Answers
Answer:
A. x ≥ 21 2/3
Step-by-step explanation:
You can start by subtracting 55 from both sides.
26 -6/5x ≤ 0
Now, add 6/5x to both sides.
26 ≤ 6/5x
Multiplying both sides by 5/6 will give the value of x.
26(5/6) ≤ x
65/3 ≤ x . . . . . simplify
x ≥ 21 2/3 . . . . . write as mixed number
Related Questions
Select the correct answer.
Which is a measure of the efficiency of an investment?
O A.
О в.
O C.
return rate
return on investment
efficiency coefficient
Answers
Option (B): Return on investment is a measure of the efficiency of an investment.
What is meant by return on investment?
A ratio between net income and investment is known as return on investment or return on costs. A high ROI indicates that the returns on the investment outweigh the costs. ROI is used as a performance metric to assess an investment's efficiency or to compare the effectiveness of multiple distinct investments.
Investment efficiency is an essential topic because firms with better investment efficiency are related to reduced agency problems which suggests that aligning the interest of management and shareholders of the firms minimises the risk of deviating from the expected level of investment.
Therefore the return on investment gives the measure of the efficiency of an investment.
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3. Relations
Indicate the number of roots for the
equation that is modelled by the graph.
Answers
The relation and equation that is modelled by the graph is y = x - 1.
To determine the relation and equation that is modelled by the graph, we must analyze the characteristics of the graph.The graph is a straight line that passes through the points (0, -1) and (4, 3).
The slope of the line can be determined by using the slope formula:slope = (y2 - y1) / (x2 - x1) = (3 - (-1)) / (4 - 0) = 4/4 = 1
Therefore, the slope of the line is 1. We can use the point-slope form of the equation of a line to determine the equation of the line.y - y1 = m(x - x1)
where y1 = -1, x1 = 0, and m = 1Substituting these values, we get:y - (-1) = 1(x - 0)y + 1 = x Simplifying this equation, we get the relation y = x - 1.
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I need some help with this problem
Answers
Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))
please help me with my geometry i cant fail this class or i’ll have to move out of my parents house :(
Answers
Applying the tangent and the circle theorems, we have:
22. x ≈ 9.4; 23. Perimeter of triangle GHI = 168 units
24. m<NSR = 110°; 25. x = 10
How to Find the Missing Measures Using Circle and Tangent Theorems?22. Based on the tangent theorem, the triangle is a right triangle since the line is tangent to the radius of the circle. Therefore, based on the Pythagorean theorem, we have:
x = √[(7.4 + 4.6)² - 7.4²]
x ≈ 9.4
23. JH and HK are tangents, therefore they are equal. Thus:
7x + 4 = 13x - 20
7x - 13x = -4 - 20
-6x = -24
x = 4
Perimeter = GI + GJ + JH + HK + KI
GI = 52
HK = JH = 7x + 4 = 7(4) + 4 = 32
KI = 15
GJ = 52 - 15 = 37
Perimeter of triangle GHI = 52 + 37 + 32 + 32 + 15 = 168 units
24. Based on the angle of intersecting chords theorem, we have:
m<NSR = 1/2(170 + 50)
m<NSR = 110°
25. Based on the inscribed angle theorem, we have:
2(4x - 5) + 290 = 360
Solve for x:
8x - 10 + 290 = 360
8x = 360 - 280
8x = 80
x = 10
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Which equation is correct?
75 × 4 = 70 + 5 × 4
75 × 4 = 70 × 4 + 5 × 4
75 × 4 = 700 × 4 + 5 × 4
75 × 4 = 70 × 4 + 5
Answers
75 x 4= 70 + 5 x 4
If I travel 24 miles in three hours, at this rate, how many miles of the bike travel in 10 hours?
Answers
To answer your question, you need to find the rate of bike travel first. The rate is the ratio of distance to time, so you can divide the distance by the time to get the rate. In this case, the rate is 24 miles / 3 hours = 8 miles per hour. This means that the bike travels 8 miles every hour. To find how many miles the bike travels in 10 hours, you can multiply the rate by the time. In this case, the distance is 8 miles per hour x 10 hours = 80 miles. So, the bike travels 80 miles in 10 hours at this rate.
The average rate of bike travel in the United States is about 1% of all trips while in the United Kingdom it is about 2%. The average distance cycled per year in the United States is about 9 billion miles, while in the United Kingdom it is about 3.3 billion miles.
Hope this helps you, bye! :D
Answer:
The bike travels 80 miles in 10 hours.
Step-by-step explanation:
We need to break this up into units.
To do this, we have to find how many miles the bike can travel in per hour.
This can be done by dividing 24 miles by three hours:
24/3 = 8
This is equal to 8 which means the bike travels 8 miles per hour.
Now, we can calculate how many miles the bike travels in 10 hours by multiplying by 10.
8*10 = 80
Therefore, the bike travels 80 miles in 10 hours.
store A charges 12.50 for a custom shirt with 0.40 per each custom character store b charges 14.75 for the same shirt but charges 0.25 per each custom characyer would make the cost from both stores the same
Answers
Answer:
15 shirts
Step-by-step explanation:
Store A charges 12.50 for a custom shirt with 0.40 per each custom character. Store B charges 14.75 for the same shirt but charges 0.25 per each custom character would make the cost from both stores the same
A: 12.5 + 0.40x
B: 14.75 + 0.25x
12.5 + 0.40x = 14.75 + 0.25x
subtract 12.5 from both sides:
12.5 + 0.40x - 12.5 = 14.75 + 0.25x - 12.5
0.40x = 2.25 + 0.25x
subtract 0.25x from both sides:
0.40x - 0.25x = 2.25 + 0.25x - 0.25x
0.15x = 2.25
divide both sides by 0.15:
0.15x/0.15 = 2.25/0.15
x = 15
Carlos has an aquarium which is 45 cm long, 32 cm wide, and 35 cm high. How much water can the aquarium hold?
Answers
Answer:
volume =l×b×h
45cm×32cm×35cm=48,960cm³
Econo motel charges $260 for 4 nights. At that rate, how much would 7 nights cost
Answers
Divide the cost for 4 nights by 4 to get cost per night.
260/4 = 65 per night.
Multiply cost per night by 7:
65 x 7 = 455
It would cost $455 for 7 nights.
WVTU is a television station that has 20 thirty-second advertising slots during their regularly scheduled programming each evening. The station is now selling advertising for the first few days in November. They could sell all the slots immediately for $4,500 each, but because November 7 will be an election day, the station manager knows she may be able to sell slots at the last minute to political candidates in tight races for a price of $8,000 each. The demand for these last minute slots is estimated as follows:
8 9 10 11 12 13 14 15 16 17 18 19
Probability 0.03 0.05 0.1 0.15 0.2 0.15 0.1 0.05 0.05 0.05 0.05 0.02
Slots not sold in advance and not sold to political candidates at the last minute can be sold to local advertisers at a price of $2,000.
a. If the station manager sells all the advertising slots in advance, how much revenue will the station receive?
b. How many advertising slots should be sold in advance if the station manager wants to maximize expected revenue?
c. If the station manager sells in advance the number of slots identified in the previous question, what is the probability that the total revenue received will exceed the amount identified in part a where all slots are sold in advance?
Answers
Answer:
a. $90,000
b. 15 advertisement slots
c. 0.53
Step-by-step explanation:
Let the purchase price of the slots, c = 4,500
The salvage value of the slots, s = 2,000
The selling price of the slots, p = 8,000
a. If the store manager sells all the advertising slots in advance, the revenue received, 'R', is given as follows;
R = The number of slots, n × The purchase price for selling immediately, c
∴ R = 20 × $4,500 = $90,000
The revenue the station will receive by selling all the advertising slots in advance, R = $90,000
b. The Cost of Overage, \(C_o\) = Purchase price - Salvage value
∴ The Cost of Overage, \(C_o\) = 4,500 - 2,000 = 2,500
The Cost of Underage, \(C_u\) = Selling price - Purchase price
∴ The Cost of Underage, \(C_u\) = 8,000 - 4,500 = 3,500
P; 0.03, 0.05, 0.1, 0.15, 0.2, 0.15, 0.1, 0.05, 0.05, 0.05, 0.05, 0.02
With help of MS Excel, we get the following cumulative frequency
F(Q); 0.03, 0.08, 0.18, 0.33, 0.53, 0.68, 0.78, 0.83, 0.88, 0.93, 0.98, 1
The expected monetary value for the decision to sell the 8th slot at the last minute is given by the following relation;
\(C_u\) × [1 - F(Q)] - \(C_o\) × F(Q)
Where F(Q) = The cumulative frequency for the 8th stock
Therefore, we have;
3,500 × (1 - 0.03) - 2,500 × 0.03 = 3,300
For the 8th slot, the TV station is expected to make an extra $3,300
Using MS Excel, we get;
For the 9th slot, the profit over the purchase price = $3,020
Fot the 10th slot, the profit over the purchase price = $2,420
The profit over the purchase price for the 11th slot = $1,520
The profit over the purchase price for the 12th slot = $320
The profit over the purchase price for the 13th slot = $(-580)
The 14th = $(-1,180)
15th = $(-1,480)
16th = $(-1,780)
17th = $(-2,080)
18th = $(-2,380)
19th = $(-2,500)
Therefore, to maximize profit, only the 8th, 9th, 10th, 11th, and 12th, slots which are 5 slots should be sold late while 20 - 5 = 15 slots should be sold in advance
c. The probability that the total revenue will exceed the identified amount in part 'a' is the cumulative probability at the 12th slot which is given as follows;
P(D ≤ 12) = F(12) = 0.53.
The probability that the total revenue will exceed the identified amount in part 'a' is the cumulative probability at the 12th slot is 0.53.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
Given information
The demand for these last minute slots is estimated
8 9 10 11 12 13 14 15 16 17 18 19
Probability 0.03 0.05 0.1 0.15 0.2 0.15 0.1 0.05 0.05 0.05 0.05 0.02
The purchase price of the slots = 4,500
The salvage value of the slots = 2,000
The selling price of the slots = 8,000
a. The revenue received
R = The number of slots × The purchase price of the slot
R = 20 × $4,500 = $90,000
The revenue the station will receive by selling all the advertising slots in advance, R = $90,000
b. The Cost of Overage = Purchase price - Salvage value
The Cost of Overage, = 4,500 - 2,000 = 2,500
The Cost of Underage, = Selling price - Purchase price
The Cost of Underage, = 8,000 - 4,500 = 3,500
Probability 0.03, 0.05, 0.1, 0.15, 0.2, 0.15, 0.1, 0.05, 0.05, 0.05, 0.05, 0.02
Cumulative frequency
F(Q); 0.03, 0.08, 0.18, 0.33, 0.53, 0.68, 0.78, 0.83, 0.88, 0.93, 0.98, 1
The expected monetary value for the decision to sell the 8th slot at the last minute
The Cost of Underage × [1 - F(Q)] - × F(Q)
Where F(Q) = The cumulative frequency for the 8th stock
Therefore, we get
3,500 × (1 - 0.03) - 2,500 × 0.03 = 3,300
For the 8th slot, the TV station is expected to make an extra $3,300
For the 9th slot, the profit over the purchase price = $3,020
For the 10th slot, the profit over the purchase price = $2,420
Similarly,
The profit over the purchase price for the 11th slot = $1,520
The profit over the purchase price for the 12th slot = $320
The profit over the purchase price for the 13th slot = $(-580)
The profit over the purchase price for the 14th = $(-1,180)
The profit over the purchase price for the 15th = $(-1,480)
The profit over the purchase price for the 16th = $(-1,780)
The profit over the purchase price for the 17th = $(-2,080)
The profit over the purchase price for the 18th = $(-2,380)
The profit over the purchase price for the 19th = $(-2,500)
Therefore, only the 8th, 9th, 10th, 11th, and 12th slots should be sold in advance to maximize profit.
c. The probability that the total revenue will exceed the identified amount in part 'a' is the cumulative probability at the 12th slot.
P(D ≤ 12) = F(12) = 0.53.
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19. If a school board determines that there should be 3 teachers for every 50 students, how many teachers are needed for an enrollment of 5400 students?
Answers
Answer:
324 teachers
Step-by-step explanation:
3 teachers of every 50 students
__ teachers of 5400 students
so,
\(5400 \div 50 = 108\)
therefore,
\(3 \times 108 = 324\)
Joe is asked to prove that the sum of the interior angles (, , and ) of the triangle he has drawn equals 180°. His triangle is represented in the diagram above, and his work is shown below.
Answers
The angles <1, <2, and <3 will not add up to 180 degrees. The angles <1 and <2 are alternate interior angles, and the angles <2 and <3 are also alternate interior angles, AB is parallel to CD.
What is angle sum property of triangle?The angle sum property of a triangle states that the sum of the interior angles of a triangle is always equal to 180 degrees. This means that if you measure the angles inside any triangle and add them up, the result will always be 180 degrees. This property holds true for all types of triangles, whether they are equilateral, isosceles, or scalene.
To understand this property, consider a triangle ABC with interior angles angle A, angle B, and angle C. If we draw a line segment from vertex A to a point D on side BC such that it is parallel to the side AB, then we can see that angle A and angle C are alternate interior angles of the parallel lines AB and CD. Similarly, angle B and angle C are alternate interior angles of the parallel lines BC and AD.
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. A cocoa blender makes a profit of 30% be selling a super mix cocoa at Kshs.650 for 250 grams tin. He makes a super mix cocoa by blending two varieties of cocoa., A and which cost him Kshs. 1 800 and Kshs.2 400 per kg respectively. B In what proportion the cocoa types A and B mixed? were (3 marks)
Answers
Answer:
The cost price of 250 grams of super mix cocoa is Kshs.650/1.3=Kshs.500.
The cost price of 1 kg of super mix cocoa is Kshs.500*4=Kshs.2000.
If x kg of cocoa A is mixed with (1-x) kg of cocoa B, then the cost price of the mixture is Kshs.1800x+Kshs.2400(1-x).
Therefore, Kshs.1800x+Kshs.2400(1-x)=Kshs.2000.
Solving for x, we get x=2/3.
Therefore, the cocoa types A and B are mixed in the proportion 2:1.
Abby is filling a 100 quart dog bath using a 2 gallon bucket. how many buckets will it take to fill the dog bath?
Answers
( or 12.5 buckets)
Step by step
We know the bath holds 100 quarts
We know 100 quarts is equal to 25 gallons
( 4qts to 1 gallon)
If Abby is using a 2 gallon bucket, divide 25 gallons by 2
25/2 = 12 1/2 buckets to fill the bath
You are choosing between two health clubs. Club A offers membership for a fee of $12 plus a monthly fee of $28. Club B offers membership for a fee of $20 plus a
monthly fee of $26. After how many months will the total cost of each health club be the same? What will be the total cost for each club?
In __ months the total cost of each health club will be the same.
Answers
A has fixed one time fee of $12 and if you go to it say "m" months you pay $28 for each month, so your total cost at A is really 12 + 28m.
B has a fixed one time fee of $20 and if you go to it "m" months you pay $26 for each month, so you total cost at B is 20 + 26m.
how many months for the cost to be the same?
\(\stackrel{A}{12+28m}=\stackrel{B}{20+26m}\implies 12+2m=20\implies 2m=8\implies m=\cfrac{8}{2}\implies m=4\)
well, since the cost for both is the same, we can just get A's, knowing that B is the same
\(12+28(4)\implies 12+112\implies 124\)
write and solve an inequality to find the possible values of x
Answers
The inequality that represents the value of x is (b) x > 80
Writing and solving the inequality for xfrom the question, we have the following parameters that can be used in our computation:
The figure
The general rule is that
The larger the side length, the larger the angle opposite it
using the above as a guide, we have the following:
1/8x > 10
So, we have
x > 80
Hence, the inequality is x > 80
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Find the missing numbers
Answers
Based on the information provided, the missing number would be number 6.
How to find the missing numbers?When it comes to finding missing numbers, the first step is to decipher or identify the pattern. This can be either a sequence of numbers or the application of a specific mathematical operation such as subtraction or addition.
In this case, we can see there is a sequence of numbers that seems to go from 1 to 9. However, if you check carefully, the number 6 is missing, which is the number you need to add.
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Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answers
Answer:
Step-by-step explanation:
this is hard lets see if you well be able to do it
Answers
Answer:
I did the math the answer is 90
Step-by-step explanation:
if you multiply 15 by 6 you get 90
. Mr. View is 8 years older than Ms. Sun. In 7 years, the sum of their ages will be 110. How old are they now?
Answers
Help plz...plz don’t steal points..
Answers
Answer:
C is the correct answer
Step-by-step explanation:
You just distribute the 5 to the following exponents.
Math Which expressions represent 9 divided by the sum of 1 and 2? Check all that are true. 09/(1+2) 9+1+2 I (9 - 1) + 2 (1 + 2) = 9 09+ (1 + 2)
Answers
Answer: 9/(1+2)
Hope it helps :)
PLEASE HELP- 25 points-what is the circumference of the circle. Diameter =9cm
Answers
Answer:
9π cm - exact value
28.26 cm - approximate value
Step-by-step explanation:
C = πd =9π cm - exact value
or
C=9π≈ 28.26 cm - approximate value
An instrumental track has 17 beats in 14 seconds. What is its tempo in terms of beats per minute (BPM)?
Answers
Answer:
17x14=378Step-by-step explanation:
all you have to do is multiply 17 * 14 and that's how you got your answer
can someone assist me on this
Answers
Answer:
The perimeter of the triangle would be 21.2. The area would be 18 ft^2
Step-by-step explanation:
Hope this helps :)
Attached is the work I did to get the answers
If EH = w and GH = 4w - 51, what is GH?
Answers
Answer:
Step-by-step explanation:
EH=w
then it is as simple as pluggin in
gh=4(eh)-51
find the area of the parallelogram. The figure is not drawn to scale.
Answers
Answer:
1330 in.
Step-by-step explanation:
38 x 35 = 1330
Answer:
1330
Step-by-step explanation:
area = b x h
base (38)
height (35)
38 x 35 = 1330
Use the function f(x) to answer the questions:
F(x)=2x²-x-10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show
work. (3 points)
Part C: What are the steps you would use to graph fx)? Justify that you can use the answers obtained in Part A and Part B to draw the graph (5 point
Answers
Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:
2x² - x - 10 = 0
This equation can be factored as:
(2x + 5)(x - 2) = 0
Setting each factor equal to zero, we get:
2x + 5 = 0 => 2x = -5 => x = -5/2
x - 2 = 0 => x = 2
Therefore, the x-intercepts of the graph of f(x) are x = -5/2 and x = 2.
Part B: The vertex of the graph of f(x) can be determined using the formula x = -b/2a, where a and b are the coefficients of the quadratic equation in standard form (ax² + bx + c = 0).
In this case, a = 2 and b = -1. Plugging these values into the formula, we have:
x = -(-1) / (2 * 2) = 1/4
To determine if the vertex is a maximum or a minimum, we can examine the coefficient of the x² term. Since the coefficient a is positive (a = 2), the parabola opens upwards, and the vertex represents a minimum point
Therefore, the vertex of the graph of f(x) is (1/4, f(1/4)), where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).
Part C: To graph f(x), we can follow these steps:
Plot the x-intercepts: Plot the points (-5/2, 0) and (2, 0) on the x-axis.
Plot the vertex: Plot the point (1/4, f(1/4)) as the vertex, where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).
Determine the direction of the graph: Since the coefficient of the x² term is positive, the graph opens upwards from the vertex.
Determine additional points: Choose a few x-values on either side of the vertex and calculate their corresponding y-values by substituting them into the equation f(x). Plot these points on the graph.
Draw the graph: Connect the plotted points smoothly, following the shape of the parabola. Ensure the graph is symmetrical with respect to the vertex.
The answers obtained in Part A (x-intercepts) and Part B (vertex) provide crucial points to plot on the graph, helping us determine the shape and position of the parabola.
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The x-intercepts from the graph attached are
(-2, 0) (2.5, 0)The vertex from the graph attached is
(0.25, -10.125)How to find the required parametersPart A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:
2x² - x - 10 = 0
x = (-b ± √(b² - 4ac)) / (2a)
a = 2, b = -1, c = -10
Plugging these values into the quadratic formula:
x = (-(-1) ± √((-1)² - 4 * 2 * (-10))) / (2 * 2)
x = (1 ± √(1 + 80)) / 4
x = (1 ± √81) / 4
x = (1 ± 9) / 4
x₁ = (1 + 9) / 4 = 10 / 4 = 2.5
x₂ = (1 - 9) / 4 = -8 / 4 = -2
Therefore, the x-intercepts of the graph of f(x) are 2.5 and -2.
Part B
To find the coordinates of the vertex, we can use the formula:
x = -b / (2a)
x = -(-1) / (2 * 2) = 1 / 4 = 0.25
we substitute this value back into the original function:
f(0.25) = 2(0.25)² - 0.25 - 10
f(0.25) = 0.125 - 0.25 - 10
f(0.25) = -10.125
Therefore, the vertex of the graph of f(x) is located at (0.25, -9.125).
Part C: The steps to graph f(x) include:
Plotting the x-intercepts: Based on the results from Part A, we know that the x-intercepts are 2.5 and -2. We mark these points on the x-axis.
Plotting the vertex: Using the coordinates from Part B, we plot the vertex at (0.25, -9.125). This represents the minimum point of the graph.
Drawing the shape of the graph: Since the coefficient of the x² term is positive, the graph opens upward. From the vertex, the graph will curve upward on both sides.
Additional points and smooth curve: To further sketch the graph, we can choose additional x-values and calculate their corresponding y-values using the equation f(x) = 2x² - x - 10. Plotting these points and connecting them smoothly will give us the shape of the graph.
By using the x-intercepts and vertex obtained in Part A and Part B, we have the necessary information to draw the graph accurately and show the key features of the quadratic function f(x)
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Are the following figures similar?
Trapezoids ABCD and EFGH are shown. Angle A equals 137 degrees, Angle B equals 90 degrees, Angle C equals 90 degrees, Angle D equals 43 degrees, Angle E equals 136 degrees, Angle F equals 90 degrees, Angle G equals 90 degrees, Angle H equals 44 degrees.
Answers
No, the trapezoids are not similar because their corresponding angles do not have the same measures.
The given trapezoids ABCD and EFGH can be analyzed to determine if they are similar. Similarity in geometric figures implies that their corresponding angles are congruent, and their corresponding sides are proportional.
Let's examine the angles of the trapezoids:
In trapezoid ABCD:
Angle A = 137 degrees
Angle B = 90 degrees
Angle C = 90 degrees
Angle D = 43 degrees
In trapezoid EFGH:
Angle E = 136 degrees
Angle F = 90 degrees
Angle G = 90 degrees
Angle H = 44 degrees
By comparing the angles, we can observe that angles B and F are both right angles (90 degrees) in both trapezoids. Additionally, angles C and G are also right angles (90 degrees) in both trapezoids.
However, angles A and E, as well as angles D and H, do not have the same measures. Angle A measures 137 degrees in trapezoid ABCD, while angle E measures 136 degrees in trapezoid EFGH. Similarly, angle D measures 43 degrees in trapezoid ABCD, while angle H measures 44 degrees in trapezoid EFGH.
Since the corresponding angles in the two trapezoids do not have the same measures, we can conclude that trapezoids ABCD and EFGH are not similar.
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3 2/3 + 6 2/4 =
And can you help me please
Answers
Answer:
sorry i answered like that but I really need points so this would be helpful
Step-by-step explanation: