Answer: She needs 6 packs of cookies and 5 packs of coffee sachets.
Step-by-step explanation:
Cookies: come in packs of 10
Coffee sachets: come in packs of 12.
Sally wants to sell them in groups of 1 cookie and 1 coffee sachet, then we need to find a common multiple of 10 and 12. (the smallest one in this case).
To find the smallest common multiple, first let's find the largest common factor between 10 and 12.
If we write the numbers as a product of prime numbers, we have:
10 = 2*5
12 = 2*3*3
The only common factor is 2.
Then the smallest common multiple between 10 and 12 is equal to the product of 10 and 12 divided by the largest common factor between them, in this case is 2.
M = 10*12/6 = 60
Now to find the number of packages of each thing that she must buy, we need to divide 60 by the number of elements in each pack.
Cookies: 10 per pack
60/10 = 6
She needs 6 packs of cookies
Coffe: 12 per pack
60/12= 5
She needs 5 packs of coffee sachets.
Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hour?
Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections
Step-by-step explanation:
Answer:
1.25
Step-by-step explanation:
10 ÷ 8 = 1.25
NEED HELP!!!!!!!!!!!!!!!!!!
Answer:
-3
Step-by-step explanation:
-8-(-3) is the same as -8+3
-8+3=-5
A store plans to sell two different game consoles, the Wii and the xbox. The store’s wholesale price for the Wii is $250, and the store can sell one for $295. The xbox wholesale price is $400, and the store can sell it for $450. The stores marketing research indicates that the total monthly demand for game consoles will not exceed 250 units sold. The store’s financial manager doe not want to invest more than $70,000 in inventory costs for game consoles. Write the constraints and the objective formula.
I'll answer this question in a bit, I am busy with some other things right now.
Why is the answer 2 in the subtractive equation 1+1?
Answer:
That's not a subtractive equation, the symbol that you used indicates that it is an addition equation. if the question was 1-1 then the answer wouldn't be 2 but since the question is 1+1 the answer is 2
Step-by-step explanation:
Tony's 1st two jumps were 11 2/3ft and 11 1/2ft. His total distance was 44ft. How many feet was his final jump?
Answer: 20.83
Step-by-step explanation: 44 - 11 2/3 - 11 1/2 = 20.83
Too Easy.
Graphs. First correct answer will mark brainliest.
30 POINTS!!
The assumption in answering the question is that no student scored 0
The assumptions made in answering the questionFrom the question, we have the following parameters that can be used in our computation:
The bar chart
On the bar chart, we hae
Students that score more than 8 = 5
Students in the class = 33
The (b) is calculated by considering all students that score more than 0 from the histogram
This means that the assumption is that no student scored 0
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Can someone help please?
Answer:
2
mark me as brainliest..........
Answer:
2
Step-by-step explanation:
since they are similar
they will be divided by 9 for example
we have 54 on the left but if you divide it by 9 we get 6 which is on the right
then we have 27 on the left if you divide by 9 we get 3 which is on the right
so then we have 18 and a missing number
so we divide 18/9 and get 2
pls hrlp me on this
Answer:
0,4
Step-by-step explanation:
1. 2/5=0,4; 6/15=0,4; 8/20=0,4. It means, the constant of proportionality is 0,4.
2. if the constant value is 0,4, then x:1=0.4 ⇒ x=0,4
crack the code solve any proportion below and find your answer in the code at the bottom of the page. Each time the answer appears in the code, write the letter in that proportions above the answer. Keep working and you will decode the poem
patulong
Step-by-step explanation:
This took me so long I hope it really helps!
Question 15 of 60
Choose the symbol that correctly compares the fractions below.
8 8
-?-
10 10
OA. None of these are correct.
OB. <
C. >
OD. =
SUBMIT
Answer:
D
Step-by-step explanation:
How many 5-pound bags of apples can be made from 400 apples, each weighing 1/4 pound?
Answer:
20 bags
Step-by-step explanation:
400/4 = 100, because it takes four apples to make a pound
100/5 because each bag holds 5 pounds,
20, bags filled with 5 pounds of apples
jessica and her family went to each applebee's. they ordered two appetizers for $15.58 each, 4 sweet teas for $23.67, chiken tenders meal for $10.two pasta meals for $19 each ,4 sweet teas for 1.25. jessica decided that her family should leave an 18% tip. how much wil Jessica's family pay for the meal, including the tip?
Answer: $180.02
Step-by-step explanation:
The total bill for the food will be $178.84 and then add the tip which is 18% to get the total. One method of changing the 18% to money wise is 1.18 and then adding the two numbers together to get a total of $180.02.
Between x = 0 and x = 1, which function has a greater average rate of change than y = 3x
?
Answer:
x=1
Step-by-step explanation:
y=3x so just add 1+3=4 then add veriable y=4x
ANSWER QUICK
What is the equation of a horizontal line that passes through the point (-2, 5)?
x = -2
y = -2
x = 5
y = 5
Answer:
y=5
Brainliest, please :)
NO LINKS!!! URGENT HELP PLEASE!!!!
At her archery lessons, Tess has a 90% of getting a bull's eye. Unfortunately, there's only a 40% chance that her instructor will be watching her when she shoots. What is the probability that her instructor will see Tess his the bull's eye? Make a diagram and explain it completely.
The diagrams are below.
========================================================
Explanation:
There isn't a real need to use a diagram. We simply multiply the decimal values of each percentage given
90% ---> 0.9040% ---> 0.40There is a 0.90*0.40 = 0.36 = 36% chance of the instructor seeing Tess hit the bullseye.
------------------
More formally,
A = Tess hits the bullseye
B = The instructor watches
P(A) = 0.90
P(B) = 0.40
P(A and B) = P(A)*P(B) since the events are independent
P(A and B) = 0.90*0.40
P(A and B) = 0.36
P(A and B) = 36%
------------------
The diagrams are shown below if you still need them.
Figure 1 shows the probability tree. The values in red are the probability for each branch. The values in blue are the result of multiplying the red values along a certain pathway.
Example: Follow the left-most pathway to see 0.90*0.40 = 0.36 is the probability of "hits bullseye" and "instructor is watching" happening at the same time.
Figure 2 shows another way to view probability. We start with a 1 by 1 square. Its area is 1*1 = 1 square unit. This square is sub-divided into 4 regions marked A, B, C, D
A = hits bullseye, instructor watchesB = hits bullseye, instructor is not watchingC = misses bullseye, instructor watchesD = misses bullseye, instructor is not watchingTake note how region A is 0.90 units tall and 0.40 units across. Its area is 0.90*0.40 = 0.36; so this is a visual tool to see why multiplication takes place for problems like this. Regions C through D are a similar story.
We can arrange the results into a table like so
\(\begin{array}{|c|c|c|} \cline{1-3}& \text{watching} & \text{not watching}\\\cline{1-3}\text{hit} & 0.36 & 0.54\\\cline{1-3}\text{miss} & 0.04 & 0.06\\\cline{1-3}\end{array}\)
Notice that all four values add to 1.
Answer:
0.36 or 36%.
Step-by-step explanation:
To solve this problem, we can use a tree diagram to visualize the different possible outcomes and their probabilities.
The first event is whether the instructor is watching or not, with a probability of 0.4 for the instructor watching and 0.6 for not watching. The second event is whether Tess hits the bull's eye or not, with a probability of 0.9 for hitting the bull's eye and 0.1 for missing it.
We can create a tree diagram with two branches, one for the instructor watching and one for the instructor not watching, and two branches coming out of each of those for Tess hitting the bull's eye or missing it. The probabilities for each branch can be written along the branches, as shown below:
Attachment 1: Tree Diagram for Tess's Archery Lessons
To find the probability that the instructor sees Tess hit the bull's eye, we need to look at the branch where the instructor is watching and Tess hits the bull's eye. This branch has a probability of 0.4 x 0.9 = 0.36. Therefore, the probability that the instructor sees Tess hit the bull's eye is 0.36 or 36%.
In summary, we can use a tree diagram to visualize the different outcomes and probabilities for Tess hitting the bull's eye and her instructor watching. From this, we can see that the probability of her instructor seeing her hit the bull's eye is 0.36 or 36%.
. let x denote the annual salary of scientists in the united states, measured in thousands of dollars. suppose that e[x]
The standard deviation is $8,000. So, the standard deviation measured in thousands of dollars, is 8. and The mean is the average. So the average, measured in thousands of dollars, is 56.
Average salary: 56
Standard deviation of the salary: 8
$56,000 dollars is 56 thousand dollars.
$8,000 is 8 thousand dollars.
The mean is the average. So the average, measured in thousands of dollars, is 56.
The standard deviation is $8,000. So, the standard deviation measured in thousands of dollars, is 8.
complete question
Let X denote the average starting salary for 2014 U.S. college graduates, measured in dollars. Suppose that the average annual salary is $56,000 dollars, with a standard deviation of 8,000. Find the mean and standard deviation when salary is measured in thousands of dollars.
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Al lanzar un dado determinar la probabilidad de que salga un número primo o un número mayor que 3
The probability of a prime number or a number greater than 3 coming up is given as follows:
5/6.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:
Prime numbers: 2, 3, 5.Non-prime greater than 3: 4 and 6.Hence the probability is given as follows:
5/6.
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What is the meaning of "the notion of finiteness"?
The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.
In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.
In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.
This concept is essential to the development of computer programs that are efficient, reliable, and secure.
In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.
In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.
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3. An investor plans to invest $500/year and expects to get a 10.5% return. If the investor makes these contributions at the end of the next 20 years, what is the present value (PV) of this investment today?
The present value (PV) of the investment today is approximately $2,965.05.
To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.
The formula for the present value of an annuity is given by:
PV = C * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present Value
C = Cash flow per period
r = Interest rate per period
n = Number of periods
In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.
Let's plug in these values into the formula and calculate the present value (PV):
PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]
Using a calculator, we can evaluate the expression inside the brackets:
PV = $500 * [(1 - 0.376889) / 0.105]
Simplifying further:
PV = $500 * [0.623111 / 0.105]
PV = $500 * 5.930105
PV = $2,965.05
Therefore, the present value (PV) of the investment today is approximately $2,965.05.
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NO LINKS!!! URGENT HELP PLEASE!!!
State if the given functions are inverses.
1. g(x) = 4 + (7/2)x
f(x) = 5 - (4/5)x
Find the inverses of each function.
2. g(n) = (8/3)n + 7/3
3. g(x) = 1 - 2x^3
Answer:
1) The functions are not inverses.
\(\textsf{2)} \quad g^{-1}(n)=&\dfrac{3}{8}n-\dfrac{7}{8}\)
\(\textsf{3)} \quad g^{-1}(x)&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\)
Step-by-step explanation:
Question 1The inverse composition rule states that if two functions are inverses of each other, then their compositions result in the identity function.
Given functions:
\(g(x) = 4 + \dfrac{7}{2}x \qquad \qquad f(x) = 5 - \dfrac{4}{5}x\)
Find g(f(x)) and f(g(x)):
\(\begin{aligned} g(f(x))&=4+\dfrac{7}{2}f(x)\\\\&=4+\dfrac{7}{2}\left(5 - \dfrac{4}{5}x\right)\\\\&=4+\dfrac{35}{2}-\dfrac{14}{5}x\\\\&=\dfrac{43}{2}-\dfrac{14}{5}x\\\\\end{aligned}\) \(\begin{aligned} f(g(x))&=5 - \dfrac{4}{5}g(x)\\\\&=5 - \dfrac{4}{5}\left(4 + \dfrac{7}{2}x \right)\\\\&=5-\dfrac{16}{5}-\dfrac{14}{5}x\\\\&=\dfrac{9}{5}-\dfrac{14}{5}x\end{aligned}\)
As g(f(x)) or f(g(x)) is not equal to x, then f and g cannot be inverses.
\(\hrulefill\)
Question 2To find the inverse of a function, swap the dependent and independent variables, and solve for the new dependent variable.
Calculate the inverse of g(n):
\(\begin{aligned}y &= \dfrac{8}{3}n + \dfrac{7}{3}\\\\n &= \dfrac{8}{3}y + \dfrac{7}{3}\\\\3n &= 8y + 7\\\\3n-7 &= 8y\\\\y&=\dfrac{3}{8}n-\dfrac{7}{8}\\\\g^{-1}(n)&=\dfrac{3}{8}n-\dfrac{7}{8}\end{aligned}\)
Calculate the inverse of g(x):
\(\begin{aligned}y &= 1-2x^3\\\\x &= 1-2y^3\\\\x -1&=-2y^3\\\\2y^3&=1-x\\\\y^3&=\dfrac{1}{2}-\dfrac{1}{2}x\\\\y&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\\\\g^{-1}(x)&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\\\\\end{aligned}\)
Answer:
1.
If the composition of two functions is the identity function, then the two functions are inverses. In other words, if f(g(x)) = x and g(f(x)) = x, then f and g are inverses.
For\(\bold{g(x) = 4 + \frac{7}{2}x\: and \:f(x) = 5 -\frac{4}{5}x}\), we have:
\(f(g(x)) = 5 - \frac{4}{5}(4 + \frac{7}{2}x)\\ =5 - \frac{4}{5}(\frac{8+7x}{2})\\=5 - \frac{2}{5}(8+7x)\\=\frac{25-16-14x}{5}\\=\frac{9-14x}{5}\)
\(g(f(x)) = 4 + (\frac{7}{5})(5 - \frac{4}{5}x) \\=4 + (\frac{7}{5})(\frac{25-4x}{5})\\=4+ \frac{175-28x}{25}\\=\frac{100+175-28x}{25}\\=\frac{175-28x}{25}\)
As you can see, f(g(x)) does not equal x, and g(f(x)) does not equal x. Therefore, g(x) and f(x) are not inverses.
Sure, here are the inverses of the functions you provided:
2. g(n) = (8/3)n + 7/3
we can swap the roles of x and y and solve for y to find the inverse of g(n). In other words, we can write the equation as y = (8/3)n + 7/3 and solve for n.
y = (8/3)n + 7/3
n =3/8*( y-7/3)
Therefore, the inverse of g(n) is:
\(g^{-1}(n) = \frac{3}{8}(n - \frac{7}{3})=\frac{3}{8}*\frac{3n-7}{3}=\boxed{\frac{3n-7}{8}}\)
3. g(x) = 1 - 2x^3
We can use the method of substitution to find the inverse of g(x). We can substitute y for g(x) and solve for x.
\(y = 1 - 2x^3\\2x^3 = 1 - y\\x = \sqrt[3]{\frac{1 - y}{2}}\)
Therefore, the inverse of g(x) is:
\(g^{-1}(x) =\boxed{ \sqrt[3]{\frac{1 - x}{2}}}\)
PLEASE HELP ME ON QUESTION ONE ASAP!!
Answer:
The answer is D. 56
Step-by-step explanation:
Answer:
Oh yeah, super easy. 14
Step-by-step explanation: For every 6 mice there is 2 snakes, You can simplify to for every 3 mice there is 1 snake. All you need to do is divide 42 by 3 which would give you 14!
QUESTION 10
1. Identify the least accurate statement about the internal rate of return (IRR) and net present value (NPV) is
accurate from the statement below?
a. The discount rate that causes the project's NPV to be equal to zero is the project's IRR.
b. The IRR is the discount rate that equates the present value of the cash inflows with the present
value of the outflow.
c. For mutually exclusive projects, if the NPV rankings and the IRR rankings give conflicting signals,
you should select the project with the higher IRR.
d. For independent projects with conventional cash flows, there is no conflict between NPV and IRR
decision rules.
When comparing projects that are mutually exclusive, the analyst should use the IRRs to choose the project if the NPV method and the method produce different rankings.
If the results of NPV and IRR are incongruent, NPV should always be used.
What is the internal rate of return (IRR) strategy?The internal rate of return is a technique used in financial research to gauge the profitability of potential investments (IRR). The IRR is the discount rate used in a discounted cash flow analysis to bring all cash flows' net present values (NPV) to nil.
What is net present value (NPV)?The future stream of payments from a company, project, or investment are appraised today using a technique known as net present value (NPV). To calculate net present value, you must anticipate the timing and volume of future cash flows and select a discount rate equal to the least permitted rate of return (NPV). rn.
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Given that a function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8, select the statement that could be true for g.
The correct statement regarding the function g(x), considering it's domain and range, is given as follows:
D. g(3) = 18.
What are the definitions of the domain and the range of a function?Before knowing the definition of the domain and the range of a function, the input and the output of a function must be identified. In this function, they are given as follows:
Input: x.Output: g(x).The domain of a function is composed by all the values assumed by the input of the function. Hence, in this problem, g(x) can only be calculated for values of x that are between -1 and 4, inclusive. g(-5) and g(5), for example, cannot be calculated.
The range of a function is composed by all the values assumed by the output of the function. Hence, in this problem, the values assumed by g(x) must be between 0 and 18, inclusive, thus values such as g(x) = -1 or g(x) = 19 are not valid.
Thus the correct statement is given as follows:
g(3) = 18.As:
x = 3 is between -1 and 4.g(x) = 18 is between 0 and 18, inclusive.It does not contradict any of g(-1) = 2 and g(2) = 8, such as option c g(2) = 4 did.Missing informationThe options are given as follows:
A. g(5) = 12.
B. g(1) = -2.
C. g(2) = 4.
D. g(3) = 8.
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The points J(0,-3), K(-6,-3), L(-8,-9), and M(-2,-9) form parallelogram JKLM. Plot the points then click the Graph Quadrilateral button. Then find the area of the parallelogram.
The area of the parallelogram JKLM is equal to 36 square units.
How to determine the area of a parallelogram
Parallelograms are quadrillaterals formed by two pairs of parallel sides, the area of a parallelogram (A), in square units, is equal to the following formula:
A = b · h
Where:
b - Length of the base.h - Length of the height.Now we proceed to determine the area of the parallelogram. First, determine the lengths for the base and the height of the parallelogram:
b = 6, h = 6
A = 6 · 6
A = 36
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if the sides of a triangle QRS are QR=10X-6, RS=6X-15,QS=X+24, find a range of possible values for X?
The range of the possible values for X will be;
⇒ X < 5
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The sides of a triangle QRS are;
⇒ QR=10X - 6,
⇒ RS = 6X - 15,
⇒ QS = X + 24,
Now,
We know that;
The sum of two sides of a triangle is always greater than the third side.
So, We can formulate;
⇒ 10X - 6 < (6X - 15) + (X + 24)
⇒ 10X - 6 < 7X + 9
⇒ 10X - 7X < 9 + 6
⇒ 3X < 15
⇒ X < 5
Thus, The range of the possible values for X will be;
⇒ X < 5
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i currently have alot of points im only giving out a little but i will give thanks, brainliest, and 5 star
Answer:
ilyilyilyilyily thank you
Answer:
thats so sweet thank you!!!
Step-by-step explanation:
The wheels on an adult sized 4-wheeler have a radius of 11 inches. What total distance will the wheels travel in one full rotation?
a
34.54 Inches
b
690.80 Inches
c
69.08 Inches
d
379.94 Inches
Answer:
C. 69.08 inches
Step-by-step explanation:
Find the distance the wheels will travel by finding the circumference of the wheel.
Use the circumference formula, C = 2\(\pi\)r
Plug in 11 as r in the equation, and 3.14 as pi, then solve:
C = 2\(\pi\)r
C = (2)(3.14)(11)
C = 69.08
So, the correct answer is C. 69.08 inches
Answer:
69.08 inches
Step-by-step explanation:
We can plug in the known value into the equation for circumference: \(C = 2\pi r\)
Using 3.14 as \(\pi\) we get:
\(C=69.08\)
Now multiply the circumference by revolutions to get distance:
69.08 x 1 = 69.08
Note that the distance is in inches because the radius is in inches.
Find m∠1 and m∠2. and Tell which theorem you use in each case.
The angles in the parallel lines are as follows;
m∠1 = 42 degreesm∠2 = 42 degrees.How to find angles when parallel lines are cut by a transversal?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, vertically opposite angles etc.
Therefore, let's find the angles m∠1 and m∠2.
Hence,
138 + m∠1 = 180(angles on a straight line)
The sum of angles on a straight line is 180 degrees.
m∠1 = 180 - 138
m∠1 = 42 degrees
Therefore,
m∠1 = m∠2 (alternate exterior angles)
Alternate exterior angles are the pair of angles that are formed on th outer side of the parallel lines but on the opposite side of the transversal.
Alternate exterior angles are congruent.
Therefore,
m∠1 = m∠2 = 42 degrees.
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I need help guys please help
Answer:
domain: all reals
range: y <= 0
Step-by-step explanation:
The parabola will continue infinitely to the left and right, thus the domain will be all real numbers. However, for the range, the parabola is facing downwards with the vertex at y = 0, so all the possible points will be at y = 0 and below. This is represented by the inequality y <= 0.
Jessica's bedroom is 17 feet long and 9 1/2 feet wide. What is the area of the bedroom?