Answer:
41
Step-by-step explanation:
Divide 2818 by 70 and it comes out to: 40.2571429 it is not 40 because their is still some left over so there will be 41 ferry's and one of them will not be a full ride!
What is graph for the equation y=-4x+1
Answer: The line starts at 1 positive, then from there go -4 (so go to the left) then 1 down from that point.
Step-by-step explanation: the problem is supposed to have been Y= -4/1 +1
Selling Price = $ 504 and Gain % = 12%
Answer:
Step-by-step explanation:
sp = 504
gain = 12%
in this case
sp =100%+12%=504
112%=504
1%=504/112 =4.5
100%=450
so cost =$450
Hope im correct, if i am im glad to be of service.
The drama club is selling tickets to their play to raise money for the show's expenses.Each student ticket sells for $5 and each adult ticket sells for $7.50. The auditoriumcan hold at most 125 people. The drama club must make no less than $790 fromticket sales to cover the show's costs. If 73 adult tickets were sold, determine allpossible values for the number of student tickets that the drama club must sell inorder to meet the show's expenses. Your answer should be a comma separated list ofvalues. If there are no possible solutions, submit an empty answer.
Let
x ------> number of student tickets that the drama club must sell
so
we have
\(x+73\leq125\)\(\begin{gathered} x\leq125-73 \\ x\leq52 \end{gathered}\)and
\(5x+7.50\cdot73\ge790\)\(\begin{gathered} 5x\ge790-547.5 \\ 5x\ge242.5 \\ x\ge48.5 \end{gathered}\)the values of x lie on the interval [48.5,52]
therefore
all possible values for the number of student tickets are on the interval
[49,52]
Integers greater than or equal to 49 and less than or equal to 52possibles values are 49,50,51,52Decide which of the two given prices is the better deal and explain why. You can fill a 12-gallon tank of gas for $39.43 or buy gas for $3.20/gallon.
Answer:
$3.20/gallon
Step-by-step explanation:
to fill up your tank at $3.20/gallon only costs $38.40
the unit rate for each option. 9. Option A: $15.40 for 3.5 lbs of gummy bears
The unit rate for Option A is $4.4 per pound of gummy bears.
The unit rate for each option is a mathematical expression that compares two quantities of different measures by dividing one quantity by the other.
The unit rate is used to determine how much an item costs per unit of measure.
To find the unit rate for each option, we can use the following formula: Unit rate = price ÷ weight Option A: $15.40 for 3.5 lbs of gummy bears Unit rate = 15.40 ÷ 3.5Unit rate = $4.4 per pound of gummy bears.
Therefore, the unit rate for Option A is $4.4 per pound of gummy bears.
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Here is the complete question given below:
The unit rate for each option. 9. Option A: $15.40 for 3.5 lbs of gummy bears. $7.65 for 1.8 Ibs of gummy bears.
Which is the same length as 65 km
Answer:
65000 metres
Step-by-step explanation:
65*1000=65000
Deion was the lucky journalist assigned to cover the Best Beard Competition. He recorded the contestants' beard colors in his notepad. Deion also noted if the contestants were signed up for the mustache competition later in the day. Dark beard Light beard Only in the beard competition 4 3 Also in the mustache competition 3 2 What is the probability that a randomly selected contestant is only in the beard competition and has a light beard?
A group of people were asked how many people live in their household. How many said they have 3 or more in their household?
Answer:
11
Step-by-step explanation:
we know this because there are 5 people saying they have 3 and 6 people saying they have between 4-7
The curvature of a circle is inversely proportional to its radius. What is the exact circumference of a circle with one-third the curvature of a circle of radius 1?
The circumference of a circle with one-third the curvature of a circle of radius 1 is 18.85 units
What is circumference ?
The perimeter of a circle is known as its circumference. It is the length of the circle's whole perimeter. The diameter of a circle and the constant are multiplied to get the circumference of the circle. This measurement of a circle's circumference is necessary for someone to cross a circular park or for a circle-shaped table to have a border. The units of the circumference are the same as the units of length and it is a linear value.
If a circle has a radius of 1,
the curvature is inversely proportional to this
So, the curvature= 1
A circle with a curvature of 1/3 :
radius=3
Thus, the circumference of the circle = 2 *π * radius
= 2*π * 3
= 6π
≈ 18.85 units
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It is in the picture.
1. NO SILLY ANSWER
2. SHOW WORK
3. NO LINKS!
Thank you!
~Hocus Pocus
Answer:
x = 10
y = 20
Step-by-step explanation:
7x + 90 + 20 = 180
7x = 70
x = 10
5x + 2y = 90
50 + 2y = 90
2y = 40
y = 20
what number is the opposite of 13/5?
Answer:
-13/-5 is the opposite of 13/5. Hope this helps :)
Payton does reading homework for 3/6 of an hour . He does math homework for 2/6 of an hour . What fraction of an hour does Payton spend on his homework?
The fraction of an hour Payton spend on his homework is 5/6. Adding 3/6 from his reading homework and 2/6 from his math homework. If you also want to find how much minute he spend doing his homework it is 50 minutes. Every hour has 60 minutes. 20+30=50 which means that Payton also spend 50 minutes on his homework.
SAQ-18. The firm provides the following information: Annual requirement Cost per unit ........ Rent, tax, and insurance Insurance per order...... Required: a. EOQ ..... Rs. 20 Rs. 2 per unit ..Rs. 200 ...............100,000 units Carrying cost per unit per year ...........10% of unit price Cost per order...... ...........Rs. 300 b. Total Cost of EOQ c. Number of order
Note that the Economic Order Quantity is given as approximately 4,472.13 Units.
Economic Order Quantity, also known as Economic Purchasing Quantity, is the order quantity in inventory management that minimizes overall holding costs and ordering expenses. It is one of the most ancient traditional production scheduling models.
EOQ = √[(2 * AR* OC)/CC]
Were AR = Annual Requirement = 100,000 units
OC = Ordering Cost = Rs 20 per unit
CC = Carrying Cost = 10% of Per Unit Cost
Per Unit Cost = Rs. 2
Thus,
EOQ = √[(2 * 100,000* 20)/10% * 2]
EOQ = √[(4000000)/0.2]
EOQ = √20000000
EOQ = 4472.135955
EOQ \(\approx\) 4,472.13 Units.
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Keller Construction is considering two new investments. Project E calls for the purchase of earthmoving equipment. Project H represents an investment in a hydraulic lift. Keller wishes to use a net present value profile in comparing the projects. The investment and cash flow patterns are as follows: Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods.
Based on the net present value profile, Project H has a higher NPV than Project E.
To compare the net present value (NPV) of Project E and Project H, we need to calculate the present value of cash flows for each project and determine which one has a higher NPV. The cash flow patterns for the two projects are as follows:
Project E:
Initial investment: -$100,000
Cash flows for Year 1: $40,000
Cash flows for Year 2: $50,000
Cash flows for Year 3: $60,000
Project H:
Initial investment: -$120,000
Cash flows for Year 1: $60,000
Cash flows for Year 2: $50,000
Cash flows for Year 3: $40,000
To calculate the present value of cash flows, we need to discount them using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10%.
Using the formula method, we can calculate the present value (PV) of each cash flow and sum them up to obtain the NPV for each project:
For Project E:
PV = $40,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $60,000/(1 + 0.10)^3
PV = $36,363.64 + $41,322.31 + $45,454.55
PV = $123,140.50
For Project H:
PV = $60,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $40,000/(1 + 0.10)^3
PV = $54,545.45 + $41,322.31 + $30,251.14
PV = $126,118.90
Using the financial calculator method, we can input the cash flows and the discount rate to calculate the NPV directly. By entering the cash flows for each project and the discount rate of 10%, we find that the NPV for Project E is approximately $123,140.50 and the NPV for Project H is approximately $126,118.90.
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How many cards are in a standard deck of cards? What are their colors?
Answer:
A standard deck of cards consists of 52 cards. The colors are usually black for the spades and clubs and red for the hearts and diamonds.
Step-by-step explanation:
Answer:
There are 52 cards which are either red or black
Step-by-step explanation:
After examining the reciprocal identity for sect, explain why the function is undefined at
certain points.
The function is undefined for those values of x where the denominator is zero.
What informs the function to be undefined?The reciprocal identity for sine, cosine, and tangent states that:
sin(x) = 1/csc(x)
cos(x) = 1/sec(x)
tan(x) = 1/cot(x)
It is important to note that csc, sec, and cot are only defined for values of x where the denominator is not equal to zero.
For example, csc(x) is defined as 1/sin(x), so it is undefined for x = kπ where k is any integer and sin(x) = 0.
Similarly, sec(x) is defined as 1/cos(x) and is undefined for x = (k+1/2)π where k is any integer and cos(x) = 0. Finally, cot(x) is defined as 1/tan(x) and is undefined for x = kπ where k is any integer and tan(x) = 0.
Therefore, the reciprocal identity for sine, cosine, and tangent is only defined for certain input values, and it is undefined for those values of x where the denominator is zero.
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Question 10
A car park has 880 parking spaces.
Some of the spaces are reserved.
The ratio of reserved spaces: not reserved spaces = 1:10.
Work out the number of spaces that are not reserved.
Step-by-step explanation:
work he in a department store
From the top of an 95 meter cliff, Tim spots a hiker down below at an angle
of depression of 22 degrees. To the closest meter, how far is the hiker from
the base of the cliff?
Step-by-step explanation:
jsvsbsbbssnbshsshvsvsv
What is the equation of the line in slope-intercept form?
-2
=-=x+4
v=-15)+4
5
2
V=--x-4
5
2
V=--x+4
The equation of the line in slope-intercept form is y = 3x + 4.
We can use the combination formula to determine how many different packages can be created from a set of 24 crayons with 36 different colours.
The formula for the mixture is provided by:
n C r equals n!/r! (n-r)!
where r is the number of items we want to choose, n is the total number of items, and! stands for the factorial of a number, which is the sum of all positive integers up to that number.
In this instance, we are trying to determine how many various methods there are to choose 24 crayons from a set of 36 colours, regardless of the sequence in which they are chosen. Consequently, we can apply the following combination formula:
36 C 24 = 36! / (24! * 12!)
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receiving a direct hit will take 15% of your health score if your health score is 24 and you receive a direct hit what will be your health score after the hit
Answer: 20.4
Step-by-step explanation:
Find the total surface area of the triangular prism
shown below.
5 cm.
5 cm.
11 cm.
6 cm.
Answer:
Answer:
124.84
Step-by-step explanation:
A = ah + bh + ch + 1 /2×√( ﹣a^4 ﹣ b^4 ﹣ c^4+ 2(ab)² + 2(ac)² + 2(bc)² ) =4×7+5×7+6×7+ 1 /2×√(-4^4 - 5^4 - 6^4 + 2(4×5)² + 2(4×6)² + 2(5×6)² )
≈ 124.84313
Step-by-step explanation:
Why root 3 is irrational
Given:To find: is an irrational number. Solution: (Were p and q is a co-prime)Squaring both the side in above equationif 3 is a factor of Then, 3 will also be a factor of p {where m is a integer}Squaring both sides we getSubstitute the value of in the equation If 3 is a factor of Then, 3 will also be factor of qHence, 3 is a factor of p & q bothSo, our assumption that p & q are co-prime is wrong.So, is an "irrational number". Hence proved.
Answer:
irrational because the square root of a non-perfect square results in a non-repeating, non-terminating decimal which is what irrational numbers are described as
Step-by-step explanation:
Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.
The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).
To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:
-8m²n - 7m²n = (-m²n) (8 + 7a)
Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.
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Ten men and ten women are to be put in a row. Find the number of possible rows if Beryl, Carol, and Darryl want to stand next to each other in some order (such as Carol, Beryl, and Darryl, or Darryl, Beryl and Carol).
Answer: 6 possibilities.
Carol, Beryl, and Darryl
Carol, Darryl, and Beryl
Darryl, Carol, and Beryl
Darryl, Beryl, and Carol
Beryl, Darryl, and Carol
Beryl, Carol, and Darryl
Hope this helps :)
Consider the probability statements regarding events A and
B below.
P(A or B) = 0.3
P(A and B) = 0.2
P(AB) =0.8
What is P(B)?
A) 0.1
B) 0.375
C) 0.25
D) 0.667
The calculated value of the probability of B is (c) 0.25
How to calculate the probability of BFrom the question, we have the following parameters that can be used in our computation:
P(A or B) = 0.3
P(A and B) = 0.2
P(A/B) =0.8
First, we have
P(A/B) = P(A and B)/P(B)
Substitute the known values in the above equation, so, we have the following representation
0.2/P(B) = 0.8
So, we have
P(B) = 0.2/0.8
Evaluate
P(B) = 0.25
Hence, the probability of B is 0.25
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What is the correct order to represent 92,232
Help me pleasee! I dont understand this!
The population of a city was 10,000 in 2010. The population increase at an annual rate of 2.5% per year. Is the growth model function that represents the population of the city linear?
Answer:
The growth model that represents the population of this city is not linear--it is exponential:
\(f(t) = 10000( {1.025}^{t} )\)
\(t = 0 \: represents \: 2010\)
Hoang has worked as a nurse at Springfield General Hospital for 5 years longer than her friend Bill. Two years ago, she had been at the hospital for twice as long. How long has each been at the hospital?
5 years longer then Bill, 2x5=10.
10+2=12.
12-5=7
Hoang has be there for 12 years. Bill has for 7 years.
Identify the true statement about the given patterns.
Pattern C: 4, 5, 6, 7, 8, ...
Pattern D: 2, 3, 4, 5, 6, ...
The terms in Pattern D are 2 more than the terms in Pattern C.
The terms in Pattern D are 1 more than the terms in Pattern C.
The terms in Pattern C are 2 times the terms in Pattern D.
The terms in Pattern C are 2 more than the terms in Pattern D.
Answer:
The 4th option i.e. 'The terms in Pattern C are 2 more than the terms in Pattern D' is correct.
Step-by-step explanation:
Given the patterns
Pattern C: 4, 5, 6, 7, 8, ...
Pattern D: 2, 3, 4, 5, 6, ...
If we carefully analyze, it is clear that terms in the pattern C are 2 more than the terms in Pattern D.
In other words, if we add 2 in each term of the Pattern D, we will get the pattern C.
For example,
Pattern D: 2, 3, 4, 5, 6, ...
Now, add 2 in each term of Pattern D
i.e.
2+2 = 4
3+2 = 5
4+2 = 6
5+2 = 7
6+2 = 8
It is clear that we get the results 4, 5, 6, 7, 8 when we add 2 in each term of Pattern D.
As 4, 5, 6, 7, 8 represent Pattern C. Therefore, we conclude that the terms in Pattern C are 2 more than the terms in Pattern D.
Hence, the 4th option i.e. 'The terms in Pattern C are 2 more than the terms in Pattern D' is correct.
Answer:
4, 5, 6, 7, 8 when we add 2 in each term of Pattern D
Step-by-step explanation: