Write equivalent fractions for 3/7 and 1/3 using 21 as a common denominator
Answers
Answer:
Step-by-step explanation:
\(\frac{3}{7}=\frac{3*3}{7*3}=\frac{9}{21}\\\\\frac{1}{3}=\frac{1*7}{3*7}=\frac{7}{21}\)
Related Questions
Can anybody help me on the question.
ASAP
Answers
The hanger in the illustration will have the value x = 6, and it will remain balanced.
Define equations?Mathematical expressions with two algebraic expressions on either side of the equals (=) sign are called equations. It demonstrates the equality of the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in each mathematical equation. To determine the value of an unknown variable that stands in for an unknown quantity, equations can be solved.
Here's the query,
Considering the graph,
The hanger's equation is as follows:
4x= 24
There are 4 numbers here that represent the value of the hanger.
So, x+x+x+x will be 24.
The equation is thus:
4x = 24.
Now, by resolving the equation, we can determine the value of x that balances the hanger:
4x = 24.
When you divide 4 on both sides:
x = 24/4
x = 6.
As a result, the hanger will remain in equilibrium for x = 6.
To know more about equations, visit:
brainly.com/question/29657983
#SPJ1
In recent years, Sheffield Transportation purchased three used buses. Because of the frequent turnover in the accounting department, a different accountant was in charge of selecting the depreciation method for each bus, and various methods have been used. Information concerning the buses is summarized in the table below. Bus 1, Bus 2, Bus 3, For the declining-balance method, the company uses the declining method rate. For units-of-activity method, total miles are expected to be 125,000. Actual miles of use in the first 3 years were 2021, 27,000; 2022, 35,000; and 2023, 33,000.
(a1) For Bus #3, calculate depreciation expense per mile under units-of-activity method.
Answers
Under the units-of-activity method, the depreciation expense per mile for Bus #3 is $0.4616.
How is the depreciation expense per mile determined?The units-of-activity method is one of the depreciation methods in use.
Under the units-of-activity method, the depreciation expense per unit is determined by dividing the depreciable amount by the total units of activity.
The depreciation amount (the value of the asset subject to depreciation) is the net of the total cost less the salvage value.
Depreciable amount of Bus #3 = $57,700 ($66,500 - $8,800)
Expected total miles for Bus #3 = 125,000
Depreciation expense per mile for Bus #3 = $0.4616 ($57,700 ÷ 125,000)
Learn more about determining the depreciation expense per unit at https://brainly.com/question/22077069.
#SPJ1
Question Completion:Bus Acquired Cost Salvage Useful Life Depreciation
Value in Years Method
1 1/1/12 $99,100 $7,900 4 Straight-line
2 1/1/12 128,000 11,000 4 Declining- balance
3 1/1/13 66,350 8,800 5 Unit-of-activity
7.6 is how much more than 3?
Answers
Answer:
4.6
Step-by-step explanation:
7.6 minus 3, is all u gotta do
Trigonometry: Measure tal Excel In Opt. Mathematics - Book 9 ) If the number of degrees of a certain angle added to the number of gra same angle is 152, find the angle in degrees.
Answers
The angle in degrees is 873.1843.
Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).
According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.
Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.
Multiplying both sides of the equation by 180/π, we get:
θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843
Thus, the angle in degrees is 873.1843.
For more such questions on angle, click on:
https://brainly.com/question/25770607
#SPJ8
Ellen already knew 50 appetizer recipes before starting culinary school, and she will learn 4 new appetizer recipes during each week of school. After 73 weeks of culinary school, how many total appetizer recipes will Ellen know? Write and solve an equation to find the answer.
Answers
Answer:
342
Step-by-step explanation:
50+4x=y
x=73
Please help!!!!!!! 100 points
Answers
Answer:
ur missing:
images
materials list
sequential steps
title
Step-by-step explanation:
I was also looking for an answer lol!
The last one got cut off it is 0.2 424424442
Answers
Given:
Given that a 6 numbers.
Required:
To choose the irrational number from the given number.
Explanation:
An irrational number is a type of real number which cannot be represented as a simple fraction.
The irrational numbers are,
\(\begin{gathered} \sqrt{15} \\ \sqrt{19} \\ 0.2424424442 \end{gathered}\)Final Answer:
The irrational numbers are,
\(\sqrt{15},\sqrt{19},0.2424424442\)Which mapping diagram does not represent a function?
Answers
Answer:
A.
Step-by-step explanation:
The definition of a function is that each input has only 1 output. That does not mean that 2 different inputs can not have the same output. A. shows that the number 3 has 2 outputs. My explaining is not that good but trust me.
What is the equivalent to the product below when x>_0?
√5x² •√15x²
Answers
√(5x²) • √(15x²) = √(5x² * 15x²)
Using the property of square roots that √(a * b) = √a * √b, we can simplify further:
√(5x² * 15x²) = √(5 * 15 * x² * x²)
Next, we simplify the numerical part:
√(5 * 15 * x² * x²) = √(75 * x² * x²)
Since x ≥ 0, x² is always non-negative, so we can remove the square root:
√(75 * x² * x²) = x * x * √75
Finally, we simplify the square root of 75:
x * x * √75 = x² * √75
Therefore, the equivalent expression is x² * √75 when x ≥ 0.
we send a bit over the internet and the probability of successfully receiving it is 0.5. we define the random variable x
Answers
As the number of successful bit transmissions in a sequence of 10 bits sent over the internet. Then x follows a binomial distribution with parameters n=10 and p=0.5.
Binomial Distribution SummaryThe binomial distribution models the number of successful outcomes in a fixed number of independent Bernoulli trials, where each trial has only two possible outcomes: success or failure. In this case, the number of trials is 10 (n=10) and the probability of success in each trial is 0.5 (p=0.5).
Since each bit transmitted over the internet can be considered a Bernoulli trial, it follows that the number of successful transmissions (x) follows a binomial distribution with parameters n=10 and p=0.5.
These properties make the binomial distribution a useful model for situations where the number of trials is fixed, each trial is independent, and each trial has only two possible outcomes.
In the example of sending bits over the internet, each bit transmission can be considered a Bernoulli trial, so the number of successful transmissions follows a binomial distribution.
Learn more about Binomial Distribution Summary here:
https://brainly.com/question/14565246
#SPJ4
The production department has installed a new spray machine to paint automobile doors. As is common with most spray guns, unsightly blemishes often appear because of improper mixtures or other problems. A worker counted the number of blemishes on each door. Most doors had no blemishes; a few had one; a very few had two; and so on. The average number was 0.5 per door. The distribution of blemishes followed the Poisson distribution. Out of 10,000 doors painted, about how many would have no blemishes
Answers
Answer:
The numbers of doors that will have no blemishes will be about 6065 doors
Step-by-step explanation:
Let the number of counts by the worker of each blemishes on the door be (X)
The distribution of blemishes followed the Poisson distribution with parameter \(\lambda =0.5\) / door
The probability mass function on of a poisson distribution Is:
\(P(X=x) = \dfrac{e^{- \lambda } \lambda ^x}{x!}\)
\(P(X=x) = \dfrac{e^{- \ 0.5 }( 0.5)^ x}{x!}\)
The probability that no blemishes occur is :
\(P(X=0) = \dfrac{e^{- \ 0.5 }( 0.5)^ 0}{0!}\)
\(P(X=0) = 0.60653\)
P(X=0) = 0.6065
Assume the number of paints on the door by q = 10000
Hence; the number of doors that have no blemishes is = qp
=10,000(0.6065)
= 6065
RESULTADO DE 79 MAS X IGUAL 452
Answers
Write a numerical expression for the calculation.
Add 79, 139, and 19, and then divide by 27.
Answers
Answer:
(79+139+19) / 27
answer is 8.77 repeating if you need it
Step-by-step explanation:
A 78.0 kg sprinter starts a race with an acceleration of 1.64 m/s2. If the sprinter accelerates at that rate for 25 m, and then maintains that velocity for the remainder of the 100 m dash, what will be his time (in s) for the race?
Answers
The sprinter will complete the race in approximately 17.07 seconds.
To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.
Acceleration Phase:
The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:
v = u + at
Here:
v = final velocity (which is the velocity at the end of the acceleration phase)
u = initial velocity (which is 0 since the sprinter starts from rest)
a = acceleration
t = time
Rearranging the equation, we have:
t = (v - u) / a
Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:
t = v / a
Plugging in the values, we get:
t = 25 m / 1.64 m/s²
Constant Velocity Phase:
Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:
t = d / v
Here:
d = distance
v = velocity
Plugging in the values, we get:
t = 75 m / (v)
Since the velocity remains constant, we can use the final velocity from the acceleration phase.
Now, let's calculate the time for each phase and sum them up to get the total race time:
Acceleration Phase:
t1 = 25 m / 1.64 m/s²
Constant Velocity Phase:
t2 = 75 m / v
Total race time:
Total time = t1 + t2
Let's calculate the values:
t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)
Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:
v = u + at
Here:
u = initial velocity (0 m/s)
a = acceleration (1.64 m/s²)
t = time (25 m)
Plugging in the values, we get:
v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s
Now, let's calculate the time for the constant velocity phase:
t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)
Finally, let's calculate the total race time:
Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)
Therefore, the sprinter will complete the race in approximately 17.07 seconds.
For such more questions on Sprinter Race Time Calculation
https://brainly.com/question/18963548
#SPJ8
A sample of 16 items from population 1 has a sample variance 5.8 and a sample of 21 items from population 2 has a sample variance 2.4. Test the following hypotheses at the .05 level of significance. H0: Population 1 Variance < Population 2 Variance Ha: Population 1 Variance > Population 2 Variance a. What is the p-value
Answers
Answer:
Reject the null hypothesis.
Step-by-step explanation:
n1 = 16
n2 = 21
S.V1 = 5.8
S.V2 = 2.4
\(\alpha\) = 0.05
\(H_{0}\) = Population Variance 1 ≤ Population Variance 2
\(H_{a}\) = Population Variance 1 > Population Variance 2
Test statistic value = 5.8 / 2.4 = 2.417
Degrees of freedom is n - 1
15 and 20
Critical value is \(F_{0.05}\) = 2.2
2.417 > 2.2
we reject the null hypothesis as the critical value is greater than the test statistic.
Every four years, the Census counts how many people are living in every town in theUnited States..The 2012 Census showed that 10,000 people were living in Appleville, and 4,000people were living in Bridgetown.The population of Appleville is predicted to decrease by half every four years.The population of Bridgetown is predicted to increase by 1,000 every four years..If the predictions come true, what will be the first census year that will showBridgetown with a larger population than Appleville?
Answers
Answer:
2020 will be the first census year that will show Bridgetown with a larger population than Appleville.
Step-by-step explanation:
To solve this situation we can make a value-table:
Since every four years, the population of Appleville is predicted to decrease by half and the population of Bridgetown is predicted to increase by 1,000.
Hence, 2020 will be the first census year that will show Bridgetown with a larger population than Appleville.
I neeed hellppppp plissss
Answers
Answer:
I believe C is the closest equation to the graph
Step-by-step explanation:
Find the solution to the equation 8x = -76
Answers
Answer:
x=-9.5
Step-by-step explanation:
Divide 76 by 8. Since 76 is negative, the answer would be a negative because 8 is a positive and a positive x negative is always a negative,
Anna is 4 years older than her brother. Two years ago her brother was 3/4 her age. How old will her brother be in five years
Answers
Answer: he will be 14
Step-by-step explanation:
Anna is 14 and her brother is 10. Two years ago she was 12. 3/4 of 12 is 9. 9+5 more years is 14. :)))
It took Debbie 3.6 hours to drive to her mother's house on Thursday morning. On her return trip on Friday night, traffic was heavier, so it took her 4 hours. Her average speed on Friday was 4 mi/hr slower than on Thursday. What was her speed on Friday?
Answers
Answer:
36 mph
Step-by-step explanation:
d = rt
d = (x)(3.6)
d = (x-4)(4)
3.6x = 4x - 16
-0.4x = -16
x = 40
Her speed was 40 on Thursday, so 36 on Friday
The speed of Debbie on Friday is 36 miles per hour.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
Let d be the distance of her mother's house.
Let x be the speed of Debbie on Thursday.
x = d / 3.6
⇒ d = 3.6x
Speed on Friday = x - 4
Speed on Friday = d / 4
d / 4 = x - 4
⇒ d = 4 (x - 4)
Equating both the equations of d, we get,
4(x - 4) = 3.6x
4x - 16 = 3.6x
4x - 3.6x = 16
0.4x = 16
x = 40
Speed of Debbie on Thursday = 40 mile per hour
Speed of Debbie on Friday = 40 - 4 = 36 mile per hour
Hence the speed of Debbie on Friday is 36 miles per hour.
To learn more about Speed, click on the link :
https://brainly.com/question/28224010
#SPJ2
Somebody help me with this ASAP
Answers
Answer:
no kid stup
Step-by-step explanation:
In the box, type the number that correctly completes the sentence.
Andrew bought a sandwich for $4.37. If he gives the cashier a $10 bill, he
should receive $
in change.
Answers
if c is a positive number, how many solutions does vx=c have?
Answers
All cases where v and x are both negative or both positive numbers.
A cougar jumped a distance of 13 yards. How many inches did this cougar jump?
Answers
Answer:
468 in
Step-by-step explanation:
Step 1: Define conversions
3 feet = 1 yard
1 foot = 12 inches
Step 2: Use dimensional analysis
\(13 \hspace{3} yards(\frac{3 \hspace{3} feet}{1 \hspace{3} yard} )(\frac{12 \hspace{3} inches}{1 \hspace{3} feet} )\) = 468 inches
If using the method of completing the square to solve the quadratic equation
x² - 13x +31 = 0, which number would have to be added to "complete the
square"?
Answers
To make a square using the method of completing the square.
[ (a + b)² = a² + 2ab + b² ]
[ (a - b)² = a² - 2ab + b² ]
x² - 13x + 31 = 0
(x - 13/2)² + (293/4) = 0
The number added to complete the square is 293/4.
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
x² - 13x + 31 = 0
To make a square using the method of completing the square.
[ (a + b)² = a² + 2ab + b² ]
[ (a - b)² = a² - 2ab + b² ]
x² - 2 x (13/2)x + (13/2)² - (13/2)² + 31 = 0
(x - 13/2)² + 169/4 + 31 = 0
(x - 13/2)² + (293/4) = 0
Thus
The number added to complete the square is 293/4.
Learn more about polynomials here:
https://brainly.com/question/2284746
#SPJ1
The following data was collected from a simple random sample from a process (infinite population).
13 15 14 16 12
I've already determined that the point estimate of the population mean is 14 and the point estimate of the population std. deviation is 1.581.
What is the Mean of the Population?
A. 14
B. 15
C. 15.1581
D. Could be any Value.
Answers
The mean of the population is 14, which is the point estimate of the population mean that was determined from the simple random sample.
The mean of the population is a measure of the central tendency of the population. It is calculated by taking the sum of all the values in the population and dividing by the total number of values. In this case, the mean of the population would be calculated by adding the values of the sample (13, 15, 14, 16, 12) and dividing by the total number of values (5). The mean of the population is then 14 (13 + 15 + 14 + 16 + 12 / 5 = 14).
To calculate the mean of the population, we first need to calculate the sum of all the values in the population. This is done by adding the values of the sample together (13 + 15 + 14 + 16 + 12 = 70). We then divide the sum of the values by the total number of values in the population (70 / 5 = 14). This gives us the mean of the population, which is 14.
The mean of the population is a measure of the central tendency of the population, and it is calculated by taking the sum of all the values in the population and dividing by the total number of values. In this case, the mean of the population was 14, which is the point estimate of the population mean that was determined from the simple random sample.
The mean of the population is 14, which is the point estimate of the population mean that was determined from the simple random sample.
Learn more about random sample here:
https://brainly.com/question/28985088
#SPJ4
Starting salaries of 130 college graduates who have taken a statistics course have a mean of $44,783. The population standard deviation is known to be $10,272. Using 99% confidence, find both of the following:
A.The margin of error:
B. Confidence interval:
Answers
A. The margin of error for a 99% confidence interval is $$2,320.75.
B. The confidence interval for the mean starting salary of college graduates who have taken a statistics course is CI = $42,462.25 to $47,103.75
How to find both of the margin of error and confidence interval?PART A.
The margin of error (ME) is determined using the formula:
ME= z ∗ σ/√n
where:
z is the z-score for the desired confidence level
σ is the population standard deviation
n is the sample size
For a 99% confidence level, the z-score is 2.576. The population standard deviation is $10,272, and the sample size is 130.
Substituting these values into the formula, we have:
ME = 2.576 ∗ 10272/√130
ME = $2,320.75
PART B
The confidence interval (CI) is determined using the formula:
CI = \(\bar{x}\) ± ME
where:
\(\bar{x}\) is the sample mean
ME is the margin of error
The sample mean is $44,783, and the margin of error is $2,320.75.
Substituting the values into the formula, we get:
CI= 44783 ± 2320.75
CI = $42,462.25 to $47,103.75
Learn more about margin of error on:
https://brainly.com/question/31876031
#SPJ1
Please show work on a paper and upload it need it ASAPPP
Answers
The value of the summation expression given in the task content is; 16.
What is the value of the summation expression given?It follows from the task content that the value of the summation expression given is to be determined.
Since the given expression is; 2x - 3,
On this note;
When x = 2; 2(2) - 3 = 1When x = 3; 2(3) - 3 = 3When x = 4; 2(4) - 3 = 5When x = 5; 2(5) - 3 = 7On this note, the sum of all of the results above is the correct Evaluation of the given expression; 1 + 3 + 5 + 7 = 16.
On this note, the result of the evaluation is; 16.
Read more on summation expression;
https://brainly.com/question/29334900
#SPJ1
Line M contains points (4,3) and (1,2). Write a possible equation of line K that is
perpendicular to line M.
Answers
This is what I got from calculating it but I haven’t done this type of equation in a while
24 X 83 how do u solve
Answers
_________________
1. Line up the numbers to multiply.
2 4
x 8 3
-----------
2. First, start with multiplying 3 by 4, which is 12. So, you would write it as shown.
1
2 4
x 8 3
-----------
2
3. Then, multiply 3 by 2, which is 6. Remember to add 1, which is 7.
1
2 4
x 8 3
-----------
7 2
4. Now, multiply 8 by 4, which is 32. You would write it as follows.
3
1
2 4
x 8 3
-----------
7 2
2
5. Next, add 3 and 2, which is 5. Then multiply 5 by 8, which is 19.
1 3
1
2 4
x 8 3
-----------
7 2
9 2
6. Then, drop down the 1 to the left of 9, and fill in the empty spaces with 0. Add the two and you have your final answer.
1 3
1
2 4
x 8 3
-----------
0 0 7 2
+ 1 9 2 0
--------------
1 9 9 2 ← Final Solution
___________________________________________
Hope this helps!