Answers
The equestion is, solve for n
\(\frac{2n-3}{5}=5\)Step 1: Cross multiply the equation above to have
\(\begin{gathered} \frac{2n-3}{5}=\frac{5}{1} \\ 1(2n-3)=5\times5 \\ 2n-3=25 \end{gathered}\)Step 2: Add 3 to both sides
\(\begin{gathered} 2n-3=25 \\ 2n-3+3=25+3 \\ 2n=28 \end{gathered}\)Step 3: Divide both sides by 2
\(\begin{gathered} 2n=28 \\ \frac{2n}{2}=\frac{28}{2} \\ n=14 \end{gathered}\)Hence,
The value of n = 14
Related Questions
Blood type AB is found in only 3% of the population.† If 345 people are chosen at random, find the probability of the following. (Use the normal approximation.
Answers
Answer:
345 times 0.03 = 10.35 but we cant have 0.35 of a person so it is 10 people
Step-by-step explanation:
a, b, and c are positive real numbers;
a×b= 5742×6368
a×c= 5748×6362
c×b= 5738×6372
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And please clarify your answers in a simple language
Answers
Given the equations a × b = 5742 × 6368, a × c = 5748 × 6362, and c × b = 5738 × 6372, we need to determine the relationship between the three variables a, b, and c.
By comparing the given equations, we notice that the numbers on the right-hand side of each equation are very close to each other, differing only by small amounts. This suggests that a, b, and c are approximately equal.Since a × b, a × c, and c × b involve the same numbers with slight variations, we can conclude that a, b, and c are all very close in value.
Therefore, the inequality we can infer from this information is a ≈ b ≈ c, indicating that a, b, and c are approximately equal.
In simple terms, based on the given equations, it suggests that the values of a, b, and c are very similar or approximately equal to each other.
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You spin a spinner with 4 sections: 1 red (R), 1 green (G), 1 purple (P), and 1
yellow (Y).
What is the sample space for one spin of this spinner?
OA. (RG, GP, PY, YR)
OB. (R, G, P, Y)
O C. (R, G, B, Y)
OD. (R, G, P, B, Y)
Answers
The sample space is (R, G, P, Y).(OB)
What is sample space?
A sample space is a collection of possible outcomes of a random experiment. The sample space is represented by the symbol, “S”. A sample space may contain a finite number of outcomes which depends on the experiment.
You spin a spinner with 4 sections: 1 red (R), 1 green (G), 1 purple (P), and 1
yellow (Y).
So here is 4 sections
Red(R), Green (G), Purple (P), Yellow(Y)
So there are 4 sections in sample space
The sample space for one spin of the spinner is (R, G, P, Y).
Hence, the sample space is (R, G, P, Y).
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How do you divide fractions?
Answers
Answer:
The easiest way to divide fractions is to follow three simple steps:
1. Flip the divisor into a reciprocal.
2. Change the division sign into a multiplication sign and multiply.
3. Simplify if possible.
Solve the quadratic equation for x. What is one of the roots?
3x2 − 14x − 5 = 0
please any help would be nice!!!
Answers
The roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.
According to given information :Using the quadratic formula to solve the quadratic equation \(3x^2 - 14x - 5 = 0\),we have
\(x = (-(-14) ± sqrt((-14)^2 - 4(3)(-5))) / (2(3))\\x = (14 ± sqrt(14^2 + 4(3)(5))) / (2(3))\\x = (14 ± sqrt(196 + 60)) / 6\\x = (14 ± sqrt(256)) / 6\\x = (14 ± 16) / 6\\\)
Therefore, the two roots of the quadratic equation in exact square root form are:
\(x = (14 + 16) / 6 = 5\\x = (14 - 16) / 6 = -1/3\\\)
Thus, the roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.
What is quadratic equation ?A quadratic equation is a second-degree polynomial equation in one variable of the form:
\(ax^2 + bx + c = 0\)
where x is the variable, and a, b, and c are constants. In this equation, the highest power of x is 2, and it is called the coefficient of x^2. The coefficient of x is b, and the constant term is c.
The quadratic equation is called "quadratic" because the highest power of x is a square (i.e., x^2), and the graph of the equation is a parabola.
The quadratic equation can have zero, one, or two real solutions, depending on the values of a, b, and c. The solutions can be found by using the quadratic formula:
\(x = (-b ± √(b^2 - 4ac)) / 2a\)
where the symbol ± means "plus or minus" and the square root is of the discriminant (b^2 - 4ac).
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What is the value of x for the triangle shown to the right?
Answers
Answer:
x = 6.24
Step-by-step explanation:
x =
Tan32° = OPP/ADJ
Tan32° = x/10
0.624 = x/10
cross-multiply
x = 6.24
Could someone please help me on this question. It would be very much appreciated :)
Answers
Answer: X would go in the right triangle.
Step-by-step explanation:
Hope this helps!
Find the area of a triangle whose base is 23 inches and whose height is 8 inches. Write your answer as a decimal if
necessary.
Answers
Answer:
The area will be 92 inches.
Step-by-step explanation:
Remember the formula for area: Area = 1/2b×h
1/2 × 8 × 23 = 92
determine the maximum and minimum values of the function, at what values of x are they achieved? (without using a derivative)
\(y=\sin^3x-\sin^6x\)
Answers
The maximum and minimum values of the function is solved
Given data ,
We can find the maximum and minimum values of the function by taking the derivative of y with respect to x and setting it equal to zero.
y = (sin x)³ - (sin x)⁶
y' = 3(sin x)² cos x - 6(sin x)⁵ cos x
Setting y' equal to zero:
0 = 3(sin x)² cos x - 6(sin x)⁵ cos x
0 = 3(sin x)² cos x (1 - 2(sin x)³)
sin x = 0 or (sin x)³ = 1/2
If sin x = 0, then x = kπ for any integer k.
If (sin x)³ = 1/2, then sin x = (1/2)^(1/3) ≈ 0.866. This occurs when x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3 for any integer k.
To determine whether these values correspond to a maximum or minimum, we can use the second derivative test.
y'' = 6(sin x)³ cos² x - 15(sin x)⁴ cos² x - 9(sin x)⁴ cos x + 6(sin x)⁵ cos x
y'' = 3(sin x)³ cos x (4(sin x)² - 5(sin x)² - 3cos x + 2)
For x = kπ, y'' = 3(0)(-3cos(kπ) + 2) = 6 or -6, depending on the parity of k. This means that these points correspond to a maximum or minimum, respectively.
For x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3, y'' = 3(1/2)^(5/3) cos x (4(1/2)^(2/3) - 5(1/2)^(1/3) - 3cos x + 2). This expression is positive for x = π/3 + 2kπ/3 and negative for x = 5π/3 + 2kπ/3, which means that the former correspond to a minimum and the latter to a maximum.
Hence , the maximum value of the function is y = 27/64, which occurs at x = 5π/3 + 2kπ/3, and the minimum value is y = -1/64, which occurs at x = π/3 + 2kπ/3
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Answer:
maximum: 0.25minimum: -2Step-by-step explanation:
You want the maximum and minimum values of the function ...
y = sin³(x) -sin⁶(x)
SolutionWhen we substitute sin³(x) = z, we have the quadratic expression ...
y = z -z² . . . . . a quadratic function
Adding and subtracting 1/4, we can put this in vertex form:
y = -(z -1/2)² +1/4
MaximumThis version of the function describes a parabola that opens downward and has a vertex at (z, y) = (1/2, 1/4). The y-value of the vertex represents the maximum value of the function.
The maximum value of y is 1/4.
MinimumThe sine function is a continuous function with a range of [-1, 1]. Then z will be a continuous function of x, with a similar range. We already know that y describes a function of z that is a parabola opening downward with a line of symmetry at z = 1/2. This means the most negative value of y will be found at z = -1 (the value of z farthest from the line of symmetry). That value of y is ...
y = (-1) -(-1)² = -1 -1 = -2
The minimum value of y is -2.
__
Additional comment
The range of y is confirmed by a graphing calculator.
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Triangle XYZ is rotated 90° counterclockwise about the origin to produce X'Y'Z'. What are the coordinates of X'Y'Z'?
Answers
Answer:
59
Step-by-step explanation:
6 plus 4 equals 8 plus 9
Identify the coordinates of each vertex of triangle XYZ.
Apply the 90° counterclockwise rotation rule, which states that when rotating a point 90° counterclockwise about the origin, the new coordinates of the point will be (-y, x).
Substitute the coordinates of each vertex into the rotation rule to find the coordinates of the corresponding vertex in X'Y'Z'.
For example, let's say that the coordinates of triangle XYZ are:
X = (2, 3)
Y = (-1, 4)
Z = (0, -2)
To find the coordinates of X'Y'Z', we can apply the rotation rule to each vertex as follows:
X' = (-3, 2)
Y' = (-4, -1)
Z' = (2, 0)
Therefore, the coordinates of X'Y'Z' after rotating triangle XYZ 90° counterclockwise about the origin are:
X' = (-3, 2)
Y' = (-4, -1)
Z' = (2, 0)
Note that the order of the vertices may change after the rotation, but the coordinates of each vertex will correspond to the same vertex in the original triangle.
Which phrase represents the algebraic expression for n – 4?
A. The quotient of a number and four.
B. Four less than a number.
C. Four minus a number.
D. Four more than a number
Answers
The phrase that represents the algebraic expression n - 4 is option b four less than a number.
Given,
The algebraic expression; n - 4
We have to find the phrase that represents the given algebraic expression.
Algebraic expression;
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
An algebraic expression can be categorized into different categories depending on how many terms it contains: polynomial, quadrinomial, trinomial, monomial, and binomial.
So,
n - 4
That is,
4 is less than from a number
Therefore,
The phrase that represents the algebraic expression n - 4 is option b four less than a number.
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Answer:
the answer is b
Step-by-step explanation:
Solve the following equation. Round to the nearest hundredth.
-0.5(x + 2) = 2(5 – x) – 3x
A
x = – 0.89
B
X = 1.67
с
x = - 2.27
D
X = 2.44
Answers
Find out the coordinates
Answers
c) (0,-8)
reason:
it may be easiest to visualize by putting (-3,-5) and (-6,-2) on a graph
you can see that to get from C to B you have to add 3 to the x value and subtract 3 from the y value
do the same to point B, which will give you (0,-8)
If you pay $7 for a night light that costs $0.50 per
year in electricity to operate, then how much will
you have spent on the night light if you operate it
continuously for Y years? Write an expression in
terms of Y. Evaluate your expression for the cost
of the night light when Y = 4 and when Y = 5. Explain your work.
Explain your work.
Answers
Answer:45
Step-by-step explanation:
i think
Answer:
C = 0.5Y + 7
Y = 4, C = 9
Y = 5, C = 9.5
Step-by-step explanation:
C = 0.5Y + 7
Y = 4
C = 0.5(4) + 7 = 9
Y = 5
C = 0.5(5) + 7 = 9.5
Solve the puzzle and add the colors
Answers
Answer:
43
Step-by-step explanation:
Green: 9 - 2(-3) = 9 + 6 = 15
Red: -2(-3) + 4 = 6 + 4 = 10
Dark blue: 7x + 5 = 19
7x = 19 - 5 = 14
x = 14/7 = 2
Light blue: 6x + 3 = 21
6x = 21 - 3 = 18
x = 18/6 = 3
Red(Lt blue) - Dk blue + Green = 10(3) - 2 + 15 = 43
What is the solution of the system x+2y+3z=6; y+2z=0; z=2
Answers
Answer:
z=2, y=-4, x=8
Step-by-step explanation:
since we know z is 2, we can plug it back into the equation to find y:
y+2*2=0
first, simplify:
y+4=0
then, subtract 4 from both sides:
y=-4
now we know what both z and y are, we can put the values back into the equation to find x:
x+2(-4)+3*2=6
first, simplify:
x-8+6=6
x-2=6
then, add 2 to both sides:
x=8
so the values are:
z=2, y=-4, x=8
Use the graph below to find the following:
A) what is the slope of the line?
B) what is the y intercept of the line?
C) what is the equation of the line in slope intercept form?
Answers
B.) The y-intercept is b=-5
C.) The equation is: y=-2x-5
WILL MARK BRAINLIST PLEASE HELP THIS IS DUE SOON
What is the measure of A?
A) 42
B) 138
C) 180
D) 218
Answers
Answer:
C
Step-by-step explanation:
180
which line has a slope of -1/2
Answers
Answer:
D
Might be the Right Answer
Mrs. McConnell states that the numbers on the cards below have a mean of 12. What number is missing to make Mrs. McConnell correct if the numbers are 7, 16, 12, 10, 11.
Answers
Answer:
It was 16
Step-by-step explanation:
16+7+16+12+10+11=72
72 divided by 6 = 12
HELP ME PLEASEEEEEEEEEEEEE
Answers
Answer:
A
Step-by-step explanation:
Lets treat this linear inequality as a linear equation first and simplify it and "solve" for x.
-3x+12 ≤ 15
Subtract 12 on both sides
-3x≤3
Now divide -3 on both sides. However, don't fall into the trap many fall into. When dividing or multiplying an inequality by a negative number, you must switch the sign direction.
x≥-1
Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Boys
Girls
Total
Play a sport
95
76
171
Do not play a
sport
45
59
104
A. Yes, they are independent, because P(girl)
a sport) ~0.62
Are being a girl and playing a sport independent events? Why or why not?
B. Yes, they are independent, because P(girl)
a sport) -0.44
Total
C. No, they are not independent, because P(girl) 0.49 and
P(girl plays a sport) ~ 0.62.
140
135
275
0.49 and Pigirl | plays
0.49 and P(girl plays
D. No, they are not independent, because P(girl)-0.49 and
Pigirl plays a sport)~0.44.
Answers
Being a girl and playing a sport are C. No, they are not independent events, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62.
Let's consider the probabilities:
P(girl) = (number of girls) / (total number of students) = 135 / 275 ≈ 0.49
P(girl plays a sport) = (number of girls playing a sport) / (total number of students) = 76 / 275 ≈ 0.276
If being a girl and playing a sport were independent events, the joint probability would be the product of the individual probabilities:
P(girl) × P(girl plays a sport) ≈ 0.49 × 0.276 ≈ 0.13524
However, the actual joint probability is different from the expected value:
P(girl, plays a sport) ≈ 76 / 275 ≈ 0.276
Since the joint probability does not match the product of the individual probabilities, we can conclude that being a girl and playing a sport are not independent events based on the given data.
Therefore, option C. No, they are not independent, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62. is the correct answer.
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The word isometric can be broken into two parts. The prefix "iso-” means "of the same,” and "-metric” means "measure.” How does the meaning of the word isometric relate to determining if an isometric transformation occurred? Include the defining characteristics of angle measure and line segments in your response.
Answers
The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.
When we speak about geometric figures, the concept of shape, size, and orientation come into play.The defining characteristics of angle measure and line segments play a critical role in determining whether an isometric transformation has occurred. In geometry, angle measures are the measurements of angles in a geometric figure. An angle is formed by two line segments that share a common endpoint. It is a unit used to calculate the measure of a plane figure's interior or exterior, such as a polygon. In other words, the size of the angle doesn't change during an isometric transformation.Line segments are the building blocks of geometric figures. They are used to construct geometric figures such as polygons, triangles, and rectangles, among others. In an isometric transformation, the length of the line segments remains constant because the shape and size of the original figure and its transformed equivalent remain the same.In conclusion, the word "isometric" implies that the transformation has the same measurements of the original figure. It is a transformation that retains the original geometric figures' shape, size, and orientation. The defining characteristics of angle measure and line segments remain unchanged during the isometric transformation. This means that if an isometric transformation occurs, the original and transformed figures have the same measurements of angles and line segments.For such more question on isometric
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Write an equation for the description.
Tanmayi wants to raise $150 for a school fundraiser. She has raised $100 so far. How much more (bes she
need to reach her goal? Let m be how much more is needed.
Answers
Answer:
answer
Step-by-step explanation:
step by step explanation
At San Diego State University, Webber Hall is located 35 meters west and 55 meters south of the Student Union. Aztec Hall is located 42 meters east and 30 meters south of the Student Union. How far is Webber Hall from Aztec Hall? Round to the nearest tenth..
Answers
Answer: 20
Step-by-step explanation:
55+35=90
42+30=72
90-72=18 (close to 20)
PLS help
Which of the following statements are true about the solids shown above
Answers
Answer:
kkkkkk
Step-by-step explanation:
Verónica Ana y Luis pintan una barda y les pagan 300 cuánto dinero debería recibir cada quien
Answers
Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.
Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).
Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.
Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.
3x+8= what's the answer tell me NOW
Answers
Answer:
x or +?
Step-by-step explanation:
if are x are 24
i hope i helped you
Look at the image for the problem
Answers
Answer:
8 inches
Step-by-step explanation:
By pythagoras theorem
u have sides of right angle triangle 10 and 6 and solving it u get third side which is 8 inches
14. A square has a perimeter of 36 units. One vertex of the square is located at (3,5) on the coordinate grid, What could be the x- and y-coordinates of another vertex of the square?
Answers
Answer:
For a square of side length L, the perimeter is:
P = 4*L
Then if the perimeter of our square is 36 units, we have:
36 units = 4*L
(36 units)/4 = L = 9 units.
Now we know that one vertex of the square is located at (3, 5)
Then another vertex of the square can be at:
A distance of 9 units of this point (such that these vertices are connected by one side of the square)
Some examples can be:
(3 + 9, 5) = (12, 5)
or
(3, 5 + 9) = (3, 14)
These are the simpler options, there are a lot of other possible points that can be another vertes (we can have a circle of radius 9 units centered in the point (3, 5), all these points can be another vertex of the square).
We also can have a vertex that is connected by the diagonal, this point can be:
(3 + 9, 5 + 9) = (12, 14)
or
(3 - 9, 5 - 9) = (-6, -4)
Again, there are a lot of other possible points that can be this vertex (A circle of radius √2*9 units centered in the point (3, 5)).