Answer:
23.9 mm
Step-by-step explanation:
A cube can be unfolded into the net shown below. Find the total
surface area of the cube.
23.9 mm
bob and carol do a job together in 2 hours. bob can do the job in 6 hours by himself. how long would it take carol by herself? group of answer choices
Carol can do the same work in 3 hours as it is did by bob
What is Arithmetic equation?
The area of mathematics known as arithmetic deals with the study of numbers and the numerous operations that can be performed on them.
Addition, subtraction, multiplication, and division are the fundamental mathematical operations.
The process of adding two or more numbers together is called addition.The method of subtraction is used to take things out of the initial group.Multiplication is the process of repeatedly adding the same integer.An object or group is divided into smaller pieces or groups when it is large. .bob + carol = 2 hours
bob = 6 hours
L.C.M of both equation is 6
∴efficiency of bob + carol is 3
∴efficiency bob is 1
Then, 3 - 1 = 2
total work ÷ 2
6 ÷ 2 = 3
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What is 2/5+2/3 in reduced from?
Answer:
\(1\frac{1}{15}\) in reduced form.
Step-by-step explanation:
\(\frac{2}{5} +\frac{2}{3}\)
\(\frac{3*2+2*5}{5*3}\)
\(\frac{6+10}{15}\)
\(\frac{16}{15}\)
\(1\frac{1}{15}\)
Answer:
\(1\frac{1}{15}\)
Step-by-step explanation:
\(\frac{2}{5} + \frac{2}{3}\\\\\frac{2*3}{5*3} + \frac{2*5}{3*5}\\\\\frac{6}{15} + \frac{10}{15}\\\\\frac{6+10}{15}\\\\\frac{16}{15}=1\frac{1}{15}\)
Your answer is: \(1\frac{1}{15}\)
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
Shanti packs 4689 jelly beans equally into 15 bags and there are some jelly beans left. How many jelly beans are there left?
Answer:
hi !!
Step-by-step explanation:
you have to do an Euclidean division :
4689/15 = 312
the quotient is 312 so there will be 312 jelly beans per bags . The rest is 9 so there are 9 jelly beans left
a street light is at the top of a pole that has a height of 15 ft . a woman 4 ft tall walks away from the pole with a speed of 7 ft/s along a straight path. how fast is the tip of her shadow moving away from the pole when she is 22 ft from the base of the pole? (leave your answer as an exact number.)
The tip of the woman's shadow is moving away from the pole when she is 22 ft from the base of the pole is 105/11 feet per second.
Given that :
A street light is at the top of a pole that has a height of 15 ft.
Height of the pole = 15 feet
Height of the woman = 4 feet
The speed at that the woman walks = 7 feet per second.
Let x be the distance of the woman from the pole and y be the distance from the shadow tip of the woman to the pole.
We get two similar triangles.
Using the similarity rule :
(y - x) / y = 4 / 15
15(y - x) = 4y
15y- 15x = 4y
11y = 15x
y = 15/11 x
Differentiating on both sides :
dy/dt = 15/11 dx/dt
= (15/11) (7)
= 105/11 feet per second.
Hence the shadow is moving at a rate of 105/11 feet per second.
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62)
4.4 in
3.7 in
10.8 in
Find crea
C
The area of the given parallelogram is 40 square inches.
The given figure is a parallelogram.
The formula for area of parallelogram is base times of height.
Area=base×height
From the figure base is 10.8 in and height is 3.7 in.
Area= 10.8×3.7
Ten point eight times of three point seven is equal to thirty nine point nine six.
=39.96
=40 square inches.
Hence, the area of the given parallelogram is 40 square inches.
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A firm reported salaries expense of $247000 for the current yea. The beginning and ending balances in salaries payable were $38000 and: $13,000, respectively. What was the artount of cash paid for salaries? $247,000 $222,000 $298,000 $272,000
The amount of cash paid for salaries is equal to the reported salaries expense for the current year, which is $247,000.
Salaries payable represents the amount of salaries owed by the company to its employees at a specific point in time. The change in the balances of salaries payable throughout the year reflects the cash payments made for salaries. In this case, the beginning balance in salaries payable was $38,000, and the ending balance was $13,000. The decrease in the salaries payable balance indicates that the company made cash payments to employees to settle their salaries. The difference between the beginning and ending balances, $38,000 - $13,000 = $25,000, represents the amount of cash paid for salaries during the year.
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The difference between what consumers are willing to pay for units of the good and the price consumers actually pay for units of the good is called A) marginal utility B) producer surplus C) consumer surplus D) economic rent E) a positive externality
The difference between what consumers are willing to pay for units of the good and the price consumers actually pay for units of the good is called consumer surplus.
Thus, option (C) is correct.
Consumer surplus refers to the difference between the maximum price a consumer is willing to pay for a product or service and the actual price they pay.
Consumer surplus is derived from the concept of the demand curve in economics. The demand curve represents the relationship between the price of a good and the quantity consumers are willing to purchase at that price.
Therefore, the difference between what consumers are willing to pay and actually pay for units is called consumer surplus.
Thus, option (C) is correct.
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If LM = 4x, MN = x + 1, and LN = 6, what is MN?
L
4x
Submit
6
M
x + 1
N
Simplify your answer and write it as a proper fraction, mixed number, or integer
The value of the MN is 2 according to the assumption on the number line.
According to the statement
We have to find that the value of the MN with the help of the value of the x.
So, For this purpose, we know that the
A number line is a horizontal line that has equally spread number increments.
Now,
Assuming that L, M, and N are points on a number line with L < M < N,
According to the assumption, the equation become
4x + x+1 = 6
5x +1 =6
5x =5
x = 1.
Now, the value of the MN become:
MN = x + 1
MN = 1 + 1
MN = 2.
So, The value of the MN is 2 according to the assumption on the number line.
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Based on the information given, compute yearly total dividends as well as dividends per share paid to common and preferred stockholders. There are 5,000 shares of $50 par value preferred stock outstanding, and 25,000 shares of common stock outstanding. Preferred stock has an 8 percent guaranteed rate of return. Dividends are declared of $1. 25 per share of common stock, together with the guaranteed rate for preferred stock. Common Stock: $
Preferred Stock: $
1. Yearly total dividends paid are $151,250.
2. The dividends per share are $1.25 for common stockholders
3. The dividends per share are $4 for preferred stockholders.
What are yearly total dividends and dividends per share?We must calculate amount of dividends paid to the preferred stockholders in order to get dividends per share for common and preferred stockholders.
The per dividends paid to the preferred stockholders is:
= $50 par value x 8% guaranteed rate of return
= $4 per share
The total dividends paid to preferred stockholders:
= $4 per share x 5,000 shares
= $20,000
The per dividends paid to those stockholder is calculated as:
= Common stock + Preferred stock
= $1.25 per share + $4 per share
= $5.25 per share
The total dividends paid to common stockholders:
= $5.25 per share x 25,000 shares
= $131,250.
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6 rational numbers between -2/3 and 1/2
Answer:
-0.5, -0.4,-0.3,-0.2,-0.1 and 0.1
Step-by-step explanation:
We have to calculate 6 rational number between -2/3 and 1/2
So,
\(\frac{-2}{3} =-0.6\\\frac{1}{2} =0.5\)
Now,
Rational numbers between -2/3 and 1/2 will be -0.5, -0.4,-0.3,-0.2,-0.1 and 0.1
what is the greatest 5 digit number which when divided by 2, 3, 4, and 5 leaves a remainder of 1 in each case
Answer:99904.
Step-by-step explanation:
Find the LCM of
5
10 = 2x5
15 = 3x5
20 = 2x2x5
25 = 5x5
LCM = 2x2x3x5x5 = 300
Take the smallest 5-digit number: 10000 and divide it by 300 to get 33.33. Round it off to 34 and multiply it by 300 to get 10200. Finally add 4 to 10200 to get 10204 which is the smallest final 5-digit number.
Check: 10204/5 = 2040 as quotient and a remainder of 4. Correct.
10204/10 = 1020 as quotient and a remainder of 4. Correct.
10204/15 = 680 as quotient and a remainder of 4. Correct.
10204/20 = 510 as quotient and a remainder of 4. Correct.
10204/25 = 408 as quotient and a remainder of 4. Correct.
Answer: 10204.
To get the greatest 5-digit number take 99999 and divide it by 300 to get 333.33. Round it off to 333 and multiply it by 300 to get 99900. Finally add 4 to 99900 to get 99904 which is the final greatest 5-digit number.
Check: 99904/5 = 19980 as quotient and a remainder of 4. Correct.
99904/10 = 9990 as quotient and a remainder of 4. Correct.
99904/15 = 6660 as quotient and a remainder of 4. Correct.
99904/20 = 4995 as quotient and a remainder of 4. Correct.
99904/25 = 3996 as quotient and a remainder of 4. Correct.
Answer: 99904.
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Step-by-step explanation:
B the median is less than the mean
what’s the answer for 18, tysm
Pair 1: 48º and 48º
48 + 48 + 84 = 180
Pair 2: 84º and 12º
84 + 12 + 84 = 180
find the domain of {(-7,-1),(-4,2),(0,5),(4,-1)}
The domain of the given set of points is {-7, -4, 0, 4}.
We have,
To find the domain of a set of points, we need to determine the set of all x-values or the set of all possible inputs in the given set of points.
Given the set of points: {(-7,-1), (-4,2), (0,5), (4,-1)}
The domain of these points is the set of all x-values or the set of first coordinates in each point.
So,
Domain = {-7, -4, 0, 4}
Therefore,
The domain of the given set of points is {-7, -4, 0, 4}.
This represents the set of all possible x-values in the given set of points.
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Below is a diagram of Hillcrest High School. The english and math buildings are congruent rectangles. The art building is a square. The total perimeter of Hillcrest High school’s building is 1,718 feet. Find the value of x. Find the missing perimeters for the buildings.
1. Find the value of x.
2. Find the missing perimeters for the buildings.
3. What is the area of the English building? (plug in your x value!)
Answer/Step-by-step explanation:
1. Perimeter of the building = sum of all the length of the outer borders surrounding the building = 1,718 ft
Thus:
4x - 6 + 2x + 3x + 2(3x + 4) + 3x + 2x + x + x + x + 2x + 4x - 6 + 2(3x + 4) + 4x - 6 + 3x = 1,718
Open the Parentheses
4x - 6 + 2x + 3x + 6x + 8 + 3x + 2x + x + x + x + 2x + 4x - 6 + 6x + 8 + 4x - 6 + 3x = 1,718
Combine like terms
42x - 2 = 1,718
42x = 1,718 + 2
42x = 1,720
x ≈ 41
2. Missing perimeter of Building = 2x + 2x + 4x - 6
Simplify
= 8x - 6
Plug in the value of x
= 8(41) - 6
= 322 ft
3. Area of English Building = length * width
= (4x - 6 + 2x)(3x)
Simplify
= (6x - 6)(3x)
Plug in the value of x
= (6(41) - 6)(3(41))
= (246 - 6)(123)
= (240)(123)
= 29,520 ft²
what's the value of x
Answer:
x = 122°
Step-by-step explanation:
There is remote angle( non- adjecent angle) and their sum equal to the exterior angle .
Exterior angle is an angle formed from one side of the polygone and the extended side so
<A and <B are remot angle and <BCD is exterior angle .
And we write the equetion as
<A + <B = <BCD
58° + 64° = x°
122° = X°
so the exterior angle ( x ) measures 122° .
the question is in the picture please help please.
Answer:
3.85inches
Step-by-step explanation:
7*0.55 or 3.85 inches
Hope this helps :D
Merry Christmas!
Answer:
3.85inches
Step-by-step explanation:
7*0.55 or 3.85 inches
Hope this helps ;D
Select the correct answer.
A soccer team wins 65% of its matches, and 15% of its matches end in a draw. If the team is scheduled to play 20 matches, about how many
matches is it expected to lose?
OA 13
O.B. 4
OC 8
OD. 1
Answer:
4 is the answer
Step-by-step explanation:
they lost 4matches
Answer:
4
Step-by-step explanation:
65% add 15% is 80%
Therefore they lose 20%
20% of 20:
20 divided by 10 is 2
2 multiplied by 2 is 4
or
20 divided by 5 is 4
Without Graphing, identify the Vertex, axis of symmetry,
and transformations from the parent function f(x) = [xl.
y= 2 | X+21-3
Answer:
Step-by-step explanation:
Parent function has been given as,
f(x) = |x|
Vertex → (0, 0)
Line of symmetry → x = 0
After transformation, image function is,
g(x) = 2|x + 2| - 3
Transformation shows that the function 'f' is vertically stretched by a scale factor of 2, followed by shifting of 2 units to the left and 3 units down.
Therefore, vertex of the transformed function will be shifted by 2 units left and 3 units down.
Vertex → (-2, -3)
Line of symmetry will be shifted by 2 units left.
Therefore, Line of symmetry → x = -2
Sam wants to earn at least a B in Math. He earned the following scores on tests so far: 82%, 70%, 72%, and 80%.
Which inequality below can be used to solve and determine what Sam needs to earn on the final exam in order to have at least a B-average in the class?
Answer:
Sam has to get at least a 96 in order to pass the class with a B.
Step-by-step explanation:
To find this you use mean in this format:
Test Scores + x (Exam Grade Needed) / # of Tests ≥ 80 (Which Is a B)
Substitute:
82 + 70 + 72 + 80 + x / 5 ≥ 80
Add:
304 + x / 5 ≥ 80
Get Rid of the Denominator (Multiply Both Sides By 5):
(5) 304 + x / 5 ≥ 80 (5)
Multiply:
304 + x ≥ 400
Isolate x (Subtract 304 From Both Sides):
x ≥ 96
This means that Sam has to get at least (Greater than or equal to) a 96 in order to pass with a B average.
Tell whether the given rational expression is proper or improper If improper rewrite it as the sum of a polynomial and a proper rational expression
7x² +8x-2/x²-25
Select the correct choice below and, if necessary fill in the answer box to complete your choice
A. The expression is improper 7x² +8x-2/x²-25 =
B. The expression is proper
The given rational expression is improper because the degree of the numerator is greater than or equal to the degree of the denominator.
A rational expression is considered proper when the degree of the numerator is less than the degree of the denominator. In this case, the numerator of the expression is a polynomial of degree 2 (7x² + 8x - 2), and the denominator is a polynomial of degree 2 (x² - 25).
Since the degree of the numerator is equal to the degree of the denominator, the given rational expression is improper.
To rewrite the improper expression as the sum of a polynomial and a proper rational expression, we can perform polynomial division. Dividing the numerator (7x² + 8x - 2) by the denominator (x² - 25), we can obtain a polynomial quotient and a proper rational expression. However, without specifying the desired form of the rewritten expression, I am unable to provide the exact answer.
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This is a new version of the question. Make sure you start new workings.
A farmer wants to build a fence around the edge of a field shaped like a right-
angled triangle, as shown below. The fence costs £1.28 per metre.
Calculate the total cost of the fence.
Give your answer to the nearest pound.
The total length of the fence is 24 meters. Then the total cost of the fence will be £30.72.
Given that:
Rate, r = £1.28 per metre
The length of the fence is calculated as,
P = 10 + 6 + 8
P = 24 meters
Then the total cost of the fence will be calculated as,
Total cost = P x r
Total cost = 24 x £1.28
Total cost = £30.72
The total length of the fence is 24 meters. Then the total cost of the fence will be £30.72.
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The missing diagram is given below.
Determine the exponential regression equation and the value of the correlation coefficient, r . Then graph the equation on the grid with the scatter plot. Predict the number of U.S. Post Offices in the year 2050. Predict when the number of U.S. Post Offices will reach 20,000. What do you think is causing the decline in the number of U.S. Post Offices?
The way to determine the exponential regression equation and the value of the correlation coefficient, r, is given below.
What are the steps?Step 1: Collect your data
Gather the data for the variables you want to analyze.
Step 2: Plot the data on a graph
Create a scatter plot of the data to see if there is any relationship between the variables. If the data appears to have an exponential relationship, then an exponential regression analysis may be appropriate.
Step 3: Use logarithmic transformation
To create a linear relationship between the variables, take the natural logarithm of both the x and y variables.
Step 4: Calculate the regression equation
Use linear regression techniques to find the equation of the line that best fits the transformed data. The equation will be in the form of y = a + bx.
Step 5: Convert back to exponential form
Convert the equation back to its exponential form by taking the exponential function of both sides of the equation. The equation will now be in the form of y = Ae^(bx).
Step 6: Calculate the correlation coefficient
Calculate the correlation coefficient, r, between the original x and y variables. This will tell you the strength and direction of the relationship between the variables.
An overview is given as your information is incomplete.
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a poll of 350 americans was used to estimate that 54% /- 4.382% of american adults don't think that human beings developed from earlier species. what was the confidence level used for the margin of error?
The confidence level used for the margin of error was 95%.
The margin of error (MOE) is calculated by dividing the critical value (z*) of the confidence level by the square root of the sample size (n). For a 95% confidence level, the critical value (z*) is 1.96. MOE = 1.96 / sqrt(350) = 4.382% Therefore, the confidence level used for the margin of error was 95%. To calculate the margin of error, we must first determine the confidence level. For a 95% confidence level, the critical value (z*) is 1.96. The margin of error (MOE) is then calculated by dividing the critical value (z*) by the square root of the sample size (n). In this case, the MOE is 1.96 / sqrt(350) = 4.382%. This means that the confidence level used for the margin of error was 95%.
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Help me out! Find the value of x angle theorems part 3 triangle
Answer:
x = 3
Step-by-step explanation:
The triangles are similar.
x + 9 is twice 2x.
x + 9 = 2(2x)
x + 9 = 4x
9 = 3x
x = 3
Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the area of land mowed in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points?
Answer:
Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour Option (B)
Step-by-step explanation:Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour
I'm also stuck on this one! Help!
Answer:
a = 58
Step-by-step explanation:
90-32=58
HOPE THIS HELPS :)
Given the n™ term of a number sequence, write down the first three terms of the sequence..... n² - n
Given the n™ term of a number sequence, the first three terms of the sequence are 0, 2 and 6
How to write down the first three terms of the sequence.?The sequence is given as:
n^2 - n
To write down the first three terms of the sequence, we set n =1, 2 and 3
So, we have:
When n = 1
n^2 - n = 1^2 - 1
Evaluate
n^2 - n = 0
When n = 2
n^2 - n = 2^2 - 2
Evaluate
n^2 - n = 2
When n = 3
n^2 - n = 3^2 - 3
Evaluate
n^2 - n = 6
Hence, the first three terms of the sequence are 0, 2 and 6
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Write an Equation using the following arithmetic sequence: 24, 18, 12
Answer:
24-18=6+6+12
hope this helps you!!
Step-by-step explanation:
the graph below models the cost for installing a fence based on the length of the fence. Use the graph to awnser the following willA) find the slope of the graph B) what are the units of the slopeC) write a linear equation in slope intercept form for the total cost C in dollars of installing a fence if the length of your fence is F feet long
a. To find the slope of the graph take 2 ordered pairs and replace its values in the following equation:
\(m=\frac{y2-y1}{x2-x1}\)For example, choose (0,150) and (5,225):
\(m=\frac{225-150}{5-0}=\frac{75}{5}=15\)The slope of the graph is 15.
b. The units of the slope (since it is a rate of change) are dollars per feet.
c. We already have the slope of the graph and its y intercept which is (0,150). Use this information to find the slope intercept form equation for the situation:
\(C=15F+150\)