I need help on this question
3n + 2 = 17
Answers
Answer:
The value of n is 5.
Step-by-step explanation:
Concept :
Here, we will use the below following steps to find a solution using the transposition method:
Step 1 :- we will Identify the variables and constants in the given simple equation.Step 2 :- then we Simplify the equation in LHS and RHS.Step 3 :- Transpose or shift the term on the other side to solve the equation further simplest.Step 4 :- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.Step 5 :- Then the result will be the solution for the given linear equation.Solution :
By using the transposition method. we get,
\({\dashrightarrow{\tt{3n + 2 = 17}}}\)
\({\dashrightarrow{\tt{3n= 17 - 2}}}\)
\({\dashrightarrow{\tt{3n= 15}}}\)
\({\dashrightarrow{\tt{n= 15 \div 3}}}\)
\({\dashrightarrow{\tt{n= \dfrac{15}{3}}}}\)
\({\dashrightarrow{\tt{n= \cancel{\dfrac{15}{3}}}}}\)
\({\dashrightarrow{\underline{\boxed{\tt{\red{n= 5}}}}}}\)
Hence, the value of n is 5.
\(\rule{300}{1.5}\)
Solve : 3n + 2 = 17
Answer:-n = 5
Explanation:-=> 3n + 2 = 17
=> 3n = 17-2
=> 3n = 15
=> n = 15/3
=> n = 5
Related Questions
A company is researching mining at four different land areas using different types of equipment. The table below shows the costs of land, equipment, mining, and reclamation for
the four locations:
Locations
1
2
3
4
Cost of Cost of
land
$100,000 $10,000
$35,000 $6,000
$30,000
$7,500
$40,500
$8,000
Location 2
equipment
Location 3
Location 4
Cost of mining and
reclamation
$5,000 per day
$4,500 per day
$3,500 per day
$7,000 per day
Considering all costs, which location will cost the least to the company to mine?
Location 1
Time taken to mine
the area
30 days
45 days
120 days
65 days
Answers
According to the given information, location 2 will cost the least to the company to mine, with a total cost of $202,500.
What is an expression?An expression is a mathematical phrase that can contain variables, constants, and operators (such as addition, subtraction, multiplication, division, and exponentiation) that represent some combination of numbers or other mathematical objects. Expressions can be simple, such as a single number or variable, or complex, such as a series of terms connected by operators. Expressions can be evaluated, simplified, and manipulated using algebraic techniques to solve problems and analyze mathematical relationships.
According to the given information:To determine the total cost of mining at each location, we need to consider the cost of land, equipment, and mining and reclamation. We can calculate the total cost for each location as follows:
Location 1: $100,000 (cost of land) + $5,000 (cost of equipment per day) x 30 (days taken to mine) = $250,000
Location 2: $10,000 (cost of land) + $4,500 (cost of equipment per day) x 45 (days taken to mine) = $202,500
Location 3: $35,000 (cost of land) + $3,500 (cost of equipment per day) x 120 (days taken to mine) = $455,000
Location 4: $6,000 (cost of land) + $7,000 (cost of equipment per day) x 65 (days taken to mine) = $451,000
Therefore, According to the given information, location 2 will cost the least to the company to mine, with a total cost of $202,500.
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Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A. Select ALL of the measurement pairs that could be the dimensions of Rectangle B.
a
80 cm by 20 cm
b
18 cm by 4.5 cm
c
6 cm by 1.5 cm
d
10 cm by 2 cm
e
13 cm by 4 cm
Answers
The measurements pairs that could be the dimensions of Rectangle B are: 80 cm by 20 cm
18 cm by 4.5 cm
6 cm by 1.5 cm
What are the dimensions?A scaled copy is a copy of an image in which the dimensions of the initial image is multiplied by the same number. A scaled copy can either be a smaller version of the original image or a larger version of original image.
Is 80 cm by 20 cm the dimensions of Rectangle B:
80 / 12 = 6.7
20 / 3 = 6.7
The ratio of the lengths and widths are the same. Thus, the dimensions might the for Rectangle B.
Is 18 cm by 4. 5 cm the dimensions of Rectangle B:
18 / 12 = 1.5
4.5 / 3 = 1.5
The ratio of the lengths and widths are the same. Thus, the dimensions might the for Rectangle B.
Is 6 cm by 1.5 cm the dimensions of Rectangle B:
6 / 12 = 0.5
1.5 / 3 = 0.5
The ratio of the lengths and widths are the same. Thus, the dimensions might the for Rectangle B.
Is 10 cm by 2 cm the dimensions of Rectangle B:
10 / 12 = 0.83
2/ 3 = 0.67
The ratio of the lengths and widths is not the same. Thus, the dimensions cannot be for Rectangle B.
Is 13 cm by 4 cm the dimensions of Rectangle B:
13 / 12 = 1.08
4/ 3 = 1.33
The ratio of the lengths and widths is not the same. Thus, the dimensions cannot be for Rectangle B.
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Can someone please help me with these? I tried doing them myself, but I got confused enough that I haven’t ended up with an answer yet
Answers
Solution:
Given:
\(1-3x>14-(4-6x)\)Solving the given inequality with the steps involved,
\(\begin{gathered} 1-3x>14-(4-6x) \\ E\text{ xpanding the bracket on the r}ight\text{ hand side of the inequality;} \\ 1-3x>14-4+6x \\ 1-3x>10+6x \\ \text{Collecting the like terms;} \\ 1-10>6x+3x \\ -9>9x \\ \text{Dividing both sides by 9,} \\ -\frac{9}{9}>\frac{9x}{9} \\ -1>x \\ \text{Flipping the sides, and changing the inequality using the principle if a>b, then bx, } \\ \text{then} \\ x<-1 \end{gathered}\)Therefore, the solution as inequality is;
\(x<-1\)The solution in interval notation therefore is;
\((-\infty,-1)\)Graphing the solution on a number line;
Need help give you a good rating pls.
Answers
Answer:
x^(1/2)
Step-by-step explanation:
For this, we need to understand exponent rules. This one is like this, "A power to a power, you multiply the exponents". This is simply, because this expression would be equivalent to 3 base terms:
(x^(1/6))^3 = (x^(1/6)) * (x^(1/6)) * (x^(1/6))
And when you perform this multiplication "Powers of like bases, you add the exponents", you will get the following
(x^(1/6)) * (x^(1/6)) * (x^(1/6)) = x^(1/6 + 1/6 + 1/6) = x^(3/6) = x^(1/2)
Hence, this expression simplifies to x^(1/2).
Cheers.
Answer:
\( \boxed{ {x}^{ \frac{1}{2} } }\)Option D is the correct option.
Step-by-step explanation:
\( \mathrm{ ({x}^{ \frac{1}{6} } ) ^{3} }\)
\( \mathrm{simplify \: the \: expression \: by \: multiplying \: exponents}\)
\( \mathrm{ = {(x)}^{ \frac{1}{6} \times 3 } }\)
\( \mathrm{ = {x}^{ \frac{1}{2} } }\)
Hope I helped!
Best regards!
Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial. \[x^2 22x \underline{~~~~}.\]
Answers
The square of a binomial, the value of the constant \(c\) should be equal to half the coefficient of the linear term squared, which in this case is \(c = \left(\frac{22}{2}\right)^2 = 121\). Therefore, the constant that needs to be filled in is 121.
To express the quadratic expression \(x^2 + 22x + c\) as the square of a binomial, we need to find a binomial of the form \((x + a)^2\) that expands to \(x^2 + 22x + c\). Expanding \((x + a)^2\) gives \(x^2 + 2ax + a^2\). Comparing the coefficients of the expanded binomial and the given quadratic expression, we can equate the linear terms to find \(2ax = 22x\), which gives \(a = 11\). Substituting this value of \(a\) back into the expanded binomial, we have \(x^2 + 22x + 121\). Therefore, the constant that needs to be filled in is 121.
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If function g is a quadratic function that contains the points (-3,5) and (0,14), which statement is true over the interval [-3,0]?
Answers
Your answer for this question is B
The average rate of change of f(x) is less than average rate of change of g(x). Then the correct option is C.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The function f(x) is given in the table, then the rate of change of the function f(x) will be
Rate of change of f(x) = (-2 + 4.5) / (-2 + 3)
Rate of change of f(x) = 2.5
If function g is a quadratic function that contains the points (-3,5) and (0,14).
Then the rate of change of the function g(x) will be
Rate of change of g(x) = (14 - 5) / (0 + 3)
Rate of change of g(x) = 9/3
Rate of change of g(x) = 3
Thus, the average rate of change of f(x) is less than average rate of change of g(x).
Then the correct option is C.
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Which points lie on the graph of f(x) = Negative StartRoot negative x EndRoot? (–9, 3) (–4, –2) (–1, 1) (0, 0) (1, 1) (2, –4) (9, 3)
Answers
Answer:b and d
Sbrhabsbdbabsbsbs
Answer:
The correct answers are (–4, –2) and (0, 0).
Step-by-step explanation:
This is correct on Edg. 2020
In the diagram below of triangle MNOP, P is the midpoint of MO and Q is the midpoint of NO. If PQ=5x+62 and MN=6x-4, what is the measure of PQ
Answers
The measure of length PQ will be 22 units.
What is the mid-point theorem?A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.
Given:
PQ = 5x + 62, and MN = 6x-4
Now, using Mid- Point Theorem
PQ= 1/2 MN
-5x+ 62 = 1/2( 6x - 4)
-5x+ 62 = 3x - 2
-5x- 3x = -2 - 62
-8x = -64
x= 8
PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22
Hence, the measure of PQ is 22 units.
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The probability distribution of a game is shown in the table. Find the expected number of points won per play. Round to the nearest tenth if needed.
a) 5.7 b) 4.5 c) 4.7 d) 5
Answers
Answer:
4.5
Step-by-step explanation:
I just did this lesson and i just guessed, but i got it wrong and it said the answer was 4.5. basically, you multiply the fractions and the number value first,(like 1/6 X 0) and you do that to all of them. and then you add up all your answers, simplify them and put it in decimal form. and you get 4.5. hopefully that made enough sense.
Spongebob Squarepants is a surprisingly fast swimmer. Spongbob can swim at a velocity of 8.3 m/s. How much time would it take Spongebob to swim 1600 meters (about one mile)
Answers
Answer:
The time needed for Spongebob to swim that distance = 192.77 seconds
Step-by-step explanation:
From the laws of motion, we have that the time it takes a person (in this case, Spongebob) to move from one location to another, or through a distance, equals the distance covered divided by the speed.
i.e time = distance / speed
Velocity of Spongebob's swim = 8.3 m/s
Distance swam = 1600 metres
Time taken = 1600/8.3 = 192.77 seconds
Answer:
192.7 (192.77 to be exact)
Step-by-step explanation:
1600 divided by 8.3 would equal 192.77 (simplified down to 192.7)
Rebecca bought a square rug for her office. If the area of the rug is 65ft estimate the side length of the rug to the nearest tenth.
Answers
Answer:16.3 ft
Step-by-step explanation:
The estimated value of the side length of the square rug is : 8.062 feets
Given that the area of the square rug = 65 ft²
Recall :
Area of a square = s²
Where, s = side length
Therefore,
Area of rug = s²
65 ft² = s²
65 = s²
Square both sides
√65 = s
8.062 = s
The estimated side length of the rug is 8.062 feets.
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help its in the picture
Answers
Answer:
6
Step-by-step explanation:
Answer:
The answer would be 6
Step-by-step explanation:
find /dy/dx by implicit differentiation. tan(−)=1 2 tan(x−y)=y1 x2
Answers
To find dy/dx using implicit differentiation, we differentiate both sides of the equation tan(-θ) = 1 with respect to θ, and then apply the chain rule. Let's go step by step:
Differentiating both sides with respect to θ:
d/dθ (tan(-θ)) = d/dθ (1)
Applying the chain rule on the left side:
sec^2(-θ) * (-1) = 0
Since sec^2(-θ) is equal to 1 + tan^2(-θ), we have:
(1 + tan^2(-θ)) * (-1) = 0
Simplifying the equation:
tan^2(-θ) = 1
Now, we apply the given equation 2tan(x - y) = y^2 + x to differentiate it implicitly with respect to x:
Differentiating both sides with respect to x:
d/dx (2tan(x - y)) = d/dx (y^2 + x)
Applying the chain rule on the left side:
2sec^2(x - y) * (1 - dy/dx) = 2y * dy/dx + 1
Now, we can solve this equation for dy/dx.
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Find the slope of line
Answers
Answer:
2/4
Step-by-step explanation:
rise/run
go up (rise) 2, run 4
2/4
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Answers
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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Triangle EFG is dilated by a scale factor of \frac{2}{3}
3
2
to form triangle E'F'G'. What is the measure of side FG?
Answers
Answer:
B. 36°
Step-by-step explanation:
Dilation does not change the angle measures or the direction of the lines. Angle F is the same as corresponding angle F'.
Which does NOT have the same quotient as 2.4 ÷ 0.08?
A. 0.24 ÷ 0.008 B. 24 ÷ 0.8 C. 240 ÷ 8 D. 24,000 ÷ 8,000
Answers
24,000 ÷ 8,000 this doesn't have the same quotient as 2.4 ÷ 0.08
What is quotient ?
A quotient in mathematics is the amount created when two numbers are divided. The term "quotient" is used frequently in mathematics and is sometimes referred to as a ratio, a fraction, or the integer portion of a division.
The dividend is the number that is being divided (in this case, 15), and the divisor is the number that is being divided (in this case, 3). The quotient is the end result of division.
The quotient of 2.4 ÷ 0.08 is 30
The quotient of 0.24 ÷ 0.008 is 30
∴ the same as 2.4 ÷ 0.08
The quotient of 24 ÷ 0.8 is 30
∴ the same as 2.4 ÷ 0.08
The quotient of 240 ÷ 8 is 30
∴ the same as 2.4 ÷ 0.08
The quotient of 24,000 ÷ 8,000 is 3
∴ it is not same as 2.4 ÷ 0.08
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what is the inverse of f(x)=4x^2-16
Answers
√ x/4 + 4 is the inverse of the function f(x)=4x^2-16
How to find the inverse of a functionWhat is inverse function?
In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f
Given f(x)=4x²-16
Let f(x) = y
So we can say y =4x²-16
We will then make x the subject:
Since y = 4x²-16
4x² = y + 16
x² = y + 16/4
x = √ y/4 + 4
since x = f⁻¹(y) = √ y/4 + 4
Thus f⁻¹(x) = √ x/4 + 4
Therefore, the inverse of f(x)=4x^2-16 is √ x/4 + 4
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What would be the second step in simplifying the expression 4 2 ÷ (2 • 9) + 5?
Answers
Answer:
7.333
Step-by-step explanation:
(42 ÷ 18 ) +5 =
7/3 +5 =
7/3 + 15/3 =
22/3 =
7.333
Answer:
4.33
Step-by-step explanation:
Elizabeth goes to a restaurant where her bill comes to $18.50. She leaves the server a 22% tip. What is the total cost of going to the restaurant?
Answers
Answer:
22.57
Step-by-step explanation:
multiply 18.50 by .22 and add it to 18.50
Answer:
Elizabeth will pay $22.57 in total at the restaurant.
Step-by-step explanation:
First, you need to find the tip, which is 22% of the bill. 22% of 18.5 is 4.07. Then you add that number to the bill and get 22.57.
true or false: in a probability model, the sum of the probabilities of all outcomes must equal 1.
Answers
Answer:
Step-by-step explanation:
false that is not at all true
help me with the question of o.math
Answers
Answer:
Hello,
Answer 163
Step-by-step explanation:
1,7,16,28,43,..., 10th term=?
\(u_1=1,u_2=7,u_2-u_1=7-1=6=2*3\\u_3=16, u_3-u_2=16-7=9=3*3\\u_4=28, u_4-u_3=28-16=12=4*3\\u_5=43, u_5-u_4=43-28=15=5*3\\\\\boxed{ u_1=1, \ u_{n+1}-u_{n}=(n+1)*3}\\\\u_{10}=163\\\)
what is the value of x when the richter scale rating is 5.5
Answers
Answer:
5.5
Step-by-step explanation:
divide both sides
the riverton branch of the national bank of wyoming has 10 real estate loans over $1,000,000. of these 10 loans, three are "underwater." a loan is underwater if the amount of the loan is greater than the value of the property. the chief loan officer decided to randomly select two of these loans to determine if they met all banking standards. what is the probability that neither of the selected loans is underwater? (round your answer to 4 decimal places.)
Answers
The probability that neither of the selected loans is underwater is approximately 0.5444.
To find the probability that neither of the selected loans is underwater, we need to calculate the probability of selecting a loan that is not underwater for both selections.
Out of the 10 real estate loans, 3 are underwater. So, the probability of selecting a loan that is not underwater for the first selection is (10 - 3) / 10 = 7/10.
After the first selection, there are 9 loans left, out of which 2 are underwater. So, the probability of selecting a loan that is not underwater for the second selection is (9 - 2) / 9 = 7/9.
To find the probability of both events happening, we multiply the probabilities together:
Probability = (7/10) * (7/9) = 49/90 ≈ 0.5444
Therefore, the probability that neither of the selected loans is underwater is approximately 0.5444.
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Solve the quadratic F(x)=x^2+10x-1
Please explain.
Answers
The solutions to the quadratic equation f(x) = x² + 10x - 1 are x = -5 + √26 and x = -5 - √26
To solve the quadratic equation f(x) = x² + 10x - 1
we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For the given equation, a = 1, b = 10, and c = -1.
Substituting these values into the quadratic formula:
x = (-(10) ± √((10)² - 4(1)(-1))) / (2(1))
= (-10 ± √(100 + 4)) / 2
= (-10 ± √104) / 2
Simplifying further:
x = (-10 ± 2√26) / 2
= -5 ± √26
Therefore, the solutions to the quadratic equation f(x) = x² + 10x - 1 are:
x = -5 + √26 and x = -5 - √26
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What’s the radius, circumference, and area?
Answers
Circumference: 2(pi)r= 18.85cm
Area: 2(pi)r^2= 56.55 cm^2
Which expression can be used to find the difference of the polynomials?
(10m – 6) – (7m – 4)
Answers
Answer:
3m -2
Step-by-step explanation:
(10m – 6) – (7m – 4)
Distribute the minus sign
(10m – 6) – 7m + 4
Combine like terms
3m -2
solve and check\(27.345 \times 4.335\)
Answers
So we got to evaluate:
\(27.345\times4.335\)To calculate this multiplication, we can first consider the numbers without the decimal digits:
\(27345\times4335\)Doing this multiplication, we got to:
\(27345\times4335=118540575\)Now, we count how many decimal places there ir in the initial numbers. We have 3 decimal places in 27.345 and also 3 decimal places in 4.335.
So we have a total of 6 decimal places. To get the result, we put the 6 rightmost digits in decimal places, so we get:
\(118.540575\)That is the result.
One way of checking it is by firts adding the digits of each number.
So we have 27345, the digits add to:
\(2+7+3+4+5=21\)Since we still have 2 digits, we add them up:
\(2+1=3\)Now, we do the same for 4335:
\(4+3+3+5=15\)\(1+5=6\)Now, we multiply this reduced numbers, 3 and 6:
\(3\cdot6=18\)And reduce it:
\(1+8=9\)To check the result, 118540575, we do the same with it and compare:
\(1+1+8+5+4+0+5+7+5=36\)\(3+6=9\)So we also got to 9. This way, the result is probably right. This is a way of checking the result of a multiplication.
a friend of yours who works in the it department of a bank tells you that tellers are allowed to log in to their terminals only from 9 a.m. to 5 p.m., monday through saturday. what is this restriction an example of?
Answers
Given restriction is an example of Time-of-day restrictions
The correct answer is an option (C)
In this question we have been given a friend tells you that tellers
are allowed to log in to their terminals only from 9 a.m. to 5 p.m., Monday through Saturday.
We need to identify the type of restriction in this example.
We know that time-of-day restrictions are the restrictions that often used to limit the hours during which a user is allowed to log into or access a system.
This type of restrictions helps prevent unauthorized access outside that user's normal working hours .
Therefore, given restriction present in this example: Time-of-day restrictions
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The complete question is:
A friend of yours who works in the IT department of a bank tells you that tellers are allowed to log in to their terminals only from 9 a.m. to 5 p.m., Monday
through Saturday. What is this restriction an example of?
A. User auditing
B. Least privilege
C. Time-of-day restrictions
D. Account verification
A florist is interested in the number of customers who purchase bunches of flowers in an hour. Suppose the population mean number of purchases from florists in the locality is 15 bunches of flowers per hour, with a population variance of 4. What is the probability that the florist will sell equal or less than 12 bunches of flowers in an hour.
Answers
The probability that the florist will sell equal or less than 12 bunches of flowers in an hour is approximately 0.4332.
What is the probability of selling 12 or fewer bunches of flowers in an hour?In probability theory, the number of customers who purchase bunches of flowers in an hour can be modeled using a normal distribution. Given that the population mean is 15 bunches of flowers per hour and the population variance is 4, we can calculate the probability using the z-score.
To find the probability of selling equal or less than 12 bunches, we need to standardize the value using the z-score formula: z = (x - μ) / σ, where x is the given value (12), μ is the mean (15), and σ is the standard deviation (sqrt(variance)).
Calculating the z-score: z = (12 - 15) / sqrt(4) = -1.5
Using a standard normal distribution table or a statistical calculator, we can find the cumulative probability associated with a z-score of -1.5. The probability is approximately 0.0668.
However, since we are interested in the probability of equal or less than 12 bunches, we need to subtract this probability from 0.5 (the total area under the curve). Thus, the probability that the florist will sell equal or less than 12 bunches of flowers in an hour is approximately 0.5 - 0.0668 = 0.4332.
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