Evaluate the expression using a model
and division.
3/4 divided by 3/5
Answers
\( \frac{3}{4} \div \frac{3}{5} \\= \frac{3}{4} \times \frac{5}{3} \\ = \frac{5}{4} \)
Related Questions
Morganton Company makes one product and it provided the following information to help prepare the master budget:
The budgeted selling price per unit is $60. Budgeted unit sales for June, July, August, and September are 8,600, 17,000, 19,000, and 20,000 units, respectively. All sales are on credit.
Thirty percent of credit sales are collected in the month of the sale and 70% in the following month.
The ending finished goods inventory equals 25% of the following month’s unit sales.
The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Each unit of finished goods requires 5 pounds of raw materials. The raw materials cost $2.40 per pound.
Thirty five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.
The direct labor wage rate is $14 per hour. Each unit of finished goods requires two direct labor-hours.
The variable selling and administrative expense per unit sold is $1.80. The fixed selling and administrative expense per month is $67,000.
5. If 96,250 pounds of raw materials are needed to meet production in August, how many pounds of raw materials should be purchased in July?
Answers
Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July
X pounds - 0.35 * X pounds = 9,500 pounds
Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.
To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.
Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.
The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.
To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.
Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.
The payment for raw materials purchases in July (35% of X pounds) will be:
0.35 * X pounds
The payment for raw materials purchases in August (65% of X pounds) will be:
0.65 * X pounds
Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:
Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July
X pounds - 0.35 * X pounds = 9,500 pounds
Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.
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The following selected information was extracted from the records of B Solomon.
1. B Solomon, the owner of Solomon Traders, bought a new Machine for R250 000 on 1 July 2013.
2. On 1 October 2014, he purchased a second Machine for R350 000 cash.
3. On 30 June 2015, the Machine bought during 2013 was sold for R120 000 cash.
4. It is the business’ policy to depreciate Machines at 20% per annum on cost.
REQUIRED:
Prepare the following ledger accounts reflecting all applicable entries, in the books of Solomon Traders, properly balanced/closed off, for the years ended 31 March 2016:
1.1. Accumulated depreciation.
1.2. A Machines realisation.
NB: Show all calculations as marks will be awarded for calculations.
Answers
1.1. Accumulated depreciation:
The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.
1.2. Machine realization:
The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.
1.1. Accumulated Depreciation:
To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.
Machine bought on 1 July 2013:
Cost: R250,000
Depreciation rate: 20% per annum on cost
Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000
Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000
Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000
Accumulated depreciation for the machine bought on 1 July 2013:
As of 31 March 2014: R50,000
As of 31 March 2015: R100,000
As of 31 March 2016: R150,000
1.2. Machine Realisation:
To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.
Machine's original cost: R250,000
Accumulated depreciation as of 30 June 2015: R100,000
Net book value as of 30 June 2015:
R250,000 - R100,000 = R150,000.
On 30 June 2015, the machine was sold for R120,000.
Realisation amount: R120,000
To record the sale:
Debit Cash: R120,000
Debit Accumulated Depreciation: R100,000
Credit Machine: R250,000
Credit Machine Realisation: R120,000
Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).
These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.
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Set up and solve an equation for the value of x. Use the value of x and a relevant angle relationship in the diagram.
(please also show an step by step process of getting EAF!)
Answers
Answer:
x = 27 , ∠ EAF = 27°
Step-by-step explanation:
∠ GAF = 90° , then
∠ GAC + ∠ CAF = ∠ GAF , that is
x + 63 = 90 ( subtract 63 from both sides )
x = 27
∠ DAE = 90°
since CD is a straight angle of 180° , then
∠ CAE = 90° , so
∠ CAF + ∠ EAF = ∠ CAE , that is
63° + ∠ EAF = 90° ( subtract 63° from both sides )
∠ EAF = 27°
Is the ordered pair (4,1) a solution of the system of linear equations:
-x + y = -3
x + 3y = 6
a. yes
b. no
Answers
The ordered pair (4, 1) is not a solution to the system,
- x + y = - 3 and x + 3y = 6.
What is a linear equation?An equation of degree one is known as a linear equation.
A linear equation of two variables can be represented by ax + by = c.
Given, A system of linear equations - x + y = - 3 and x + 3y = 6.
An ordered pair must satisfy both equations simultaneously.
For, - x + y = - 3
- 4 + 1 = - 3.
- 3 = - 3 (satisfied).
For, x + 3y = 6.
4 + 3(1) = 6.
4 + 3 = 6.
But, 7 ≠ 6.
Therefore, the ordered pair is not a solution.
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Troy runs marathons, which are about 26 miles long. He usually runs 4 marathons a year, and he has been doing this for 11 years. Troy estimates he has run a little over 100 miles during all these marathons. Is that a good estimate?
Yes
No it is much high
No it is much low
Answers
Graph the circle (x-2)^2 + (y-7)^2 = 4
Answers
Answer:
see attached
Step-by-step explanation:
You want the graph of the circle defined by the equation ...
(x-2)^2 + (y-7)^2 = 4.
Circle equationThe equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
Comparing this to the given equation, we see ...
h = 2, k = 7, r² = 4
Then r = √4 = 2.
The circle will have its center at (2, 7) and will have a radius of 2. It is shown in the attached graph.
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Can u pleaseee answer all parts pleaseeeee <3333
please help meee
Answers
a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)
b. The increase in cost between 12 noon and 3 pm is $2.
c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)
How do you express a data set in interval notations?Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.
The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.
We can represent it as (8am, 9am) U (11am, 12pm).
It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).
And stays constant at : (9am, 10am) U (10am, 11am)
Cost increase from 12 to 3pm,We simply deduct the 12pm's cost from 3pm's cost.
So, we have
Cost increase = $3.5 - $1.5
Evaluate the difference
Cost increase = $2
Hence, the cost increase is $2
The time interval where the cost is lowerWhen you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)
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tyler orders a meal thats 15$ if the tax rate is 6.6% how much will the sales tax be on tylers meal?
Answers
Answer : 0.99
Explanation : 15 * 6.6/100 For The Tax.
Total : 15.99
A company’s cereal boxes advertise that each box contains 9.65 ounces of cereal. In fact, the amount of cereal in a randomly selected box follows a Normal distribution with mean μ = 9.70 ounces and standard deviation σ = 0.03 ounce. Now take an SRS of 5 boxes. What is the probability that the mean amount of cereal in these boxes is less than 9.65 ounces?
What is the probability that the mean amount of cereal ¯
in 5 randomly selected boxes is at most 9.65?
Answers
The probability that the mean amount of cereal in 5 randomly selected boxes is at most 9.65 ounces is 0.4808.
What is the probability?The Central limit theorem is used to find the probability
Data given:
sample size = 5.
mean, μ = 9.70 ounces
standard deviation, σ = 0.03 ounce.
To calculate the probability, we determine the z-score corresponding to the sample mean of 9.65 ounces using the z-score formula.
z = (x - μ) / (σ / √n)wherex is the sample mean,
μ is the population mean,
σ is the population standard deviation, and
n is the sample size.
For the sample mean of 9.65 ounces in 5 boxes:
z = (9.65 - 9.70) / (0.03 / √5)
z ≈ -0.05 / (0.03 / √5)
Using a calculator, we find that the probability is approximately 0.4801.
Therefore, the probability that the mean amount of cereal in 5 randomly selected boxes is less than 9.65 ounces is approximately 0.4801.
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Alexa is hooked on a new book series, The Galaxy. Each book in the series is the same length and chronicles a different year in the Waka Waka Galaxy. Alexa has cleared off the top shelf of her bookcase to leave room for each of the books as they come out. There is a proportional relationship between the number of books on the shelf, x, and how much shelf space the books take up (in inches), y.
The equation that models this relationship is y=2x.
How many books will take up 16 inches of shelf space? Write your answer as a whole number or decimal.
Answers
Answer: 8 books
Step-by-step explanation:
y= how much shelf space take up (inches)
x= # of books
y=2x
in this situation 16=y
16=2x
divide both sides by 2
8=x
Put these fractions into ascending order (smallest to largest): 8/15 2/15 9/15 6/15 12/15
Answers
Answer:
2/15 6/15 8/15 9/15 12/15
Step-by-step explanation:
Answer: 2/15, 6/15, 8/15, 9/15, 12/15.
Step-by-step explanation:
Just treat the denominators like they are not there for now, and treat the numerators like they are whole numbers and then rearrange:
8, 2, 9, 6, 12
Now rearrange from smallest to largest:
2, 6, 8, 9, 12
Now just put the denominators back in under the arranged numbers:
2/15, 6/15, 8/15, 9/15, 12/15
Words and their definitions:
Numerator: Top part of the fraction
Denominator: Bottom part of the fraction
Help me pls pls pls pls
Answers
Answer:
The valid point is (5/2, 5)
Step-by-step explanation:
In order to check which ones are valid we will apply all of them to the expression.
(5,15):
\(\frac{2}{5}x - \frac{1}{5}y \geq 0\\\\\frac{2}{5}5 - \frac{1}{5}15 \geq 0\\\\-1 \geq 0\)
False.
(1/2, 5):
\(\frac{2}{5}x - \frac{1}{5}y \geq 0\\\\\frac{2}{5}\frac{1}{2} - \frac{1}{5}5 \geq 0\\\\-\frac{4}{5} \geq 0\)
False.
(5/2, 5):
\(\frac{2}{5}x - \frac{1}{5}y \geq 0\\\\\frac{2}{5}\frac{5}{2} - \frac{1}{5}5 \geq 0\\\\0 \geq 0\)
True.
(2,5):
\(\frac{2}{5}x - \frac{1}{5}y \geq 0\\\\\frac{2}{5}2 - \frac{1}{5}5 \geq 0\\\\-\frac{1}{5} \geq 0\)
False
(-1,0):
\(\frac{2}{5}x - \frac{1}{5}y \geq 0\\\\\frac{2}{5}(-1) - \frac{1}{5}0 \geq 0\\\\-\frac{2}{5} \geq 0\)
False.
Find the 69th term of the following arithmetic sequence.
6, 15, 24, 33,
Answers
Answer:
414
Step-by-step explanation:
6 x 69= 414
Answer:
618
Step-by-step explanation:
9n-3
9 x 69 - 3
= 618
........
A charity is considering the possibility of having a benefit night at two different restaurants. The owner of the local Italian restaurant has offered to make a donation of $462 and $1 per diner that night. On the other hand, the owner of the Mexican restaurant has said he could contribute $235 plus $2 per diner. Based on the number of diners who have promised to participate in the event, it appears that each restaurant would donate the same total amount. How many diners promised to participate? How much would each restaurant donate?
Answers
Let's assume that the number of diners at the Italian restaurant is "x" and the number of diners at the Mexican restaurant is "y". Then, we can write the following equations based on the given information:
Italian restaurant:
Donation = $462 + $1 per diner
Donation = $462 + $1x
Mexican restaurant:
Donation = $235 + $2 per diner
Donation = $235 + $2y
Since both restaurants will donate the same total amount, we can set their donations equal to each other:
$462 + $1x = $235 + $2y
Simplifying this equation, we get:
$2y - $1x = $227
We know that the number of diners has to be a whole number, so we can try different values of x and see which one gives us a whole number for y.
For example, if we try x = 200, then we can solve for y:
$2y - $1(200) = $227
$2y = $427
y = 213.5
Since y is not a whole number, we need to try a different value of x. If we try x = 250, then we get:
$2y - $1(250) = $227
$2y = $477
y = 238.5
Again, y is not a whole number, so we try another value of x. If we try x = 300, then we get:
$2y - $1(300) = $227
$2y = $527
y = 263.5
Still not a whole number, so we try x = 350:
$2y - $1(350) = $227
$2y = $577
y = 288.5
Finally, we get a whole number for y, so we have our solution:
Italian restaurant: x = 350 diners, donation = $812
Mexican restaurant: y = 289 diners, donation = $812
Therefore, 350 diners promised to participate and each restaurant would donate $812.
The hockey team team won 8 out of their 14 games, At the same rate how many games should they expect to win out of 84?
Answers
Answer:
48 Games
Step-by-step explanation:
8/14 = 0.57142857142
84 x 0.57142857142 = 48 games
Hope that helps have a lovely night!
What is the solution for the equation? 14.8 = n minus 0.3
Answers
Answer:
15.1
Step-by-step explanation:
14.8=n-.3
you'd add .3 to other side so it'd be 15.1
Answer:
D
Step-by-step explanation:
Multiply: (3x+7)(5x^2-3x+6)
Answers
Answer:
15x^3+26x^2-3x+42
Step-by-step explanation:
(3x+7)(5x^2-3x+6)
15x^3-9x^2+18x+35x^2-21x+42
15x^3-9x^2+35x^2+18x-21x+42
15x^3+26x^2-3x+42
Answer:
15x³ + 26x² - 3x + 42
Step-by-step explanation:
Hi there!
We are given the polynomials 3x+7 and 5x²-3x+6
We want to multiply them together
(3x+7)(5x²-3x+6)
To that, we need to distribute each term of the binomials to each other, and then add them together.
What this means is that we need to multiply 3x by 5x², -3x, and 6, then add them together. Then, multiply 7 by 5x², -3x, and 6. Add those together, and then add everything together.
So, let's first start by multiplying 3x by everything:
3x * 5x² = 15x³
3x * -3x = -9x²
3x * 6 = 18x
Add them together: 15x³ + -9x² + 18x
Now with 7:
7 * 5x² = 35x²
7 * -3x = -21x
7 * 6 = 42
Add them together: 35x² + -21x + 42
Now add 15x³ + -9x² + 18x and 35x² + -21x + 42 together:
15x³ + -9x² + 18x + 35x² + -21x + 42
Combine like terms:
15x³ + 26x² - 3x + 42
Hope this helps!
A charity is raising money by selling two thousand raffle tickets for $2 each. There is one grand prize worth $500, three secondary prizes worth $200 each, and eight third level prizes worth $20 each. What is the expected value of a $2 ticket? Answer is negative $1.358 but how do you calculate that?
Answers
The expected value of a $2 ticket is $0.63
How to determine the expected value of a $2 ticketTo calculate the expected value of a $2 ticket, we need to multiply the probability of winning by the value of the prize, then sum those products:
The Probability of winning the grand prize = 1/2000
Product: (1/2000) x $500 = $0.25
The Probability of winning a secondary prize: 3/2000
Product: (3/2000) x $200 = $0.30
The Probability of winning a third level prize: 8/2000
Product: (8/2000) x $20 = $0.08
The sum of the products:
$0.25 + $0.30 + $0.08 = $0.63
So the expected value of a $2 ticket is $0.63, meaning that on average, a person can expect to win $0.63 for every $2 they spend on a ticket.
The charity is expected to make a profit, which is why the answer is negative.
That is -$2 + $0.63 = -$1.37
So the expected profit for the charity per ticket sold is -$1.37, which is approximately the same as the given answer of negative $1.358(rounding off)
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A student’s school has a contest where you must guess how many jelly beans are in a large cylinder. The student buys a large bag of jelly beans; counts them to find there are 275 in the bag and then dumps them in a measuring cups. The student finds that these 275 jelly beans fill about 1.5 cups. The student quickly measures the jar when no one is around. It is 20 cm in diameter and 30 cm high. About how many jelly beans would be a good estimate?
Answers
On solving the provided question, we can say that volume of cylinder v = 4.13 * 10*10*5 = 2065 cubic units
what is cylinder?One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.
here, we have
r = 10
h = 5
so volume v = 4.13 * 10*10*5 = 2065 cubic units
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Sadie is going to invest in an account paying an interest rate of 3.1% compounded
annually. How much would Sadie need to invest, to the nearest hundred dollars, for
the value of the account to reach $1,030 in 16 years?
Answers
Answer:
600
Step-by-step explanation:
math
What are the new coordinates if the figure were rotated 90 degrees counterclockwise
Answers
Answer:
third option
Step-by-step explanation:
under a counterclockwise rotation of 90° about the origin
a point (x, y ) → (y, - x )
Then
A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )
B (2, - 2 ) → (- 2, - 2 )
C (1, - 4 ) → (- 4, - 1 )
The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
How to determine the new coordinates rotating by 90 degrees counterclockwiseFrom the question, we have the following parameters that can be used in our computation:
The figure,
Where, we have
A = (-1, -2)
B = (2, -2)
C = (1, -4)
The rule of 90 degrees counterclockwise is
(x, y) = (-y, x)
Using the above as a guide, we have the following:
A = (2, -1)
B = (2, 2)
C = (4, 1)
Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
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PLEASE PLEASE HELP WILL MARK BRAINLIST!!!!!!!!!!!!
Answers
The function rule for g(x) is h(x) = (x - 0)² - 7.
How to determine the vertex form of a quadratic equation?In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:
f(x) = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Based on the information provided about the vertex (0, -7) and other points (-3, 2), we can determine the value of a as follows:
f(x) = a(x - h)² + k
2 = a(-3 - 0)² - 7
2 + 7 = 9a
9 = 9a
a = 1
Therefore, the required quadratic function in vertex form is given by:
h(x) = a(x - h)² + k
h(x) = (x - 0)² - 7
h(x) = x² - 7
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On one day at a local minigolf course, there were 414 customers who paid a total of $3,780. If the cost for a child is $9 per game and the cost for an adult is $12 per game, write a system of equations to model this scenario, where x represents the number of children and y represents the number of adults who played that day.
x + y = 414
12x + 9y = 3780
x + y = 414
9x + 12y = 3780
x + y = 3780
12x + 9y = 414
x + y = 3780
9x + 12y = 414
Answers
These two equations form a system that can be solved to find the values of x and y, representing the number of children and adults, respectively, who played on that day.
The correct system of equations to model this scenario is:
x + y = 414 (Equation 1)
9x + 12y = 3780 (Equation 2)
In this system, x represents the number of children and y represents the number of adults who played that day.
Equation 1 represents the total number of customers, which is 414. It states that the sum of the number of children (x) and the number of adults (y) is equal to 414.
Equation 2 represents the total cost of the games played. Since the cost for a child's game is $9 and the cost for an adult's game is $12, we multiply the number of children (x) by $9 and the number of adults (y) by $12. The equation states that the total cost, which is $3780, is equal to the sum of these individual costs.
Together, these two equations form a system that can be solved to find the values of x and y, representing the number of children and adults, respectively, who played on that day.
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Write in standard form
0.000000799
Answers
Answer:
7.99*10^7
is the answer to your question
Answer: 7.99×10\(x^{-7}\)
Step-by-step explanation:
7.99 times 10\(x^{-7}\) = 0.00000799
3. Starting from his house, Reid rode his bike 300 m to the north, then 100 m to the east.
Which of the following vector diagrams shows Reid's path? (Note: The height and width of each
square in the grids is 100 m.)
Answers
Answer:
The answer would be South x
Step-by-step explanation:
Simplify the quotient show the work 5 divided by nine
Answers
1.8 that is the best answer
Answer:
0.56
Step-by-step explanation:
A quotient is a quantity produced by the division of two numbers.
5 / 9 = 0.555555556
0.555555556 = 0.56
what is the pythagoras theorum in terms of shakespear?
Answers
Answer:*
Step-by-step explanation:
Drag each tile to the correct box. Ross has a box of movies in four genres: romance, comedy, drama, and science fiction. The table gives the probability of picking a movie of each genre. Movie Genre Probability romance 0.38 comedy 0.1 science fiction 0.22 drama 0.3 As part of an experiment, Ross picks a movie at random and then replaces it. He repeats the process 200 times. Place the following events in order from the event with the lowest predicted frequency to the event with the highest predicted frequency. picking a romantic movie picking a comedy movie picking a science fiction movie picking a dramatic movie , , ,
Answers
Answer:
0.1
0.3
0.22
0.38
Step-by-step explanation:
Answer:
1ST BOX Picking a Comedy movie
2ND BOX picking a science fiction movie
3RD BOX picking a dramatic movie
LAST BOX Picking a romantic movie
Step-by-step explanation:
I took the test
Which is the graph of a logarithmic function?
On a coordinate plane, a curve starts in quadrant 4 and curves up into quadrant 1.
On a coordinate plane, a straight line is shown.
On a coordinate plane, a hyperbola is shown.
On a coordinate plane, a parabola is shown.
Mark this and return
Answers
The option "On a coordinate plane, a curve starts in quadrant 4 and curves up into quadrant 1" is the correct alternative.
What is logarithmic function?In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x. We can write -
\($y =log_{e} x\)
We have logarithmic function as -
\($y =log_{e} x\)
Refer to the graph of the logarithmic function attached. It can be seen that on a coordinate plane, a curve starts in quadrant 4 and curves up into quadrant 1.
Therefore, the option "On a coordinate plane, a curve starts in quadrant 4 and curves up into quadrant 1" is the correct alternative.
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What is the area of this figure ???????????????
Answers
78
Step-by-step explanation: just add them all
plz give brainly
Basically try and split the weird shapes into simple ones then solve