Answer:
n = 2
Step-by-step explanation:
Since ∆A is similar to ∆B, therefore, the ratio of their corresponding sides would be equal.
Thus:
\( \frac{10}{n + 2} = \frac{6}{3} \)
\( \frac{10}{n + 2} = 2 \)
Multiply both sides by (n + 2)
\( \frac{10}{n + 2}(n + 2) = 2(n + 2) \)
\( 10 = 2n + 4 \)
Subtract 4 from each side
\( 10 - 4 = 2n + 4 - 4 \)
\( 6 = 2n \)
Divide both sides by 2
\( \frac{6}{2} = \frac{2n}{2} \)
\( 3 = n \)
n = 2
What type of arc is AB
I'm sorry I don't know the answer but I do have to say that you are loved and no matter how many mistakes you make you will still always be loved. Step-by-step explanation:
Answer:
B. A minor arc
Step-by-step explanation:
Trust me bro
(Practice test) algebra 2 What is the period of the function. Please help I don’t understand this
A.4pi
B.2pi
C.pi
D.pi/2
Answer:
2π
Step-by-step explanation:
period is the distance between maximum to maximum or minimum to minimum.
π/3 - - 5π/3
= 2π
here the period is 2π
// appreciate it if u mark this as brainliest and change the questioning heading or u gonna get reported lols//
Use a calculator to determine the value of tan(s) to the thousandths place (3 decimal places).
Since they are similar triangles then their corresponding angles are equal. So, you have
\(\begin{gathered} m\angle K=m\angle R \\ m\angle J=m\angle S \\ m\angle L=m\angle Q \end{gathered}\)Therefore, the value of tan(S) to the thousandths place will be
\(\begin{gathered} \tan (S)=\tan (25\text{\degree}) \\ \tan (S)=0.466 \end{gathered}\)Zak and Sara work for a company that sells boxes of pet food.
The company wants to have a special offer.
Here is Zak's idea for the special offer.
Put 50% more pet food into each box and do not change the price.
Here is Sara's idea.
Reduce the price and do not change the amount of pet food in each box.
Sa wants her idea to give the same value for money as Zak's idea.
By what percentage does she need to reduce the price?
Sara needs to reduce the price by approximately 33.33% to provide the same value for money as Zak's idea.
To find the percentage by which Sara needs to reduce the price to provide the same value for money as Zak's idea, we need to compare the original price and the new price under Zak's idea.
Let's assume the original price of a box of pet food is P and the original amount of pet food in each box is A.
According to Zak's idea, the company will put 50% more pet food into each box without changing the price. Therefore, the new amount of pet food in each box will be 1.5A.
To calculate the value for money under Zak's idea, we divide the amount of pet food by the price:
Value for money (Zak's idea) = (1.5A) / P
Now, let's consider Sara's idea. She wants to reduce the price but keep the amount of pet food unchanged. Let's assume Sara reduces the price by a percentage represented by x.
Under Sara's idea, the new price of a box of pet food will be P - (x/100)P = P(1 - x/100).
Since Sara wants her idea to provide the same value for money as Zak's idea, we can equate the two value for money expressions:
(1.5A) / P = (A) / (P(1 - x/100))
Cross-multiplying and simplifying the equation:
1.5A * P(1 - x/100) = A * P
1.5(1 - x/100) = 1
Simplifying further:
1 - x/100 = 2/3
-x/100 = -1/3
x/100 = 1/3
x = 100/3
Therefore, Sara needs to reduce the price by approximately 33.33% to provide the same value for money as Zak's idea.
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If cos theta =12/13.find 1+cot theta
Answer:
17/5
Step-by-step explanation:
If cosθ = 12/13, find (1+cotθ)
As shown in the diagram attached,
Cotθ = 1/tanθ = adjacent/opposite
From the diagram attached,
cotθ = 12/a................... Equation 1
But we can find the value of a by using pythagoras theorem
13² = 12²+a²
169 = 144+a²
a² = 169-144
a² = 25
a = √25
a = 5.
Substitute the value of a into equation 1
Therefore,
cotθ = 12/5
(1+cotθ) =(12/5)+1 = (5+12)/5
(1+cotθ) = 17/5
if three people are with 16 sweet how many would 5 be with
Order the values from least (on top) to greatest (on bottom).
64%
0.65
5/8
Convert them all into decimals. Percent is just 0.--, and the fraction you can calculate out which gives: 0.625=5/8,0.64=64%
5/8
64%
0.65
Solve 169x^2-42.25=0 by using square roots?
NEED HELP!!!
Answer:
x = 1/2 , x = -1/2
Step-by-step explanation:
Given equation;
169x² - 42.25
Find:
Solution of equation using square root
Computation:
169x² - 42.25
We know that 13² = 169 and 6.5² = 42.25
So,
[13x]² - [6.5]²
a² - b² = (a + b)(a - b)
So,
[13x]² - [6.5]² = [13x + 6.5][13x - 6.5]
So,
13x + 6.5 = 0 , 13x - 6.5 = 0
x = 6.5 / 13 , x = -6.5 / 13
x = 1/2 , x = -1/2
whats the degree of the polynomial 5a-2b^2+1
Answer:
hope it helps..
Step-by-step explanation:
PLEASE THANK MY ANSWER
Which decimal number is NOT between the two decimal numbers on the
number line?
6.
0.542
0.611
A
0.54
B
0.6
с
0.604
Answer:
A, .54
Step-by-step explanation:
The number line ranges from .542 up until .611, giving you three options below. For .6, it can be translated into .600 which is in bounds of the number line. Next for .604, it is still in bounds of the number line. For .54 it would be translated to .540 which is not in bounds, being before .542.
What is the addititve inverse of 63
Answer:
It is -63
Step-by-step explanation:
What you add to a number to get zero. The negative of a number.
Han make sparkling juice by mixing 1. 5 liter of juice and 500 milliliter of sparkling water
Han will have 2 liters (or 2000 milliliters) of sparkling juice after combining 1.5 liters of juice and 500 milliliters of sparkling water.
To make sparkling juice, Han mixes 1.5 liters of juice and 500 milliliters of sparkling water.
To add the quantities together, we need to convert the units to the same measurement. We can convert the liters to milliliters since 1 liter is equal to 1000 milliliters.
1.5 liters is equal to 1.5 x 1000 = 1500 milliliters.
Now we have 1500 milliliters of juice and 500 milliliters of sparkling water.
To find the total quantity of the sparkling juice, we add the volumes of juice and sparkling water together:
1500 milliliters + 500 milliliters = 2000 milliliters
Therefore, Han will have a total of 2000 milliliters (or 2 liters) of sparkling juice by mixing 1.5 liters of juice and 500 milliliters of sparkling water.
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A bag contains 10 red marbles and 5 blue marbles. What is the probability of choosing 2 red marbles without replacing the first?
Answer:
i think 5 percent but dont trust me xDDD
Step-by-step explanation:
Find the equation of the line passing through the points (8, -16) and (1, 5).
\((\stackrel{x_1}{8}~,~\stackrel{y_1}{-16})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{5}-\stackrel{y1}{(-16)}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{8}}} \implies \cfrac{5 +16}{-7} \implies \cfrac{ 21 }{ -7 } \implies - 3\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-16)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{8}) \implies y +16 = - 3 ( x -8) \\\\\\ y+16=-3x+24\implies {\Large \begin{array}{llll} y=-3x+8 \end{array}}\)
In September 2016, the cost of gasoline in Berlin was around 1.3 euros per liter.
What would the equivalent cost be in U.S. dollars per gallon?
1 U.S. dollar ~ 0.876 euros
1 gallon 3.785 liters
Answer:
5.617 dollars per gallon.
Step-by-step explanation:
From the question given above, the following data were obtained:
1 US = 0.876 euros
1 gallon = 3.785 L
The cost of gasoline in Berlin was = 1.3 euros per liter.
The Cost in U.S. dollars per gallon =?
Next, we shall convert 1.3 euros per liter to dollar per litre. This can be obtained as follow:
0.876 euros per liter = 1 dollar per liter
Therefore,
1.3 euros per liter = 1.3/0.876
1.3 euros per liter = 1.484 dollar per liter
Therefore, 1.3 euros per liter is equivalent to 1.484 dollar per liter.
Finally, we shall convert 1.484 dollar per liter to dollar per gallon.
This can be obtained as follow:
1 dollar per liter = 3.785 dollar per gallon
Therefore,
1.484 dollar per liter = 1.484 × 3.785
1.484 dollar per liter = 5.617 dollars per gallon
Therefore, 1.3 euros per liter is equivalent to 5.617 dollars per gallon.
The equivalent cost be in U.S. dollars per gallon is 5.617 dollars per gallon.
The calculation is as follows:1 US = 0.876 euros
1 gallon = 3.785 L
The cost of gasoline in Berlin was = 1.3 euros per liter.
Now
0.876 euros per liter = 1 dollar per liter
So.
1.3 euros per liter\(= 1.3\div 0.876\)
= 1.484 dollar per liter
Now
1 dollar per liter = 3.785 dollar per gallon
So,
1.484 dollar per liter =\(1.484 \times 3.785\)
= 5.617 dollars per gallon
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Find the value of (f o g)' at the given value.
To find the value of (f o g)' at a given value, you first need to understand the concept of composite functions and the chain rule of differentiation. Let's break it down step by step.
To find the value of (f o g)' at a given value, you need to evaluate g(x) and f(x), find their derivatives, and use the chain rule to find the derivative of (f o g) at the given value. It is important to understand the concepts of composite functions and the chain rule to be able to solve problems involving these concepts.
What are composite functions? Composite functions are functions that are formed by composing two or more functions. The notation used to denote composite functions is (f o g)(x), which means that the output of function g is used as the input for function f. In other words, we first evaluate g(x), and then use the result as the input for f(x).
What is the chain rule of differentiation? The chain rule of differentiation is a method used to find the derivative of composite functions. It states that if a function is composed of two or more functions, then its derivative can be found by taking the derivative of the outer function and multiplying it by the derivative of the inner function.
To find the value of (f o g)' at a given value, we need to follow these steps:1. Find g(x) and f(x)2. Find g'(x) and f'(x)3. Evaluate g(x) at the given value4. Use the chain rule to find (f o g)' at the given value
step 1: Find g(x) and f(x)Let's say that we have two functions: g(x) = x^2 + 3x + 1 and f(x) = sqrt(x). To find (f o g)(x), we first need to evaluate g(x) and then use the result as the input for f(x). Therefore, (f o g)(x) = f(g(x)) = sqrt(x^2 + 3x + 1)
Step 2: Find g'(x) and f'(x)To find g'(x), we need to take the derivative of g(x) using the power rule and the sum rule. Therefore, g'(x) = 2x + 3To find f'(x), we need to take the derivative of f(x) using the power rule and the chain rule. Therefore, f'(x) = 1/2(x)^(-1/2)
Step 3: Evaluate g(x) at the given valueSuppose we want to find (f o g)' at x = 2. To do this, we need to first evaluate g(x) at x = 2. Therefore, g(2) = 2^2 + 3(2) + 1 = 11
Step 4: Use the chain rule to find (f o g)' at the given value now we can use the chain rule to find (f o g)' at x = 2. Therefore, (f o g)'(2) = f'(g(2)) * g'(2) = 1/2(11)^(-1/2) * (2)(3) = 3/sqrt(11)
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Please help I need this done by tonight!!
Answer:
answer is 10
Step-by-step explanation:
(4x+12)+(4x+12)+(5x+26)=180[sum of isosceles triangles]
8x+34+5x+26=180
X=10
The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 51.6% of their carbon-14. How old were the bones at the time they were discovered?
Accοrding tο the expοnential decay mοdel, the bοnes were apprοximately 6020 years οld at the time they were discοvered.
What is expοnential Decay?The general fοrmula fοr expοnential decay is:
N = N₀
\(\mathrm{e^{-kt}}\)
where:
N is the amοunt οf the substance remaining after time t
N₀ is the initial amοunt οf the substance
k is the decay cοnstant
t is time
The decay οf carbοn-14 fοllοws an expοnential decay mοdel. The half-life οf carbοn-14 is 5750 years, which means that the decay cοnstant is:
k = ln(2) / half-life
k = ln(2) / 5750
k ≈ 0.000120968
Let N₀ be the initial amοunt οf carbοn-14 in the bοnes, and let N be the amοunt οf carbοn-14 remaining after the bοnes have lοst 51.6% οf their carbοn-14. Then we have:
N/N₀ = 1 - 0.516
N/N₀ = 0.484
Taking the natural lοgarithm οf bοth sides, we get:
ln(N/N₀) = ln(0.484)
Using the fοrmula fοr expοnential decay, we can express N/N₀ in terms οf the decay cοnstant and time:
N/N₀ = \(\mathrm{e^{-kt}}\)
Substituting this intο the previοus equatiοn, we get:
ln(\(\mathrm{e^{-kt}}\)) = ln(0.484)
Simplifying, we get:
-kt = ln(0.484)
Sοlving fοr t, we get:
t = -ln(0.484) / k
Substituting the value οf k that we fοund earlier, we get:
t ≈ 6019.79 years
Therefοre, the bοnes were apprοximately 6020 years οld at the time they were discοvered.
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Last year Bobs market ordered 5 2/3 cups of strawberries for an event. This year they plan to order 6 1/2 times as many strawberries as they did last year as well as 1/6 of a cup of blueberries. Then they are going to mix the berries together and sell them in 6 ounce bags. How many complete bags can they sell if they use all the berries?
Since we cannot have a fraction of a bag, Bob's market can sell a total of 41 complete bags of mixed berries.
How to find How many complete bags can they sell if they use all the berriesLast year, Bob's market ordered 5 2/3 cups of strawberries. This year, they plan to order 6 1/2 times as many strawberries as last year.
Therefore, the quantity of strawberries this year is:
Strawberries = 5 2/3 cups * 6 1/2 = (17/3) cups * (13/2) = (221/6) cups.
They also plan to order 1/6 of a cup of blueberries.
Total berries = Strawberries + Blueberries = (221/6) cups + (1/6) cups = (222/6) cups.
Since they want to sell the berries in 6-ounce bags, we need to convert the cup measurement to ounces.
1 cup = 8 ounces.
Total berries = (222/6) cups * 8 ounces/cup = (1488/6) ounces = 248 ounces.
Now, we can find the number of complete 6-ounce bags they can sell:
Number of bags = Total ounces / 6 ounces = 248 ounces / 6 ounces = 41.3333.
Since we cannot have a fraction of a bag, Bob's market can sell a total of 41 complete bags of mixed berries.
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Solve for m/CDF.
E
66°
D
с
Answer:
∠CDF = 48°
Step-by-step explanation:
∠CDE = ∠EDF + ∠CDF
Given that,
∠CDE = 114°
∠EDF = 66°
So, to find the value of ∠CDF, you have to subtract the value of ∠EDF from ∠CDE.
∠CDF = ∠CDE - ∠EDF
∠CDF = 114 - 66
∠CDF = 48°
1) Kelly has 15 blue bracelets and 12 green bracelets. What is the ratio of Kelly’s blue bracelets to green bracelets?
2) Over the winter it snowed 36 days out of 40 days. What is the snow days to days ratio in simple form?
3) The ratio of girls to boys who participated in the quiz bowl was 7:5. There were 42 girls in the competition. How many boys participated?
1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.
2)The snow days to days ratio is 20:1
3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.
Define ratio?A ratio is a ratio that compares two quantities.A proportion is the difference between two ratios. To write a ratio, do the following: Determine whether the ratio is a part-to-part or a part-to-whole ratio. If necessary, compute the parts and total.The ratio is defined as the division of two numbers or quantities. The ratio is a relationship between the quantities of two or more objects that indicates how much of one is contained in the other. The ratio formula can be used to convert a ratio into a fraction. a:b = a/b is the ratio formula for any two quantities, say a and b.To learn more about ratio refer to:
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1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.
2)The snow days to days ratio is 20:1
3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.
Define ratio?
A ratio is a ratio that compares two quantities.A proportion is the difference between two ratios.To write a ratio, do the following: Determine whether the ratio is a part-to-part or a part-to-whole ratio. If necessary, compute the parts and total.The ratio is defined as the division of two numbers or quantities.The ratio is a relationship between the quantities of two or more objects that indicates how much of one is contained in the other.The ratio formula can be used to convert a ratio into a fraction. a:b = a/b is the ratio formula for any two quantities, say a and b.To learn more about ratio refers to:
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Which of the following is true about the linear function 4x+2y=12
1.it has a slope of -2 and a y intercept of 6
2. It has a slope of -2 and a y intercept of 12
3 it has a slope of -1/2 and a y intercept of 6
4 it has a slope of -4 and a y intercept of 12
Answer:
i believe is 4
Step-by-step explanation:
If you 2y=-4x+12
need to get the Y by it self
What change do you have to make to the graph of f (x) = 7x in order to graph the function g (x) = 7x+10?
To graph the function g(x) = 7x + 10, we shift the graph of f(x) = 7x vertically by adding a constant term of +10. This means every y-coordinate on the graph increases by 10 units. The slope of the line remains the same at 7. The resulting graph is a straight line passing through (0, 10) with a slope of 7.
To graph the function g(x) = 7x + 10, you need to make the following change to the graph of f(x) = 7x:
1. Translation: The graph of f(x) = 7x can be shifted vertically by adding a constant term to the equation. In this case, the constant term is +10.
Here's how you can do it step by step:
1. Start with the graph of f(x) = 7x, which is a straight line passing through the origin (0,0) with a slope of 7.
2. To shift the graph vertically, add the constant term +10 to the equation. Now, the equation becomes g(x) = 7x + 10.
3. The constant term of +10 means that every y-coordinate of the points on the graph will increase by 10 units. For example, the point (0,0) on the original graph will shift to (0,10) on the new graph.
4. Similarly, if you take any other point on the original graph, such as (1,7), the corresponding point on the new graph will be (1,17) since you add 10 to the y-coordinate.
5. Keep in mind that the slope of the line remains the same, as only the y-values are affected. So, the new graph will still have a slope of 7.
By making this change, you will have successfully graphed the function g(x) = 7x + 10.
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given the equation x^{2} = 8y what are the coordinates of the focus
Answer:
Focus -> \((0,2)\)
Step-by-step explanation:
Because the x-term is squared, the parabola must be vertical.
Recall that the equation for a vertical parabola is \(4p(y-k)=(x-h)^2\) where \(p\) is the distance from the vertex \((h,k)\) to the focus and \((h,k+p)\) are the coordinates of the focus.
We can tell by the given equation that the vertex must be located at the origin.
Therefore, we can determine the value of \(p\) having known the vertex and the direction of the parabola:
\(4p(y-k)=(x-h)^2\)
\(4p(y-0)=(x-0)^2\)
\(4py=x^2\)
\(4py=8y\)
\(4p=8\)
\(p=2\)
So, given that \(p=2\), this means that the coordinates of the focus are \((0,2)\).
8.97 in word decimal form
Answer:
eight point ninety-seven
Step-by-step explanation:
hope this helped<3
Answer: Eight point ninety-seven or Eight and ninety-seven
Step-by-step explanation:
Eight (8)
point (decimal point)
ninety-seven (97)
Some teachers also like to say it like this:
Eight (8)
and (decimal point)
ninety-seven (97)
Hope this helps!
A wire is 71cm long . you wish to cut it into two pieces. One piece is bent into shape of triangle with legs of equal length .The piece is to be bent into shape of circle .
To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)
The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)
The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)
Solving for\(\(x\),\) we divide both sides of the equation by 3:
\(\(x = \frac{71}{3}\).\)
Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.
The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:
\(\(x = 2\pi r\).\)
Substituting the value of x we found earlier, we have:
\(\(\frac{71}{3} = 2\pi r\).\)
Solving for r, we divide both sides of the equation by \(\(2\pi\):\)
\(\(r = \frac{71}{6\pi}\).\)
Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.
In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.
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Identify the coefficients: -3h - 2h + 6h +9
Answer:
its -3h,-2h,6h
Step-by-step explanation:
hope i helped
The average body temperature of all healthy adults is 98.6 F. A doctor takes a random sample of 100 healthy adults and records the temperature of each. The average temperature of these 100 adults is 98.2 F and the standard deviation is 6.9 F. Identify the values of the statistic and the parameter(s).
Answer:
Explained below.
Step-by-step explanation:
A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.
The parameter of interest is the average body temperature of all healthy adults, μ = 98.6°F.While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.
A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.
The statistic is the average body temperature of 100 randoly selected healthy adults, \(\bar x=98.2^{o}F\).In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.
Answer: The percentage of people surveyed who liked blue cars is 50%.
Step-by-step explanation:
Total number of people partaking in survey= 36
number of people who like blue cars= 18
therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)
hence, percentage of people who liked blue cars= (18/36)*100 %
= 50%
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Answer:
Percentage of people who like blue-coloured cars is 50%
Number of people who were surveyed=36
Number of people who like blue-colored cars=18
Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100
=(18/36)*100
=50%
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Given the individual rates of workers, to find the combined rate of all the individuals working together you must
the individual rates.
Fill in the blank
To find the combined rate of all the individuals working together, you must add the individual rates.
How to calculate combined rate of individuals working together?When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.
This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.
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