How many units of wip (work-in-process) inventory will accumulate between steps a and b in 16 hours? Get the answers you need, now!
Without the specific information about the production rate and flow rate of the process, it is not possible to provide a precise calculation of the WIP inventory accumulation between steps a and b in 16 hours.
To determine the number of units of work-in-process (WIP) inventory that will accumulate between steps a and b in 16 hours, we need additional information regarding the production rate and the flow rate of the process. The accumulation of WIP inventory depends on the production rate and the time it takes for a unit to flow from step a to step b.
Without specific information about the production rate or the time it takes for a unit to flow from step a to step b, it is not possible to provide an accurate calculation of the WIP inventory accumulation.
However, I can explain the concept of WIP inventory and its accumulation in a manufacturing process.
WIP inventory refers to the partially completed units that are in the production process at any given time. It includes all the materials, components, and partially completed products that are at various stages of the production process.
The accumulation of WIP inventory occurs when the production rate exceeds the flow rate of the process. In other words, if the rate at which new units enter the process is higher than the rate at which units move from one step to another, WIP inventory will accumulate.
To calculate the accumulation of WIP inventory, we need to know the production rate, the flow rate, and the time period over which we want to measure the accumulation. With this information, we can determine the net inflow rate and the outflow rate of units from the process.
Once we have the inflow and outflow rates, we can calculate the net accumulation of WIP inventory by subtracting the outflow rate from the inflow rate. Multiplying this net accumulation rate by the given time period will give us the total accumulation of WIP inventory.
However, without the specific information about the production rate and flow rate of the process, it is not possible to provide a precise calculation of the WIP inventory accumulation between steps a and b in 16 hours.
In conclusion, to determine the number of units of WIP inventory that will accumulate between steps a and b in 16 hours, we need additional information about the production rate and the flow rate of the process. These factors are essential in calculating the net accumulation of WIP inventory. Without this information, it is not possible to provide an accurate answer.
Learn more about production rate here
https://brainly.com/question/31194267
#SPJ11
For each of the following functions, describe returns to scale.
A. Q = K + L
B. Q = K1/2L3/4
C. Q = K2L
Function (enter A, B, or C) exhibits increasing returns to scale.
Function (enter A, B, or C) exhibits constant returns to scale.
Function (enter A, B, or C) exhibits decreasing returns to scale.
For each of the given functions, let's analyze the returns to scale.
A. Q = K + L:
This function represents a linear relationship between the inputs of capital (K) and labor (L) and the output (Q). In this case, the returns to scale can be described as constant. If both K and L are increased by a certain proportion, the output Q will increase proportionally. For example, if K and L are both doubled, the output Q will also double. Thus, function A exhibits constant returns to scale.
B. Q = K^(1/2) * L^(3/4):
This function represents a non-linear relationship between the inputs of capital (K) and labor (L) and the output (Q). Here, the returns to scale can be described as increasing. If both K and L are increased by a certain proportion, the output Q will increase more than proportionally. For instance, if K and L are both doubled, the output Q will increase by a factor greater than 2. Therefore, function B exhibits increasing returns to scale.
C. Q = K^2 * L:
This function also represents a non-linear relationship between the inputs of capital (K) and labor (L) and the output (Q). In this case, the returns to scale can be described as decreasing. If both K and L are increased by a certain proportion, the output Q will increase less than proportionally. For example, if K and L are both doubled, the output Q will increase by a factor less than 4. Hence, function C exhibits decreasing returns to scale.
function A exhibits constant returns to scale, function B exhibits increasing returns to scale, and function C exhibits decreasing returns to scale.
To know more about proportionally , visit ;
https://brainly.com/question/8598338
#SPJ11
does a parallelogram have 2 pairs of parallel sides
Answer:
A parallelogram is a quadrilateral with 2 pairs of parallel sides
Twenty-seven minus of a number (x) is not more than 36. What is the number?
A.
x > 42
B.
x ≥ -6
C.
x < 3
D.
x ≤ -6
Answer:
D
Step-by-step explanation:
dfjhygcftujnnbiijjhfsrfhhhuu
Can you combine 6 and 2i? Why or why not.
Answer:
u can with math u cant with history
Step-by-step explanation:
can i has brainliest
Answer:
no you can not because the 6 doesn't have the same variable as the 2
Step-by-step explanation:
Change each number to scientific notation or to standard form. 8.0 ×10⁻⁴
The number 8.0 × 10⁻⁴ in standard form is 0.0008.
To change the number 8.0 × 10⁻⁴ to standard form, we move the decimal point four places to the left because the exponent is -4. This gives us the number 0.0008, which is equivalent to 8.0 × 10⁻⁴. In standard form, the number is expressed without scientific notation, where each digit is represented by its respective place value. The original number, 8.0 × 10⁻⁴, is a small number, and writing it in standard form as 0.0008 helps visualize its relative size. Standard form is a common way to express numbers in a more familiar and readable format.
Learn more about standard form here: https://brainly.com/question/17264364
#SPJ11
Let F(x) = integral from 0 to x sin(3t^2) dt. Find the MacLaurin polynomial of degree 7 for F(x)
Answer:
\(\displaystyle \int^x_0\sin(3t^2)\,dt\approx x^3-\frac{27}{42}x^7\)
Step-by-step explanation:
Recall the MacLaurin series for sin(x)
\(\displaystyle \sin(x)=x-\frac{x^3}{3!}+\frac{x^5}{5!}-...\)
Substitute 3t²
\(\displaystyle \displaystyle \sin(3t^2)=3t^2-\frac{(3t^2)^3}{3!}+\frac{(3t^2)^5}{5!}-...=3t^2-\frac{3^3t^6}{3!}+\frac{3^5t^{10}}{5!}-...\)
Use FTC Part 1 to find degree 7 for F(x)
\(\displaystyle \int^x_0\sin(3t^2)\,dt\approx\frac{3x^3}{3}-\frac{3^3x^7}{7\cdot3!}\\\\\int^x_0\sin(3t^2)\,dt\approx x^3-\frac{27}{42}x^7\)
Hopefully you remember to integrate each term and see how you get the solution!
A tutor charges $35 per hour. In one week, the tutor spends 4 and a half hours tutoring one student and 11 hours tutoring another student. Determine the total amount the tutor earned that week.
Answer:
542.5
Step-by-step explanation:
35 times 15 = 525
525 + 35/2 = 542.5
The required total amount the tutor earned that week is $542.5.
Given that,
A tutor charges $35 per hour. In one week, the tutor spends 4 and a half hours tutoring one student and 11 hours tutoring another student. To determine the total amount the tutor earned that week.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
The tutor charges $35 per hour,
Total hour of teaching = 4 1 / 2 + 11
= 4.5 + 11 = 15 .5 hours
Total amount earned for 15.5 hours,
= 15.5 * 35
= $542.5
Thus, the required total amount the tutor earned that week is $542.5.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
need help to solve please
Answer:
\(\displaystyle m\angle RTU=73^\circ\)
Step-by-step explanation:
Interior Angle of a Circle
An interior angle of a circle is formed at the intersection of two lines that intersect inside a circle.
Lines AC and BD of the figure attached below intersect forming arcs p and q. The measure of the interior angle x is:
\(\displaystyle x=\frac{p+q}{2}\)
The question includes the drawing of a circle with lines US and RV intersecting at point T. The measure of the interior angle RTU is:
\(\displaystyle m\angle RTU=\frac{68^\circ+78^\circ}{2}\)
\(\displaystyle m\angle RTU=\frac{146^\circ}{2}\)
\(\boxed{\displaystyle m\angle RTU=73^\circ}\)
club has a 30 percent probability of winning each of the next 3 matches. what is the probability the club will win at least 1 of those 3 matches?
To calculate the probability that the club will win at least 1 of the 3 matches, we need to calculate the probability that they will lose all 3 matches and then subtract that from 1.
The probability of losing all 3 matches would be (0.7)^3 = 0.343. So the probability of winning at least 1 of the 3 matches would be 1 - 0.343 = 0.657, or approximately 66 percent.
To find the probability that the club will win at least 1 of the next 3 matches with a 30 percent probability of winning each match, we can use the complementary probability method. This involves finding the probability of the opposite event occurring (i.e., the club losing all 3 matches) and then subtracting that probability from 1.
Step 1: Determine the probability of losing each match. Since the club has a 30 percent probability of winning each match, the probability of losing each match is 1 - 0.30 = 0.70.
Step 2: Find the probability of losing all 3 matches. Since the matches are independent events, you can multiply the probability of losing each match together: 0.70 * 0.70 * 0.70 = 0.343.
Step 3: Calculate the complementary probability. To find the probability of winning at least 1 match, subtract the probability of losing all 3 matches from 1: 1 - 0.343 = 0.657.
So, the probability that the club will win at least 1 of the next 3 matches with a 30 percent probability of winning each match is 0.657 or 65.7%.
Visit here to learn more about probability:
brainly.com/question/30034780
#SPJ11
what is the probability (in percentage) that a score will fall between a -3z and +2 z scores?
The probability (in percentage) that a score will fall between a -3z and +2 z scores is 97.59%.
Assuming a standard normal distribution, the probability that a score falls between -3z and +2z can be calculated as the difference between the cumulative probabilities of +2z and -3z.
Using a standard normal distribution table or calculator, we find that the cumulative probability of +2z is approximately 0.9772, and the cumulative probability of -3z is approximately 0.0013.
Therefore, the probability that a score falls between -3z and +2z is:
0.9772 - 0.0013 = 0.9759
Converting to a percentage, we get:
0.9759 x 100% ≈ 97.59%
So the probability that a score falls between -3z and +2z is approximately 97.59%.
To know more about Probability:
https://brainly.com/question/11234923
#SPJ4
The sum of three consecutive integers is 105. Find the smallest integer.
Answer:
34.
Step-by-step explanation:
The three integers would be 34,35,36 because the sum of the three numbers is 105.
what is a good estimate for the cost of a 4,000 sq. ft. cabin if (i) cost items 1 and 2 do not vary with respect to cabin size, and (ii) cost items 3-8 change in proportion to cabin size?
Estimating the cost of a 4,000 sq. ft. cabin requires information about the cost per square foot for items 3-8, as well as the specific cost of items 1 and 2. This can be solved by the concept of Surface and area.
To estimate the cost of a 4,000 sq. ft. cabin, we can assume that the cost per square foot will remain relatively constant for items 3-8, which change in proportion to cabin size. This means that the cost of these items will increase proportionally with the size of the cabin. Therefore, we can estimate the cost of the cabin by multiplying the cost per square foot by the total square footage of the cabin.
To do this, we need to know the cost per square foot for items 3-8. We can estimate this by dividing the total cost of these items by the total square footage of a smaller cabin (e.g. 2,000 sq. ft.). For example, if the total cost of items 3-8 for a 2,000 sq. ft. cabin is $200,000, the cost per square foot would be $100.
Using this cost per square foot, we can estimate the total cost of a 4,000 sq. ft. cabin by multiplying it by the total square footage of the cabin (4,000 sq. ft.). In this example, the estimated total cost of the cabin would be $400,000 for items 3-8.
However, we still need to factor in the cost of items 1 and 2, which do not vary with respect to cabin size. Without knowing the specific cost of these items, it is difficult to estimate the total cost of the cabin. Therefore, we cannot provide a specific estimate without additional information.
Therefore, estimating the cost of a 4,000 sq. ft. cabin requires information about the cost per square foot for items 3-8, as well as the specific cost of items 1 and 2
To learn more about Surface and area here:
brainly.com/question/29298005#
#SPJ11
A man is trapped in a room at the center of a maze. The room has three exits. Exit 1 leads outside the maze after 3 minutes, on average. Exit 2 will bring him back to the same room after 5 minutes. Exit 3 will bring him back to the same room after 7 minutes. Assume that every time he makes a choice, he is equally likely to choose any exit. What is the expected time taken by him to leave the maze?Hint: Let X = time taken by the man to leave the maze from this room. Let Y = exit he chooses first. So Y belongs in { 1,2,3} Calculate the conditional expectation of time taken to leave the maze given that he chose each of the exits. Then use these conditional expectations to calculate the expectation of time taken to leave the maze.
The expected time taken by the man to leave the maze is 15 minutes.
To find the expected time taken by the man to leave the maze, we'll first calculate the conditional expectation of time taken given that he chose each of the exits, and then use these conditional expectations to calculate the overall expectation.
Step 1: Calculate the conditional expectations :
- If he chooses Exit 1 (probability 1/3), he leaves the maze after 3 minutes.
- If he chooses Exit 2 (probability 1/3), he returns to the same room after 5 minutes and starts again. So, the expected time in this case is 5 + E(X).
- If he chooses Exit 3 (probability 1/3), he returns to the same room after 7 minutes and starts again. So, the expected time in this case is 7 + E(X).
Step 2: Calculate the overall expectation :
E(X) = (1/3)*(3) + (1/3)*(5 + E(X)) + (1/3)*(7 + E(X))
Now, we'll solve for E(X):
3E(X) = 3 + 5 + 7 + 2E(X)
E(X) = 15 minutes
The expected time taken by the man to leave the maze is 15 minutes.
To learn more about conditional probability visit : https://brainly.com/question/30760899
#SPJ11
According to the problem, there are three possible exits (1, 2, and 3) from the room in the center of the maze. The probabilities of choosing each of these exits are equal.
Exit 1 leads to the outside of the maze, and it takes 3 minutes on average to reach it. Exit 2 leads back to the same room, so the man will need to start over again. Exit 3 also leads back to the same room, and it takes longer than exit 2 to get there (7 minutes).Let X be the time taken by the man to leave the maze from this room. Let Y be the exit he chooses first. Y belongs to {1, 2, 3}. Calculate the conditional expectation of the time taken to leave the maze given that he chose each of the exits. Then use these conditional expectations to calculate the expectation of the time taken to leave the maze.The expected value of X can be calculated as follows:() = ( | = 1) × ( = 1) + ( | = 2) × ( = 2) + ( | = 3) × ( = 3)Expected time to leave the maze through exit 1:( | = 1) = 3Expected time to leave the maze through exit 2:( | = 2) = 5 + ()Expected time to leave the maze through exit 3:( | = 3) = 7 + ()The probability of choosing each exit is 1/3, so:P(Y = 1) = 1/3P(Y = 2) = 1/3P(Y = 3) = 1/3Substituting these values into the equation for ():() = 3(1/3) + (5 + ())(1/3) + (7 + ())(1/3)() = 5 + (2/3)() + (7/3)()() = 15 minutes. Therefore, the expected time taken by the man to leave the maze is 15 minutes.
Learn More About Conditional Expectation: https://brainly.com/question/23382435
#SPJ11
at the luau, a vender was selling 5 leis for $25. what is the unit price?
Answer:
$5
Step-by-step explanation:
if 5 leis are worth $25, each lei would be 25/5
25/5 is 5/1, when the denominator is one, that is unit price
the unit price is $5
Jude types 840 characters in 5 minutes. What is her typing rate in characters per minute?
In t years, the population of a certain city grows from 500,000 to a size P given by P(t) = 500,000 + 1000+². dP a) Find the growth rate, dt b) Find the population after 20 yr. c) Find the growth rate at t = 20. d) Explain the meaning of the answer to part (c). b) The population after 20 yr is (Simplify your answer.) c) The growth rate at t=20 is (Simplify your answer.) d) What is the meaning of the answer to part (c)? *** A. The growth rate tells the rate at which the population is growing at time t=20-1. B. The growth rate tells the difference between the rate of growth at the beginning of t=0 and t = 20. C. The growth rate tells the rate at which the population is growing at time t = 20. D. The growth rate tells the average growth from time t=0 and t=20.
C - The growth rate tells the rate at which the population is growing at time t = 20 is the correct answer.
(a) Find the growth rate, dt The given expression for population growth in the city is P(t) = 500,000 + 1000t².To find the growth rate, we differentiate P(t) w.r.t. t. dP/dt = d/dt (500,000 + 1000t²) = 2000tThe growth rate is 2000t.
(b) Find the population after 20 yr.To find the population after 20 years, we need to find P(20). P(t) = 500,000 + 1000t²Putting t = 20, P(20) = 500,000 + 1000(20)² = 3,700,000(c) Find the growth rate at t = 20.The growth rate at t = 20 is 2000t, where t = 20. So, the growth rate at t = 20 is 40,000.(d) Explain the meaning of the answer to part
(c).The growth rate at t = 20 tells us the rate at which the population is growing at that particular point in time. The population growth rate at t = 20 is 40,000 people per year, which means the city is growing rapidly at that particular point in time.
Therefore, option C - The growth rate tells the rate at which the population is growing at time t = 20 is the correct answer.
To know more about population visit:
brainly.com/question/32654582
#SPJ11
Using inequalities to solve problems The price of a train ticket consists of an initial fee of $5 plus a fee of $2.75 per stop. Julia has $21 and would like to travel 50 kilometers. She wants to know the largest number of stops she can afford to buy on a ticket. Let S represent the number of stops that Julia buys. 1) Which inequality describes this scenario? Choose 1 answer: A 5 +2.75 S < 21 в 5 +2.75S > 21 5 +2.75. S < 50 D 5 +2.75.S > 50
The inequality would be letter A.
\(5+2.75S\leq21\)\(2.75S\leq21-5\)\(2.75S\leq16\)\(S\leq5.81\)The largest number of stop that Julia can afford is 5
what is 1/2 of 1/6 =
Answer:
0.0833
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
SHOW YOUR WORK! ??????????
Answer:
m = - 4Solved in the attachment!!Step-by-step explanation:
HOPE IT HELPS YOU!!how do you check your result after factoring a polynomial?
The original polynomial, \(x^2 + 7x + 12\), it can be seen that the two are the same, thus confirming that the polynomial was correctly factored.
To check the result after factoring a polynomial, one can use the FOIL method to ensure that the factored polynomial is equivalent to the original polynomial. The FOIL method stands for First, Outer, Inner, Last, and is used to multiply two binomials. To check the result, one would use the FOIL method to multiply the factored polynomial, and compare the result to the original polynomial. For example, let’s consider the polynomial\(x^2+7x+12\). After factoring, this can be written as (x+4)(x+3). To check the result, one would multiply the two binomials together, (x+4)\((x+3) = x^2 + 3x + 4x + 12\). Comparing this to the original polynomial, \(x^2 + 7x + 12\), it can be seen that the two are the same, thus confirming that the polynomial was correctly factored.
Learn more about polynomial here:
https://brainly.com/question/11536910
#SPJ4
PLEASE ANSWER
What is the vertex of this quadratic function?
A)
(-4,0)
B)
(-2,0)
C)
(-3, 1)
D)
(0, -8)
POWER TO A POWER
(ax) y =
When raising a base with an exponent to
another exponent, keep the
and
the exponents.
A number raised to a power represents a product where the same number is used as a repeated factor. The number is called the base and the power is given by the exponent. The base is the repeated factor and the exponent counts the number of factors. An exponent is that we are dealing with products and multiplication.
In the expression bn, b is the base and n is the exponent.
The Power Rule for Exponents: (am)n = am*n.
To raise a number with an exponent to a power, multiply the exponent times the power.
Negative Exponent Rule: x–n = 1/xn.
Invert the base to change a negative exponent into a positive.
Zero Exponent Rule: x0 = 1, for .
Any non-zero number raised to the zeroth power is 1.
For more information about Exponents
visit brainly.com/question/13669161
#SPJ9
1. Graph one period of the function y=−2sec(x). Label the asymptotes, and label 3 points on the graph. Give the domain and the range in interval notation. 2. Graph one period of the function y=4csc(x). Label the asymptotes, and label 2 points on the graph. Give the domain and range in interval notation. 3. Graph one period of the function y=
2
−
tan(x). Label the asymptotes, and label 3 points on the graph. Give the domain and range in interval notation. 4. Graph one period of the function y=cot(x)+2. Label the asymptotes, and label 3 points on the graph. Give the domain and range in interval notation. 5. Graph one period of the function y=cot(
3
−x
). Label the asymptotes and label three points on the graph. Give the range in interval notation. 6. Graph one period of the function y=tan(2x). Label the asymptotes and label three points on the graph. Give the range in interval notation.
For the function y = -2sec(x), the graph has vertical asymptotes at x = π/2 and x = 3π/2 the domain is (-∞, (π/2) + nπ) U ((π/2) + nπ, (3π/2) + nπ) U ((3π/2) + nπ, ∞). The range of the function is (-∞, -2] U [-2, ∞) in interval notation. The function y = 4csc(x) has vertical asymptotes at x = 0 and x = π. Two points on the graph could be (-π/2, 4) and (π/2, 4). The function y = 2/tan(x) has vertical asymptotes at x = π/2 and x = 3π/2. The function y = cot(3-x) haotation (-∞, ∞).s a vertical asymptote at x = 3.
For the function y = -2sec(x), the graph has vertical asymptotes at x = π/2 and x = 3π/2. Three points on the graph could be (-π/3, -2), (0, -2), and (π/3, -2). The domain of the function is all real numbers except for the values where sec(x) is undefined, which occur when x = (π/2) + nπ or x = (3π/2) + nπ, where n is an integer. In interval notation, the domain is (-∞, (π/2) + nπ) U ((π/2) + nπ, (3π/2) + nπ) U ((3π/2) + nπ, ∞). The range of the function is (-∞, -2] U [-2, ∞) in interval notation.
The function y = 4csc(x) has vertical asymptotes at x = 0 and x = π. Two points on the graph could be (-π/2, 4) and (π/2, 4). The domain of the function is all real numbers except for the values where csc(x) is undefined, which occur when x = nπ, where n is an integer. In interval notation, the domain is (-∞, nπ) U (nπ, ∞). The range of the function is (-∞, -4] U [4, ∞) in interval notation.
The function y = 2/tan(x) has vertical asymptotes at x = π/2 and x = 3π/2. Three points on the graph could be (-π/4, -2), (0, 0), and (π/4, 2). The domain of the function is all real numbers except for the values where tan(x) is undefined, which occur when x = (π/2) + nπ, where n is an integer. In interval notation, the domain is (-∞, (π/2) + nπ) U ((π/2) + nπ, (3π/2) + nπ) U ((3π/2) + nπ, ∞). The range of the function is all real numbers in interval notation (-∞, ∞).
The function y = cot(x) + 2 has vertical asymptotes at x = 0 and x = π. Three points on the graph could be (-π/4, 1), (0, 2), and (π/4, 3). The domain of the function is all real numbers except for the values where cot(x) is undefined, which occur when x = nπ, where n is an integer. In interval notation, the domain is (-∞, nπ) U (nπ, ∞). The range of the function is all real numbers in interval n
The function y = cot(3-x) haotation (-∞, ∞).s a vertical asymptote at x = 3. Three points on the graph could be (2, ∞), (3, undefined), and (4, -∞). The range of the function is all real numbers except for the value when x = 3. In interval notation, the range is (-∞, ∞) except {undefined}.
The function y = tan(2x) has vertical asymptotes at x = π/2, x = 3π/2, x = 5π/2, etc. Three points on the graph could be (-π/8,
Learn more about vertical asymptotes here:
brainly.com/question/29260395
#SPJ11
Which is the correct label of the parallel lines?(4 points)
Answer:
1
Step-by-step explanation:
a//b is the correct answer plz add this as brainliest
Answer:
A ll B. hope this helps
Step-by-step explanation:
- Zombie
can someone pleaseee help me with explaination
2-3a / 4 >5
THE DASH IS FOR DIVISION SO 2- 3a OVER 4
Answer:
a < -4
I apologise if it is wrong.
Which of the following can you conclude about a particle labeled 1 0n ?Check all that apply.
Answer:
B and C
Step-by-step explanation:
Firstly it is not A because an alpha particle has a mass and atomic number of 2. So it would be written 2, 2, alpha.
Next, we can see by its mass number of 1 that it has one nucleon (Confirming C) as electrons have negligible mass. Because it has then has an atomic number of 0, we can conclude that it is a neutron, as a proton would have given it an atomic number of 1. This proves B to be correct and D to be incorrect.
E is incorrect as beta particles have negligible mass.
F could be correct but there is no way to tell whether or not it has an electron so we cannot tick it.
Finally G is incorrect because we already worked out the one nucleon has to be a neutron.
Hope this helped!
What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?
–12 – 20x ≤ –6x + 9
–12 – 20x ≥ –6x + 9
–12 + 20x ≤ –6x + 9
–12 + 20x ≥ –6x + 9
Answer:
-12 +20x≥ -6x+9
Step-by-step explanation:
–4(3 – 5x)≥ –6x + 9
We want to distribute the negative 4
-12 +20x≥ -6x+9
Answer:
D
Step-by-step explanation:
There are black and white counters in a bag in the ratio 20:17
There are 54
more black counters than white counters.
How many black counters are there?
There are 360 black counters and 306 white counter in 20:17 ratio.
Let's denote the number of black counters by B and the number of white counters by W. We know that the ratio of black to white counters is 20:17, which means that:
B/W = 20/17
We also know that there are 54 more black counters than white counters, which means that:
B = W + 54
We can use substitution to solve for B. Substituting the second equation into the first equation, we get:
(W + 54)/W = 20/17
Cross-multiplying, we get:
17(W + 54) = 20W
Expanding the left side, we get:
17W + 918 = 20W
Subtracting 17W from both sides, we get:
918 = 3W
Dividing both sides by 3, we get:
W = 306
Now we can use the second equation to find B:
B = W + 54 = 306 + 54 = 360
Therefore, there are 360 black counters in the bag.
To learn more about ratio click here
brainly.com/question/13419413
#SPJ4
Tad began his math homework at 8:12 pm. He finished at 8:41 pm. How many minutes did Tad spend on his math homework?
Answer:29 mins
Step-by-step explanation: you take 41- 12= 29