The expression (7/8) x (4/7) simplified to its simplest form is 1/2.
To simplify the expression (7/8) x (4/7), you can multiply the numerators together and the denominators together, and then simplify the resulting fraction if possible.
(7/8) x (4/7)
= (7 x 4) / (8 x 7)
= 28 / 56
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 28:
28 / 56
= (28 ÷ 28) / (56 ÷ 28)
= 1 / 2
Therefore, (7/8) x (4/7) simplified to its simplest form is 1/2.
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A tomato plant grows 24 inches tall in 10 weeks. If the rate remains the same, how tall would the plant be after 7 weeks?
Answer:
168 inches which is also 14 feet
State sales tax S is directly proportional to retail price p . An item that sells for 172 dollars has a sales tax of 12.32 dollars. Find a mathematical model that gives the amount of sales tax S in terms of the retail price p . Function: S ( p )
Answer:
[tex]s(p) =\frac{77p}{1075}[/tex]
Step-by-step explanation:
Given
s = sales tax
p = retail price
The variation is represented as:
[tex]s\ \alpha\ p[/tex]
s = 12.32 when p = 172.
Required: Determine function s(p)
[tex]s\ \alpha\ p[/tex]
Convert to equation
[tex]s = kp[/tex]
Where k is the constant of variation.
Make k the subject
[tex]k =\frac{s}{p}[/tex]
Substitute values for s and p
[tex]k =\frac{12.32}{172}[/tex]
Multiply by 100/200
[tex]k = \frac{1232}{17200}[/tex]
Simplify:
[tex]k =\frac{77}{1075}[/tex]
To get the function, we substitute 77/1075 for k in:[tex]s = kp[/tex]
[tex]s =\frac{77}{1075}p[/tex]
[tex]s =\frac{77p}{1075}[/tex]
Express as a function
[tex]s(p) =\frac{77p}{1075}[/tex]
please help!!
pic below
Answer:
A !
Step-by-step explanation:
1 +2 = 3
1 x 1 = 1
8 x 3 = 24 !!
3 1/24
i hope this helps !
Answer:
5/8
Step-by-step explanation:
What kind of growth model (pattern) is shown in the table?
X
1
2
3
4.
5
у
5
25
125
625
3,125
square root
linear
expggential
quadratic
Answer:
Step-by-step explanation:
exponential
The tickets for the school play are $7.00 for adults and $5.00 for students. There were 100 tickets sold. If the total profit was $550.00, how many of each were sold?
Answer:
25 adult tickets and 75 student tickets were sold.
Step-by-step explanation:
Given that the tickets for the school play are $ 7.00 for adults and $ 5.00 for students, and that there were 100 tickets sold generating a total profit of $ 550.00, to determine how many of each were sold the following calculation must be performed:
100 x 5 = 500
550 - 500 = 50
7 - 5 = 2
50/2 = 25
100 - 25 = 75
(25 x 7) + (75 x 5) = X
175 + 375 = 550
Therefore, 25 adult tickets and 75 student tickets were sold.
7. Use the Unit Circle to find the exact value of the trig function,
sin(180°)
Using your answer from #3, how many hours will
Victoria need to babysit if she raises her hourly
charge to $15 per hour and she still wants to
earn at least $75?
Answer:
5 hours cuz 75 divided by 15 is 5 or 15 x 5 is 75
If a number is multiplied by 7, the result is the same as when 25 is added
to twice the number. Find the number.
Answer:
Step-by-step explanation:
"a number is multiplied by 7" can be represented by 7x
"25 is added to twice the number" can be represented by 2x+25
7x = 2x+25
5x = 25
x = 5
The number is 5 if a number is multiplied by 7, the result is the same as when 25 is added to twice the number.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the number is x:
From the problem, we can model a linear equation in one variable.
7x = 2x + 25
5x = 25
x = 5
Thus, the number is 5 if a number is multiplied by 7, the result is the same as when 25 is added to twice the number.
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how do find the motion rule in dilation?
Answer: The Video Math Tutor. This is a great channel that provides several tutoring math videos covering different topics including Basic Math lessons,, calculator tips, brain teasers, and many more.
Step-by-step explanation:
Select all the expressions that are greater than 1
1/10 ÷ 3
2 2/3 ÷ 1 2/3
5/7 ÷ 1/2
12 ÷ 1/2
2/7 ÷ 3/7
The sum of a numbers is 40. Their difference is 14. What are the 2 numbers?
Answer:
13 and 27
Step-by-step explanation:
27-13=14
13+27=40
Data on U.S. work-related fatalities by cause follow (The World Almanac, 2012). Cause of Fatality Number of Fatalities Transportation incidents 1795 Assaults and violent acts 837 Contact with objects and equipment 741 Falls 645 Exposure to harmful substances or environments 404 Fires and explosions 113 Assume that a fatality will be randomly chosen from this population. Round your answers to four decimal places. a. What is the probability the fatality resulted from a fall
Answer:
0.1634 = 16.34% probability the fatality resulted from a fall
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
1795 + 837 + 741 + 645 + 404 + 113 = 4535 total fatalities.
Of those, 741 from falls.
741/4535 = 0.1634
0.1634 = 16.34% probability the fatality resulted from a fall
John sells appliances for a living. He sold a
dishwasher for $475. If he makes 20%
commission, how much money will he make?
Answer:
95$!
Step-by-step explanation:
475 x 20% = 95
Nathan has a bicycle where the wheels are have a 13 inch radius. He makes two revolutions. How far did he
travel?
Answer:
163.28 inches
Step-by-step explanation:
Find the circumference:
2π r
2 X 3.14 X 13
6.28 X 13
=81.64 inches.
81.64 X 2 =163.28 inches
HELP PLZZZZ !!!
An international company has 26,500 employees in one country. If this represents 31.9% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.
Answer
Step-by-step explanation:
PLEASE HELP IM DYING RN.
WHAT IS X? 6(x+2)=2(x-3)
Answer:
-9/2
Step-by-step explanation:
6(x+2)=2(x-3)
6x+12=2x-6
6x-2x+12=-6
4x+12=-6
4x=-6-12
4x=-18
x=-18/4
simplify
x=-9/2
Blake bought a new set of golf clubs. He found them at Golf Pro for $270. If the store is offering 20% off how much are the new clubs?
Answer:
216
Step-by-step explanation: 270-20%= 216
A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via e-mail. If it enters via the internet, the system detects it immediately with probability 0.6. If via e-mail, it is detected with probability 0.8. What percentage of times is this spyware detected
Answer:
This spyware is detected 66% of times.
Step-by-step explanation:
We have these following percentages:
Seventy percent of the time the spyware arrives via the internet, and in this case is detected 60% of the time.
Thirty percent of the time the spyware arrives via e-mail, and in this case is detected 80% of the time.
What percentage of times is this spyware detected
0.7*0.6 + 0.3*0.8 = 0.66
This spyware is detected 66% of times.
The value of 2^3 + 3^3 = .
Answer: (2^3) + 3^3
2^3 + 3^3
35
Step-by-step explanation:
you most likely just have to add 8 and 27 together im guessing
Mrs. Larson made 12 pillows from 16 yards of the same fabric how much fabric was used to make each pillow between what two whole numbers does your answer lie
Answer:The answer is given by :
[ The amount of material ] / [The number of pillows made ] = 16 / 12 = 4 /3 = ( 1 + 1/3 ) yds per pillow
So the answer lies between the integers 1 and 2
Step-by-step explanation:
An entrepreneur faces many bureaucratic and legal hurdles when starting a new business. The World Bank collects information about starting businesses throughout the world. They have determined the time, in days, to complete all of the procedures required to start a business. The data for business start time, in days, for a sample of 24 countries is given. Data Set
13 66 36 12 8 27 6 7 5 7 52 48
15 7 12 94 28 5 13 60 5 5 18 18
The total for the given data is 567 days.
Later, we realize that we had not included the data for the South American country of Suriname in the sample. The start time for Suriname is 694 days.
a) What is the mean of the sample data including the country of Suriname? Give your answer to two decimal place.
b) Find the median time to start a business for 24 countries in our data set:
c) Which measure do you prefer for describing the center of this distribution? Explain your answer.
d) Compute the quartiles (Q1, Q2, Q3), and find the IQR for these data. Are there outliers in the time to start a business data set? If so, identify and name any outliers.
e) Compute the standard deviation of time to start a business for 24 countries in the data set:
f) Which measure do you prefer for describing the spread of this distribution? Explain your answer.
g) Make a boxplot for these data and explain & describe the distribution using only the information in the boxplot.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
Rearranged data:
5, 5, 5, 5, 6, 7, 7, 7, 8, 12, 12, 13, 13, 15, 18, 18, 27, 28, 36, 48, 52, 60, 66, 94
Start time for Suriname = 694
Mean = ΣX / n
Mean = (567 + 694) / (24 + 1) = 1261 / 25 = 50.44
B.) median start Time for initial 24 values
0.5(n+1)th term
0.5(25) = 12.5th term
(13 + 13) / 2 = 13
C.) preferred measure of center for the distribution will be the median as it shapes well in the middle of the distribution. The mean is overestimated
d) Compute the quartiles (Q1, Q2, Q3), and find the IQR for these data. Are there outliers in the time to start a business data set? If so, identify and name any outliers.
Using calculator :
Lower quartile Q1 --> 7
Median Q2 --> 13
Upper quartile Q3 --> 42
IQR = (Q3 - Q1) = 42 - 7 = 35
OUTLIER:
Lower bound : Q1 - 1.5(IQR) ; 7 - 1.5(35) = - 45.5
Upper bound : Q3 + 1.5(IQR) = 42 + 1.5(35) = 94.5
Outlier : values below - 45.5 and above 94.5
Hence, Surimanes start time is the only Outlier.
e)
Standard deviation for 24 countries :
Standard deviation = sqrt[Σ(X - mean)^2 / (N - 1)]
Usibg calculator :
Standard deviation for the 24 countries is 23.83
f)
Standard deviation
Determine the domain of the following graph:
Answer:
the domain is
-1 less than or equal to X greater than or equal to 7
I don't have the signs so I just underlined where you would put the sign.
I hope this helps.
the difference of 44 and the square of n into a expression
Answer:
[tex]44-\sqrt{n}[/tex]
The number of tadpoles in a particular pond on March 1st of any particular year is Pn the population is modelled by the interactive formulae
The population is modelled by the interactive formulae Pn+1 = k(Pn+60)
Answer:
get them googel
Step-by-step explanation:
g(x) = -2x + 1
Find g(-7).
Answer:
g(-7) = -2(-7) + 1 = 15
Step-by-step explanation:
answer, show work, due today
Answer:
60%
Step-by-step explanation:
13.5/22.5
HELP FAST FAST FAST PLS ILL LOVE YOU FOREVER <3
Mr. Lewis showed his friend part of the prime factorization of 70. Fill in the missing factor.
2 x _ x 7
Answer:
5
Step-by-step explanation:
2x5x7=70
Georgia is 7 years younger than 5 times the age of her daughter, Veronica. Veronica will be 14 in 6 years. Part A
Write and evaluate an expression to show Veronica’s age.
Enter the correct answers in the boxes.
Answer:
Veronica's age now =8 years
Step-by-step explanation:
Veronica's age now = x years
Georgia's age now = 5x - 7
Veronica age after 6 year = 14
x + 6 = 14
x = 14 - 6
x = 8 years
Roberto has $200 in spending moneyHe wants to buy some video games that cost $25.50 eachWrite solve an inequality to find the number games, that Roberto can buy Enter your answer in the box
x>24 or x<24
Answer:
Roberto can buy 7 videogames.
Step-by-step explanation:
Given that Roberto has $ 200 in spending money and he wants to buy some video games that cost $ 25.50 each, to determine the number of games he can buy, the following inequality must be resolved:
25.50X = 200
X = 200 / 25.50
X = 7.84
Thus, since the whole number is 7, with $ 200 you can buy 7 video games, and there will be $ 21.5 (200 - 178.5) left over.
Solve this equation 1/4 x 10?
Answer: 2.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
Have a great day :)