Answers
Answer:
1. 3/20
2. 76/4
3. 16
4. 1/8
5. 11/1
6. 2.5/1
7. 13/1
8. 255/1
9. 20, 140, 240
10. 3.5, 17.5, 31.5
11. 12
12. 2
Related Questions
Question Subtract. Write your answer as a fraction in simplest form. 3 3/4−7/8=
Answers
The answer is 23/8 or 2 7/8
The Thomas family just bought 4 crates of eggs, and each crate had 18 eggs. The family already had 9 eggs in their refrigerator. How many eggs do they have now?
Answers
Answer:
81
Step-by-step explanation:
4 x 18 =72 + 9 =81
Which set of numbers are factors of 20? *
25 points
3, 5, 9
2, 4, 6
1, 2, 4
Answers
Answer:
the asswer is 1 2 4
Step-by-step explanation:
1×20=30
2×10=20
4×5=2
The baking sheet shown holds 12 cookies. Each cookie has a diameter of 3 inches.
What is the area of the unused part of the baking sheet? Round your answer to the
nearest square inch.
Answers
Answer:
23 in^2
Step-by-step explanation:
We need to find the area of the baking sheet and the area of the 12 cookies. Then we subtract the area of the cookies from the area of the baking sheet.
Baking sheet:
length = 4 cookies = 4 * 3 in. = 12 in.
width = 3 cookies = 3 * 3 in. = 9 in.
area = length * width = 12 in. * 9 in. = 108 in.^2
Cookies:
diameter = 3 in.
radius = diameter/2 = 3 in./2 = 1.5 in.
area of 1 cookie = (pi)r^2
area of 12 cookies = 12(pi)r^2 = 12(3.14159)(1.5 cm)^2 = 84.823 in.^2
area of unused space =
= area of baking sheet area of 12 cookies
= 108 in.^2 - 84.823 in.^2
= 23.177 in.^2
Answer: 23 in^2
Magic Realm, Inc., has developed a new fantasy board game. The company sold 15,000 games last year at a selling price of $20 per game. Fixed costs associated with the game total $182,000 per year, and variable costs are $6 per game. Production of the game is entrusted to a printing contractor. Variable costs consist mostly of payments to this contractor.
Required:
1) Prepare a contribution format income statement for the game last year and compute the degree of operating leverage.
2) Management is confident that the company can sell 18,000 games next year (an increase of 3,000 games, or 20%, over last year).
Compute:
a) The expected percentage increase in net operating income for next year.
b) The expected total dollar net operating income for next year.
Answers
The expected total dollar net operating Income for next year = $70,000
1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:
Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000
Variable expenses (15,000 × $6) = $90,000
Contribution margin = $210,000
Fixed expenses = $182,000Net operating income = $28,000
Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)
The expected percentage increase in net operating income for next year:
The expected sales in next year = 18,000
games selling price per game = $20
Therefore, Total sales revenue = 18,000 × $20 = $360,000
Variable expenses = 18,000 × $6 = $108,000
Fixed expenses = $182,000
Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses
= $360,000 – $108,000 – $182,000= $70,000
The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%
The expected total dollar net operating income for next year = $70,000
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The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long. Any washers that do not meet this requirement must be discarded. What percentage of washers will the factory have to discard
Answers
Answer:
32%
Step-by-step explanation:
Let x be the mean of the values and σ their standard deviation.
Since the minimum value of the diameter of the washers is 1.53 mm, then
x - σ = 1.53 mm (1)
Also, the maximum value of the diameter of the washers is 1.65 mm, then
x + σ = 1.65 mm (2)
Adding (1) and (2), we have
x - σ = 1.53 mm
+
x + σ = 1.65 mm
2x = 3.18
x = 3.18/2
x = 1.59 mm
Subtracting (1) and (2), we have
x - σ = 1.53 mm
-
x + σ = 1.65 mm
-2σ = -0.12
σ = -0.12/-2
σ = 0.06 mm
Since the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range. The other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%
This question is based on the percentage. Thus, 32% of washers will the factory have to discard.
Given:
The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long.
We need to determined the percentage of washers will the factory have to discard.
According to question,
Let x be the mean and σ be their standard deviation.
The minimum value of the diameter of the washers is 1.53 mm.
Then,
x - σ = 1.53 mm (1)
Also, the maximum value of the diameter of the washers is 1.65 mm, then
x + σ = 1.65 mm (2)
Adding (1) and (2), we have
x - σ = 1.53 mm
+ x + σ = 1.65 mm
⇒ 2x = 3.18
We get,
x = 1.59 mm
Subtracting (1) and (2), we have
x - σ = 1.53 mm
- x + σ = 1.65 mm
⇒ -2σ = -0.12
We get,
σ = 0.06 mm
Therefore, the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range.
And the other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%.
Thus, 32% of washers will the factory have to discard.
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100 Points! Geometry question. Identify the similar triangles. Then find each measure. Photo attached. Please show as much work as possible. Thank you!
Answers
The triangles ABC and DBE are similar by the SAS similarity theorem
The measure of the side lengths AC is 16 units
How to identify the similar triangles.From the question, we have the following parameters that can be used in our computation:
The triangles ABC and DBE
These triangles have the following measures
Two similar corresponding sidesTwo equal corresponding anglesThis means that the triangles are similar by the SAS similarity theorem
How to find each measureUsing the SAS similarity theorem, we have the following equation
(x + 1)/12 = (x + 5)/15
Cross multiply the equation
15x + 15 = 12x + 60
So, we have
3x = 45
Divide by 3
x = 15
This means that
x + 1 = 15 + 1 = 16
x + 5 = 15 + 5 = 20
Hence, the measure of the side lengths are 16 and 20 units
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Solve for e 0.75(8+e)=2-1.25e
Answers
0.75(8) = 6
6 + 0.75e = 2 - 1.25e
Add 1.25e on both sides
6 + 2e = 2
Subtract 6 on both sides
2e = -4
Divide the whole thing by 2
e = -2
0.75(8)+(0.75)(e)=2+-1.25e
6+0.75e=2+-1.25e
0.75e+6=-1.25e+2
0.75e+6+1.25=-1.25e+2+1.25e
2e+6=2
2e+6-6=2-6
2e=-4
2e/2=-4/2
e=-2
Alissa would like to make a deposit into her savings account. She filled out a deposit ticket and handed it to the teller at her bank. The teller apologizes to Alissa and explains that she cannot accept the deposit ticket in its current form. Determine what, if anything, Alissa will have to change in order for her deposit ticket to be accepted.
A deposit ticket. The amount deposited is 899 dollars and 86 cents and she is taking 260 dollars out as cash. The total on the slip is 629 dollars and 86 cents.
a.
The sub total is calculated incorrectly
b.
Alissa forgot to sign the deposit ticket for less cash back
c.
The total is calculated incorrectly
d.
Alissa forgot to date the deposit ticket
Answer is : C. The total is calculated incorrectly
Answers
Alisa should either fill out a new ticket or write the correct amount and append her signature beside it.
What is a deposit ticket?A deposit ticket is a little paper where you are required to fill in the details of the deposit that you seek to make into your savings account. All information in the ticket ought to be filled accurately.
here, we have,
The teller may have declined to receive the ticket due to incorrect total amount filled on the ticket. Alisa should either fill out a new ticket or write the correct amount and append her signature beside it.
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Identify the property of equality that justifies the missing step in solving the equation below
Answers
Answer:
property of equality that justifies the missing step is Division property of equality
Step-by-step explanation:
We need to Identify the property of equality that justifies the missing step
\(28=4x-8\\28+8=4x\\36=4x\)
Now, we divide both sides by 4 using division property of equality as it states that \(\frac{a}{c}=\frac{b}{c}\)
\(\frac{36}{4}=\frac{4x}{4}\\9=x\)
So, The property of equality that justifies the missing step is Division property of equality
Mary needs a laptop. She decided to barrow one on hire purchase. The marked price of the laptop $100, 200 and she had to pay a deposit of 10% of the marked price. If the total hire purchase price of the laptop is $142, 020 after a 5 year payment plan, how much was Mary’s monthly payments?
Answers
Answer:
2, 367
Step-by-step explanation:
142,020 / 5 = 28, 404
28, 404 / 12 = 2, 367
The given figures are similar find the value of x and simplify your answer
Answers
The value of the variable is 8
How to determine the valueIt is important to note the properties of a rectangle are;
It has four sidesA length and a widthThe sum of the interior angles of a rectangle is 360 degreesThe diagonal divides the rectangle into two equal parts.From the information given, we have that;
the two rectangles are equal, then, we have that;
Width of rectangle 1 = 13
Width of rectangle 2 = 2x - 3
Substitute the values, we have;
Equate the values
2x - 3 = 13
collect the like terms
2x = 13 + 3
2x = 16
Divide by the coefficient, we get;
x = 8
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In one day, the stock price for Zell Computers rose from $50 to $57 per share. By what percent did this stock price rise?
Answers
The stock price rose by 14%
Percentage is the fraction of a sum expressed as a number out of hundred.
Percentage price increase = (change in price / initial price) x 100
In order to determine the answer, the following information is needed :
Change in stock price:New price - Initial price
$57 - $50 = $7
Initial price = $50Percentage increase in stock price : ($7 / $50) x 100 = 14%
In order to determine the percentage increase in the stock price, express the increase in price as a fraction of the initial price and multiply by 100
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Which choice is equivalent to the expression below?
28.24
O A. 28 + 22/10 + 24/100
O B. 28+ 2/10 + 4/10
O C. 28. 22/10. 24/100
O D. 28. 224/10
Answers
Answer:
C
Step-by-step explanation:
A cylinder that has an ideal piston contains one mole of hydrogen gas and undergoes an isobaric expansion that doubles its initial volume.
How much heat is transferred to or from the gas?
a) heat flows into the gas by an amount greater than the mechanical work W
b) heat flows into the gas by an amount less than the mechanical work W
c) heat flows out of the gas by an amount greater than the mechanical work W
d) heat flows out of the gas by an amount less than the mechanical work W
Answers
The option A is correct
In other words, the amount of heat entering the system must be greater than the amount of mechanical effort leaving the system.
Recall the first law of thermodynamics' ideas in order to comprehend this.
dQ = dU + dW
Assuming perfect conditions. There is no heat loss outside. No matter how much heat we give the gas dQ , some of it will be utilised to boost the gas's internal energy while the rest will be used to produce work. This must be less than dQ in turn.
Because of this extremely fundamental characteristic of all engines, none of them can operate at 100% efficiency. Even the "Carnot engine," the most ideal engine, is not entirely efficient.
The option A is correct
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Find a polar equation for the curve represented by the given Cartesian equation. (Use t in lieu of θ in your answer.) x2+y2=8cx
Answers
Answer:
The polar equation of the curve is:
\(r=8c*cos(\theta)\)
Step-by-step explanation:
In polar form x and y could be written as:
\(x=rcos(\theta)\)
\(y=rsin(\theta)\)
Taking the square of each value we have:
Let's recall that \(cos^{2}(\theta)+sin^{2}(\theta)=1\)
\(x^{2}+y^{2}=r^{2}(cos^{2}(\theta)+sin^{2}(\theta))\)
\(x^{2}+y^{2}=r^{2}\)
Then, the cartesian equation is rewritten as:
\(x^{2}+y^{2}=8cx\)
\(r^{2}=8c*rcos(\theta)\)
Therefore, the polar equation of the curve is:
\(r=8c*cos(\theta)\)
I hope it helps you!
Please help! Thanks!
Answers
Need the answer please, soon as possible
Answers
9514 1404 393
Answer:
(d) 27.4%
Step-by-step explanation:
The desired percentage is ...
(juniors for Kato)/(total juniors) × 100%
= 129/(129 +194 +147) × 100%
= (129/470) × 100% ≈ 27.4%
About 27.4% of juniors voted for Kato.
what statements are true about this function
Answers
The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .
What is inverse of a function?An inverse function or an anti function, which can reverse into another function.In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f-1 or F-1.
now the given functions are,
f(x) = √(2x + 2) and
g(x) = (x^2 -2)/2
Now,
f{g(x)} = f{(x^2 -2)/2}
= √(2(x^2 -2)/2 + 2)
= √ x^2 -2 + 2
f{g(x)} = √ x^2
f{g(x)} = x
Now,
g{f(x)} = g{ √(2x + 2)}
= (√(2x + 2)^2 -2)/2
= (2x + 2) -2 /2
= 2x/2
f{g(x)} = x
Here we see that ,
f{g(x)} = g{f(x)}
Hence f and g are not inverses.
∴The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .
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please help me thank you
Answers
The answer is ...
Parallel
Answer:
Parallel
Step-by-step explanation:
Sana makatulong yung sagot ko# carry on your learning dipo ako masyadong matalino pero kaya ko po kayung tulungan sa lahat nang question
4x3 = -5x - 21 solve for x
Answers
To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:
1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:
4x3 + 5x = -21
2. Factor out x from the left-hand side of the equation:
x(4x2 + 5) = -21
3. Divide both sides by (4x2 + 5):
x = -21 / (4x2 + 5)
So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.
Divide the following numbers. 4,084 / 1,016
Answers
The answer is 4 while rounding. If you need the exact answer, it is 4.019685039370
A rectangle's length is 6 feet shorter than twice its width. If we use w to represent the rectangle's width, use a polynomial to represent the rectangle's area in expanded form.
Answers
9514 1404 393
Answer:
area = 2w² -6w
Step-by-step explanation:
For width w, the length is ...
L = 2w -6
and the area is ...
A = LW = (2w -6)(w) = 2w² -6w . . . area of the rectangle
A community college employs 87 full-time faculty members. To gain the faculty's opinions about an upcoming building project, the college president wishes to obtain a simple random sample that will consist of 9 faculty members. He numbers the faculty from 1 to 87
Using the provided random number table, the president closes his eyes and drops his ink pen on the table. It points to the digit in row 3, column 6. Using this position as the starting point and proceeding downward, determine the numbers for the 9 faculty members who will be included in the sample.
The numbers for the faculty members are
enter your response here.
(Use a comma to separate answers as needed.)
Answers
4, 1, 1, 4, 7, 9, 2, 6, 4, 7, 4, 1, 0, 3, 0, 5, 0, 7, 1, 1, 6, 5, 4, 9 are the numbers that would make up the sample.
The parameters are as follows: 3 rows and 6 columns.
How can the number that will be in the sample be determined?A simple random sample is a subset of individuals chosen at random from a larger set of individuals, all with the same probability.
Such sampling is typically done "without replacement" in small and often large populations, i.e., no member of the population is chosen more than once. Although simple random sampling with replacement is possible, it is less common and is usually described more fully as simple random sampling with replacement.
The entries in row 3 of the attached figure are as follows: 4, 1, 1, 4, 7, 9, 2, 6, 4, 7, 4, 4, 1, 0, 3, 0, 5, 0, 7. 1
The entries in column 6 of the attached figure are: 1, 6, 9, 5, 4, 9.
Consequently, the sample would contain the following numbers: 4, 1, 1, 4, 7,9, 2, 6, 4, 7, 4, 4, 1, 0, 3, 0, 5, 0, 7, 1, 1, 6, 5, 4, 9
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Given a polyhedron has 6 vertices and 10 edges. How many faces does the polyhedron have.
Answers
According to the Euler's formula:
\(F+V-E=2\)Where
\(\begin{gathered} F=\text{ the number of faces} \\ V=\text{ the number of vertices} \\ E=\text{ the number of edges} \end{gathered}\)In this case,
\(\begin{gathered} V=6 \\ E=10 \end{gathered}\)Substituting V = 6 and E = 10 into Euler's formula, it follows that:
\(\begin{gathered} F+6-10=2 \\ F-4=2 \\ F=2+4=6 \end{gathered}\)Therefore, the polyhedron has 6 faces.
.
The thermostat for a house is set to 70°F, but the actual temperature may vary by as much as 4°F. Use an
absolute value inequality to find the range of possible temperatures in the house.
The range of possible temperatures in the house (in degrees Fahrenheit)
Answers
Answer:
Step-by-step explanation:
74’F
Answer:
The range of possible temperatures in the house (in degrees Fahrenheit) is 60° F ≤ T ≤ 74°F
Step-by-step explanation:
To Find:
The range of possible temperatures in the house
Solution:
Given:
Thermostat is set to 70 °
Also actual temperature may by a much of 4°
If the temperature is 4°F lower, and actual temperature = 70°- 4° = 66° F
If the temperature is 4°F higher, actual temperature = 70°+4° = 74°
Therefore, The range of possible temperatures in the house (in degrees Fahrenheit) is 60° F ≤ T ≤ 74°F
I need help on this one to sorry
Answers
Answer:
250 and 250.1
Answer:
250.1
Step-by-step explanation:
5002 divided by 20 equals 250.1
PLS HELP PICTURE HERE AS WELL
Answers
Answers:
1. -2y^3+9y-3y-16
2. 14x^3-23x^2+19x-24
Hi!
I'm really sorry but I'm not sure how to solve these equations however I have searched online and this is what it has said. I hope it is what you are looking for! I have attached screenshots of the working out above in order of each question. You may want to double check but the first two are for the first question and second two are for the second question.
PQRSTU is plotted on a coordinate plane with vertices p(-1,0) Q(-1,3) R(1,4) S(2,5) T(4,4) and U(4,0) what is the hexagons area
Answers
First, we can find the length and width of the rectangle by finding the distance between points R and T, and between points Q and U, respectively.
Length of the rectangle RT = sqrt((4-1)^2 + (4-5)^2) = sqrt(10)
Width of the rectangle QU = sqrt((4-(-1))^2 + (0-3)^2) = sqrt(50)
The area of the rectangle is then:
Area of rectangle = Length x Width = sqrt(10) x sqrt(50) = 10sqrt(2)
To find the area of the two triangles, we can use the formula for the area of a triangle:
Area of triangle = 1/2 x Base x Height
Triangle 1 has base PQ, which has length 3, and height 1, which is the distance between PQ and RS. The area of triangle 1 is:
Area of triangle 1 = 1/2 x 3 x 1 = 3/2
Triangle 2 has base RS, which has length sqrt((4-1)^2 + (5-4)^2) = sqrt(10), and height 1, which is the distance between PQ and RS. The area of triangle 2 is:
Area of triangle 2 = 1/2 x sqrt(10) x 1 = sqrt(10)/2
Therefore, the total area of the hexagon is:
Area of hexagon = Area of rectangle + Area of triangle 1 + Area of triangle 2
= 10sqrt(2) + 3/2 + sqrt(10)/2
= 10sqrt(2) + (3+sqrt(10))/2
So the area of the hexagon is approximately 19.55 square units.
What is the component form and magnitude of the
vector shown?
A. <7,-3) and 23°
B. (-7,3) and 23°
C.(7.-3) and 157°
D.(-7,3) and 157°
Answers
Answer:
<-7,3> and 157°
Step-by-step explanation:
Trust fam
Answer:
D.
Step-by-step explanation:
edg 21