10-x =5
-x= 5-10
-x = -5
x= 5
Answer : x=5Answer:
what the other person said
Step-by-step explanation:
Cameron & Brett are trying to sell upper & lower level tickets to two Diamondbacks game to raise money for their club baseball team. They sold 5 lower level & 9 upper level tickets to the first game for a total of $303. They sold 8 lower level & 10 upper level tickets to the second game for a total of $410. How much money did the people pay for lower level & upper level tickets to go to a Diamondbacks game?
Answer:
30 Lower level tickets
17 upper level tickets
Step-by-step explanation:
Let:
Lower level tickets = l
Upper level tickets = u
5l + 9u = 303 - - - (1)
8l + 10u = 410 - - - - - (2)
Multiply (1) by 8 and (2) by 5
40l + 72u = 2424 - - - (3)
40l + 50u = 2050 - - - (4)
Subtract (3) from (4)
22u = 374
u = 374 / 22
u = 17
Put u = 17 in (1)
40l + 72(17) = 2424
40l + 1224 = 2424
40l = 2424 - 1224
40l = 1200
l = 1200 / 40
l = 30
30 Lower level tickets
17 upper level tickets
In its daily prowl of the neighborhood, a cat makes a displacement of 106 m due north, followed by a 80 m displacement due west.
If the cat takes 47 minutes to complete the 106 m displacement and 15 minutes to complete the 80 m displacement, what are the magnitude and direction of its average velocity during this 62-minute period of time?
The average velocity of the cat during the 62-minute period can be calculated by finding the total displacement and dividing it by the total time taken. The magnitude of the average velocity can be determined using the Pythagorean theorem, and the direction can be found using trigonometry. The average velocity is approximately 2.06 m/min in a direction of 56.3 degrees west of north.
To find the average velocity of the cat, we need to calculate the total displacement and the total time taken. The cat's displacement consists of a northward displacement of 106 m and a westward displacement of 80 m.
The total displacement is found by taking the vector sum of the individual displacements. Using the Pythagorean theorem, we can calculate the magnitude of the total displacement as follows:
Magnitude of displacement = sqrt((106 m)^2 + (80 m)^2) ≈ 130.2 m
The total time taken is the sum of the individual times, which is 47 minutes + 15 minutes = 62 minutes.
The average velocity is then obtained by dividing the total displacement by the total time taken:
Average velocity = 130.2 m / 62 min ≈ 2.10 m/min
To determine the direction of the average velocity, we can use trigonometry. The angle can be found by taking the inverse tangent of the ratio of the northward displacement to the westward displacement:
Angle = tan^(-1)((106 m) / (80 m)) ≈ 52.6 degrees
However, since the displacement is westward, the direction is the supplement of this angle:
Direction = 180 degrees - 52.6 degrees ≈ 127.4 degrees
Therefore, the magnitude of the average velocity is approximately 2.06 m/min, and it is in a direction of 56.3 degrees (180 degrees - 127.4 degrees) west of north.
Learn more about Pythagorean theorem here
https://brainly.com/question/14930619
#SPJ11
what is the graph of the inequality
x ≤ 5
Step-by-step explanation:
The graph of x ≤ 5 is a vertical line.
Vertical lines have undefined slopes are symbolically represented by the equation, x = a where a is the x-intercept. The same goes with linear inequalities—you would graph it the same way you normally graph a linear equation.
Another important detail to remember with graphing linear inequalities is the inequality symbol used. If you have "≤ " or " ≥ ," then you will have a solid line for your boundary line. If the linear inequality has "<" or ">," then you will use a dashed line for the boundary line.
To graph x ≤ 5, start at point (5, 0), then draw a vertical line from that point. You will also shade the region below, given the inequality symbol, "≤ ."
Attached is a screenshot of the graphed linear inequality, x ≤ 5.
What is the length of tho dotted line in the diagram below? Round to the nearest tenth
Answer: 8.1
Step-by-step explanation:
Use the lower triangle to find one of the sides of the triangle that is composed of the dotted line.
\(4^{2} +5^{2} = c^{2} \\41 = c^{2} \\\sqrt{41} = c\\6.40 =c\)
Use this side value along with what we're given in the image to solve for the length of the dotted line. The image gives us a side length of 5 which we can translate to being equal to the opposite side as well. Now, we have two side lengths and can use Pythagorean theorem to solve for the length of the dotted line:
\(6.40^{2} + 5^{2} = x^{2} \\65.96 = x^{2} \\\sqrt{65.96} = x\\8.1 = x\)
Determine the value of the annuity for the indicated monthly deposit amount, the number of deposits, and the interest rate. You will need to determine the value for r to solve this problem. When finding r round it to the nearest ten thousandths. Deposit amount: $50; total deposits: 60; interest rate: 5%, compounded monthly The value for r is Answer The value of the annuity is $Answer
Answer:
$3,408.49
Step-by-step explanation:
To determine the value of the annuity, we need to use the formula for the future value of an ordinary annuity:
A = P * ((1 + r)^n - 1) / r
Where:
A = Value of the annuity
P = Monthly deposit amount
r = Interest rate per period (monthly interest rate in this case)
n = Total number of deposits
First, let's convert the annual interest rate of 5% to a monthly interest rate. We divide the annual interest rate by 12 (number of months in a year) and convert it to a decimal:
Monthly interest rate = 5% / 12 = 0.05 / 12 = 0.0041667
Next, let's substitute the given values into the annuity formula:
P = $50
r = 0.0041667 (monthly interest rate)
n = 60
A = $50 * ((1 + 0.0041667)^60 - 1) / 0.0041667
Now we can calculate the value of the annuity using a calculator or spreadsheet:
A ≈ $50 * (1.0041667^60 - 1) / 0.0041667 ≈ $50 * (1.28370557 - 1) / 0.0041667 ≈ $50 * 0.28370557 / 0.0041667 ≈ $50 * 68.169768 ≈ $3,408.49
For the following problem write the simplest polynomial function with the given zeros: 2,
-1, and -8
Answer:
f(x) =x^2 - 3x^2 - 6x + 8.
Step-by-step explanation:
what is 4+4+5+8+8+4+5+1+2+3+4=
Answer: 48
explanation : 4+4=8
8+5=13
13+8=21
21+8=29
29+4=33
33+5=38
38+1=39
39+2=41
41+3=44
44+4=48
Find the focus, this looks different from the other ones I’ve done which is why I am confused
Answer:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: (0,0)(0,0)
Focus: (0,32)(0,32)
Axis of Symmetry: x=0x=0
Directrix: y=−32y=-32
xy−223−11600116223xy-223-11600116223
Step-by-step explanation:
please mark me as brainliest thank you
Answer:
A
(0, 3/2)
Step-by-step explanation
Which of the points listed is the same distance from the x-axis as the point (8, 3.25)?
(−8, 4.75)
(7, −3.25)
(3.25, 7)
None of these choices are correct.
Answer:
(7, −3.25)
Step-by-step explanation:
It's the same distance just in opposite direction
What is the reflection?
Answer:
E': (-3, 3)
F': (-1, 2)
G': (0,0)
H': (-2, 1)
Step-by-step explanation:
Answer:
song of mulan
Step-by-step explanation:
why my reflection show who I am insidee
You select a marble without looking and then put it back. If you do this 10 times, what is the best prediction possible for the number of times you will pick a pink or a green marble?
The probability of selecting either a pink or green marble from the 10 marbles is; 2/10
What is the probability of selection?
We are told that you try to select a marble ten times.
Now, we want to try to find out the best probability of selecting either a pink or a green marble.
Now, it's possible that there are other marbles but if we want to know just for this two amrbles, then we can write the probability as;
P(either pink or green marble) = 2/10
Read more about Probability of Selection at; https://brainly.com/question/251701
Answer:
3
Step-by-step explanation:
Let A=⎝⎛104−121313⎠⎞. Let Mi denote the (i,j)-submatrix of A. Fill in the blanks: M2I=( M33=(−1 M12=(−1−) 5electa bark to theut an answer
M2I=⎝⎛−121313⎠⎞, M33=⎝⎛104−121⎠⎞, M12=⎝⎛13−121⎠⎞−5.
The given matrix is A=⎝⎛104−121313⎠⎞.
Let Mi denote the (i , j) -submatrix of A and you need to fill in the blanks: M2I=(____ M33=(____ M12=(____−).
Here, A is a 3 × 3 matrix and its submatrices Mi denote a 2 × 2 matrix that can be obtained by deleting the i-th row and the j-th column of A.
So, we need to determine the given submatrices one by one.
1. M2I denotes the (2,1)-submatrix of A. So, deleting the 2nd row and the 1st column of A, we get, M2I=⎝⎛−121313⎠⎞2. M33 denotes the (3,3)-submatrix of A. So, deleting the 3rd row and the 3rd column of A, we get,M33=⎝⎛104−121⎠⎞3. M12 denotes the (1,2)-submatrix of A. So, deleting the 1st row and the 2nd column of A, we get, M12=⎝⎛13−121⎠⎞.
Hence, M2I=⎝⎛−121313⎠⎞, M33=⎝⎛104−121⎠⎞, M12=⎝⎛13−121⎠⎞−5.
Learn more about the Matrix:
https://brainly.com/question/27929071
#SPJ11
Calculate the percentage return on a 1-year Treasury bill with a
face value of $10,000 if you pay $9,100.26 to purchase it and
recieve its full face value at maturity.
The percentage return is ___%.
The percentage return on a Treasury bill can be calculated using the formula: Percentage Return = (Face Value - Purchase Price) / Purchase Price * 100 In this case, the face value of the Treasury bill is $10,000, and the purchase price is $9,100.26. Substituting these values into the formula, we have:
Percentage Return = ($10,000 - $9,100.26) / $9,100.26 * 100 =
$899.74 / $9,100.26 * 100 ≈ 9.88%
Therefore, the percentage return on the 1-year Treasury bill is approximately 9.88%.
Learn more about Percentage Return here: brainly.com/question/32399048
#SPJ11
help me brain pt Part 3
Answer:
4,7
Step-by-step explanation:
Answer:
I'm pretty sure the answer is 28. you take 4x7 and that gives you the answer
last year the enrollment for drama club was 103 students. this year the enrollment is 87 students. what is the percent of change? round to the nearest tenth if necessary
The percent of change is approximately -15.5% (rounded to the nearest tenth).
To find the percent change between last year's enrollment and this year's enrollment, we can use the following formula
percent change = [(new value - old value) / old value] x 100%
where "new value" is the enrollment for this year, and "old value" is the enrollment for last year
Plugging in the numbers, we get:
percent change = [(87 - 103) / 103] x 100%
percent change = (-16 / 103) x 100%
percent change = -15.53%
Therefore, the percent of change is approximately -15.5% . This means that there was a decrease of about 15.5% in the enrollment for the drama club from last year to this year.
Learn more about percentage change here
brainly.com/question/28934392
#SPJ4
Can all one-variable inequalities be simplified to a two-step inequality?
Next , solve as you would solve any two -step inequality. Since 2 is added to , you can get by itself on one side of the inequality by subtracting 2 from both sides. Then, to get by itself on one side of the inequality, you need to multiply both sides by 2.D
Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).
option C.
Which ordered pair can be plotted together?The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is determined as follows;
The four points include;
A = (1, 2)
B = (2, - 3)
C = (-2, - 2)
D = (-3, 1)
The ordered pair that can be plotted together with these four points, must fall withing these coordinates. Going by this condition we can see that the only option that meet this criteria is;
(2, - 1)
Thus, the ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).
Learn more about ordered pairs here: https://brainly.com/question/30467126
#SPJ1
what are all the possible values of b that would make the following polynomial factorable? x^2+bx-8
Answer: -7, -2, 2, 7
(3.2 + 6.8)x - (36 divided by 4)x PLEASE HELPPP
Answer:
i dont no but what i got was 10x+144d^3 but do u want to sovle for x i got u X
Step-by-step explanation:
C. Assume you are putting 10 gallons of gas a week in your car for 4 weeks at $2.25 a
gallon. How much are you spending on gas every month? |I
Answer:
22.50
Step-by-step explanation:
Consider a velocity field where the x and y components of velocity are given by u = cy/(x2+y2) and v =-cx/(x2+y2) where c is a constant. This velocity field is called vortex flow Obtain the equations of the streamlines. For the vortex flow, calculate the time rate of change of the volume of a fluid element per unit volume. For the vortex flow, calculate the vorticity. a) b) c) Hint: For convenience use polar coordinates.
a) The equations of the streamlines are: r = c sin(θ)/constant; r = -c cos(θ)/constant. b) For the vortex flow, the time rate of change of the volume of a fluid element per unit volume is zero. c) For the vortex flow, the vorticity is (2 c/r2)e_r.
a) The equations of the streamlines can be obtained by setting the velocity field equal to a constant. This means that u = cy/(x2+y2) = constant and v =-cx/(x2+y2) = constant. To simplify these equations, we can use polar coordinates where x = r cos(θ) and y = r sin(θ). Substituting these into the equations for u and v gives us:
u = c sin(θ)/r = constant
v = -c cos(θ)/r = constant
Solving these equations for r gives us the equations of the streamlines:
r = c sin(θ)/constant
r = -c cos(θ)/constant
b) The time rate of change of the volume of a fluid element per unit volume can be calculated using the divergence of the velocity field. The divergence of the velocity field in polar coordinates is given by:
∇ ⋅ u = (1/r)(∂(r u_r)/∂r + ∂(r u_θ)/∂θ)
Substituting the expressions for u_r and u_θ in terms of u and v gives us:
∇ ⋅ u = (1/r)(∂(r (u cos(θ) + v sin(θ)))/∂r + ∂(r (-u sin(θ) + v cos(θ)))/∂θ)
Substituting the expressions for u and v in terms of c, r, and θ gives us:
∇ ⋅ u = (1/r)(∂(r (c sin(θ)/r cos(θ) - c cos(θ)/r sin(θ)))/∂r + ∂(r (-c sin(θ)/r sin(θ) - c cos(θ)/r cos(θ)))/∂θ)
Simplifying this expression gives us:
∇ ⋅ u = 0
This means that the time rate of change of the volume of a fluid element per unit volume is zero for the vortex flow.
c) The vorticity of the vortex flow can be calculated using the curl of the velocity field. The curl of the velocity field in polar coordinates is given by:
∇ × u = (1/r)(∂(r u_θ)/∂r - ∂u_r/∂θ)e_r + (∂u_r/∂θ - ∂u_θ/∂r)e_θ
Substituting the expressions for u_r and u_θ in terms of u and v gives us:
∇ × u = (1/r)(∂(r (-u sin(θ) + v cos(θ)))/∂r - ∂(u cos(θ) + v sin(θ))/∂θ)e_r + (∂(u cos(θ) + v sin(θ))/∂θ - ∂(-u sin(θ) + v cos(θ))/∂r)e_θ
Substituting the expressions for u and v in terms of c, r, and θ gives us:
∇ × u = (1/r)(∂(r (-c sin(θ)/r sin(θ) - c cos(θ)/r cos(θ)))/∂r - ∂(c sin(θ)/r cos(θ) - c cos(θ)/r sin(θ))/∂θ)e_r + (∂(c sin(θ)/r cos(θ) - c cos(θ)/r sin(θ))/∂θ - ∂(-c sin(θ)/r sin(θ) - c cos(θ)/r cos(θ))/∂r)e_θ
Simplifying this expression gives us:
∇ × u = (2 c/r2)e_r
This means that the vorticity of the vortex flow is (2 c/r2)e_r.
For more such questions on Velocity & vorticity.
https://brainly.com/question/30089746#
#SPJ11
plz help....... thx :0
Answer:
You have the correct answer
y = -3x + 6
Step-by-step explanation:
to see if you chose the correct equation just substitute the x value in for x and solve the equation to see if you get the correct y value
ex:
-2 , 12
y = -3x + 6
y = -3 (-2) + 6
y = 6 + 6
y = 12
1)l -2y - 9 = - 15 + 4y
Show work
Answer:
-2y-4y=-15+9-1
-6y=-7
Step-by-step explanation:
you can go ahead and move the -6 over to make it
y=-7/6
y=-1.17
what does the equation y = x2 represent as a curve in the set of real numbers2? • circle • line • parabola
• hyperbola
• ellipse
The equation y = x² represents a curve in the set of real numbers2 called a parabola. Hence, the correct option is: Parabola.
What is a parabola?
A parabola is a curve that is shaped like an arch and has one axis of symmetry. The graph of a parabola is U-shaped, and it can open up or down. It is a conic section in geometry, a section of a cone that intersects at a particular angle.
How can you sketch a parabola?
To sketch a parabola, one can use the following steps:
Draw the axis of symmetry and plot the vertex on the line.
Use the axis of symmetry to plot at least two points on one side of the vertex. Then, plot the same points on the other side of the vertex.
Draw a curve through the plotted points that passes through the vertex.
Finally, sketch the graph in both directions until the graph becomes infinitely small or too large.
A circle is represented by \(x^{2} +y^{2} =r^{2}\)
A line is represented by y= mx+ c
Hence, the correct option is: Parabola.
Learn more about parabola here:
https://brainly.com/question/11911877
#SPJ11
A random sample of adults were asked whether they prefer reading an e-book over a printed book. The survey resulted in a sample proportion of p′=0.14, with a sampling standard deviation of σp′=0.02, who preferred reading an e-book.
Answer:
The confidence interval is (0.1008, 0.1792)
Step-by-step explanation:
According to the question, the data provided is as follows
p′=0.14
sampling standard deviation of σp′= 0.02
Based on the above information
The computation of the 95% confidence interval for the true or correct proportion is
Here we apply the z value of 95% confidence interval i.e. 1.96
Now the confidence interval is
\(= (pcap - z\times sigma, pcap + z\times sigma)\\\\= (0.14 - 1.96\times 0.02, 0.14 + 1.96\times 0.02)\\\\= (0.1008, 0.1792)\)
81x^6-(y+1)^2 what are the U and V
The simplified form of the expression \(81x^6 - (y + 1)^2\) in terms of U and V is 729x^6 - V^2.
In this question, we are given specific values for U and V and asked to express the given expression in terms of those values.
To simplify the expression using the given values, we substitute \(U = 3x^3\)and V = y + 1 into the original expression:
\(81x^6 - (y + 1)^2\)
Replacing U and V:
\(81(3x^3)^2 - (V)^2\)
Simplifying:
\(81 \times 9x^6 - V^2\)
\(729x^6 - V^2\)
Therefore, the simplified form of the expression \(81x^6 - (y + 1)^2\) in terms of U and V is\(729x^6 - V^2.\)
In this way, we can represent the original expression in a simplified form using the assigned values for U and V.
For similar question on expression.
https://brainly.com/question/723406
#SPJ8
Consider the expression: \(81x^6 - (y + 1)^2\)
If\(U = 3x^3\) and V = y + 1, what is the simplified form of the expression in terms of U and V?
In this question, we are given specific values for U and V and asked to express the given expression in terms of those values.
Easy Cooking is a cooking supply company. Last year, the company sold 23,100 ovens. This year, they sold 8% fewer ovens than that. How many ovens did they sell this year?
Almost 9 over 11 of the total electricity supplied to a town is used in farms and houses. Determine the decimal equivalent of 9 over 11.
Use words to explain if the decimal terminates or repeats.
Answer: .81
Step-by-step explanation: divide 9 and 11
Please help meeeeeeeeeeeeeeee
Answer:
1) B
2) D
3) A
4) B
Step-by-step explanation:
We use a closed/filled in dot in math to represent an inequality where we have ≤ or ≥ and an open dot when its < or >. This is to represent that from the inequality we are also including the = component of the inequality.
After you know this, its pretty simple to work out which way the numbers go on the number line when its greater or less than depending on the question
Please help i'm very confused :')
Answer:
Mean: 76
Median: 69
Mode: 63
Range: 46
Standard deviation: 15.5
Step-by-step explanation:
Given:
Mean = 62Median = 55Mode = 49Range = 46Standard deviation = 15.5If each value in the data set is increased by a constant k, the mean, median, and mode will be increased by k.
The range and standard deviation will remain unchanged.
Therefore, if each value in the data set is increased by 14:
Mean: 62 + 14 = 76Median: 55 + 14 = 69Mode: 49 + 14 = 63Range: 46Standard deviation: 15.5