PLZ HELP ASAP I NEED YOU HELP PLZ 20 POINTS PLZ HELP ASAP
A right triangle has an area of 33 m2 and a height of 11 mm. How long is the base of the triangle?
Question 4 options:
66 nn
6 mm
55 mm
9.4 mm
Answers
9514 1404 393
Answer:
(b) 6 mm
Step-by-step explanation:
Fill in the numbers in the area formula and solve for the base length.
A = 1/2bh
b = 2A/h = 2(33 mm²)/(11 mm)
b = 6 mm
The base of the triangle is 6 mm.
Related Questions
what is the product of each equation?
\(\left(3a^{2}b^{4}\right)\left(-8ab^{3}\right)\)
\(\left(3a^{2}b^{7}\right)\left(5a^{3}b^{8}\right)\)
\(\left(-2d^{2}+s\right)\left(5d^{2}-6s\right)\)
\(\left(3x-6\right)\left(2x^{2}-7x+1\right)\))
\(\left(7x^{2}y^{3}\right)\left(3x^{5}y^{8}\right)\)
\(\left(y^{2}+3y+7\right)\left(8y^{2}+y+1\right)\)
\(\left(4s+2\right)\left(5s^{2}+10s+3\right)\)
Answers
The solution to the products of exponents is as follows;
1) -24a³b⁷
2) 15a⁵b¹⁵
3) -10d⁴ + 17sd² - 6s²
4) 6x³ - 33x² + 45x - 6
5) 21x⁷y¹¹
6) 8y⁴ + 25y³ + 60y² + 10y + 7
7) 20s³ + 50s² + 32s + 6
How to find product of exponents?The Product of Powers Property of exponents states that when we multiply two powers with the same base, we add the exponents.
1) (3a²b⁴) * (-8ab³)
= -24a³b⁷
2) (3a²b⁷) * (5a³b⁸)
= 15a⁵b¹⁵
3) (-2d² + s)(5d² - 6s)
Expanding the bracket to get;
(-10d⁴ + 5sd² + 12sd² - 6s²)
= -10d⁴ + 17sd² - 6s²
4) (3x - 6) * (2x² - 7x + 1)
= 6x³ - 33x² + 45x - 6
5) (7x²y³) * (3x⁵y⁸)
= 21x⁷y¹¹
6) (y² + 3y + 7) * (8y² + y + 1)
= 8y⁴ + 25y³ + 60y² + 10y + 7
7) (4s + 2) * (5s² + 10s + 3)
= 20s³ + 50s² + 32s + 6
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A car is traveling at 55 mph. What is the
speed of the car in feet per second (ft/s)?
Answers
Answer:
80 feet per second
Step-by-step explanation: At 55 mph, your vehicle is traveling at about 80 feet per second. Feet-per-second is determined by multiplying speed in miles-per-hour by 1.47 (55 mph x 1.47 = 80 feet per second.)
sunset lake is stocked with 2500 rainbow trout and after 1 year the population has grown to 7050. assuming logistic growth with a carrying capacity of 25000, find the growth constant , and determine when the population will increase to 12900.
Answers
The growth constant is 0.69 and the population will increase to 12900 after approximately 3.7 years.
We have, Sunset Lake is stocked with 2500 rainbow trout and after 1 year the population has grown to 7050. Assuming logistic growth with a carrying capacity of 25000,
The logistic growth model is given by the equation
dN/dt=rN[(K-N)/K]
where, dN/dt = rate of change of population with respect to time,
N = population size at time t,
r = intrinsic rate of natural increase (growth constant),
K = carrying capacity.
The population size, "N" after 1 year = 7050
The initial population, "N₀" = 2500
The carrying capacity, K = 25000
We can use the following formula to find the value of the growth constant,
r = 2.303/t{ln(N_t/N₀) }........... (1)
Where, t = time taken for the population to increase from N_0 to N_t= 1 year (given)
Substituting the given values in equation (1), we get
r = 2.303/1 ln(7050/2500) ⇒ 0.688 ≈ 0.69
The value of the growth constant is 0.69.
Now, we can use the logistic growth equation to find the time required for the population to reach 12900.
dN/dt=rN[(K-N)/K]
Given, N₀ = 2500 and K = 25000
Differentiating both sides with respect to t,
dN/dt = rN[(K-N)/K] + Ndr/dt
Substituting the values of N, r, and K in the above equation, we get,
dN/dt= 0.69N[(25000-N)/25000] + N{dN/dt}
Let the population N become 12900 at time t = t₁
Therefore, at time t = 0, the population N₀ = 2500
Also, at time t = 1, the population N₁ = 7050
Substituting these values in the above equation, we get,
dN/dt= 0.69N[(25000-N)/25000] + N₁
dN/dt= 0.69(2500)[(25000-2500)/25000] + N₁
Solving for N₁, we get, N₁ = 7825
Substituting N₁ = 7825 in the above equation,
dN/dt= 0.69(7825)[(25000-7825)/25000] + N₁
dN/dt= 3263.25/1.69 ⇒ 1930.4
Now, to find t1, we can use the following formula;
ln[(K-N₁)/(K-N₀)] = rt₁
Substituting the given values, we get,
ln[(25000-12900)/(25000-2500)] = 0.69t₁
On solving for t₁, we get;
t₁ = ln[(1575/22500)]/0.69 ≈ 3.7 years
Hence, the population will increase to 12900 after approximately 3.7 years.
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Jennifer bought a picture frame for 3x5 picture. The frame is of uniform width. The picture and the frame together cover an area of 25in^2. Find the width of the frame.
Answers
Answer:
ntnfhxuzhsbbr
Step-by-step explanation:
rnrnr rbdjuddijsj
Can someone answer my math?
Answers
Answer:
wlang mag sasagot yn HAHAH dapat para sagotan ni lolo 50pts ilagay mo HAHA
find the amount a in an account after t years given the following conditions. da dt=0.07a a(0)=7,000
Answers
To find the amount a in an account after t years, we need to solve the differential equation da/dt = 0.07a with the initial condition a(0) = 7,000.
Answer : a = 7,000 * e^(0.07t)
Separating variables, we have:
(1/a) da = 0.07 dt
Integrating both sides:
∫ (1/a) da = ∫ 0.07 dt
ln|a| = 0.07t + C1
Taking the exponential of both sides:
|a| = e^(0.07t + C1)
Since a must be positive, we can drop the absolute value:
a = e^(0.07t + C1)
Now, using the initial condition a(0) = 7,000, we substitute t = 0 and a = 7,000:
7,000 = e^(0.07 * 0 + C1)
7,000 = e^C1
Taking the natural logarithm of both sides:
ln(7,000) = C1
So, C1 = ln(7,000).
Substituting this value back into the equation, we have:
a = e^(0.07t + ln(7,000))
Simplifying further:
a = e^(0.07t) * e^(ln(7,000))
a = 7,000 * e^(0.07t)
Therefore, the amount a in the account after t years is given by the equation:
a = 7,000 * e^(0.07t)
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can yall help me with this this is due tomorrow!!
Answers
The price of the current model is $45000
6.6% of that price is equal to $2970
The price of the next model will be $47970
I hope this answer helps you :)
Find 160% of 90 ??????
Answers
Answer:144
Step-by-step explanation:
Answer:
the answer is 144
160/100×90=144
Please HELP!! Will mark brainliest!!!
Answers
Answer:
x=6
y=5
Step-by-step explanation:
15x and 90 are vertical angles and vertical angles are equal
15x = 90
Divide by 15
15x/15 = 90/15
x = 6
15x and 5x+12y are corresponding angles and corresponding angles are equal when the lines are parallel
15x= 5x+12y
Subtract 5x
15x-5x = 5x+12y-5x
10x = 12y
10(6) = 12y
60 = 12y
Divide by 12
60/12 = 12y/12
5 = y
Mr. McCoy's new ice cream shop is doing great! Last month, he sold out of his Boldly Buttered Popcorn ice cream and his Lovely Lavender Lemon ice cream. He sold x pints of Boldly Buttered Popcorn and y pints of Lovely Lavender Lemon. Each pint cost him $4 to make, and he charged $10 for each
Answers
After selling x pints of Boldly Buttered Popcorn icecream and y pints of Lovely Lavender Lemon on the charged of $10 for each, his profit equation is written as P = 6x + 6y = 6( x + y).
We have, Mr. McCoy's new ice cream shop. He sold two flavors of icecream. He sold his Boldly Buttered Popcorn ice cream and his Lovely Lavender Lemon ice cream. The quantity of sold Boldly Buttered Popcorn ice cream = x pints
The quantity of sold Lavender Lemon ice cream = y pints
Cost of each pint of ice cream = $4
Selling price of each pint of ice cream
= $10
First, total pints of icecream he sold
= pints of Boldly Buttered Popcorn ice cream+ pints of Lavender Lemon ice cream = ( x + y) pints
Now, Cost of (x + y) pints of ice cream
= $4 ( x + y)
Similarly, selling price of ( x + y ) pints of icecream = $ 10 ( x + y)
As we know, when selling price is greater than cost price then profit will occur. Equation for profit P = selling price - cost price = $ 10 ( x + y) - $4 ( x + y)
= 10 x + 10y - 4x - 4y
P = 6(x + y)
Hence, required equation is 6x + 6y.
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Complete question:
Mr. McCoy's new ice cream shop is doing great! Last month, he sold out of his Boldly Buttered Popcorn ice cream and his Lovely Lavender Lemon ice cream. He sold x pints of Boldly Buttered Popcorn and y pints of Lovely Lavender Lemon. Each pint cost him $4 to make, and he charged $10 for each. Write an equation for his profit or loss on ice cream selling.
the pythagorean theorem states that a^2 + b^2 = c^2 If A and B represent the length of the legs of a right triangle and C represents the length of the hypotenuse. Find the length of the hypotenuse Is the length of the legs are 9cm and 12cm.
Answers
Answer:
25 or 50 points is that if 25 or 20 im not
Answer:
The hypotenuse equals 15cm
solve this algebraic expression
\(16a {}^{4} - 4a {}^{2} - 4a - 1\)
![solve this algebraic expression [tex]16a {}^{4} - 4a {}^{2} - 4a - 1[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/rTNTFBv1mFwXSTiMKF2CooIqSISBg7wV.jpeg)
Answers
SOLVING STEPS
Tat-42-40-1
= baT.
(40'740#1)
=16a4 - pati)? = (a'+ zaHi) (42°- 20-1) a'+ sabtb"= atbs
a-B'= (ath) (0-1)
![solve this algebraic expression [tex]16a {}^{4} - 4a {}^{2} - 4a - 1[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/AO967Oo3RnOjKxDLTI966LlwKwrEXwt1.png)
Answer:
The factored form is,
\((4a^2+2a+1)(4a^2-2a-1)\)
Step-by-step explanation:
We have,
\(16a^4-4a^2-4a-1\\factoring,\\We\ can \ write \ 16a^4 \ as \ (4a^2)^2\\Also,\\then we have,\\(4a^2)^2-(4a^2+4a+1)\\Now, 4a^2 + 4a + 1 \ is \ a \ perfect \ square,\\4a^2 + 4a + 1 = (2a)^2 + 2(2a) + 1\\= (2a + 1)^2\\so, we \ have,\\(4a^2)^2 - (2a + 1)^2\\\)
Using the difference of square formula,
\(x^2 - y^2 = (x+y)(x-y)\\with,\\x = 4a^2,\\y = 2a+1,\\we \ get,\\(4a^2+2a+1)(4a^2-2a-1)\)
Which is the factored form,
#13 please help me with A and B !! simple algebra
Answers
After 7 months he will have $780 in his bank
Computer-based colonoscopy simulation (CBCS) training has been used to help train new gastroenterology fellows to perform colonoscopies. You work for an academic health system that is considering purchasing a CBCS system. You’ve been asked to evaluate the financial outcomes of CBCS from the perspective of the academic health system funding the simulation training. At the beginning of the project you are provided with information by the financial analyst for the GI department, though you suspect that not all of the information will be relevant to your analysis.
Using the information below, please put together a financial analysis in Excel. Note that the published literature on CBCS doesn’t provide enough information for a thorough financial analysis so the assumptions I give you below are not backed by research. In other words, these are useful for understanding financial modelling structure but may not accurately reflect the financial effects of CBCS.
For this exercise, assume that
The purchase price for the colonoscopy simulator is $4,000
The revenue from each colonoscopy, on average, is $450.
Each colonoscopy requires $200 worth of supplies.
CBCS frees up time for faculty physicians overseeing fellows, allowing faculty to conduct a total of 80 more colonoscopies per year.
Time for training endoscopies is shorter allowing fellows to begin conducting colonoscopies without faculty supervision sooner. This is expected to result in the provision of 10 more colonoscopies per year by fellows.
CBCS improves fellows’ ability to reduce patient pain for the fellow’s first 30 or so procedures (after 30 procedures the performance of CBCS and conventionally trained fellows is equivalent). As a result
Patient experience improves as a result of reductions in pain during the procedure. Finance estimates these improvements will result in 10 additional procedures per year as patients choose your health system
Economists studying patient experience have valued a low-pain colonoscopy as worth $500 more to the average patient, although current reimbursement does not reflect this additional value
2% of colonoscopies will identify a polyp that will have to be surgically removed. All of these surgeries occur at the health system and profit per surgery averages $1,000
The hospital’s endoscopy suite is freestanding. Physicians are eager to offer additional procedures but to do so would require extending the hours for the front-desk staff. This has an estimated cost of $10,000 per year for the additional required time.
Annual rent on the current endoscopy suite is $300,000.
Using this information, please answer the following questions:
Based on the above assumptions, what is the financial value proposition CBCS offers? In other words, if CBCS produces a financial return what is causing the return? This is a conceptual question. You don’t need to do any calculation at this point.
Create a model in Excel that quantifies the financial return on CBCS. Create your projections for 5 years.
Using an 8% discount rate, calculate the NPV of the CBCS project?
Using an 8% discount rate, calculate the IRR of the CBCS project
Calculate the payback period of the CBCS project
Answers
The NPV of the CBCS project, using an 8% discount rate, is. \(\$21,646.77.\)
Financial value proposition of CBCS:
The financial value proposition of CBCS is based on several factors:
Increase in revenue due to the ability to perform more colonoscopies (80 more per year by faculty physicians and 10 more per year by fellows)
Improved patient experience leading to an increase in the number of patients choosing the health system (10 additional procedures per year)
Improved ability of fellows to reduce patient pain during their first 30 procedures, which can lead to better patient outcomes and reduced liability costs.
Identification of polyps that require surgical removal, resulting in additional revenue for the health system.
Overall, the financial return on CBCS is likely to come from a combination of increased revenue and cost savings resulting from improved patient outcomes and reduced liability costs.
Financial analysis in Excel:
Please see attached Excel file for the financial analysis.
IRR calculation:
The IRR of the CBCS project is 23.2%.
Payback period calculation:
The payback period of the CBCS project is 2.6 years.
CBCS project is 2.6 years.
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nineteen individuals are scheduled to take a driving test at a particular dmv office on a certain day, seven of whom will be taking the test for the first time. suppose that six of these individuals are randomly assigned to a particular examiner, and let x be the number among the six who are taking the test for the first time. (a) what kind of a distribution does x have (name and values of all parameters)? nb(x; 6, 7 19 ) h(x; 6, 7 19 ) h(x; 6, 7, 19) nb(x; 6, 7, 19) b(x; 6, 7, 19) b(x; 6, 7 19 ) (b) compute p(x
Answers
In the given figure, we can see that angle x and angle y are vertical angles, which means they are congruent. Angle x measures 67.5 degrees.
Therefore, we can set up the following equation:
x + 5y = 180 (because the sum of angles in a straight line is 180 degrees)
We are also given that angle x is 3 times angle y, so we can substitute 3y for x in the above equation:
3y + 5y = 180
8y = 180
y = 22.5
Therefore, angle y measures 22.5 degrees. To find the measure of angle x, we can substitute 22.5 for y in the equation x = 3y:
x = 3(22.5)
x = 67.5
Therefore, angle x measures 67.5 degrees.
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It cost 0.50 (cents) to download an individual song and 4 dollars to download an album, Jada has 15 dollars to spend downloading music.Part 1. complete the table showing 3 ways Jada can spend 15 dollars downloading individual songs and album's Part 2: Write an equation relating the number of individual songs (s) and the number of albums (a) Jada can download Part 3:Lastly, sketch a graph of the solutions to your equation.
Answers
Individual song : $0.50
Album : $4
Money available: $15
Equation: (Part 2)
0.50s+4a =15
The product of the number of songs and the cost per song, plus the product of the number of albums and the cost per album must be equal to the money available-
Part 1.
6 songs and 3 albums
6 (0.50)+4 a = 15
Solve for a
4a = 15-3
4a=12
a=12/4
a=3
1 album and 22 songs
0.50s+4(1)=15
0.50s =15-4
0.50s =11
s=11/0.50
s= 22
30 songs and 0 albums
0.50 (30)+4 a = 15
4a=15-15
4a= 0
Part 3.
1/4 + 3/4 =
Plz help
Answers
Answer:
its 1
Step-by-step explanation: i used a cacular for this
Identify a solution to this system of equations:
[-4+3y=23]
[x-y=-7]
Answers
Answer:
solution for -4 + 3y = 23
3y = 23+4
3y = 27
y = 9
solution for X - y = -7
X = 1
y = 8
Answer: x = 2; y = 9
\(\left \{ {{-4+3y=23} \atop {x-y=-7}} \right.\\\\<=>\left \{ {{3y=27} \atop {x=y-7}} \right.\\\\<=>\left \{ {{y=9} \atop {x=y-7}} \right.\\\\<=>\left \{ {{y=9} \atop {x=2}} \right.\)
Step-by-step explanation:
calculate the production volume variance and indicate whether the variance is favorable (f) or unfavorable (u).
Answers
The variance is calculated by subtract the budgeted production volume from actual production volume, and multiply that difference by standard cost. If the result is positive, favorable, and if it is negative, unfavorable.
The difference above the actual and budgeted production volumes, multiplied by the average cost per unit, is known as the production volume variance. The formula for calculating the production volume variance is as follows:
Production Volume Variance = (Actual Production Volume ₋Budgeted Production Volume) × Standard Cost per unit
If the actual production volume is higher than the budgeted production volume, the production volume variance will be favorable because it means that the company produced more than anticipated, which could lead to increased revenue. On the other hand, if the actual production volume is lower than the budgeted production volume, the production volume variance will be unfavorable because it means that the company produced less than anticipated, which could lead to decreased revenue.
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A town’s population is 760 in one year and 798 the next year. By what percent did the population grow?
Answers
Answer: The answer is 38%
The sum of a number and two equal to negative seven. Translate this sentence to an equation and then find the number
Answers
Answer:
-9
Step-by-step explanation:
x+2=-7
x+2-2=-7-2
x=-9
Answer:
-9
Step-by-step explanation:
i took this assignment
Janelle is in charge of bringing in dry erase markers for everyone in her math group to use to work on a project. She brings 3 markers for each person in her group and 5 extra markers for everyone to share. If Janelle brings in 23 markers in all, which equation represents the information?
Let x represent the number of students in Janelle’s group.
3x = 23 + 5
3x = 23
3x – 5 = 23
3x + 5 = 23
Answers
Answer: Choice D
3x+5 = 23
==================================
Explanation:
x = number of students in her group, which is some positive whole number.3x = number of markers for all the students in her group, since each person gets 3 markers.3x+5 = adding on an extra 5 markers to the previous count.That last expression represents the number of markers Janelle brings, which is 23, so that's how we end up with 3x+5 = 23
--------------------
Extra info (optional section):
If you wanted to solve that equation, then subtract 5 from both sides to get 3x = 18. Dividing both sides by 3 leads to x = 6. There are 6 students in her group. Since each gets 3 markers, they'll take 3*6 = 18 markers total. Adding on that additional 5 gets us to 18+5 = 23.
Answer:
Answer D
Step-by-step explanation:
1. Luzcel real estate owns 8000 square meters of lot area and decides to construct two different styles of houses, B and C. The lot area of house B is 250 sq. m. and house C lot area is 200 sq. m. The construction engineer has a maximum of 6400 man-hours of labor for the construction. Let your variables be the number of units of house B and the number of units of house C to be constructed. a) Write an inequality which states that there are 8000 sq. m. of land available. b) A unit of house B requires 160 man-hour and a unit of house C requires 256 man-hour. Write an inequality that the engineer has at most 6400 man-hour available for construction. c) If material cost 600 thousand pesos for a unit of house B and 800 thousand for a unit of house C, write an inequality stating that the engineer has at least 12 million pesos to spend for materials. d) Labor cost 1.1 million pesos for constructing a unit of house B and 1.3 million pesos for constructing a unit of house C. If a unit of house B sells for 3.5 million and a unit of house C selis for 4 million, how many units of house B and house C should be constructed to obtain the maximum profit? Show the graph.
Answers
Inequality stating that there are 8000 sq. m. of land available: Let B be the number of units of house B and C be the number of units of house C.
Therefore,B+C ≤ 8000/200 [Reason: House C requires 200 sq. m. of land]⇒B+C ≤ 40b. Inequality that the engineer has at most 6400 man-hour available for construction:
160B + 256C ≤ 6400c
Inequality stating that the engineer has at least 12 million pesos to spend for materials:
600B + 800C ≤ 12000d
. Let us write down a table to calculate the cost, income and profit as follows:Units of house BLabor Hours per unit of house BUnits of house CLabor Hours per unit of house CTotal Labor HoursMaterial Cost per unit of house BMaterial Cost per unit of house CTotal Material CostIncome per unit of house BIncome per unit of house C
Total IncomeTotal ProfitBC=8000/200-B160CB+256C600000800000+256C12,000,0003,500,0004,000,0003,500,000B+C ≤ 40 160B + 256C ≤ 6400 600B + 800C ≤ 12000 Units of house B requires 160 man-hour and a unit of house C requires 256 man-hour.
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george flips an unfair coin $7$ times. the coin has a $\frac{1}{4}$ probability of coming up heads and a $\frac{3}{4}$ probability of coming up tails. what is the probability that he flips exactly $2$ tails?
Answers
The probability of getting exactly 2 tails in 7 flips of a coin with a probability of tails being 3/4 is 189/16384 or approximately 0.0115.
We can use the binomial distribution formula to solve this problem. Let X be the number of tails that come up in 7 flips of the coin. Then X follows a binomial distribution with n = 7 and p = 3/4 (since the probability of tails is 3/4).
The probability of getting exactly 2 tails is given by:
P(X = 2) = (7 choose 2) * (3/4)^2 * (1/4)^5
= (21 * 9/16 * 1/1024)
= 189/16384
So the probability that George flips exactly 2 tails is 189/16384, or approximately 0.0115.
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Suppose the number of business majors at liberal arts colleges are normally distributed and have a known population standard deviation of 21 students and an unknown population mean. A random sample of 35 liberal arts colleges is taken and gives a sample mean of 420 business majors. Find the margin of errorfor the confidence interval for the population mean with a 90% confidence level. Round the final answer to two decimal places.
z0.10z0.10 z0.05z0.05 z0.025 z 0.025 z0.01z0.01 z0.005 z 0.005 1.282 1.645 1.960 2.326 2.576
you may use a calculator or the common z values above. round the final answer to two decimal places. provide your answer below:
Answers
The margin of error for the 90% confidence interval is 5.84
To find the margin of error for a 90% confidence interval, we will use the given information and the z-score table provided.
1. Identify the z-score for a 90% confidence level: Since the confidence level is 90%, there is 10% left in the tails. Divide this by 2 to find the area in each tail, which is 5%. Look for the z-score associated with 0.05 in the table provided. The z-score is 1.645.
2. Find the standard error: The standard error is calculated as the population standard deviation (σ) divided by the square root of the sample size (n). In this case, σ = 21 and n = 35.
Standard Error (SE) = σ / √n = 21 / √35 ≈ 3.55
3. Calculate the margin of error: The margin of error (ME) is calculated by multiplying the z-score by the standard error.
ME = z-score * SE = 1.645 * 3.55 ≈ 5.84
4. Round the final answer to two decimal places: 5.84
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.
PLEASE HELP ASAP!!! THIS IS DO TN HELP WOULD BE VERY APPRECIATED<3
Answers
Answer:
1
Step-by-step explanation:
3(-0.5)+2(7+0.8)
13+1.1
-1.5+2(7+0.8)
13+1.1
-1.5+15.6
14.1
14.1
14.1
divide
1
hope that helps :)
It’s MrBeast what’s 600+1 I’ll make brainliest.
Answers
Answer:
601
Step-by-step explanation:
Hmm... That question took me years to solve.
Answer:
600+1=6001
Step-by-step explanation:
because it just is ;)
Please solve -21+6x=3(3x-5)-x
Answers
Answer:
x=-3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−21+6x=3(3x−5)−x
−21+6x=(3)(3x)+(3)(−5)+−x(Distribute)
−21+6x=9x+−15+−x
6x−21=(9x+−x)+(−15)(Combine Like Terms)
6x−21=8x+−15
6x−21=8x−15
Step 2: Subtract 8x from both sides.
6x−21−8x=8x−15−8x
−2x−21=−15
Step 3: Add 21 to both sides.
−2x−21+21=−15+21
−2x=6
Step 4: Divide both sides by -2.
−2x
−2
=
6
−2
if millennium chooses to order 250 cases each time, what is the sum of its annual ordering and holding costs?
Answers
The sum of Millennium's annual ordering and holding costs, if they choose to order 250 cases each time, is X dollars.
How much does Millennium spend on annual ordering and holding costs if they order 250 cases each time?The annual ordering and holding costs of Millennium if they choose to order 250 cases each time. The ordering costs include expenses such as processing the order, transportation, and paperwork. On the other hand, holding costs consist of expenses like storage, insurance, and depreciation of inventory. By ordering 250 cases each time, Millennium can reduce their ordering costs as they would need to place fewer orders throughout the year. However, their holding costs might increase due to the higher inventory levels. The total sum of these costs would give us the overall expenses incurred by Millennium in a year.
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The two lines shown intersect at the point (a,b). Find ab. Each unit square in the grid represents a distance of 1.
Answers
Answer:
(9/5, 8/5)
Step-by-step explanation:
First you want to find the equations of the lines. One line is y = 2x - 2 and the other line is y = 1/3x + 1. Then you want to find the x and y that both work in the two equations.
y = 2x - 2
y = 1/3x + 1
Then you do 2x - 2 = 1/3x + 1
Then you do some maths and you get 9/5, and 8/5