont understand
The linear function giving the amount remaining after buying x cups of coffee is given as follows:
A(x) = -3x + 15.
How to obtain a linear function?
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.Each cup of coffee costs $3, hence the slope m is given as follows:
m = -3.
(for each cup purchased, the balance decays by $3).
Hence:
A(x) = -3x + b.
Buying 4 cups of coffee, the balance is of $3, hence the intercept b is obtained as follows:
3 = -3(4) + b
b = 15.
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what is the answer to this f/22=27
a basketball player makes 80% of her free throws. what is the standard deviation of the successes from 100 free throws?
Since 80 out of 100 free throws were successful, the standard deviation of the success rate would be 8, and the standard deviation of a binomial distribution is the square root of (p*q)/n, where p is the probability of success, q is the probability of failure (1-p), and n is the total number of trials.
Standard deviation is calculated as follows:
p*q/n = 0.8*0.2/100 = 0.0016 = 0.04 = 8
Since 80% of 100 equals 80 successful free throws, the standard deviation of the successes from 100 free throws would be 8. The dispersion in a set of data is measured by standard deviation. A binomial distribution's standard deviation is equal to the square root of (p*q)/n, where p is the success probability, q is the failure probability (1-p), and n is the number of trials. Since the success rate in this instance is 80%, p = 0.8, q = 0.2, and n = 100. The standard deviation is then equal to the square root of (p*q/n): (0.8*0.2/100) = (0.0016) = (0.04), which equals 8. Therefore, the standard deviation of the successes from 100 free throws for a basketball player who makes 80% of them would be 8.
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use the rule to complete the table below Multiply by 2 and then add 3
The values in the table are 7, 11, 15, and 19.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We are assuming the table to be:
x value
2 2x2 + 3 = 7
4 4x2 + 3 = 11
6 6x2 + 3 = 15
8 8x2 + 3 = 19
Thus,
The values in the table are 7, 11, 15, and 19.
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Sam depositied 500$ in a new bank account correct answer
Answer:
Bank a/c Dr
To cash a/c
(Being deposited cash into bank)
Complete the following proof.
Answer:
See proof below
Step-by-step explanation:
We will use the SAS condition for congruency of two triangles
SAS (Side-Angle-Side)
If any two sides and the angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule.
In the two triangles ΔHIK and ΔJIK we have
m∠4 = m∠3 (given)
HK ≅ KJ
IK is the common side
So the two sides HK and IK are equal and the included angles ∠4 and ∠3 are also equal
So by SAS, the two triangles are equal
So m∠2 = m∠1
which means IK bisects ∠HIK
Which of the following expressions is equivalent to
x² +7x+12
÷
x+8x+15
for x>0 ?
The expression that is equivalent to x² +7x+12 ÷ x²+8x+15 is (x + 4) ÷ (x + 5)
How to determine the equivalent expressionFrom the question, we have the following parameters that can be used in our computation:
x² +7x+12
÷
x+8x+15
Express properly
So, we have
x² +7x+12 ÷ x²+8x+15
Factorize each expression
This gives
(x + 4)(x + 3) ÷ (x + 5)(x + 3)
Cancel out the common factor
(x + 4) ÷ (x + 5)
Hence, the expression is (x + 4) ÷ (x + 5)
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a cafe lets you order a deli sandwich your way. there are : e1, six choices for bread; e2, four choices for meat: e3, four choices for cheese; and e4, 12 different garnishes (condiments). what is the number of dffferent sandwich possibilities, if you may choose one bread, 0 or 1 meat, 0 or 1 cheese, and from 0 to 12 condiments? (multiplication principle) (not allowing repetition for bread, meat and cheese) (allowing repetition for condiments)
The number of different sandwich possibilities is 1081.
To calculate this, we must use the multiplication principle. We will begin by calculating the number of possibilities for the bread, meat, and cheese. There are 6 different breads, 4 different meats, and 4 different cheeses. So, there are 6 x 4 x 4 = 96 possible combinations for the bread, meat, and cheese. Next, we must calculate the number of possibilities for the condiments. Since we are allowing repetition for the condiments, we can calculate the possibilities by multiplying 12 (the number of condiments) by itself. So, there are 12 x 12 = 144 possibilities for the condiments. Lastly, we can multiply 96 (the number of bread, meat, and cheese combinations) by 144 (the number of condiment combinations). This yields 1081 different sandwich possibilities.
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A piece of sheet metal has dimensions 3 3/4ft x 4 2/3ft. What is the area in square inches?
two factors of 30 that are prime numbers
2 , 3, 5 all are that prime of 30
5×6
