Concept:- In mixed fractions, we will have one whole number and a proper fraction. So, first we should convert them into improper fractions, which has the numerator greater than the denominator. After, converting to that we should convert the unlike fractions to like fractions by the method of LCM of denominators. Then, we can sub all the fractions so that we can get the answer.
Explanation:
{8(9/10)} - {3(2/3)}
Convert all mixed fractions to proper fractions.
= {(80+9)/10} - {(9+2)/3}
Now, add the both numerators.
= (89/10) - (11/3)
LCM of 10 & 3 is 30.
= {(89*3)/(10*3)} - {(11*10)/(3*10)}
Now, multiply the numerator and denominator of all fractions.
= (267/30) - (110/30)
Write all numerators with common denominator.
= {(267-110)/30}
Subtract the fraction and write it in simplest form.
= 157/30
Write the obtained answer in the form of mixed fraction.
= {5(7/30)}.
also read similar questions: 5/7 + 3 2/5 = 5/9 + 2 4/7 = 6 2/6 + 4/11 = 10 2/3 + 5 1/4 = 9 1/2 + ....
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Jax Incorporated reports the following data for its only product. The company had no beginning finished goods inventory and it uses
absorption costing
Sales price
$ 57.50 per unit
Direct materials
$ 10.50 per unit
Direct labor
$ 8.00 per unit
Variable overhead
$ 12.50 per unit
Fixed overhead
$ 1,237,500 per year
1. Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced and
75,000 units are sold.
2. By how much would the company's gross profit increase or decrease from producing 35,000 more units than it sells?
Answer is complete but not entirely correct.
Complete this question by entering your answers in the tabs below.
Required 1
Required 2
Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced
and 75,000 units are sold.
(a) 75,000 Units (b) 110,000 Units
Produced and
Produced and
75,000 Units Sold 75,000 Units Sold
Sales
4,312,500
4,312,500
The gross income or profit of the company is the difference between the
total revenue and the cost of items produced.
The values for the gross profits are;
(a) $750,000(b) $ -335,0002. The profit of the would decrease by $1,085,000Reasons:
The gross profit is given by the equation;
Gross profit = Net revenue - Cost of items sold
The net revenue for 75,000 units = $57.50 × Sales price per unit
∴ The net revenue for 75,000 units = $57.50 × 75,000 = $4,312,500
Cost of production = 75,000 × Per unit cost of Materials plus Labor plus variable overhead + Fixed overhead
Cost of production = 75,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 3,562,500
The cost of producing 75,00 units per year = $3,562,500
Gross profit = $4,312,500 - $3,562,500 = $750,000
(b) When the number of units produced = 110,000, we have;
Cost of production = 110,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 4,647,500
Gross profit = $4,312,500 - $4,647,500 = $ -335,000 (a loss of 335,000)
2. By producing 35,000 units more than it sells, we have;
Cost > Revenue, therefore, the gross profit decreases
Let, X, represent the number of units sold, we have;
The number of units produced = X + 35,000
Which gives;
Cost of production = (X + 35,000) × (10.50 + 8.00 + 12.50) + 1,237,500 =
31·X + 2,322,500
Net revenue = X × 57.50 = 57.50·X
The profit = 57.50·X - (31·X + 2,322,500) = 26.5·X - 2,322,500
When X = 75,000, we have;
Gross profit = 26.5 × 75,000 - 2,322,500 = -335,000
Therefore;
The gross profit will decrease by 750,000 - (-335,000) = 1,085,000
The gross profit of the company will would decrease by $1,085,000, if it
sells 75,000 units and produces 110,000, which is 35,000 more units than
is sells.
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Sarah had a party and ordered pizzas for everyone to share. If she bought 5 pizzas for $62.50, how much did each pizza cost? 12.50,312.50,13.50,15.62
Answer:
12.50
Step-by-step explanation:
12.50
How many lumps of wax 22 cm by 2 cm by 1 cm can be cut from a block 25 cm by 20 cm by 15 cm?
Answer:
To get least possible number of cubes, first find the HCF of 6, 12 and 15
HCF of 6, 12 and 15 = 3
Least possible number of cubes = (6/3)×(12/3)×(15/3)
=2 × 4 ×5
= 40
please help.......,................
Answer:
8×1=8+64=72
Step-by-step explanation:
there is your answer are you happy now
A wading pool containing 100 gallons of water is leaking at a rate of 5 gallons per minute. At this rate, it will be empty in 20 minutes.
30 liters in 2 minutes = liters per minute
Answer:
0.06 would be the answer.
Step-by-step explanation:
Answer:
15 liters per minute
Step-by-step explanation:
30/2=15
It’s for pre college
Answer:
Not a function
Step-by-step explanation:
Triangle abc is similar to triangles def ghi and jkl the scale factors for the dilations that show triangle abc is similar to each triangle are in the table
Find the side lengths of triangles def ghi and jkl record them in the table
Which are shown on the diagram? Check all that apply.
Answer:
B C. F
Step-by-step explanation:
Based on the table below, find the input and output values of the function.
Answer:
the inputs are: 0,1,2,8,12
the outputs are: 19,9,7,16,17
(Put them in order if needed)
**inputs are x values and outputs are the y values**
X
y
m =
-6
-22
-2
-17
b =
2
-2
6
8
Equation:
10
18
What is the answer
Answer:
Step-by-step explanation:
your answers for 1. would be B. and E. and number 2 doesnt
have a table sorry
HELP ME OUT PLEASE!!!
Which equation matches the function described in the table?
A) y = 4x
B) y = x + 1
C) y = x + 5
D) y = 4x - 1
Answer:
D) y= 4x - 1
Step-by-step explanation:
We are basically trying to see which of the equations provided are true on both sides of the equal sign when you plug in the x and y values.
Let's start!
Choice A:
plug in 0 for x and -1 for y
-1 = 4(0)
And you are left with...
-1 = 0
This equation is false! Therefore it does not match the function in the table
Choice B:
plug in the values again
-1 = 0 + 1
-1 = 1
False!
Choice C:
-1 = 0 + 5
-1 = 5
False!
Lastly...Choice D:
-1 = 4(0) -1
Multiply 4 and 0 which is 0, so you are left with...
-1 = -1
This equation is true!!
So your answer is D
Hope this helps :D
I need help! Does anyone understand?
Answer:
the answer should be G or H
Evaluate this function: h(t) = |t+2| + 3; Find h(6)
Answer:
Step-by-step explanation:
h(6) = |6 + 2| + 3 = |8| + 3 = 8 + 3 = 11
Which equation has the correct sign on the product?
a. 27(-5)=-135
b. 22 x 4= -88
c. (-4)(-4)= -16
d. (-61)(3)= 183
Answer: a.
Would appreciate brainly <3
david has x nickels and y dimes
Harley has 60 beads. There are 11 beads that are NOT round. The rest are round. How many round beads does Michelle have?
HEEELPPP ASAP PLEASE
Answer:
49 round beds
Step-by-step explanation:
60 beds in total= 11 not round beds +?
-11 not round beds=--11 not round beds=?
49 round beds=49 round beds
That's the best way I could explain it.
What is the domain of the square root function graphed below?
4
-6
4
-2
6
X
15
6
Answer:
x[tex]\leq[/tex]-1
Step-by-step explanation:
What is the missing number in this pattern?
1, 7, 8, 15, 23, 38, 61, 99, 160,
The next number in the sequence is the sum of the two note ious numbers.
The next number would be 99 + 160 = 259
1.5 - x
0.4 = - 7.75
Answer:−0.6
Step-by-step explanation:
(-1).3/5=−0.6
Can someone plsss help me
Answer:
y = -5/3 x + 40
Step-by-step explanation:
The general form is y = ax + b, where a is the slope and b is the y intercept.
So immediately you can see that b must be 40, since the line crosses the y axis at 40.
The slope can be calculated by finding two "nice" points on the line that are also grid lines.
How about (0,40) and (6, 30).
Then, calculate the slope by dividing the y difference by the x difference:
(30-40)/(6-0) = -10/6 = -5/3
So C must be the answer.
regal furniture company allocates its indirect salaries of $22,500 on the basis of sales. Determine the indirect salaries allocated to Departments 1 and 2 using the following information.
Answer:
$15750 and $6750Step-by-step explanation:
Revenue share of Dept. 1:
182000/260000*100% = 70%Revenue share of Dept. 2:
100% - 70% = 30%Allocate the indirect salary with same ratio.
Dept. 1:
22500*70/100 = 15750Dept. 2:
22500 - 15750 = 6750Mrs.Peterson dropped a ball from the top of a tower. At the same time, her son, Drake, launches a rocket from a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-2t+26.
The height of Drakes rocket after t seconds can be represented by the linear function: p(t)=-2t+10.
What are the two solutions to this system? Show your work.
Explain which solution is not reasonable in this situation.
After how many seconds do the rocket and the ball reach the same height.
9514 1404 393
Answer:
two solutions: t = -4, t = 4t = -4 is not reasonable4 secondsStep-by-step explanation:
A graphing calculator shows the two solutions to be ...
(t, h) = (-4, 18) and (4, 2)
__
The two heights will be equal when ...
p(t) = b(t)
-2t +10 = -t^2 -2t +26
t^2 -16 = 0 . . . . subtract the right side expression
(t -4)(t +4) = 0 . . . factor the difference of squares
t = 4 or -4 . . . . values of t that make the factors zero
At these times, the heights will be ...
p(t) = -2{4, -4} +10 = {-8, 8} +10 = {2, 18}
The solutions are ...
(t, height) = (-4, 18) and (4, 2).
__
We generally discount solutions for negative time, because we start counting time when the objects are launched. t = -4 is an extraneous solution.
__
The rocket and ball reach the same height after 4 seconds.
can someone help me ?
Which of the following are true?
3^6 x 3^-3 = 27
3^3 x 3^-6 = 1/27
3^2 x 3^1 = 27
3^4 x 3^-1 = 1/27
Answer:
i think that all of them EXCEPT the last one are correct. Explained below
HELP WITH PART C
Lionfish are considered an invasive species, with an annual growth rate of 65%. A scientist estimates there are 7,000 lionfish in a certain bay after the first year.
Part C: If scientists remove 1,300 fish per year from the bay after the first year, what is the recursive equation for f (n)? Show all necessary math work.
So I know that the equation would be
[tex]f(n) = (f_{n-1} )(r)[/tex]
Where f(n) is the number of years but I am confused on how to fill out the rest. Any help would be appreciated. Thank you.
The recursive equation for f(n) will be f(n) = 4242.42(1.65)ⁿ - 1300n.
What is an exponent?Let Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs,
a = initial amount, and r = fraction which this growth/decay occurs.
Lionfish are considered an invasive species, with an annual growth rate of 65%.
Then the equation will be
f(n) = P(1.65)ⁿ
P = initial population
A scientist estimates there are 7,000 lionfish in a certain bay after the first year.
7000 = P(1.65)
P = 4242.42
Then the equation will be,
f(n) = 4242.42(1.65)ⁿ
If scientists remove 1,300 fish per year from the bay after the first year.
Then the recursive equation for f(n) will be,
f(n) = 4242.42(1.65)ⁿ - 1300n
Learn More about the exponent link is given below.
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the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. The mean number of births per minute in a country in a recent year was about seven. Find the probability that the number of births in any given minute is (a) exactly six, (b) at least six, and (c) more than six. (a) P(exactly six)= enter your response here (Round to four decimal places as needed.)
Using the Poisson distribution, it is found that the probabilities are:
a) 0.149
b) 0.6993
c) 0.5503
We are given only the mean, hence, the Poisson distribution is used.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successes e = 2.71828 is the Euler number [tex]\mu[/tex] is the mean in the given interval.The mean is of 7 births per minute, hence [tex]\mu = 7[/tex].
Item a:
The probability is P(X = 6), hence:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 6) = \frac{e^{-7}(7)^{6}}{(6)!} = 0.149[/tex]
Item b:
This probability is:
[tex]P(X \geq 6) = 1 - P(X < 6)[/tex]
In which:
[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
Following the logic used in item a to find each probability, we have that [tex]P(X < 6) = 0.3007[/tex], hence:
[tex]P(X \geq 6) = 1 - P(X < 6) = 1 - 0.3007 = 0.6993[/tex]
Item c:
This probability is:
[tex]P(X > 6) = 1 - P(X \leq 6)[/tex]
[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)[/tex]
We have that [tex]P(X \leq 6) = 0.4497[/tex], hence:
[tex]P(X > 6) = 1 - P(X \leq 6) = 1 - 0.4497 = 0.5503[/tex]
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A child’s ladder is made of 2 sections. Each section is 3/4 meters. How long is the ladder when all 2 sections are extended to make
one ladder?
Answer:
as a mixed fraction it would be 1 2/4 and as an improper fraction it would be 6/4
Step-by-step explanation:
A large grouper can weight 1/4 ton. how much does a large grouper weight to the nearest pound. [ please help ]
Answer:
500 pounds
Step-by-step explanation:
Step-by-step explanation:
To do this divide 2000 by 4.This will give you around 500.
Help please i need to know this answer
Answer:
976
SA=2(S1)+2(S2)+S3
S1=14*24/2
S1=168
S2=25*10
S2=250
S3=14*10
S3=140
SA=2(168)+2(250)+140
SA=976 cm
Part A
Triangle ABC is reflected across the
X-axis to form triangle A'B'C'. What are
the coordinates of C after the
reflection? (Draw the image across the
Taxis)
Do
76
A. (-6,4)
B. (3,-2)
C. (4, -6)
D. (6,-4)
Answer:
D) (6, -4)
Step-by-step explanation:
pt C has coordinates of (6,4)
if you reflect that point across the x-axis the x-value remains the same and the y-value continues to be 4 units from the x-axis, but below it instead of above it