Write the decimal 5.666… as a mixed number in simplest form.
Answers
Answer:
5 2/3
Step-by-step explanation:
The decimal of .6 repeating is a common fraction that represents 2/3.
To write that in a mixed number is to put the whole number out front and the fraction afterward.
Answer:
The answer is 5 2/3
Related Questions
Roberto compró 6 cd's y 10 revistas en $ 900.00 pesos; en la misma tienda su amiga María compró 10 cd's y 4
revistas en $ 1.220.00 pesos. ¿ Cual es el sistema de ecuaciones con dos incognitas que representa el problema?
Answers
The system of linear equation that represent this problem is
6x + 10y = 900
10x + 4y = 1220
What is the system of equation?Let's represent the number of CDs Roberto bought as x and the number of magazines as y
The problem states the following information:
Using the variables; x and y as given;
1. Roberto bought 6 CDs and 10 magazines for $900.00 pesos. This can be represented as the equation:
6x + 10y = 900
2. María bought 10 CDs and 4 magazines for $1,220.00 pesos. This can be represented as the equation:
10x + 4y = 1220
So, the system of equations representing the problem is:
6x + 10y = 900
10x + 4y = 1220
learn more on system of linear equation here;
https://brainly.com/question/13729904
#SPJ1
Translation: Roberto bought 6 cd's and 10 magazines for $900.00 pesos; In the same store, her friend María bought 10 CDs and 4
magazines at $1,220.00 pesos. What is the system of equations with two unknowns that represents the problem?
Given f(x)=6(8-x)+5.
What does the notation f(-2) mean?
What is the value of f(-2)?
Answers
Answer:
f(-2) means that x = -2
f(-2) = 65
Step-by-step explanation:
f(x) = 6(8 - x) + 5
f(-2) = 6(8 + 2) + 5
f(-2) = 6(10) +5
f(-2) = 60 + 5
f(-2) = 65
The length of a rectangle is 6 inches more than 4 times its width. A similar
rectangle has a length of 18 inches and a width of 4 inches. What is the area of the
first rectangle??
Answers
Answer:
18 × 4 is 72...
so.. the area of rectangle is 72inches²
Step-by-step explanation:
to find the area of rectangle is Lenght multiple with its Width
Georgia runs 2.4 km in 10 minutes.
Work out her average speed in metres per second.
Answers
Georgia's average speed expressed in meter per seconds is 4m/s
Conversion of UnitsTo find the average speed in meters per second, we need to convert the distance and time to the appropriate units.
Converting distance from kilometers to meters :
1km = 1000m
2.4 km = (2.4 × 1000) = 2400 m
Converting time from minutes to seconds ;
1 minute = 60 seconds
10 minutes = (60 × 10) = 600 seconds
The average speed can be calculated using the formula:
Average speed = distance / time
Average speed = 2400/60 = 4
Therefore, Georgia's average speed is 4 meters per second.
Learn more on speed; https://brainly.com/question/24739297
#SPJ1
Anna want to ell toy car at a craft fair for $ 12 each. The material for each car cot $ 3. 50 and the table rental at the fair i 34 dollar for the day. How many car mut anna ell for her revenue to equal her expenence
Answers
The toy cars Anna must sell for her revenue to equal her expense is 4 toy cars. The result is obtained by using the concept of calculating algebra.
Algebra with one variableTo calculate the algebra with one variable, sum up all the same variable and count the value.
Anna want to sell toy car at a craft fair. Each car is sold at a price of $ 12. The material for each car cost $ 3.50 and the table rental at the fair is 34 dollar for the day.
Find the toy cars must Anna sell for her revenue to equal her expense!
We have
Price of each toy car = $12Material of each toy car = $3.5Rental table = $34 per dayLet's say
a = the number of toy cars soldRevenue = Expense
a × $12 = (a × $3.5) + $34
12a = 3.5a + 34
12a - 3.5a = 34
8.5a = 34
a = 4 toy cars
Hence, Anna must sell 4 toy cars so that her revenue is equal to expense.
Learn more about algebra here:
brainly.com/question/24875240
#SPJ4
A bicycle has a listed price of $603.98 before tax. If the sales tax rate is 8.5%, find the total cost of the bicycle with sales taxincluded.Round your answer to the nearest cent, as necessary.
Answers
ok
603.98 -------------------------- 100%
x -------------------------- 8.5%
x = (8.5 x 603.98) / 100
x = 5133.83/100
x = 51.33
Total cost = 603.98 + 51.33
Result
Total cost = $655.3
Convert the following to a percentage: $0.40 out of $2.50
Answers
Answer:
16%
Step-by-step explanation:
Solution for 0.40 is what percent of 2.50:
0.40:2.50*100 =
(0.40*100):2.50 =
40:2.50 = 16
Answer:
16%planation:
I need help with this problem. Can anyone help?
Answers
Answer:
B.35 words per minute
Step-by-step explanation:
To get the rate per minute you have to divide the words type by the amount of minutes it took to type them. Since 105/3=35 and 175/5=35, the answer is B.35 words per minute
Select 3 side lengths that can form a right triangle.
Answers
Answer:
16 inches, 63 inches, and 65 inches
Step-by-step explanation:
Edit: I had to change cause it was wrong
Answer:
16 inches, 63 inches, and 65 inches
Step-by-step explanation:
16 squared = 256
63 squared = 3969
16 squared + 63 squared = 4225
65 squared = 4225
A^2 +B^2 = C^2
Help me Asap,
Find the coordinates of the point of intersection of the lines 2x + y = - 1 and 3x - 4y =
Answers
Answer: (- 0.3636, - 0.2727)
Step-by-step explanation:
2x + y = - 1
3x - 4y = 0
X= - 0.3636
Y= - 0.2727
What is the equation of the line, in point-slope form, that passes through the points (-1, 7) and (-2, 3)?
Answers
Answer:
Step-by-step explanation:
(3-7)/(-2+1)= -4/-1= 4
y - 7 = 4(x + 1)
y - 7 = 4x + 4
y = 4x + 11
Both of these please
Answers
p = (+-)12
m = 2
,,,,,,
is 3 an element of the set {1,2,3}
Answers
Answer:
yes
Step-by-step explanation:
3 is inside the brackets
You won $100000.00 in a lottery and you want to set some of that sum aside for 4 years. After 4 years you would like to receive $2000.00 at the end of every 3 months for 6 years. If interest is 5% compounded semi-annually, how much of your winnings must you set aside?
Answers
Answer: you would need to set aside approximately $39,742.72 from your lottery winnings to receive $2,000 at the end of every 3 months for 6 years, assuming a 5% interest rate compounded semi-annually.
To calculate the amount you need to set aside from your lottery winnings, we can use the concept of present value. Present value is the current value of a future amount of money, taking into account the time value of money and the interest rate.
First, let's calculate the present value of receiving $2,000 at the end of every 3 months for 6 years.
Since the interest is compounded semi-annually, we need to adjust the interest rate accordingly. The interest rate of 5% compounded semi-annually is equivalent to a nominal interest rate of 5% divided by 2, or 2.5% per compounding period.
Now, let's calculate the number of compounding periods for 6 years. There are 4 quarters in a year, so 6 years is equivalent to 6 x 4 = 24 quarters.
Using the formula for present value of an ordinary annuity, we can calculate the amount you need to set aside:
PV = P * (1 - (1 + r)^(-n)) / r
Where:
PV = Present Value
P = Payment per period ($2,000)
r = Interest rate per period (2.5%)
n = Number of compounding periods (24)
PV = $2,000 * (1 - (1 + 0.025)^(-24)) / 0.025
PV = $2,000 * (1 - 0.503212) / 0.025
PV = $2,000 * 0.496788 / 0.025
PV ≈ $39,742.72
Therefore, you would need to set aside approximately $39,742.72 from your lottery winnings to receive $2,000 at the end of every 3 months for 6 years, assuming a 5% interest rate compounded semi-annually.
Learn more about present value calculations :
https://brainly.com/question/29392232
#SPJ11
There are 60 in one hour.How many minutes are in 1 1/4 hours ?
Answers
Answer:
75
Step-by-step explanation:
Answer: 11/4
Step-by-step explanation:
11/4x60/60=11/4
Suppose that you borrow $15,000 for 4 years at 5% toward the purchase of your car. use pmt to find the monthly payments and the total interest for the loan
Answers
The formula for the monthly loan payment is given as
\(A\text{ = }P(\frac{r(1+r)^n}{(1+r)^n-1})\)Where
P = loan amount ( initial principal) = $15000
A= Payment amount per period = ?
r = interest rate per period = (5/12) x (1/100) =0.0041667
n = total number of payments or periods = 4 years = 4 x 12 = 48 months
Substituting all these into the above equation gives
\(A\text{ =15000( }\frac{0.0041667(1+0.0041667)^{48}}{(1+0.0041667)^{48}-1})\)\(A\text{ = 15000(}\frac{0.0041667(1.0041667)^{48}}{(1.0041667)^{48}-1})\)\(\begin{gathered} A\text{ = }15000(\frac{0.0041667\text{ }\times1.2208973}{1.2208973\text{ - 1}}) \\ A=\text{ 15000(}\frac{0.005087112781}{0.2208973}) \end{gathered}\)\(\begin{gathered} A=15000(0.023029311) \\ A=\text{ \$345.4396759} \end{gathered}\)So each month he pays $345.44 to the nearest cent
B)
The total interest for the loan is given by
Total amount paid over the total period of time - Original amount borrowed
Total amount paid over the total period of time = 345.44 x 48 months = $16581.12
The total interest of the loan hence = $16,581.12 - $15,000 = $1,581.12
The total loan interest to the nearest cent = $1,581.12
Complete the work shown to simplify the expression:
1. Distribute 5 through the parentheses:
5(−2x − 6)
5(−2x) − 5(6)
2. Simplify:
x − 30
Answers
Answer:
Step-by-step explanation:
1. 5(-2x-6)
-10x-30
If you want to find x, set this to 0
-10x-30=0 add 30 to both sides
-10x=30 divide by -10
x=-3
2. x-30 is simplified
Answer:
-10
Step-by-step explanation:
A mobile network company charges a monthly rate of $14.50 and an additional $0.30 a minute per call. A customer monthly bill was 22.60 how many minutes were charged on his bill
(please help it says show work i’m in middle of class right now i’ll give branliest)
Answers
Answer:
27!!
Step-by-step explanation:
1) Find out how much was spent on calls
To find out how much was spent one calls we just have to subtract the bills from the monthly rate
22.60 - 14.50 = 8.12) Find out how many calls were made
Each call costs $0.30 and $8.10 was sent on calls. To find out how many calls were cost we just need to divide them.
8.10 ÷ 0.30 = 27Meaning the customer made 27 calls!
Hope this helps, have a great day!
Area:
12 cm
Perimeter:
7cm
Answers
Answer:
Area = 84 cm^2
Perimeter = 38 cm
Step-by-step explanation:
The shape is a rectangle.
Area of the rectangle:
The formula for the area of a rectangle is given by:
A = lw, where
A is the area in units squared, l is the length,and w is the widthThus, we can plug in 7 for l and 12 for w to find A, the area of the rectangle in cm^2:
A = 7 * 12
A = 84
Thus, the area of the rectangle is 84 cm^2.
Perimeter of the rectangle:
The formula for the perimeter of a rectangle is given by:
P = 2l + 2w, where
P is the perimeter,l is the length,and w is the width.Thus, we can plug in 7 for l and 12 for w to find P, the perimeter of the rectangle in cm:
P = 2(7) + 2(12)
P = 14 + 24
P = 38
Thus, the perimeter of the rectangle is 38 cm.
A visualization technique to view a distribution of the popularity of words in a bag-of-words model is:
Answers
A visualization technique to view a distribution of the popularity of words in a bag-of-words model is a word cloud.
A common technique for visualizing the distribution of the popularity of words in a bag-of-words model is the word cloud.
A word cloud is a visual representation of text data, where the size and prominence of each word in the cloud correspond to its frequency or importance in the given dataset.Word clouds display the most frequently occurring words in a text or corpus, with the size of each word corresponding to its frequency. This allows users to quickly identify the most common words in a dataset and get a sense of the overall distribution of word frequencies. Another approach is to use a histogram, which displays the frequency of each word or group of words in a bar chart. This technique can help identify patterns in the distribution of word frequencies, such as whether the distribution is skewed or bimodal. Both word clouds and histograms can be useful tools for exploratory data analysis and can help researchers understand the characteristics of a text or corpus.Know more about the histogram
https://brainly.com/question/28164315
#SPJ11
A train from Philadelphia to Boston left Philadelphia at 1 pm and arrived to Boston at 4 pm. What was its average speed if the distance it covered was 270 miles?
Answers
Answer:
90 miles per hour is the average speed.
Step-by-step explanation:
The formula for Average Speed can be given as follows:
\(\text{Average Speed}= \dfrac{\text{Total Distance Traveled}} {\text{Total Time Taken}}\)
Here time taken is from 1 PM to 4 PM i.e.
Total Time taken = (4-1) hours = 3 hours
Also, it is given that the Total distance covered = 270 miles
As per the formula above:
\(\text{Average Speed} = \dfrac{270}{3}\\\Rightarrow \text{Average Speed} = 90\ miles/hour\)
So, answer is: 270 miles/ hour is the average speed of the train from Philadelphia to Boston.
Evaluate the expression
9^4 x 9^-4
(Problem 8 in photo. Thank you!)
Answers
Answer:
1
Step-by-step explanation:
using the rules of exponents
\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\) , \(a^{0}\) = 1 , then
\(9^{4}\) × \(9^{-4}\)
= \(9^{(4+(-4))}\)
= \(9^{(4-4)}\)
= \(9^{0}\)
= 1
Please help! *Excel Formulas* "Assume the compounding period suggested by the problem. Assume that payments are end of period payments" 6. Assume you are age 78 . You plan on living to age 100 . If you have $725,000 on which you can earn an APR of 6.25%, how much can you take out per month in order to completely exhaust your savings in 22 years assuming monthly compounding?
Answers
An initial amount of $725,000, an APR of 6.25%, and a desired time frame of 22 years, the monthly withdrawal amount would be approximately $4,491.95.
To calculate the monthly withdrawal amount that would completely exhaust your savings in 22 years, we can use the present value of an ordinary annuity formula. The present value (PV) represents the initial amount you have, the interest rate per period (i) is the monthly interest rate, and the number of periods (n) is the total number of months.
Here's the step-by-step calculation:
Convert the APR to a monthly interest rate:
Monthly interest rate (i) = Annual interest rate / Number of compounding periods per year
i = 6.25% / 12 = 0.0625 / 12 = 0.00521 (rounded to 5 decimal places)
Determine the total number of periods:
Total number of periods (n) = Number of years * Number of compounding periods per year
n = 22 * 12 = 264
Use the present value of an ordinary annuity formula to calculate the monthly withdrawal amount (PMT):
PMT = PV / [(1 - (1 + i)^(-n)) / i]
In this case, PV = $725,000
PMT = $725,000 / [(1 - (1 + 0.00521)^(-264)) / 0.00521]
Calculate the monthly withdrawal amount using a financial calculator or spreadsheet software:
PMT ≈ $4,491.95 (rounded to the nearest cent)
Therefore, you can withdraw approximately $4,491.95 per month to completely exhaust your savings in 22 years assuming monthly compounding.
Learn more about approximately here:
https://brainly.com/question/31695967
#SPJ11
Give Brainliest (need ASAP)
Answers
Answer:
-4, 2
Step-by-step explanation:
It's dividing by negative 2
Answer:
-8, 16 maybe sorry if wrong
Help please and thank you !! ill give brainle and 20 points !
Answers
Answer:
G 33%
Step-by-step explanation:
17/52 = 0.32692307692
0.32692307692 is about 33 %
Have a nice day! :)
i need help with this!!!
Answers
Answer:
every option but the first one
Step-by-step explanation:
5 and 7 are verticals meaning they have the same angle degree
7 and 4 are supplementary angles meaning the sum of them = 180
1 and 7 are corresponding meaning they have the same angle degree
What is the probability that Nathan scores three goals if he take six shots in the game .
Answers
He has a 50/50 chance, so three
.
Answer:
waaa waaa
Step-by-step explanation:
i wont to play fortnite but i can because i have home work :(
match each theoretical perspective to its representative classic study of education.
Answers
He argues that teachers and administrators often label students based on their behavior, appearance, or other factors, which can have a profound impact on students' self-perceptions and future opportunities.
Theoretical perspectives are perspectives that sociologists use to help them better understand and explain human social behavior.
These perspectives encompass various theories and approaches to the study of education.
The following is an overview of three major theoretical perspectives and their associated classic studies of education:
Functionalism perspective
The functionalist perspective is a theoretical approach that views society as a complex system composed of various parts that work together to maintain social order.
Functionalism is also known as structural functionalism.
According to functionalists, education plays an important role in society by providing students with necessary skills and knowledge to become productive members of society.
Classic study of education:
Durkheim's study of education in "The Division of Labor in Society."
In this classic study, Durkheim argues that education serves a crucial function in socializing young people into shared cultural values, beliefs, and norms.
According to symbolic interactionists, education is a process of social interaction in which students learn to make sense of the world around them.
Classic study of education: Becker's study of labeling in "Becoming a Marijuana User.
"In this classic study, Becker demonstrates how schools play an important role in shaping student identities.
For more related questions on administrators:
https://brainly.com/question/31843645
#SPJ8
If the nth term of A.P. are 7, 12, 17, 22.....is equal to the nth term of another A.P. 27, 30, 33, 36. Find the value of n?
Answers
Answer:
\(n = 11\)
Step-by-step explanation:
We are given two arithmetic sequences:
7, 12, 17, 22... and 27, 30, 33, 36...
And we want to determine n such that the nth term of each sequence is equivalent.
We can write a direct formula for each sequence. Recall that the direct formula for an arithmetic sequence is given by:
\(\displaystyle x_n = a + d(n-1)\)
Where a is the initial term and d is the common difference.
The first sequence has an initial term of 7 and a common difference of 5. Hence:
\(\displaystyle x_n = 7 + 5(n-1)\)
The second sequence has an initial term of 27 and a common difference of 3. Hence:
\(x_n = 27 + 3(n-1)\)
Set the two equations equal to each other:
\(7 + 5 (n-1) = 27 + 3(n-1)\)
Solve for n. Distribute:
\(7 + (5n - 5) = 27 + (3n - 3)\)
Combine like terms:
\(5n + 2 = 3n + 24\)
Isolate:
\(2n = 22\)
Divide. Hence:
\(n = 11\)
In conclusion, the 11th term of the first A.P. is equivalent to the 11th term of the second.
Lola is swimming laps in a pool. She swam the first lap in
33.4 seconds. She swam the second lap in 34.6 seconds.
How long did it take Lola to swim the two laps?
Answers
Answer:
33.4 + 34.6
Step-by-step explanation:
68 seconds in minutes that would be 1 minuet and 8 seconds