Find the lim,- +0+ (1 + x) cotx Does not exist 0 e None of these
Answers
The limit of (1 + x) cotx as x approaches 0 from the positive side (+0) does not exist. Therefore, the limit
lim(x→0) (1 + x) cotx = 1.
To find the limit lim(x→0) (1 + x) cotx, we can follow these steps:
1. Rewrite the expression using the trigonometric identity cotx = 1/tanx, so the expression becomes (1 + x) * (1/tanx).
2. Rewrite tanx using the sine and cosine functions: tanx = sinx/cosx. So, the expression becomes (1 + x) * (1/(sinx/cosx)) or (1 + x) * (cosx/sinx).
3. As x approaches 0, both sinx and cosx approach their respective values at x = 0, which are sin(0) = 0 and cos(0) = 1.
4. Use L'Hôpital's rule to evaluate the limit, as the expression is in the indeterminate form 0/0 when x = 0. Differentiate both the numerator and the denominator with respect to x: d/dx[(1 + x) * cosx] = cosx - xsinx, and d/dx[sinx] = cosx.
5. The expression becomes (cosx - xsinx)/cosx when x approaches 0. Now, substitute x = 0 in the expression: (cos(0) - 0 * sin(0))/cos(0) = (1 - 0)/1 = 1.
Therefore, the limit lim(x→0) (1 + x) cotx = 1.
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Find the lim,- +0+ (1 + x) cot x. Does not exist 0 e? None of these?
Related Questions
Use the scenario below to ansuer questions 9-11. Raymond purchased a new tractor for his wheat farm. He estimates that the tractor will depreciate in value by about 8.5% per year as shown in the table below. AGE OF TRACTOR IN YEARS X o 1 VALUE OF TRACTOR (U.S. DOLLARS) f(x) 165,000 151,000 138,140 126,400 115,660 105,830 9. 2 What will be the estimated value of the tractor when it is 6 years old? 6 3 4 5 200000 У 180000 10. The graph shows the function f(x) = 165000(0.915) where f(x) is the value of Raymond's tractor after x years. What does poini (10, 67873) represent in the situation? 160000 165,000(0.915) 140000 120000 100000 Value of Teactor (collars) 800001 (10.87873) 60000 11. Using the function equation and a graphing utility, in how many years will the tractor be worth less than $50,000? 40000 20000 0 0 -2 2 16. 12 14 after 13 years 8 10 Time (years) -20000
Answers
Given:
\(f(x)=165000(0.915)^x\)Find-: what does point (10,67873) represent.
Sol:
\(f(x)=165000(0.915)^x\)Where,
\(\begin{gathered} f(x)=\text{ The value of random tractor } \\ \\ x=\text{ year} \end{gathered}\)At point.
\((10,67873)\)Point (10, 67873) represents after the 10-year value of the random tractor is 67873.
Check value for x = 10 year.
\(\begin{gathered} f(x)=165000(0.915)^x \\ \\ f(10)=165000(0.915)^{10} \\ \\ f(10)=67873 \end{gathered}\)What is the linear slope between the two points: (2,-3) and (7,1)?
Answers
Answer:
m=4/5
Step-by-step explanation:
Hope I helped ヾ(＾-＾)ノ
which assumption must be met for independent samples t-tests and anovas, but not for single sample z or t tests?
Answers
There are many assumption that must be met for independent samples t-tests and anovas, but not for single sample z or t tests
The assumption that must be met for testing independent samples from t-test or anovas are :
1. Takes into account the normal distribution of the dependent variable.
2. Makes the supposition that the variance of the two groups is equal to that of the dependent variable.
3. Pretends that the two samples are unrelated to one another.
4. Random selection is used to select samples from the population.
5. All observations in a t-test with an independent sample must be unrelated to one another.
6. To use the independent sample t-test, dependent variables must be measured on an interval or ratio scale.
Where For single Sample t-test ,
Data should be randomly selected and normally distributed
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Also this one if not a problem.
Answers
Answer:
we dont have paper
Step-by-step explanation:
Ramon wraps a ribbon completely around the length and width of a rectangular box. The box has a length of foot. If Ramon uses 15 feet of ribbon, how wide is the box?
Answers
We need to know about perimeter to solve the problem.The width of the box is 6.5 feet.
Perimeter of a rectangle is the measure of the total length and width of the rectangle. In the question it is said that Ramon wraps a ribbon around the length and width of a rectangular box. The length of the box is 1 foot, the total length of ribbon used is 15 feet, we need to find the width of the box.
perimeter=2(l+b) where l is the length and b is the width
15=2(l+b)
15=2(1+b)
15-2=2b
b=13/2=6.5 feet
Therefore the width of the box is 6.5 feet.
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2. The back of Nico’s truck is 7.5 feet long, 4 feet wide, and 8 feet tall. He has several boxes of important papers that he needs to move. Each box of papers is shaped like a cube, measuring 2.5 feet on each side.
How many boxes of papers can Nico pack into the back of his truck? Show your work.
Answer:
Answers
Answer:
9 boxes
Step-by-step explanation:
As the truck is 7.5 ft long, we can fit 3 boxes of paper along the length since 7.5 ÷ 2.5 = 3
As the truck is 4 ft wide, we can only fit 1 box of paper along the width
since 4 ÷ 2.5 = 1.6
As the truck is 8 ft tall, we can fit 3 boxes of paper high
since 8 ÷ 2.5 = 3.2
Therefore, the number of boxes of paper is:
3 × 1 × 3 = 9
Answer:
9 boxes
Step-by-step explanation:
Look above me ;)
Write an equation in slope-intercept form for the line that passes through (8,1) and (4,3)
.
y=−2x+5
y=−1/2x+5
y=1/2x+5
y=−1/2x+1/5
Answers
Find slope
Then solve for B using either given point
Slope = m= (y2-y1)/(x2-x1)
Slope intercept form is y= mx+b
Identify the characters of series below. nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n A) I Convergent, II Divergent, III Convergent B) I Convergent, Il Convergent, III Divergent C) I Convergent, II Convergent, III Convergent D) I Divergent, Il Divergent, III Divergent E) I Divergent, II Divergent, III Convergent
Answers
Based on the information, we can determine convergence or divergence of series.The given options do not provide a clear representation of potential outcomes.It is not possible to select correct option.
The given series is "nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n". In the series, we have the characters "nvž enn |||-)" which indicate the series notation. The characters "En=12 100 1-" suggest that there is a summation of terms starting from n = 12, with 100 as the first term and a common difference of 1. The characters "Σπίο 3* 2"-1 ||-) En=2 n" indicate another summation, starting from n = 2, with a pattern involving the operation of multiplying the previous term by 3 and subtracting 1.
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why did she leave me :(
Answers
Answer:
She went to go get the milk
Step-by-step explanation:
wait a minute ...............
Evaluate 1/5r + 9/20 when r = 1/4
1/5 ( blank) + 9/20 = blank + 9/20= Answer?
Answers
Answer:
Step-by-step explanation:
Substitute for r.
1/5(1/4) + 9/20 -> 1/20 + 9/20 = 10/20.
Simplify the final answer.
10/20 = 1/2
write 10 rational numbers between -1/3 and 1/3
Answers
Step-by-step explanation:
-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4
William Beville's Computer Training School in Richmond stocks notebooks for sale and would like to reduce its inventory cost by determining the optimal number of notebooks to order in each order. The ordering cost for each order is $27. The annual demand is 19455 units. The annual cost of holding each unit is $6. Each notebook costs $12. The school has a year of 250 working days. When a new order of notebooks is made, the supplier takes 4 days to deliver it.1. What inventory management model should we use to solve this problem?
Model Economic Quantity to Order
Model for discount purchases
Model Economic Quantity to Produce
Model to handle dependent demand
2. What is the optimal number of notebooks to make in each order? 3. What is the annual ordering cost (AOC)? 4. What is the Annual Holding Cost (AHC)? 5. What is the annual product cost (APC)? 6. What is the annual total cost of managing inventory (ATC) 7. What would be the total number of orders in the year (N)? 8. What would be the estimated time between each order (T)? 9. What is the daily demand? 10. What is the reorder point (ROP)? ____
units.
Answers
The inventory management model that should be used to solve this problem is the Model Economic Quantity to Order (EOQ) model. The optimal number of notebooks to make in each order is 590 units. The annual ordering cost (AOC) is approximately $892.20. The Annual Holding Cost (AHC) is $3540. The annual product cost (APC) is $233,460. The annual total cost of managing inventory (ATC) is approximately $237,892.20. The total number of orders in the year (N) is 33. The estimated time between each order (T) is approximately 7.58 days. The daily demand is approximately 77.82 units. The reorder point (ROP) is approximately 311 units.
The inventory management model that should be used to solve this problem is the Model Economic Quantity to Order (EOQ) model.
To find the optimal number of notebooks to make in each order, we can use the EOQ formula:
EOQ = √[(2 * Demand * Ordering Cost) / Holding Cost]
EOQ = √[(2 * 19455 * 27) / 6]
EOQ ≈ 589.96
Since the number of notebooks must be a whole number, the optimal number to order would be 590 notebooks.
The annual ordering cost (AOC) can be calculated by dividing the annual demand by the EOQ and multiplying it by the ordering cost:
AOC = (Demand / EOQ) * Ordering Cost
AOC = (19455 / 590) * 27
AOC ≈ $892.20
The Annual Holding Cost (AHC) is calculated by multiplying the EOQ by the holding cost per unit:
AHC = EOQ * Holding Cost
AHC = 590 * 6
AHC = $3540
The annual product cost (APC) is calculated by multiplying the annual demand by the cost per unit:
APC = Demand * Cost per unit
APC = 19455 * 12
APC = $233,460
The annual total cost of managing inventory (ATC) is the sum of the annual ordering cost, annual holding cost, and annual product cost:
ATC = AOC + AHC + APC
ATC = 892.20 + 3540 + 233460
ATC ≈ $237,892.20
The total number of orders in the year (N) can be calculated by dividing the annual demand by the EOQ:
N = Demand / EOQ
N = 19455 / 590
N ≈ 33
The estimated time between each order (T) can be calculated by dividing the number of working days in a year by the total number of orders:
T = Number of working days / N
T = 250 / 33
T ≈ 7.58 days
The daily demand is calculated by dividing the annual demand by the number of working days in a year:
Daily Demand = Demand / Number of working days
Daily Demand = 19455 / 250
Daily Demand ≈ 77.82 units/day
The reorder point (ROP) is the number of units at which a new order should be placed. It can be calculated by multiplying the daily demand by the lead time (time taken for the supplier to deliver the order):
ROP = Daily Demand * Lead Time
ROP = 77.82 * 4
ROP ≈ 311.28 units
Therefore, the reorder point would be approximately 311 units.
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will be giving brainliest to the correct one, no links or account will be reported:)
Answers
Answer:
63
Step-by-step explanation:
64+53+ (ㅣ) = 180
117 + (ㅣ) = 180
(ㅣ) = 63
which is the solution set for the quadratic equation x^2-9=0
Answers
===================================================
Explanation:
We could add 9 to both sides, and then apply the square root to both sides. Don't forget about the plus minus
x^2 - 9 = 0
x^2 = 9
x = sqrt(9) or x = -sqrt(9)
x = 3 or x = -3
To check these answers, you replace x with those values we found. I'll show you how to check x = 3
x^2 - 9 = 0
(3)^2 - 9 = 0
9 - 9 = 0
0 = 0
So that confirms x = 3. The confirmation for x = -3 is nearly the same. Keep in mind that (-3)^2 = (-3)(-3) = 9. You'll be squaring the negative as well.
------------------
Another method you could do is to use the difference of squares rule
x^2 - 9 = 0
x^2 - 3^2 = 0
(x - 3)(x + 3) = 0
Now apply the zero product property. This effectively means you set each factor equal to zero and solve for x
x-3 = 0 or x+3 = 0
x = 3 or x = -3
We end up with the same solution set.
Yet another method you could use is the quadratic formula, but that may be overkill. It's still good practice to do.
Graphing is a visual way to find the answers. You'll graph y = x^2 - 9 and look to see where the curve crosses or touches the horizontal x axis.
There are 345 rows of flowers in a garden. Each row contains 48 flowers. Find the estimated number of flowers in the garden.
Please give the statements and explanation
Answers
Answer:
total no. of rows in garden= 345 each row contains= 48 flowers
total no. of flowers in the garden= 345*48=16560
Answer:
16,560
Step-by-step explanation:
No of rows = 345
No. of flowers in each row = 48
Estimated no of flowers in the garden
= No of rows * No of flowers in each row
= 345*48
= 16,560
How long would it take R20000 invested today at a simple interest rate of 9% p.a. to reach an investment goal of R30000.
A Approximately 5.6 years
B Approximately 6.1 years
C Approximately 4.7 years
D Approximately 5.1 years
Answers
\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)
A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. (if an answer does not exist, enter dne. ) f(t) = t3 − 8t2 + 25t
Answers
f(t) = t3 − 8t2 + 25t + 10. When all the parts are put together, the equation represents a combination of the 3 components, representing a law of motion for a particle.
This equation represents a law of motion, where t is measured in seconds and s in feet. This equation can be broken down into 3 parts; t3, -8t2 and 25t + 10. The t3 part of the equation represents a cubic function, which is usually associated with acceleration. The -8t2 part is a quadratic function, which is typically associated with velocity. Finally, the 25t + 10 is a linear function, which is usually associated with displacement. When all the parts are put together, the equation represents a combination of the 3 components, representing a law of motion for a particle.
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The following data represent a random sample for the ages of 41 players in a baseball league. Assume that the population is normally distributed with a standard deviation of 2.1 years. Use Excel to find the 98% confidence interval for the true mean age of players in this league. Round your answers to three decimal places and use ascending order.
Age
29
31
30
23
24
30
24
30
34
30
28
28
28
31
25
25
25
31
26
24
21
34
32
30
26
26
31
32
36
32
25
25
28
27
25
33
29
29
32
26
27
Provide your answer below: ( , )
Answers
The 98% confidence interval for the true mean age of players in this league
(27.152, 30.548)
To find the 98% confidence interval for the true mean age of players in this baseball league using Excel, follow these steps:
1. Enter the age data in a column, for example, from A1 to A41.
2. Calculate the sample mean using the formula "=AVERAGE(A1:A41)" in any empty cell.
3. Calculate the standard error using the formula "=(2.1/SQRT(COUNT(A1:A41))" in another empty cell.
4. Find the critical value (z-score) for a 98% confidence interval using the formula "=NORM.S.INV(1-(1-0.98)/2)" in another empty cell.
5. Calculate the margin of error using the formula "z_score * standard_error" in another empty cell.
6. Find the lower confidence limit using the formula "=sample_mean - margin_of_error" in another empty cell.
7. Find the upper confidence interval limit using the formula "= sample mean + margin of error" in another empty cell.
After following these steps, you should have the lower and upper limits of the 98% confidence interval. Round the results to three decimal places and use ascending order.
Your answer:(27.152, 30.548)
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PLEASE HELP ASAP!!!!!!!!!!! Point A is one vertex of triangle ABC. Point B is the x-intercept of 6x−4y=−12 and point C is the y-intercept. What are points B and C? Sketch the triangle in the coordinate plane.
Answers
Ok the line given is equal to y=3/2x+3
Y-intercept is (0,3) = C
X-intercept is (-2,0) = B
And A can go anywhere
In a court case, a judge cited a court of contempt and ordered a fine of $2 for first day. On subsequent days, the fine would be equal to the square of the previous day's fine. e.g. 2, 4, 16, 256 and so on. Find out:-
a) What would be the fine on day n
?
b) How many days would it take the fine to reach D
dollars?
Answers
Using geometric sequence, a) The fine on day n is $2^n (2 to the power of n). b) It would take log_2(D/2) + 1 days for the fine to reach D dollars.
In this court case, the fine on each subsequent day is equal to the square of the previous day's fine. This means that the fine follows a geometric sequence, where the common ratio is the square of the previous term.
a) To find the fine on day n, we can use the formula for the nth term of a geometric sequence:
a_n = a_1 * r^(n-1)
Where a_n is the nth term, a_1 is the first term, r is the common ratio, and n is the term number.
In this case, a_1 = 2 (the fine on the first day), r = 2 (the common ratio), and n is the day number. Plugging these values into the formula, we get:
a_n = 2 * 2^(n-1)
So the fine on day n would be 2 * 2^(n-1) dollars.
b) To find how many days it would take the fine to reach D dollars, we can use the formula for the nth term of a geometric sequence and solve for n:
D = 2 * 2^(n-1)
Dividing both sides by 2, we get:
D/2 = 2^(n-1)
Taking the logarithm of both sides with base 2, we get:
log_2(D/2) = n - 1
Adding 1 to both sides, we get:
n = log_2(D/2) + 1
So it would take log_2(D/2) + 1 days for the fine to reach D dollars.
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What is the new coordinate of Point B (8,7) with scale factor r=2? What is the new coordinate of Point C (12,9) with scale factor r=2? What is the new coordinate of Point D (3,10) with scale factor r=2?
Answers
Answer:
\(B' = (16,14)\)
\(C' = (24,18)\)
\(D' =(6,20)\)
Step-by-step explanation:
Given
\(B = (8,7)\)
\(C = (12,9)\)
\(D = (3,10)\)
\(r = 2\) --- the scale factor
Required
The new coordinate of each point
To do this, we will interpret dilation as stretching.
So, the new point is calculated as:
\(New = Old * Scale\ factor\)
\(New = Old * r\)
So, we have:
\(B = (8,7)\)
\(B' = (8,7) * 2\)
\(B' = (16,14)\)
\(C = (12,9)\)
\(C' = (12,9) * 2\)
\(C' = (24,18)\)
\(D = (3,10)\)
\(D' =(3,10) * 2\)
\(D' =(6,20)\)
Hence, the new points are:
\(B' = (16,14)\)
\(C' = (24,18)\)
\(D' =(6,20)\)
what is the equation of y=x^3 with the given transformations
Answers
Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.
1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.
2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.
3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.
4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.
5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.
6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.
Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.
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11. Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second. Hank is driving a boat
at 25 mph and is decreasing his speed by 0.7 mph each second. Which of the following equations could be used
to determine x, the number of seconds it will take for the boats to be traveling the same speed?
A. 12x + 0.2 = 25x -0.7
C. 12.2x = -25.7x
B. 12 -0.2x = 25 +0.7X
D. 12 +0.2x = 25-0.7x
Answers
12+0.2x=−25−0.7x
Stay Safe!!
How can I factorise expressions
Answers
Answer:
The first step of factorising an expression is to 'take out' any common factors which the terms have. So if you were asked to factorise x² + x, since x goes into both terms, you would write x(x + 1) . This video shows you how to solve a quadratic equation by factoring.
Step-by-step explanation:
Here are two steps from the derivation of the quadratic formula (picture included)
what took place between the first step and the second step?
A. factoring a perfect square trinomial
B. completing the square
C. taking the square root of both sides
Answers
The mathematical operation which took place between the first step and the second step from the derivation of the quadratic formula is: B. completing the square.
What is a quadratic equation?A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
The derivation of quadratic formula.Mathematically, the quadratic formula can be derived as follows:
x² + b/ax +c/a = 0
x² + b/ax = -c/a
x² + b/ax + (b/2a)² = - c/a + (b/2a)² [completing the square]
(x + b/2a)² = b²/4a² - c/a
x + b/2a = √(b²/4a² - c/a)
\(x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\)
In conclusion, the step which is shown in the image above for the derivation of the quadratic formula was derived by using completing the square method.
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Answer: THE CORRECT ANSWER IS Factoring a perfect square trinomial
Step-by-step explanation:
What is the linear function equation that best fits the data set? 1) y = -2x + 5. 2) y = 2x + 5. 3) y = -1/2x + 5. 4) y = 1/2x - 5.
Answers
Without specific information about the data set, it is not possible to determine which equation is the best fit.
To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.
However, I can provide a general explanation of the four options:
y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.
y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.
y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.
y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.
Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.
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Can someone please help
Evaluate the function.
Answers
Answer:
Hello I'm pretty sure the answer is 20
Hope This Helps :D
Please let me know if I am incorrect pretty sure its right tho
Answer:
f(1) = 32
Step-by-step explanation:
f(x) = 4x^2 + 3x + 13
4(1)^2 + 3(1) + 13
4^2 + 3 + 13
16 + 3 + 13 = 32
What is y= 3x +4 on a graph
Answers
y = 3x +4
3 is the slope. Rise 3 run 1 or up 3 right 1.
4 is the y-intercept
Which of the following terms correctly describe the object below?A.SquareB.PolygonC.TriangleD.PolyhedronE.PyramidF.Prism
Answers
Recall the definition of each concept to check if it fits the figure.
A) Square: A square is a quadrilateral whose sides all have the same length.
B) Polygon: A polygon is a 2D shape formed by non-intersecting straight segments.
C) Triangle: A triangle is a polygon with exactly 3 sides.
D) Polyhedron: A polyhedron is a 3D shape formed by flat polygonal shapes.
E) Pyramid: A pyramid is a polyhedron formed by a simple polygon whose lateral faces are triangles that converge in a common vertex.
F) Prism: A prism is a polyhedron formed by two parallel and equal polygonal faces, whose lateral faces are parallelograms.
The given object is a 3D shape formed by flat polygonal shapes, with a base that is a quadrilateral and whose lateral faces are triangles that converge in a common vertex.
Therefore, the only two terms that correcty describe the given object are:
D) Polyhedron
E) Pyramid
If you exchange 120 dimes
for dollars, then how many
dollars would you get?
Answers
Answer:
12
Step-by-step explanation:
you divide 120 by 10 since dimes are equal to ten cents
To determine how many dimes are in dollars:
⇒ must know the rate of conversion
⇒ for every dollar, there are 10 dimes
⇒ \(\frac{1_. dollar}{10_. dimes}\)
Let's solve:
\(120_. dimes * \frac{1_.dollar}{10_.dimes} = \frac{120}{10} *\frac{dimes}{dimes} *dollar=12_.dollars\)
Thus you would get 12 dollars
Answer: 12 dollars
Hope that helps!