Answer:
B
Step-by-step explanation:
I think that may be right if it is have a good day,:))
The fox population in a certain region has a continuous growth rate of 4 percent per year. It is estimated that the population in the year 2000 was 21400.
(a) Find a function that models the population
t
years after 2000 (
t
=
0
for 2000
Answer:
Step-by-step explanation:
Let P(t) be the fox population t years after 2000. We know that the population has a continuous growth rate of 4% per year, which means that the population increases by a factor of 1.04 each year. Therefore, we can model the population as:
P(t) = 21400 * 1.04^t
Here, we start with the population in the year 2000 (21400) and multiply it by 1.04 raised to the power of the number of years after 2000 (t).
For example, if we want to find the population in the year 2015 (15 years after 2000), we can plug t = 15 into the equation:
P(15) = 21400 * 1.04^15
= 21400 * 1.618
= 34694.8
Therefore, we can expect the fox population to be approximately 34,695 in the year 2015.
We often use the phrase "to the power of" when talking about exponents. For example, x¹³ is
referred to as x to the power of 13. Why do you think that they would name it like this? How does
increasing the exponent of a number increase its "power"?
Hint: Use a number as an example. (for instance 2) if you keep increasing the power, what happens
to the answer? (i.e. compare 2¹, 22, 23, 24, ..., 213, 214, ... until you see the answer you are looking
for!)
The phrase, raise to the power of is used when referring to exponents because the power or strength increases with the addition of more numbers. For instance, 2 raised to the power of 1 is not as strong as 2 raised to the power of 100.
Why the phrase is used?The usage of this phrase stems from the fact that numbers tend to increase in strength as they are raised to an increasing number of figures.
The strength that numbers carry differs as they increase or decrease. Just as 10 is greater than 1 or 2, so will different powers of exponents differ in strengths.
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Companies are interested in the demographics of dose who listen to the radio programs they poor. A radio station has determined that only 20% of listeners phoning into a program are male. During a particular week, 200 calls are received by this program.
a, What is the probability that at least 50 of these 200 callers are male?
b, What is the probability that more than half of these 200 callers are female
The probability that at least 50 of these 200 callers are male is approximately 0.0266 and the probability that more than half of these 200 callers are female is 0.
Let X be the number of male callers among 200 callers.
X follows a binomial distribution with n=200 and p=0.2. We need to find P(X ≥ 50).
μ = np = 200 × 0.2 = 40
σ = √np(1-p)) = √200 × 0.2 × 0.8)
= 5.65
P(X ≥ 50) = P(Z ≥ (50-0.5-40)/5.65)
= P(Z ≥ 1.94)
=0.0266
Therefore, the probability that at least 50 of these 200 callers are male is approximately 0.0266.
b) Let Y be the number of female callers among 200 callers.
Y follows a binomial distribution with n=200 and p=0.8
We need to find P(Y > 100).
P(Y > 100) = P(Z > (100+0.5-40)/5.65)
= P(Z > 11.23) =0
Therefore, the probability that more than half of these 200 callers are female is 0.
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Pls help
A storage bin has the shape of a cylinder with a
conical top. What is the volume of the storage bin
Answer:
V = π(5.1^2)(7.1) + (1/3)π(5.1^2)(8.6)
= 184.671π + 74.562π
= 259.233π cubic feet
= about 814.4 cubic feet
a student in a foreign language progam learns 15 new word each week which graph best represents the relationship between x the number of weeks the student has been in the progam and y the total number of new words the student has learned
The proportional relationship y = 15x represents the relationship between the variables, and it's graph is given by the image presented at the end of the answer.
What is a proportional relationship?A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.
The equation that defines the proportional relationship is given as follows:
y = kx.
In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.
A student in a foreign language program learns 15 new word each week, hence the constant is given as follows:
k = 15.
Meaning that the equation is:
y = 15x.
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During the worst periods of hyperinflation in a certain country, the price of food increased at a rate of 10% per month.
State whether this increase was linear or exponential. If your food bill was $110 in one month during this period, what
was it three months later?
Step-by-step explanation:
Exponetial (compounding ) growth
New Price = original price ( 1 + .10)^n n is months .10 is 10% per month
= $ 110 ( 1.10)^3 = $ 146 . 41 three months later
The acute angle with vertex Q measure 60 degrees. Use an equation to find the keasure if the obtuse angle with vertex P
The measure of the obtuse angle with vertex P is 30 degrees.
We have,
If there is an acute angle with vertex Q measuring 60 degrees, then there must be a corresponding obtuse angle with vertex P that shares the same side as angle Q.
Let's call the measure of this obtuse angle x.
By the angle sum property of triangles, the sum of the measures of the three angles in any triangle is always 180 degrees.
Therefore, we can write the equation:
60 degrees + 90 degrees + x = 180 degrees
Simplifying this equation, we get:
x = 180 degrees - 60 degrees - 90 degrees = 30 degrees
Therefore,
The measure of the obtuse angle with vertex P is 30 degrees.
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Find an equation of the line passing through the given points. Use function notation to write the equation.
(−2,−3) and (−4,−4)
Answer:
Step-by-step explanation:
Let A(-2,-3), B(-4,-4).
Line f(x) = y = ax + b (C)
The line passes through these points so when substituting their coordinates into (C), we get:
-3 = -2a + b
-4 = -4a + b
Solving this set of equations gives us a = 1/2; b = -2.
So the equation of this line is [tex]f(x)=\frac{1}{2}x-2[/tex]
15 mor than twice a number
If we use the variable n to represent the unknown number, then "15 more than twice a number" can be written as:
2n + 15
Answer:
The answer is 15+2n
Step-by-step explanation:
15 more than twice a number =15+2n
pls help due today, select the correct option
Answer: 2b.[tex]\frac{1}{a^{18} }[/tex]
Olga Semargl's medical care bills for a recent illness were $4,620. Her major medical policy did not
cover $312 of the bill. Olga's policy had a coinsurance feature that paid 80% of all covered expenses
over a $500 deductible. What was the amount paid by the major medical policy?
The amount paid by the major medical policy is $3,046.40.
First, we need to calculate the covered expenses before the coinsurance feature comes into play. Since Olga's major medical policy did not cover $312 of the bill, the covered expenses will be:
Covered expenses = Total bill - Amount not covered
Covered expenses = $4,620 - $312
Covered expenses = $4,308
Next, we need to calculate the amount of the covered expenses that is subject to the coinsurance feature. Since Olga's policy has a $500 deductible, the covered expenses subject to coinsurance will be:
Covered expenses subject to coinsurance = Covered expenses - Deductible
Covered expenses subject to coinsurance = $4,308 - $500
Covered expenses subject to coinsurance = $3,808
The coinsurance feature pays 80% of the covered expenses subject to coinsurance, so the amount paid by the major medical policy will be:
Amount paid = Coinsurance rate x Covered expenses subject to coinsurance
Amount paid = 0.8 x $3,808
Amount paid = $3,046.40
Therefore, the amount paid by the major medical policy is $3,046.40.
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1. An account is opened with an initial deposit of $6,500
and earns 3.6% interest compounded semi-annually.
What will the account be worth in 20 years?
The balance of the account after 20 years is given as follows:
A(20) = $13,268.58.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.The parameters for this problem are given as follows:
P = 6500, r = 0.036, n = 2, t = 20.
Hence the balance of the account after 20 years is given as follows:
A(20) = 6500 x (1 + 0.036/2)^(2 x 20)
A(20) = $13,268.58.
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GIVING BRINLIET
Question
The set shows the absolute values of a set of rational numbers in increasing order.
{0.4, 1, 212
, 4, 5.3, 7, 9.8}
Can you determine the order of the rational numbers themselves? Explain why.
Responses
A No, it is not possible to determine the order of the rational numbers because we only know the signs of the rational numbers.No, it is not possible to determine the order of the rational numbers because we only know the signs of the rational numbers.
B Yes, it is possible to determine the order of the rational numbers because we know the size of the rational numbers.Yes, it is possible to determine the order of the rational numbers because we know the size of the rational numbers.
C No, it is not possible to determine the order of the rational numbers because we do not know the signs of the rational numbers.No, it is not possible to determine the order of the rational numbers because we do not know the signs of the rational numbers.
D Yes, it is possible to determine the order of the rational numbers because we know that all of the rational numbers are positive.
Answer:
C. No, it is not possible to determine the order of the rational numbers because we do not know the signs of the rational numbers.
Quiz
2
Active
X
0
5
10
15
3
y
15
6050
10
5
6
7
8
9
10
What is the correlation coefficient for the data shown in
the table?
O 1
O-1
O5
10
TIME REMAIN
59:45
2
The correlation coefficient for the data shown in the table is: B. -1.
How to determine the correlation coefficient for the data shown?In order to calculate or determine the correlation coefficient for the data shown in the table (see attachment), we would have to determine the slope of the line based on the points as follows;
In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (10 - 15)/(5 - 0)
Slope (m) = -5/5
Slope (m) = -1.
Slope (m) = (5 - 10)/(10 - 5)
Slope (m) = -5/5
Slope (m) = -1.
In this context, we can reasonably infer and logically deduce that there is a negative correlation between the data and the correlation coefficient is -1.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
what is the area of triangle ADC, if A is (-1, 3), D is (-1, 7), and C is (0, 4)?
Answer:
e
Step-by-step explanation:
g
In art class students are mixing In art class students are mixing blue and red paint to make purple paint. Bo mixes 3 cups of blue paint and 4 cups of red paint. Latanya mixes 2 cups of blue paint and 3 cups of red paint. Use Bo and Latanya’s percent of blue paint to determine whose purple paint will be bluer.blue and red paint to make purple paint. Bo mixes 3 cups of blue paint and 4 cups of red paint. Latanya mixes 2 cups of blue paint and 3 cups of red paint. Use Bo and Latanya’s percent of blue paint to determine whose purple paint will be bluer.
Based on the percentage of blue paint to red paint, Bo's purple paint will be bluer.
What is the percentage?The percentage refers to the quotient of one value (proportion of blue paints) compared to another (the sum of blue and red paints).
Percentages are ratios expressed over 100.
Blue Red Ratio (%) of Blue to Red
Bo's paints 3 4 3:4 = 43% (3/7 x 100)
Sum of ratios = 7
Latanya's paints 2 3 2:3 = 40% (2/5 x 100)
Sum of ratios = 5
Thus, based on the ratios or percentages of to red paints, Bo's purple paint will be bluer than Latanya's.
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I just need the answer for the blank space, thank you.
At a drug research testing facility:
The population mean is 240 minutes.The population standard deviation is 40 minutes.The sample size is 10 people.Yes, it is given that the population distribution is normally distributed.The mean of the sample means will also be 240 minutes, which is the same as the population mean.The standard deviation of the sample means is (population standard deviation)/(sqrt(sample size)) = 40/(√(10)) = 12.65 minutes.What are the probabilities?To find the probability that the drug will wear off in less than 200 minutes:
The z-score is (200-240)/40 = -1.
Using a standard normal distribution table or calculator, P(z < -1) = 0.1587. Therefore, the requested probability is P(x < 200) = 0.1587.
To find the probability that the drug will wear off after 220 minutes:
The z-score is (220-240)/40 = -0.5.
Using a standard normal distribution table or calculator, P(z < -0.5) = 0.3085. Therefore, the requested probability is P(x > 220) = 0.3085.
To find the probability that the drug will wear off between 200 and 220 minutes:
Using the z-scores calculated above, find the area between them on the standard normal distribution. P(-1 < z < -0.5) = 0.1867.
Therefore, the requested probability is P(200 < x < 220) = 0.1867.
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arch
A group of students is given a 10 by 10 grid to cut into
individual unit squares. The challenge is to create two
squares using all of the unit squares. Their teacher
states that after the two new squares are formed, one
should have a side length two units greater than the
other.
Which equation represents x, the side length of the
greater square?
O x² + (x-2)2 = 10
O x² + 2x² = 10
O x² + (x-2)2 = 100
Ox²+2x² = 100
The equation that represents x, the side length of the greater square is this: x² + (x-2)²= 100.
Which equation represents x?The equation that represents x, the greater side length is x² + (x-2)²= 100. According to the instruction from the teacher, one of the squares should have a side that is two units greater than the first side.
So, if the first side was x, then the new side will be x2 and the same will be true of side, x -2 which now becomes (x-2)². Of course, multiplying a side 10 by 10 will also give 100. So, the correct equation will be C.
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Why is the following true?
rank(AB)
is less than or equal to
min {rank(A), rank(B)}.
Thank you in advance.
For any matrices A and B, where A is a m x n matrix and B is a n x p matrix, the inequality rank(AB) ≤ min rank(A), rank(B) holds.
To see why this is so, examine the rank of a matrix, which is defined as the matrix's greatest number of linearly independent rows or columns.
In other words, it is the dimension of the vector space covered by the matrix's rows or columns.
When we multiply matrices A and B to obtain AB, we get a matrix with m rows and p columns.
The dot product of a row from A and a column from B yields each element in the matrix.
Because the rows and columns of AB are linear combinations of the rows and columns of A and B, the rank of AB is at most the minimum of the rank of A and the rank of B.
If either A or B has a lower rank than the other, there will be some linear dependency between the rows or columns of one of the matrices, which will carry over to AB. This indicates that AB's rank will be strictly less than the bigger matrix's rank.
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The world record in the long jump is 29 feet 4 inches. How many inches short of 10 yards is the record long jump?
The record long jump is 8 inches short of 10 yards.
First, we need to convert 10 yards to inches. Since 1 yard = 3 feet and 1 foot = 12 inches, we have:
10 yards = 30 feet
= 30 x 12 inches
= 360 inches
To find how many inches short of 10 yards the long jump is, we can subtract the length of the long jump from 360 inches:
360 inches - 29 feet 4 inches
= 360 inches - (29 x 12 + 4) inches
= 360 inches - 352 inches
= 8 inches
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18. The following table shows the number of motor registration and the sales of "Gorkhali Motor Tyres" by a whole-sale dealer in Kathmandu for the term of 10 years. Years: 2 3 4 5 6 7 62 65 70 48 53 73 Motor registration in (000 nos.) No. of tyres sold in (000 nos.) 1 60 68 60 8 9 10 65 82 72 62 80 40 52 62 60 81 85 (a) Find the coefficient of correlation between the motor registration and number of tyres to sold. (b) Interpret your result. (c) Test the significance of the result. (d) Compute the two regression coefficients. (e) Estimate the number of tyres to be sold when the expected motor registration is 92,000?
The regression equation is:
y = 20.85 + 0.735 * x
How to solveYear Motor registration (000 nos.) No. of tyres sold (000 nos.)
2 62 65
3 65 70
4 48 53
5 53 73
6 60 68
7 68 60
8 60 8
9 9 10
10 65 82
11 72 62
12 62 80
13 40 52
(a) In order to ascertain the coefficient of correlation between the registration of the motor and the number of tires sold, we can apply the following formula:
r = Σ[(xi - x_mean)(yi - y_mean)] / √[Σ(xi - x_mean)^2 * Σ(yi - y_mean)^2].
To do this, we need to determine the mean values for the motor registration (x) and the number of tyres purchased (y).
[tex]x_m_e_a_n = (62 + 65 + 48 + 53 + 60 + 68 + 60 + 9 + 65 + 72 + 62 + 40) / 12 = 664 / 12 = 55.33\\y_m_e_a_n = (65 + 70 + 53 + 73 + 68 + 60 + 8 + 10 + 82 + 62 + 80 + 52) / 12 = 733 / 12 = 61.08[/tex]
Now, we can calculate the required sums for the correlation formula:
Σ(xi - x_mean) = -39
Σ(yi - y_mean) = -39
Σ(xi - x_mean)^2 =3543
Σ(yi - y_mean)^2 = 6649
Σ[(xi - x_mean)(yi - y_mean)] = 2604
Now, we can calculate the correlation coefficient:
r = 2604 / √(3543 * 6649) ≈ 0.556
(b) Interpret your result:
With a correlation coefficient, r, between -1 and 1 going up to 0.556, it shows up as a significant positive relationship.
So when the number of car registrations augments, the sales of tires will also go up.
(c) Test the significance of the result:
As the t-statistic is listed as 1.934, we can analyze it using the critical t-value from a t-distribution table which is around 2.228.
Consequently, since the t-statistic (1.934) is lower than the critical t-value (2.228), the correlation between them is not statistically significant at the 0.05 level.
(d) Compute the two regression coefficients:
The two regression coefficients can be calculated using the following formulas:
b1 = Σ[(xi - x_mean)(yi - y_mean)] / Σ(xi - x_mean)^2
b0 = y_mean - b1 * x_mean
Using the previously calculated values:
b1 = 2604 / 3543 ≈ 0.735
b0 = 61.08 - 0.735 * 55.33 ≈ 20.85
The regression equation is:
y = 20.85 + 0.735 * x
(e) Estimate the number of tyres to be sold when the expected motor registration is 92,000:
Using the regression equation, we can predict the number of tyres to be sold when the expected motor registration is 92,000 (92 in thousands):
y = 20.85 + 0.735 * 92 ≈ 87.81
We estimate that when the expected motor registration is 92,000, approximately 87,810 tyres will be sold.
It should be stated that the relationship was not considered to be statistically relevant so care is advised.
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Luc is playing a trivia game with multiple choice questions. He runs out of time and needs to guess on the last 2 22 questions. Each question has 4 4
The requried probability that Luc gets both questions correct is 1/16 or approximately 0.0625.
The probability of guessing a single question correctly is 1/4, since there are 4 answer choices and only 1 is correct. Since the questions are independent, the probability of guessing both questions correctly is the product of the probability of guessing each question correctly.
Therefore, the probability that Luc gets both questions correct is:
P(both correct) = P(first correct) * P(second correct)
P(both correct) = (1/4) * (1/4)
P(both correct) = 1/16
Thus, the probability that Luc gets both questions correct is 1/16 or approximately 0.0625.
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The graph to the right is the uniform probability density function for a friend who is x minutes late. (a) Find the probability that the friend is between 10 and 30 minutes late. (b) It is 10 A.M. There is a 20% probability the friend will arrive within how many minutes? part a) what is the probability that the friend is between 10 and 30 minutes late_?
The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.
Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.
The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.
The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.
Therefore, the probability of the friend being between 10 and 30 minutes late is:
P(10 < x < 30) = (height of rectangle) x (width of rectangle)
= (1/30) x 20
= 2/3
≈ 0.6667
So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.
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S is the midpoint of RT. R has the coordinates (13,-8), and S has the coordinates (9,5). Find the coordinates of T.
Please help (Image Attached)
The coordinates of endpoint T are (5,18).
What is the coordinates of point T?The midpoint formula is expressed as:
Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]
Where (x₁, y₁) and (x₂, y₂) are the coordinates of the two endpoints of the line segment.
Let's call the coordinates of point T (x,y).
Since S is the midpoint of RT, we can use the midpoint formula to find the coordinates of S:
Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]
((13+x)/2, (-8+y)/2) = (9,5)
Solving for x:
(13+x)/2 = 9
13 + x = 2 × 9
13 + x = 18
x = 18 - 13
x = 5
Solving for y, we get:
(-8+y)/2) = 5
-8 + y = 5 × 2
-8 + y = 10
y = 10 + 8
y = 18
Therefore, the coordinates are (5,18).
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Which is a function
For each relation, we would determine whether or not it is a function as follows;
Relation 1 is: B. not a function
Relation 2 is: A. function.
Relation 3 is: B. not a function
Relation 4 is: A. a function.
How to determine the relations that represent functions?In Mathematics and Geometry, a function is generally used for uniquely mapping an independent value (domain or input variable) to a dependent value (range or output variable).
This ultimately implies that, an independent value (domain) represents the value on the x-coordinate of a cartesian coordinate while a dependent value (range) represents the value on the y-coordinate of a cartesian coordinate.
Based on relations 1 and 3, we can logically deduce that they do not represent a function because their independent value (domain) has more than one dependent value (range).
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A 105 kg halfback runs north and is tackled by a 156 kg opponent running south at 6 m/s. The collision is perfectly inelastic. Just after the tackle, both players move at a velocity of 3 m/s north. Calculate the velocity (m/s) of the 105 kg player just before the tackle. Answer to one decimal place.
We can solve this problem using the conservation of momentum and the law of conservation of energy. Here's how:
Let v be the velocity of the 105 kg player just before the tackle. Then the velocity of the 156 kg player just before the tackle is -6 m/s, since he is running south. After the tackle, the two players move at a velocity of 3 m/s north, so we have:
Total momentum before = Total momentum after
(105 kg)(v) + (156 kg)(-6 m/s) = (105 kg + 156 kg)(3 m/s)
Simplifying and solving for v, we get:
v = (105 kg + 156 kg)(3 m/s) + (156 kg)(6 m/s) / 105 kg
v = 2.85 m/s
Therefore, the velocity of the 105 kg player just before the tackle was 2.85 m/s north.
I NEED HELP FINDING THE ANNUAL INTEREST RATE!!
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$975\\ r=rate\to \text{\LARGE 5.7\%}\to \frac{5.7}{100}\dotfill &0.057\\ n= \begin{array}{llll} \textit{times it compounds per year} \end{array}\dotfill &1\\ t=years \end{cases} \\\\\\ A = 975\left(1+\frac{0.057}{1}\right)^{1\cdot t} \implies A = 975(1.057)^t[/tex]
Hawa models a can of ground coffee as a right cylinder. She measures its radius as
3/4 in and its volume as 8 cubic inches. Find the height of the can in inches. Round your answer to the nearest tenth if necessary
The height of the can in inches is 44.68 inches
Finding the height of the can in inches.From the question, we have the following parameters that can be used in our computation:
Volume = 8 cubic inches
Radius = 3/4 inches
The volume of a cylinder is calculated as
V = πr²h
substitute the known values in the above equation, so, we have the following representation
π * (3/4)²h = 8
So, we have
h = 8π/[(3/4)²]
Evaluate
h = 44.68
Hence, the height of the can in inches is 44.68 inches
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Need some help I’m stuck
Below are the true and false results for the number sentence;
1. 6x = 48 when x = 6 is false
2. 6x = 48 when x = 8 is True
3. x/2 ≥ 3 when x = 6 is True
4. x/2 ≥ 3 when x = 8 is True
5. x < 8 when x = 6 is true
6. x < 8 when x = 8 is False
7. 5x ≤ 30 when x = 6 is True
8. 5x ≤ 30 when x = 8 is False
How do we solve for the number sentences?The solution to the number sentence are;
1. 6 x 6 = 36, not 48.
2. 6 x 8 = 48
3. 6/2 = 3. therefore it fits the equal or greater sign
4. 8/2 = 4. it fits the greater or equal sign
5. if x is 6, 6 is less than 8. which makes the number sentence true
6. if x is 8, it is therefore not less than 8 but equal.
7. 5 x 6 is 30. Therefore 30 is not less than 30 but equal
8. 5 x 8 is 48. 48 is not less than or equal to 30
The answers provided are in reference to the questions below;
In each row of the table, select True or false if the number substituted for x results in a true or false number sentence
True False
6x = 48 when x = 6
6x = 48 when x = 8
x/2 ≥ 3 when x = 6
x/2 ≥ 3 when x = 8
x < 8 when x = 6
x < 8 when x = 8
5x < 30 when x = 6
5x < 30 when x = 8
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Equivalent fractions are those that simplify to the same fraction.
Provide 3 equivalent fractions for the fraction 9/12.
Answer:
[tex]\frac{3}{4} = \frac{6}{8} = \frac{9}{12} = \frac{18}{24} [/tex]
