The owner of the Good Deals Store estimates that during business hours, an average of 3 shoppers per minute enter the store and that each of them stays an average of 15
minutes. The store owner uses Little's law to estimate that there are 45 shoppers in the store at any time.
Little's law can be applied to any part of the store, such as a particular department or the checkout lines. The store owner determines that, during business hours, approximately 84
shoppers per hour make a purchase and each of these shoppers spends an average of 5 minutes in the checkout line. At any time during business hours, about how many shoppers,
on average, are waiting in the checkout line to make a purchase at the Good Deals Store
Answers
Note that at any time during business hours, about 7 shoppers, on average, are waiting in the checkout line to make a purchase at the Good Deals Store. This is solved using Little Law.
What is littles Law?Little's Law asserts that the long-term average number of individuals in a stable system, L, is equal to the long-term average effective arrival rate,λ, multiplied by the average duration a customer spends in the system, W.
To compute,
First, let's make sure that all the variables use the same time unit.
Thus, if there are 84 shoppers who are making a purchase per house, then there will be: 84/60 minutes
= 1.4
This means that λ (rate) = 1.4 and the average time (W) is 5 minutes
Using Little's Law which states that the queuing formula is:
L = λW
Note that:
λ = 1.4 (computed)
W = 5 mintues (given)
Hence, the Average number of people in queue per time is:
L = 1.4 x 5
L = 7 shoppers.
Thus, it is correct to state that at any time during work hours, about 7 shoppers, on average, are waiting in the checkout line to make a purchase at the Good Deals Store.
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Full Question:
If shoppers enter a store at an average rate of r shoppers per minute and each stays in the store for an average time of T minutes, the average number of shoppers in the store, N, at any one time is given by the formula N=rT. This relationship is known as Little's law.
The owner of the Good Deals Store estimates that during business hours, an average of 3 shoppers per minute enter the store and that each of them stays an average of 15 minutes. The store owner uses Little's law to estimate that there are 45 shoppers in the store at any time.
Little's law can be applied to any part of the store, such as a particular department or the checkout lines. The store owner determines that, during business hours, approximately 84 shoppers per hour make a purchase and each of these shoppers spend an average of 5 minutes in the checkout line. At any time during business hours, about how many shoppers, on average, are waiting in the checkout line to make a purchase at the Good Deals Store?
Related Questions
anyone know this problem need asap
Answers
Answer:
The answer to your query would be the Third Answer Choice.
Step-by-step explanation:
> First we need to find where the point (3,0) lies on the graph. We can do this by looking at the x coordinate, being 3, and the y, being 0. Keep in mind that the solution is where the two lines meet, not where the point on the graph is.
> This gets us to 3 on the x line, and no further. We then need to find which has an intersection of both lines on that point. If it is not (0,3), it is not the correct answer, which we are looking for.
> The first graph has a solution of (0, -1.5), as this is where the lines intersect. This is not (3, 0), so this is not our answer.
> The second graph’s lines intersect at (0,1), and since that is the solution of the graph, it is not the correct answer.
> The third graph’s lines intersect at (3, 0), and since this is it’s solution, it is the correct answer. Since we cannot be 100% sure, we still need to continue with checking the last graph.
> The fourth and last graph’s lines meet at (0,3), which is not what we are looking for, and is henceforth wrong.
> Once again, the correct answer is the Third Answer Choice. All the other graph’s have solutions on points other than (3,0), so they are not our answers.
> I hope this answered your query and any other questions you may have had on the subject. #LearningWithBrainly
please help me with this!!!! help!!! I need the answer! Find the area and permeter of the triangle
Answers
Answer: Area 6 Perimeter 12
Step-by-step explanation:
First, you have to find the perimeter. 4+5+3=12. Then, you need to find the area, which is base*height/2. The base is 3 and the height is 4. 4*3=12. Then you need to do 12/2=6. The area is 6
Answer:
The answer for P=12cm,A=6cm²
Step-by-step explanation:
Perimeter of triangle=a+b+c
P=5+3+4
P=12cm
Area of triangle =1/2bh
A=1/2×3×4
A=2×3
A=6cm²
(Due in 20 minutes)
The three side lengths of four triangles are given. Which triangle is a right triangle?
Triangle 1: √13, 6, 7
Triangle 2: 7, 8, 13
Triangle 3: 10, 11, 12
Triangle 4: √10, 9, 8
Answers
28. Identify the domain and range of the graph below.Domain 0≤y≤10; Range: 2≤x≤7Domain: All real numbers; Range: All numbers greater than y = 2.Domain: 0≤x≤ 10; Range: 2≤y≤7Domain: 2 ≤x≤7; Range: 0≤y≤ 10
Answers
ANSWER :
Domain: 0≤x≤ 10; Range: 2≤y≤7
EXPLANATION :
The given graph is defined from x = 0 to x = 10
Therefore, the domain is 0≤x≤ 10
The graph is also defined from y = 2 to y = 7
Therefore, the range is 2≤y≤7
Tamika works in a shoe store and is paid a 12%
commission on her sales. In January her sales total
was $3740. To the nearest dollar, how much did
Tamika earn in commission for January?
Explain correctly. No nonsense, please.
Thank you
Answers
A construction company will be penalized each day of delay in construction for bridge. The penalty will be $4000 for the first day and will increase by $10000 for each following day. Based on its budget, the company can afford to pay a maximum of $ 165000 toward penalty. Find the maximum number of days by which the completion of work can be delayed.
Answers
Answer:
The answer toy our problem is, The maximum number of days by which the completion of work can be delayed is 15.
Step-by-step explanation:
We are given that the penalty amount paid by the construction company from the first day as sequence, 4000, 5000, 6000, ‘ and so on ‘. The company can pay 165000 as penalty for this delay at maximum that is
\(S_{n}\) = 165000.
Let us find the amount as arithmetic series as follows:
4000 + 5000 + 6000
The arithmetic series being, first term is \(a_{1}\) = 4000, second term is \(a_{2}\) = 5000.
We would have to find our common difference ‘ d ‘ by subtracting the first term from the second term as shown below:
\(d = a_{2} - a_{1} = 5000 - 4000 = 1000\)
The sum of the arithmetic series with our first term ‘ a ‘ which the common difference being, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) ( ‘ d ‘ being the difference. )
Next we can substitute a = 4000, d = 1000 and \(S_{n}\) = 165000 in “ \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) “ which can be represented as:
Determining, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\)
⇒ 165000 = \(\frac{n}{2}\) [( 2 x 4000 ) + ( n - 1 ) 1000 ]
⇒ 2 x 165000 = n(8000 + 1000n - 1000 )
⇒ 330000 = n(7000 + 1000n)
⇒ 330000 = 7000n + \(1000n^2\)
⇒ \(1000n^2\) + 7000n - 330000 = 0
⇒ \(1000n^2\) ( \(n^2\) + 7n - 330 ) = 0
⇒ \(n^2\) + 7n - 330 = 0
⇒ \(n^2\) + 22n - 15n - 330 = 0
⇒ n( n + 22 ) - 15 ( n + 22 ) = 0
⇒ ( n + 22 )( n - 15 ) = 0
⇒ n = -22, n = 15
We need to ‘ forget ‘ the negative value of ‘ n ‘ which will represent number of days delayed, therefore, we get n=15.
Thus the answer to your problem is, The maximum number of days by which the completion of work can be delayed is 15.
write 56
as the product of prime factors
Answers
\(56 = 28 \times 2 \\ 56 = (14 \times 2) \times 2 \\ 56 = (7 \times 2) \times 2 \times 2\)
Help please!!!
Mr. Hayes has 111 straw bundles to use for bedding in his horse stalls. what is the greatest number of stalls he can fill if each stall holds exactly 4 bundles of straw?
Answers
Answer:
27 stalls
Step-by-step explanation:
111 / 4 = 27.75
So he can fill at most 27 stalls completely
A salesman has scheduled two appointments to sell encyclopedias. His first appointment will lead to a sale with probability 0.3, and his second will lead independently to a sale with probability 0.6. Any sale made is equally likely to be either for the deluxe model, which costs $1000 or the standard model, which costs $500.
Answers
The probability that the salesman sells a deluxe and a standard encyclopedia on his two appointments is 0.126.
To calculate this probability, we can use the multiplication rule of probability, which states that the probability of two independent events occurring together is the product of their individual probabilities.
Let S1 be the event that the salesman makes a sale on his first appointment, and S2 be the event that he makes a sale on his second appointment. Let D1 be the event that the sale is for the deluxe model, and S1 be the event that the sale is for the standard model.
Then, the probability of selling a deluxe model on the first appointment is 0.3 * 0.5 = 0.15 (since there is a 50% chance of selling a deluxe model). The probability of selling a standard model on the second appointment is 0.4 * 0.5 = 0.3 (since there is a 50% chance of selling a standard model).
Therefore, the probability of selling a deluxe model on the first appointment and a standard model on the second appointment is 0.15 * 0.3 = 0.045. However, this can also occur in reverse order (i.e., selling a standard model on the first appointment and a deluxe model on the second appointment), so we need to double the probability to get the final answer: 0.045 * 2 = 0.09.
Finally, the probability that both events occur (selling a deluxe and a standard encyclopedia on his two appointments) is 0.09 * 2 = 0.126.
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Since 2009 the number of smartphones shipped from manufacturers to stores around the world has increased exponentially. The growth from 2009 through 2015 can be modeled using the function G (t) = 174 . 1.67^t where t is the number of years singe 2009 and G (t) is measured in millions of smartphones.
Use this information and your knowledge of exponential and logistic growth to explore the mathematical concepts in the questions below.
Answers
The y-intercept indicates that 174 million smartphones were shipped to stores in 2009. This implies that after two years, in 2011, smartphone manufacturers shipped 500 million smartphones to stores worldwide.
Since 2009 the number of smartphones shipped from manufacturers to stores around the world has increased exponentially.
What is the exponential function?
The mathematical expression f(x)=exp or ex denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.
The growth from 2009 through 2015 can be modeled using the function G(t) = 174 * 1.67^t where t is the number of years since 2009 and G(t) is measured in millions of smartphones.
The required graph of the exponential function G(t) has been attached below
Now, finding the y-intercept
G(t) = 174· 1.67^t...(i)
Substitute the value of t = 0 in the above function,
G(t) = 174* 1.67⁰
G(t) = 174(1)
G(t) = 174
The meaning of the y-intercept is that 174 million smartphones are being shipped to stores in years 2009.
Substitute the value of G(t) =500 in the exponential function(i),
500 = 174 * 1.67^t
500/174 = 1.67^t
2.8735 = 1.67^t
In(2.8735 ) = t In (1.67)
t = In (2.8735 ) / In (1.67
t = 2.05827 ≈ 2
Hence, This means after 2 years i.e. in 2011, smartphone manufacturers were shipping 500 million smartphones to stores around the world.
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3
a)
b)
c)
Elana wants to use her grandmother's old biscuit recipe:
BISCUIT RECIPE
INGREDIENTS
1 cups flour
cup suger
2 tsp baking powder
tsp salt
cup cream
METHOD
Preheat the oven to 350 F
Mix all the ingredients.
Roll the dough into 7
Place on baking tray, 1 inch apart.
Bake for 20 minutes.
inch rounds.
Elana must roll the dough into 7
Convert the measurement to cm.
Rewrite all the ingredients using either grams or millilitres.
What temperature should Elana heat the oven to?
Write your answer in °C.
inch rounds.
OUMA'S
BAKING
RECIPES
d)
How far apart should the biscuits be on the baking tray?
Write your answer in cm.
Mandisa is going to the United States of America.
This is her itinerary:
Nihal bakes a pie. The recipe says the oven must be set at 450 °F.
What is the temperature in °C?
Was
Today
Sep 21
ST
67 °F
75 °F
Disney Wo
Today
Sep 21
IT
76 °F
91 °F
Califor
Toda
Sep
Answers
The biscuits should be placed 2.54 centimeters apart on the baking tray.
What is the unitary method?
The unitary method is a way for solving a problem by the first value of a single unit and than finding the value by multiplying the single unit. Unitary method is a technique by which we can find the value of a single value from the value of more than one devices and the value of more than one unit from the value of a single unit. We can this method use for most of the calculations in math.
We are given that;
Elana must roll the dough into 7 inch rounds.
a) To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, 7 inches is equal to:
7 inches x 2.54 centimeters/inch = 17.78 centimeters
So, Elana must roll the dough into 17.78 centimeter rounds.
b) To rewrite all the ingredients using grams or milliliters, we need to know the density of each ingredient. Assuming that the density of each ingredient is the same as that of all-purpose flour (which is approximately 125 grams per cup), we can convert the measurements as follows:
1 cup flour = 125 grams flour
1/2 cup sugar = 100 grams sugar
2 teaspoons baking powder = 10 grams baking powder
1 teaspoon salt = 5 grams salt
1/2 cup cream = 120 milliliters cream (assuming a density of 1 gram per milliliter)
So, the rewritten ingredients are:
125 grams flour
100 grams sugar
10 grams baking powder
5 grams salt
120 milliliters cream
c) The recipe states that the oven should be preheated to 350 °F. To convert this temperature to Celsius, we can use the formula:
Celsius = (Fahrenheit - 32) x 5/9
So, the temperature in Celsius is:
Celsius = (350 - 32) x 5/9 = 176.67 °C
Therefore, Elana should heat the oven to 176.67 °C.
d) The recipe states that the biscuits should be placed on the baking tray 1 inch apart. To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, the biscuits should be placed on the baking tray:
1 inch x 2.54 centimeters/inch = 2.54 centimeters
Therefore, by unitary method answer will be 2.54 centimeters.
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A mercury thermometer records a temperature of 10°F at 9 a.m. If the temperature drops by 3°F every hour, what will be the temperature by 2 p.m.?
Answers
Answer:
No
Step-by-step explanation:
Expression 4 less than y
Answers
Answer:
the answer is y-4
Step-by-step explanation:
variable cone first
Which answer choice best represents a degree n polynomial whose zeros include: - 4 (with multiplicity 2), 20, i, and - 3+i along with any other complex zeros?A. Degree: 7; Other zeros: -i and -3- i B. Degree: 5; Other zeros: i and - 3+ i C. Degree: 7; Other zeros: -i and 3 - i D. Degree: 7; Other zeros:i and - 3 + i
Answers
Degree 7
Other zeros -i and -3-i (option A)
Here, we want to give the degree of the polynomial
The degree of a polynomial simply refer to the number of roots that the polynomial have
With respect to this question, we have the following roots
-4, since it is with a multiplicity of 2, it means we have two roots here (-4,-4)
20
i
-3+i
The other complex roots are simply the conjugates of the given complex roots
This should be -i and -3-i
So the total number of roots are 7 and also, the degree which is the number of roots is also seven; meaning we have a polynomial of degree 7
⦁ Avery noticed that 9/10 of the apples in a basket are red. There are 45 red apples in the basket. ⦁ Represent the situation with an equation. Use a for the variable. ⦁ Solve the equation in Part (a). Show your work. ⦁ What does the solution of the equation represent in the situation? ⦁
Answers
We want to write and solve an equation that represents the given situation. The equation we will find is (9/10)*a = 45, and its solution is a = 50.
So we know that 9/10 of the apples in the basket are red, and we know that there are 45 red apples.
Then, if we define a as the total number of apples, we know that (9/10) times a must be equal to 45, we can write this as:
(9/10)*a = 45
This is the equation that we must solve.
We can solve this if we multiply both sides by (10/9), it gives;
(10/9)*(9/10)*a = (10/9)*45
a = (10/9)*45 = 50
This means that there are 50 apples in the basket.
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Answers
We can see here that the data set approximately periodic. The period and amplitude is: Periodic with a period of 4 and an amplitude of about 30.
What is amplitude?The size or magnitude of a wave or vibration is measured by its amplitude in physics. It describes the greatest deviation of a wave from its equilibrium or rest state, or the greatest intensity of an electromagnetic or sound wave.
When referring to waves, amplitude is commonly calculated as the distance between a wave's peak or trough and its resting position.
We can deduce that the values are being repeated at regular interval of four (4).
For the amplitude:
\(Amplitude: \frac{140 - 74}{2}\)
Amplitude = 33 ≈ 30.
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200+45655 iiiiii néed help plsssss¡
Answers
Answer:
45855
Step-by-step explanation:
45655
+200
=45855
Answer:
45855
Step-by-step explanation:
How much space will a cylindrical water tank occupy if its height is 100 cm and its diameter is 30
find the volume
Answers
Answer:
volume of a cylindrical water tank = 70,650cm³
Step-by-step explanation:
volume of cylinder, V = πr²h
where π = 3.14
h = 100cm
r = ?
given is diameter = 30cm
r = d/2 = 30/2 = 15cm
substituting the values in the formula,
V = 3.14 * 15² * 100
= 3.14 * 225 * 100
= 70,650cm³
Answer:
How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm
Volume: 706,500 cm³
Step-by-step explanation:
How much space it would take up:
To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.
The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.
To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.
A = π(15 cm)²
A = π(225 cm²)
A ≈ 706.86 cm²
So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.
The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.
Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.
Volume:
To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.
First, we need to find the radius by dividing the diameter by 2:
Radius = 30 cm / 2 = 15 cm
Now we can calculate the volume:
V = π(15 cm)²(100 cm)
V = 3.14 * 225 cm² * 100 cm
V = 706,500 cm³
Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.
PLEASE HELP ME
PLEASE BE CORRECT WHEN ANSWERING
Answers
9514 1404 393
Answer:
1/3
Step-by-step explanation:
The scale factor is the ratio of image lengths to original lengths.
B'C' = 1 unit
BC = 3 units
The scale factor is B'C'/BC = 1/3.
_____
Additional comment
The center of dilation in this figure is 3 units below D' on the same vertical line. (It is 1 unit off the bottom of the grid shown.)
PLS HELPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
the answer to that I think is a or c. either one of those.
somebody help with this
Answers
Answer:
-27
Step-by-step explanation:
5(-3)^3(5)^-1
5(-27)(1/5)
-135(1/5)
-135/5
-27
Hopes this helps please mark brainliest
Part A (4 pt): Fill in the missing steps to solve the
Inequality. x+2 +428
-4-4
1/4
1 x+2
-2
2 ≤
1
-X <
- 2
(0) --
x ≤
-X <
√x+2 2.
- 2
1x ≥ 2
=
>
-2
(0) ²½ × ≥ ²
> 2
x 2
Part B (2 pt): Draw the solution to the equation
on the number line provided. (Remember to
include your open/closed dots)
++++
-24-20-16-12 -8 -4
0 4
+
8 12 16 20 24
Answers
The answers are:
Part A: The two values of x are: x > 8 or x < -24
Part B: Closed circles at -24 as well as 8 on the number line.
How to solve inequalities?Inequalities are mathematical formulas with two sides that are unequal. In an inequality, we evaluate two numbers rather than two equations. In place of the equal sign, a less than (less than or equal to), larger than (greater than or equal to), or not equal to sign is used.
The following steps are missing for the inequalities:
Solving the inequalities,
Part A:
|1/4x+2|+4 >= 8
|1/4x+2|>=4
Now when we remove the sign fom the inequality, there would be 2 values:
(1/4) x + 2 > 4 or (1/4) x + 2 < -4
Now subtracting 2 from both side:
\((\frac{1}{4} )x > 2\ or\ (\frac{1}{4} )x < -6\)
Divide both the sides by 4:
4(1/4) x > 4(2) or 4(1/4) x < 4(-6)
Now we get two values of x:
x > 8 or x < -24
Part B:
Closed circles at -24 as well as 8 on the number line. Draw a thick line from -24 to the left arrow and a thick line from 8 to the right arrow.
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Write the equation in slope-intercept form for the line that passes through (5, 4) and (6,-1).
SHOW YOUR WORK
Answers
Answer:
y = -5x + 29
Step-by-step explanation:
Slope-Intercept Form of the Line
Given a line of slope m and y-intercept b, the equation of the line can be written as:
y = mx + b
The slope can be calculated by using the formula:
\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)
Where (x1,y1) and (x2,y2) are the points through which the line passes.
We are given the points (5,4) and (6,-1), thus:
\(\displaystyle m=\frac{-1-4}{6-5}=\frac{-5}{1}=-5\)
Now we use one of the points to find the value of b, for example (5,4):
4 = -5(5) + b
b = 25+4 = 29
Thus, the equation of the line is:
y = -5x + 29
A probability distribution for various prize values is given by the following table.
Prizes Probabilities
$0.00 0.83
$100.00 0.08
$500.00 0.08
$10,000.00 0.01
Find the expected winnings. Round your answer to the nearest cent.
Answers
Answer:
$148
Step-by-step explanation:
Expected winnings = ($0.00 x 0.83) + ($100.00 x 0.08) + ($500.00 x 0.08) + ($10,000.00 x 0.01)
Expected winnings = $0.00 + $8.00 + $40.00 + $100.00
Expected winnings = $148.00
A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20.
Answers
The relationship between the quantities shown in the table is +10. The values in column 2 (y) are obtained by adding 10 to the corresponding values in column 1 (x).
How to explain the relationshipIn the given table, the values in column 1 (labeled "x") are 1, 2, 3, and 4. The values in column 2 (labeled "y") are 11, 22, 33, and 44.
To determine the relationship between the quantities in the table, we can compare the values in column 2 (y) with the corresponding values in column 1 (x).
If we subtract each value in column 1 from the corresponding value in column 2, we find that:
11 - 1 = 10
22 - 2 = 20
33 - 3 = 30
44 - 4 = 40
By observing these results, we can see that the difference between each value in column 2 and its corresponding value in column 1 is always 10.
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Hello random community i have a question to ask what is 7/8 - 3/4
Answers
Answer: 1/8
Step-by-step explanation:
First make the bottom half the same:
3/4*2/2=6/8
We don’t need to change the first portion since they have a common factor
7/8-6/8=1/8
Rules for dividing fractions
Answers
Answer:
To divide fractions, you need to follow these steps:
Flip the second fraction (the one you want to divide by) upside down (this is called taking the reciprocal).
Multiply the first fraction by the reciprocal of the second fraction.
Simplify the resulting fraction if possible.
Here is an example:
1/3 ÷ 2/5
Step 1: Flip the second fraction: 2/5 becomes 5/2.
Step 2: Multiply the first fraction by the reciprocal of the second fraction: 1/3 x 5/2 = 5/6.
Step 3: Simplify the resulting fraction if possible: 5/6 is already in its simplest form.
For more examples and explanatTo divide fractions, you need to follow these steps:
Flip the second fraction (the one you want to divide by) upside down (this is called taking the reciprocal).
Multiply the first fraction by the reciprocal of the second fraction.
Simplify the resulting fraction if possible.
Here is an example:
1/3 ÷ 2/5
Step 1: Flip the second fraction: 2/5 becomes 5/2.
Step 2: Multiply the first fraction by the reciprocal of the second fraction: 1/3 x 5/2 = 5/6.
Step 3: Simplify the resulting fraction if possible: 5/6 is already in its simplest form.
Step-by-step explanation:
brainliest pls
Answer:
Step-by-step explanation:
For dividing fractions:
Remember:
Keep Change Flip
Keep the first the same
Change the sign to multiplication
Flip the second fraction.
EX.
\(\frac{4}{5}\) ÷ \(\frac{1}{2}\) >Keep, Change Flip
=\(\frac{4}{5}\) * \(\frac{2}{1}\) >Now it's multiplication, reduce first if you can
(nothing reduces in this problem), so mulitply
across
= \(\frac{8}{5}\)
I need help with this geometry question asap!
Answers
Answer: True
Explanation: Parallel lines are two lines that lie on the same plane and they never intersect.
If b = -2, what is 3b-7 ?
Answers
3 x -2 = -6
-6 -7 = -13
Both numbers are prime in which of the following pairs of numbers?
O A 5 and 9
B. 7 and 9
O c. 5 and 6
O D. 5 and 7
O E. 7 and 8
Answers
Answer:
\( \huge{ \boxed{ \sf{5 \: and \: 7}}}\)
☪ Question :
☇ Both numbers are prime in which of the following pairs of numbers ?
☐ 5 and 9
☐ 7 and 9
☐ 5 and 6
☑ 5 and 7 ---- Answer !!
☐ 7 and 8
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☥ Let's explore about prime numbers and composite numbers !!
A prime number is a whole number that only has two factors which are one and itself.A composite number is a whole number with 3 or more factors.\( \underline{ \text{Still \: confused ?}}\)
Alright , Let's check all the options :
☐ 5 and 9
⤿ 5 is a prime number as it can only be divided by 1 and itself but 9 is not a prime number as it can be divided by more than two numbers ( i.e 1 , 3 and 9 )
☐ 7 and 9
⤿ 7 is a prime number as it can only be divided by 1 and itself but 9 is a composite number as it can be divided by 1 , 3 and 9.
☐ 5 and 6
⤿ 5 is a prime number as it can only be divided by 1 and itself but 6 is a composite number as it can be divided by more than two numbers ( i.e 1 , 3 and 6 )
☑ 5 and 7
⤿ Yeah ! 5 and 7 are prime numbers as they only have two factors which are one and itself.
☐ 7 and 8
⤿ 7 is a prime number as it can only be divided by 1 and itself but 8 is a composite number as it can be divided by more than two numbers ( i.e 1 , 2 , 4 and 8 )
Hope I helped!
Have a wonderful day ! ツ
~TheAnimeGirl ♡
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Here we just need to identify the pair of prime numbers, we will see that the correct option is D: 5 and 7.
Prime numbers.
Prime numbers are the numbers that can only be divided by themselves and 1.
So we just need to test each one of the given numbers to see if these are primes or not, for example for 6 we have:
6/3 = 2
6/2 = 3
So 6 is not a prime.
Similarly for 8 we have:
8/2 = 4
8/4 = 2
So 8 is not a prime.
In the other hand, 5 and 7 can only be divided by themselves, thus 5 and 7 are primes.
Then the correct option is D, 5 and 7.
If you want to learn more about prime numbers, you can read:
https://brainly.com/question/145452