Answers
Answer:
List 3 is the correct sample space.
Related Questions
1. Given the ratio below, find the other two trig ratios for it. Show your work. Make sure to give a rationalized answer.
1) tan θ = (3-√3)/9
2. Find the other two trig ratios for it. Show your work.
2) sin θ = 8/10
Answers
cos^2 θ + sin^2 θ = 1
sin^2 θ = 1 - cos^2 θ
tan θ = sin θ / cos θ
(3-√3)/9 = sin θ / cos θ
We can now substitute sin^2 θ = 1 - cos^2 θ into the equation:
(3-√3)/9 = (sqrt(1-cos^2 θ))/cos θ
(3-√3)/9 = (cos^-1(θ))/cos θ
(3-√3)/9 = (1/cos θ) - cos θ
(3-√3)/9 + cos θ = 1/cos θ
cos θ [(3-√3)/9 + cos θ] = 1
cos θ = 1 / [(3-√3)/9 + cos θ]
cos θ = 1 / [(3-√3)/9 + (3+√3)/9]
cos θ = 1 / (2√3/9)
cos θ = (9/2√3)
Now, we can use the other trigonometric ratios:
sin θ = tan θ cos θ
sin θ = [(3-√3)/9] [(9/2√3)]
sin θ = (3-√3)/6
csc θ = 1/sin θ
csc θ = 1/[(3-√3)/6]
csc θ = (6/(3-√3))
2) We can use the Pythagorean identity to find the value of cos θ:
cos^2 θ + sin^2 θ = 1
cos^2 θ = 1 - sin^2 θ
We know that sin θ = 8/10 = 4/5, so:
cos^2 θ = 1 - (4/5)^2
cos^2 θ = 1 - 16/25
cos^2 θ = 9/25
cos θ = ±3/5
Since sin θ is positive and θ is in the first or second quadrant, we can take cos θ = 3/5:
tan θ = sin θ / cos θ
tan θ = (4/5) / (3/5)
tan θ = 4/3
csc θ = 1/sin θ
csc θ = 1/(8/10)
csc θ = 5/4
sec θ = 1/cos θ
sec θ = 1/(3/5)
sec θ = 5/3
Hoped this helped!
Step-by-step explanation:
1) We can start by finding the adjacent and opposite sides of the right triangle using the Pythagorean theorem. Let x be the length of the adjacent side, then:
tan θ = (3-√3)/9
tan θ = opposite/adjacent
(3-√3)/9 = opposite/x
opposite = (3-√3)x/9
Using Pythagorean theorem:
(adjacent)^2 + (opposite)^2 = (hypotenuse)^2
x^2 + [(3-√3)x/9]^2 = (hypotenuse)^2
x^2 + (9-6√3+3)x^2/81 = (hypotenuse)^2
(82-54√3)x^2/81 = (hypotenuse)^2
We can simplify this expression to find the hypotenuse:
(hypotenuse)^2 = [(82-54√3)/81]x^2
hypotenuse = sqrt[(82-54√3)/81]x
Now we can find the other trig ratios:
cos θ = adjacent/hypotenuse = x/sqrt[(82-54√3)/81]x
cos θ = 1/sqrt[(82-54√3)/81]
cos θ = sqrt[(82+54√3)/81] / [(82-54√3)/81]
cos θ = sqrt(82+54√3) / (82-54√3)
sin θ = opposite/hypotenuse = (3-√3)x/9 / sqrt[(82-54√3)/81]x
sin θ = (3-√3) / sqrt(82-54√3)
2) To find the other trig ratios, we need to first find the adjacent and hypotenuse sides of the right triangle. Let x be the length of the adjacent side, then:
sin θ = opposite/hypotenuse = 8/10
opposite = (8/10)hypotenuse = 0.8hypotenuse
Using Pythagorean theorem:
(adjacent)^2 + (opposite)^2 = (hypotenuse)^2
x^2 + (0.8hypotenuse)^2 = hypotenuse^2
x^2 + 0.64h^2 = h^2
x^2 = 0.36h^2
x = 0.6h
Now we can find the other trig ratios:
cos θ = adjacent/hypotenuse = 0.6h/h = 0.6
tan θ = opposite/adjacent = (8/10)/0.6 = 4/3
cot θ = 1/tan θ = 3/4
.1428 rounded to the nearest thousandth
Answers
8 is bigger then 5 so round up
Rounding a number means changing its value to a number that is closer to a certain level of precision or a certain place value. When we round a number, we usually specify the level of precision or place value that we want the rounded number to have. For example, we might want to round a number to the nearest whole number, to the nearest tenth, or the nearest thousandth.
The process of rounding involves looking at the digit in the place value that we want to round to and using the digit to the right of it to determine whether to round up or down.
Rules of Rounding:
If the digit to the right of the place we are rounding to is 5 or greater, we round up. If the digit to the right of the place we are rounding to is less than 5, we round down.The place values to the right of the decimal point, or the right of one's place in number, are called decimal places. The decimal places are numbered starting from the tenth place, which is one place to the right of the decimal point. The next place to the right is the hundredth place, followed by the thousandth place, and so on.
The third place to the right of zero is the thousandth place. When rounding to the nearest thousandth we have to look at the fourth decimal place to see whether it must be rounded up or down. The fourth digit is an 8 which is greater than 5. So we must round the thousandth place up.
This gives us 0.143, rounded to the nearest thousandth.
Quest
Which describes the correct pairing of DNA bases?
OA. A with G, and C with T
OB. A with A, and G with G
O C. A with T, and C with G
OD. A with C, and T with G
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The correct pairing of DNA bases is: A with T, and C with G. The Option C is correct.
What is the correct pairing of DNA bases?The correct pairing of DNA bases is established by the rules of base pairing in DNA structure which is known as Chargaff's rules.
According to the rule, the adenine (A) pairs with thymine (T) and cytosine (C) pairs with guanine (G); these pairing are based on the complementary nature of the DNA bases where adenine forms two hydrogen bonds with thymine, and cytosine forms three hydrogen bonds with guanine.
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Cindy makes scented candles to give as holiday gifts to 8 friends. She melts 6 bags of wax chips. Each bag contains 20 ounces of wax chips. After melting the wax, she pours it equally into 8 candle jars. How many ounces of wax does Cindy use for each candle?
Answers
15 ounces of wax Cindy use for each candle.
To find out how many ounces of wax Cindy uses for each candle, we need to divide the total amount of melted wax by the number of candles.
First, let's find the total amount of melted wax:
6 bags * 20 ounces/bag = 120 ounces
Cindy melted 120 ounces of wax in total.
Now, let's divide the total amount of melted wax by the number of candles to find out how many ounces of wax Cindy used for each candle:
120 ounces / 8 candles = 15 ounces/candle
Therefore, Cindy used 15 ounces of wax for each candle.
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The upper-left coordinates on a rectangle are (3, -3), and the upper-right coordinates are (7, -3). The rectangle has an area of 16 square units.
Draw a rectangle on the coordinate plane below.
(Khan Academy)
Answers
The coordinates of the rectangle are (3,-3), (3, -7), (7, -7) and (7, -3).
We also know that the distance between the left and right sides of the rectangle is 4 (since the x-coordinate of the right side is 7 and the x-coordinate of the left side is 3). So we have the equation:
4x = 16
Solving for x, we get x = 4. This means that the length of the top and bottom sides of the rectangle is 4 units. The height of the rectangle is 16/4 = 4 units.
Now that we know the length and height of the rectangle, we can draw it on the coordinate plane.
The left side starts at (3, -3) and ends at (3, -7). The right side starts at (7, -3) and ends at (7, -7).
The top side starts at (3, -3) and ends at (7, -3). The bottom side starts at (3, -7) and ends at (7, -7).
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Which set of side measures forms a Pythagorean triple
Answers
Answer:
D
Step-by-step explanation:
D is the only one where A^2+B^2=C^2. Meaning that when 10=A, 24=B, 24 would be equal to C. 10^2=100 24^2=576, 100+576=676, and the sqrt of 676 is 36.
Answer: D
Step-by-step explanation:
D is the only one where A^2+B^2=C^2. Meaning that when 10=A, 24=B, 24 would be equal to C. 10^2=100 24^2=576, 100+576=676, and the sqrt of 676 is 36.
Determine which equations represent a proportional relationship. Select all that apply.
A - y=-x
B -y=9x² +3
C- y=0.5x
D- y=x+7
Answers
Explanation: A relationship is proportional when there is no b in y= mx+b
W/Kx = y
solve for W
please help me
Answers
W = yKx
Explanation:
W/Kx = y
multiply each side by Kx
(Kx) W/Kx = y (Kx)
the Kx on the left cancels out
W = yKx
Om= -4/13
Solve the system of equations.
y=1-2x
4x + 2y = 0
Ono solution
O (1,0)
O infinitely many solutions
O (0,0)
Question 13 of 20
Answers
Answer: No solution.
Step-by-step explanation:
To solve, we will substitute the first equation into the second equation for the value of y.
Given:
y = 1 - 2x
4x + 2y = 0
Substitute:
4x + 2(1 - 2x) = 0
Distribute:
4x + 2 - 4x = 0
Subtract 2 from both sides of the equation:
4x - 4x = -2
0 = -2
We see that the variables cancel out each other, and now we have nothing to solve or continue moving forward within our solution. This means that there are no solutions to this system of equations.
This means that the lines are parallel. We can also see this when we graph the system, see attached. This becomes more clear when we change both of the equations into slope-intercept form. 4x + 2y = 0 becomes y = -2x, which has the same slope as the first equation (again, parallel lines). If they also had the same y-intercept there would be infinitely many solutions, however, they do not.
The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.
Which of the following is the appropriate measure of center for the data, and what is its value?
The mean is the best measure of center, and it equals 19.
The median is the best measure of center, and it equals 4.
The median is the best measure of center, and it equals 19.
The mean is the best measure of center, and it equals 4.
Answers
The IQR is the best measure of variability, and it equals 4.
We have a box plot.
From the box plot, we can see that the box extends from 17 to 21 on the number line, with a line at 19 inside the box.
Then, Q1 is 17 and Q3 is 21.
Now, Interquartile range
= Q3 - Q1
= 21 - 17
= 4
Thus, The IQR is the best measure of variability, and it equals 4.
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4x^2+15x+17=3x^2. Round to the nearest tenth
Answers
A rectangular park is 75 yards wide and 110 yards long.give the length and width of another rectangular park that has the same perimeter but a larger area.
Answers
Answer: Thus, the width of the second park is 92.5 yards, and its length is also 92.5 yards.
Step-by-step explanation: The perimeter of the first rectangular park is:
P = 2L + 2W
P = 2(110 yds) + 2(75 yds)
P = 220 yds + 150 yds
P = 370 yds
Since the second rectangular park has the same perimeter as the first, its perimeter is also 370 yards. Let's call its width "x" and its length "y".
Then, we have:
2x + 2y = 370
Simplifying this equation, we get:
x + y = 185
The area of the second park is:
A = xy
To find the dimensions of the second park with the largest area, we need to maximize this expression subject to the constraint x + y = 185.
One way to do this is to use the method of Lagrange multipliers. However, in this case, we can use a simpler approach based on the fact that the area of a rectangle is maximized when its sides are equal. Therefore, we can set x = y = 185/2 = 92.5.
The probability that an ice cream was cookie dough is 0.8, the probability that it was ordered on a Saturday is 0.5, and the probability that it was cookie dough and was ordered on a Saturday is 0.4.
Find each probability below for a randomly chosen ice cream. Give answers as decimals.
a) cookie dough or was ordered on a Saturday =
b) cookie dough given it was ordered on a Saturday =
Answers
The probabilities are given as follows:
a) cookie dough or was ordered on a Saturday = 0.9.
b) cookie dough given it was ordered on a Saturday = 0.8.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
For item a, we use the and/or probability, as follows:
P(A or B) = P(A) + P(B) - P(A and B).
Hence:
P(A or B) = 0.8 + 0.5 - 0.4
P(A or B) = 0.9.
For item b, we use conditional probability as follows:
P(Cookie dough|Saturday) = P(Cookie Dough and Saturday)/P(Saturday).
P(Cookie dough|Saturday) = 0.4/0.5
P(Cookie dough|Saturday) = 0.8.
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Right triangle ABC is graphed in the xy coordinate plane with vertices at (0,0) , (5, 0) and (5, 12) If is the angle in the triangle at the origin, what is the cos(pi + theta)?
Answers
Answer:
Step-by-step explanation:
ince right triangle ABC is graphed in the xy-coordinate plane with vertices at (0,0), (5,0) and (5,12), we can use the coordinates of the vertices to find the lengths of the sides of the triangle.
The length of side AB is 5 units, the length of side BC is 12 units, and the length of side AC is given by the Pythagorean theorem:
AC^2 = AB^2 + BC^2
AC^2 = 5^2 + 12^2
AC^2 = 169
AC = 13
Therefore, right triangle ABC is a 5-12-13 triangle.
The angle at the origin is opposite to the side of length 12, so it is the angle opposite to the side BC. We can find this angle using the inverse tangent function:
tan(theta) = opposite / adjacent
tan(theta) = 12 / 5
theta = tan^-1(12/5) ≈ 68.2°
Since cos(pi + theta) = -cos(theta), we have:
cos(pi + theta) = -cos(theta) = -cos(tan^-1(12/5))
Using the identity cos(arctan(x)) = 1 / sqrt(1 + x^2), we can simplify this expression:
cos(tan^-1(12/5)) = 1 / sqrt(1 + (12/5)^2) = 5 / 13
Therefore, cos(pi + theta) = -cos(theta) = -cos(tan^-1(12/5)) = -5/13.
one population proportion test: which of the following situations involves testing a claim about a single population proportion? a recent study estimated that 20% of all college students in the united states smoke. the head of health services at goodheart university suspects that the proportion of smokers may be lower there. a certain prescription allergy medicine is supposed to contain an average of 245 parts per million (ppm) of a certain chemical. the manufacturer takes a sample to check whether the mean concentration is the required 245 ppm or not. according to the college board, which administers the sat exam, the average score for females is lower than for males among graduating seniors in 2011. an educational researcher wants to test whether this is also true in her school district. a statistics student at tacoma community colleges wants to determine whether there is a difference in
Answers
The situation involving testing a claim about a single population proportion is: "The head of health services at Goodheart University suspects that the proportion of smokers may be lower there."
In this situation, the researcher is interested in testing a claim about the proportion of smokers in a single population, namely the population of college students at Goodheart University. The researcher suspects that the proportion of smokers at Goodheart University may be lower than the estimated proportion of 20% for all college students in the United States.
To test this claim, the researcher would conduct a hypothesis test for a single population proportion, where the null hypothesis would be that the proportion of smokers at Goodheart University is equal to 20%, and the alternative hypothesis would be that the proportion is less than 20%.
Based on the sample data, the researcher would then either reject or fail to reject the null hypothesis, and make conclusions about whether there is evidence to support the claim that the proportion of smokers at Goodheart University is lower than the national average.
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The French club is sponsoring a bake sale to raise at least $275. How many pastries must they sell at $3.55 each in order to reach their goal ?
At least 77
At least 976
At least 977
At least 78
Answers
Answer:
The answer to your problem is, 78
Step-by-step explanation:
Let’s divide in order to find the answer.
Round 3.55 to the nearest whole = 4
275 / 4
= 68.75
But if we instead of “ 4 “ we can add 3.55
275 / 3.55
= 77.46
Since it is a little over 77. We round it to 78. Due to it be measured in money
Thus the answer to your problem is, 78
function notation. help please
Answers
Answer: i got no answer.
Step-by-step explanation:
lol sorry im just putting this for the points
y = –3x – 8 y 4x – 3y + 15 = 0
Answers
Answer:
-8xy^4 -3x -3y+ 15
The solution to the system of equations is (-3, 1).
The system of equation is given as:
y = –3x – 8 ....(i)
4x – 3y + 15 = 0 ....(i)
Substitute the value of equation (i) into (ii):
4x – 3(–3x – 8) + 15 = 0
4x + 9x + 24 + 15 = 0
13x = - 24 - 15
13x = -39
Divided by 13 both sides of the equation,
x = -3
Substitute the value of x = -3 into equation (i),
y = –3(-3) – 8
y = 9 - 8
y = 1
Thus, the solution to the system of equations is (-3, 1).
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The complete question is as follows:
Find the solution to the system of equations:
y = –3x – 8 ....(i)
4x – 3y + 15 = 0 ....(i)
Part A
Solve 83x + 1 = 16. Round to the nearest thousandth, if necessary.
x =
Part B
Find the key features of f(x) = 83x + 1.
y-intercept:
asymptote: y =
Answers
The solution to the equation 83x + 1 = 16, rounded to the nearest thousandth, is x = 0.181, the key features of the function f(x) = 83x + 1 are; y-intercept; (0, 1), and Asymptote; None.
To solve 83x + 1 = 16, we need to isolate x on one side of the equation. We can do this by subtracting 1 from both sides and then dividing by 83;
83x + 1 - 1 = 16 - 1
83x = 15
x = 15/83
Rounded to the nearest thousandth, x is approximately 0.181.
Therefore, the solution to the equation 83x + 1 = 16, rounded to the nearest thousandth, is x = 0.181.
The function f(x) = 83x + 1 is a linear function in the form y = mx + b, where m is the slope and b is the y-intercept. Therefore;
The y-intercept is (0, 1), since b = 1.
The function does not have an asymptote, since it is a linear function and it does not approach any particular value as x increases or decreases.
So the key features of the function f(x) = 83x + 1 are;
y-intercept; (0, 1)
Asymptote; None.
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*El área de una caja de arena rectangular de la escuela de David es de 108 pies cuadrados.
La caja de arena tiene un ancho de 9 pies.
¿Cuánto mide de largo, en pies, la caja de arena?
Answers
Answer:
12 pies
Step-by-step explanation:
Espanol:
Sabemos que el área es 108 y un lado, el ancho, es 9.
Esto significa que podemos dividir 108/9 para obtener la longitud, ya que la fórmula es:
[tex]A=lw[/tex] (ingles)
[tex]A=la[/tex](espanol)
Podemos sustituir en 108 y 9 en esta ecuación:
108=9a
Dividir ambos lados por 9:
a=12
12 pies
¡Espero que esto ayude! :)
Answer each of the following ?
Answers
The factors of the quadratic equation are 6 and 7.
A polynomial equation of degree 2 is a quadratic equation, indicating that the maximum exponent of the variable is 2.
One, two real solutions, or two complex solutions can be found for quadratic equations. There are several ways to find the answers, including factoring, solving the square, and applying the quadratic formula.
The quadratic equation can be solved as,
P² - 13P + 42=0
P² -6P - 7P + 42 =0
P(P-6) -7(P-6) = 0
( P - 6) ( P - 7) = 0
P = 6 and P = 7
Therefore, the solution of the quadratic equation is P = 6 and P = 7.
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help me asap pls and thank you
Answers
The probability of drawing 1 red marble and 1 blue marble from the given boxes is 2/7.
The probability of drawing 1 red marble and 1 blue marble from the given boxes can be calculated using the concept of probability and sample space. The probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes. The sample space can be defined as the set of all possible outcomes.
Given, a box contains 4 white marbles and 3 red marbles. A second box has 3 white marbles and 6 blue marbles. If one marble is drawn from each box, the probability that 1 red marble and 1 blue marble will be drawn can be calculated as follows:
The total number of possible outcomes is given by the product of the number of marbles in each box:
Total number of possible outcomes = 7 × 9 = 63
The number of favorable outcomes can be calculated by considering all possible cases where one red marble is drawn from the first box and one blue marble is drawn from the second box.
The number of ways to draw one red marble from the first box = 3
The number of ways to draw one blue marble from the second box = 6
Therefore, the number of favorable outcomes = 3 × 6 = 18
Hence, the probability of drawing 1 red marble and 1 blue marble can be given as follows:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 18/63
The probability of drawing 1 red marble and 1 blue marble from the given boxes is 2/7.
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complete question:
a box contains 4 white marbles and 3 red marbles. a second box has 3 white marbles and 6 blue marbles. if one marble is drawn from each box, what is the probability that 1 red marble and 1 blue marblle will be drawn
IQ scores are normally distributed, with a mean of 100 and a standard deviation of 15. What is the minimum score required to be considered as a part of the 2%?
Answers
The minimum IQ score required to be considered as a part of the 2% is approximately 68.25, obtained by converting the score into a standard normal distribution and using the z-score for the 2nd percentile
What is percentile?A percentile is a measure used in statistics to indicate the percentage of data values that fall below a particular value in a distribution, often used to describe test scores, rankings, and other quantitative data.
What is Standard Normal Distribution?The standard normal distribution is a specific normal distribution with a mean of 0 and a standard deviation of 1, used to standardize any normal distribution to compare and analyze data from different sources.
According to the given information:
To find the minimum IQ score required to be considered as a part of the 2%, we need to use the standard normal distribution table.
First, we need to convert the given distribution with a mean of 100 and a standard deviation of 15 into a standard normal distribution with a mean of 0 and a standard deviation of 1. We can do this by using the formula:
z = (x - μ) / σ
where x is the IQ score, μ is the mean (100), and σ is the standard deviation (15).
Substituting the values, we get:
z = (x - 100) / 15
Now, we need to find the z-score corresponding to the 2nd percentile, which is the value below which 2% of the scores fall. From the standard normal distribution table, the z-score for the 2nd percentile is approximately -2.05.
Substituting this value into the formula:
-2.05 = (x - 100) / 15
Solving for x, we get:
x = -2.05 x 15 + 100
x ≈ 68.25
Therefore, the minimum IQ score required to be considered as a part of the 2% is approximately 68.25.
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Find the probability of drawing
the desired marbles.
2 Pink
No Replacement
What's the probability of
drawing another pink marble
on the second draw?
2
1/10/17
X
?
Answers
The probability of drawing another pink marble on the second draw is 1/9
Find the probability of drawing a pink marble on the second drawFrom the question, we have the following parameters that can be used in our computation:
The marbles
The probability of the first pink is
P = 2/10
Given that the selection is without replacement
So, there are 9 marbles left and 1 pink marble left
So, the probability of the second pink is
P = 1/9
So, we have
Probability of pink on the second draw = 1/9
Hence, the probability of the second draw is 1/9
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Find the greatest common factor of these two expressions
Answers
The greatest common factor of these two expressions is 8[tex]y^{5} x^{2}[/tex],
The two expressions given are:
16[tex]y^{8} x^{2} u^{3}[/tex]
8[tex]y^{5} x^{4}[/tex]
Now, we have to find the greatest common factor of these two expressions. Firstly, we will find the factors of these two expressions and then the greatest among them.
16[tex]y^{8} x^{2} u^{3}[/tex] = 8[tex]y^{5} x^{2}[/tex] × [tex]2y^{3} u^{3}[/tex]
8[tex]y^{5} x^{4}[/tex] = 8[tex]y^{5} x^{2}[/tex] × [tex]x^{2}[/tex]
So, the common greatest factor between both of these is 8[tex]y^{5} x^{2}[/tex]. Hence, the answer is 8[tex]y^{5} x^{2}[/tex].
A set's greatest common factor (GCF, GCD, or HCF) is the largest positive integer that divides evenly into all numbers with zero residual.
To find the GCF through factoring, make a list of all the factors of each integer or use a Factors Calculator. Whole number factors are numbers that divide evenly and leave no residual. Given a list of common factors for each integer, the GCF is the greatest number that appears on all of them.
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Lucas has 2.67 quarts of motor oil left in his garage to use for an oil change. The vehicle’s engine requires 5 quarts. How much more oil does he need?
A 1.67 quarts
B 2.33 quarts
C 5.67 quarts
D 10.67 quarts
Answers
5.00= 2.67+ x
-2.67 -2.67
2.33=X
Enter the letter of the graphed
function.
a.y= (x + 2)(x - 1)(x-3)
b.y = (x + 2)(x - 1)(x - 3)²
c. y = (x + 2)(x - 3)(x - 1)²
d.y= (x - 1)(x − 3)(x + 2)²
e.y = (x - 1)(x − 3)(x + 2)³
-
-
Enter
Answers
Answer: B
Step-by-step explanation:
It bounces off of x=3 take opposite sign when you put in parenthesis
(x-3)² the bounce makes it squared on outside
(x-1) goes through 1
(x+2) goes through -2
put it togehter
(x-3)²(x-1)(x+2) B
Malik just got hired for a new job and will make 96,000 in his first year Mallon was told that he can expect to get raises of 5,000 every night forward
Answers
The amount he will receive as his salary in the 18th year of working at this job will be $107,500
What is Rate?
A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.When two or more similar amounts or numbers are being compared using the same units, a ratio is utilized.
The amount of money Jamar made in his first year= $48,000
The salary rise per year = $3,500
The amount of money he will make for the extra 17 years is
= 17 × $3,500
= $59,500
he will receive as his salary in the 18th year working at this job = $48,000 + $59,500 = $107,500
Therefore the amount he will receive as his salary in the 18th year of working at this job will be $107,500
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Help me please stuck on this question
Answers
The number of time spent in each class is 1 1/15 ( optionA)
What is word problem?A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math.
The total number of hours spend in the class is calculated as;
7 3/5 -(1/2+7/10)
38/5 - (1/2 +7/10)
38/5 - (5+7)/10
38/5 - 12/10
=( 76-12)/10
= 64/10 hours
therefore since he attended six classes,
the number of time spent In class is calculated as ;
64/10÷6
= 64/10 × 1/6
= 64/60
= 16/15
= 1 1/15 hours
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pls help with a detailed explanation!
