Answer:
9/4
Step-by-step explanation:
1 2/7=9/7
2 1/3=7/3
--------------
9/7+7/3x+3/14+x=9
18/14+3/14+7/3x+3/3x=9
21/14+10/3x=9
10/3x=9-21/14
10/3x=9-3/2
10/3x=18/2-3/2
10/3x=15/2
x=(15/2)/(10/3)
x=(15/2)(3/10)
x=45/20
simplify
x=9/4
What is the bill of a house that consumed 1000 units of electricity,if the first 100 units are charged $10.00 per unit and the remaining units at $5.00 per unit?
Answer:
$14500
Step-by-step explanation:
$10 per unit means 1 unit is equivalent to 10 dollars.
∴Unit multiplier = \(\frac{10 dollars}{unit}\)
$5 per unit means 1 unit is equivalent to 5 dollars
∴Unit multiplier = \(\frac{5 dollars}{unit}\)
Remaining units = 1000 - 100 = 900 units
The unit multipliers are arranged in such a way that the "units” in the numerator and denominator will cancel each other out leaving us with “dollars” in the numerator. Our answer should be expressed in dollars
since the question requires us to calculate the bill
Bill of the House = Charge of first 100 units + Charge of remaining units
= (1000 units)(\(\frac{10dollars}{unit}\)) + [(900)units][\(\frac{5dollars}{unit}\)]
= $10000 + $4500
= $14500
Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h ( t ) = − 16 t 2 + 16 t + 480 h(t)=−16t 2 +16t+480, where t is the time in seconds and h is the height in feet. What was Jason's initial height?
Jason's initial height was 480 feet based on calculation using the given function and time.
The given function h(t) = -16t^2 + 16t + 480 models the height of Jason, who jumped off a cliff into the ocean in Acapulco while on vacation with his friends. To find his initial height, we need to find the value of h(0), which represents his height at time t = 0 seconds (i.e., when he jumped off the cliff). Substituting t = 0 in the given function, we get h(0) = 480. Therefore, Jason's initial height was 480 feet.
Knowing Jason's initial height is important in understanding his overall motion and the total distance he fell. It also helps to understand his velocity and acceleration during the fall. This information is useful for safety reasons and to study the mechanics of free fall. Additionally, this problem demonstrates the application of quadratic functions to real-life situations, such as modeling the trajectory of an object in motion.
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Write an algebraic expression for each verbal description. a number
!!please help me my assignment is due today at 9!!!
Thirty percent of the green house flowers are added to 25 ferns for the
school garden.
The algebraic expression is 0.3G+25F
What are algebraic expression?An algebraic expression is a sentence with a minimum of two numbers or variables and at least one mathematical operation.
First, we can use G to represent green house flowers and F to represent ferns.
Then thirty percent of the green house flower can be represented by 0.3G.
25 ferns can be written as 25F.
The algebraic expression for the given verbal description is 0.3G+25F.
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Write your answer as an integer or as a decimal rounded to the nearest tenth.
Applying the sine rule the value of side w is calculated to be 6.2
How to find the size of wThe size of w is calculated using the sine rule which states that the ratio of a side and the opposite angles are equal
the formula is
Sin A / a = Sin B / b = Sin C / c
applying the formula for the problem
Sine W / w = Sine X / x
plugging in the values
Sine 38 / w = Sine 84 / 10
cross multiplying
w = 10 x Sin 38 / Sine 84
x = 6.185
x = 6.2 to the nearest tenth
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I’ve been bad at math since Elementary, this is my last year of high school and I have to do it virtually with the no teacher. It’s hard for me right now, but I need to pass my last year. If anyone ones anything about odyssey ware or another website where people help each other please tell me~! I need all the help and prayers I can get this year. Thank you in advance~ ♡
Answer: I don’t know much but I still know some! If you ever need help reply to this comment please
Step-by-step explanation:
If a coin is flipped 10 times, what is the best prediction possible for the number of times it will land on tails
Answer:
5 times
Step-by-step explanation:
There is a 1/2 (50%) chance each time it is flipped that it will land on heads. Therefore, if flipped 10 times, 1/2 of 10 is 5
Does the following represent a function?
f = [ (3, -1), (2, 5), (4, -6), (3, 4), (5, -8) ]
Answer:
No, because 3 (domain) has two different ranges: -1 and 4.
Also, apply the vertical line rule.
Step-by-step explanation:
5+5+5+5+5+5+5+5+5+5+5+5
Answer:
60
Step-by-step explanation:
Answer:
it is 60
Step-by-step explanation:
Nelson lands 4650 on 2% interest rate. He plans to pay this after 2 months. What will the total principal and interest payment be?
The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.
To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.
First, let's find the interest amount:
Interest = Principal x Interest Rate x Time
Given:
Principal = $4650
Interest Rate = 2% per year
Time = 2 months
Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.
Interest = $4650 x 0.02 x (1/6) = $15.50
Now, we can calculate the total principal and interest payment:
Total Payment = Principal + Interest
Total Payment = $4650 + $15.50 = $4665.50
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Please answer immediately I beg.
A pyramid and a cone have the same base area and height. The volume
of the pyramid is 175m³. What is the volume of the one? Explain your answer.
The volume of cone is 175 m³
Firstly,
Volume of Pyramid.
The volume (V) of a pyramid is
V = ⅓Ah
Data:
V = 175m³
Calculation:
175 = ⅓× A× h
Ah = 175*3
Ah = 525m³
Secondly,
The volume (V) of a cone is
V = ⅓Ah
Data:
Ah = 525 m³
Calculation:
V = ⅓ A× h
V = 175 m³
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Part C
Find the average and margin of error for each of the following: the entire sample, 1950s records, 1960s records, 1970s records, Company A records, Company B records, and Company C records.
Part D
An oil embargo in the 1970s made vinyl more expensive, which some collectors say caused a decrease in average vinyl weight from 1970 onward. Do the data support this claim? Why or why not? Be sure to discuss averages, margins of error, and anything else that is relevant in your answer.
The average is 40 and the margin of error is 10.95.
What is margin of error?
The margin of error is a statistic expressing the amount of random sampling in the result of a survey.
Average (A) = sum of all the value/ given set.
A = (51+ 41 + 28)/3 = 40
margin of error = 100/square root of 120 = 10.95.
Therefore, the average is 40 and the margin of error is 10.95.
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On a number line, 7.05 would be located Choose all answers that make a true statement.
7.05
A. between 8 and 9
B. to the right of 7.02
C. to the left of 7.08
D. between 8.0 and 8.1
On a number line, 7.05 would be located
B. to the right of 7.02C. to the left of 7.08How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
Number = 7.05
The analysis of its position s as follows:
A. between 8 and 9: False. 7.05 is to the left of 8 and is not between 8 and 9.B. to the right of 7.02: True. 7.05 is greater than 7.02, so it is to the right of 7.02 on the number line.C. to the left of 7.08: True. 7.05 is less than 7.08, so it is to the left of 7.08 on the number line.D. between 8.0 and 8.1: False. 7.05 is not between 8.0 and 8.1.So, the true statements are B and C.
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(-6,2)(2,-4) standard form
Answer:
3x+4y=−10
Step-by-step explanation:
(-6,2)(2,-4)
Write using the formula for the standard form.
If the lower class limit of a class is 12 and the class width is 9, then the upper class limit is equal to
As a result of answering the given question, we may state that As a expressions result, the upper class limit is 20.
what is expression ?An expression in mathematics is a collection of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, exponentiation, and so on) that express a quantity or value. Expressions might be as basic as "3 + 4" or as complex as "(3x2 - 2) / (x + 1)". They may also contain functions like "sin(x)" or "log(y)". Expressions can be evaluated by substituting values for the variables and performing the mathematical operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complex mathematical issues.
Add the class width to the lower class limit and subtract one to find the higher class limit.
So,
Lower Class Limit + Class Width - 1 = 12 + 9 - 1 = 20
As a result, the upper class limit is 20.
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Divya is painting a room. She uses 3/4 gallon of paint to cover 1/5 of a wall. If the walls are all the same size how much paint will she need to cover one wall?
Answer: 3 3/4
Step-by-step explanation: brainliest plsss
What is the area of this polygon? Im really bad a geometry so can I have help please.
What is the mean of 14, 6, 4, 12
Answer:
9
Step-by-step explanation:
--- point (MC) 8 9 What is the value of m in the equation? 239 - 7 = m - 2
Answer:
m=234
Step-by-step explanation:
239-7=232
The equation now looks like this:
232=m-2
Add 2 on both sides:
m=234
Hope this helps!
the population of city A is eighty-four thousand two hundred-six. The population of city B is represented by the expression 80,000 + 4000 + 200 + 10 + 6. Write an expression using <,> or = to compare the population of City A and City B. Explain how you know the answer is correct.
The population of city A is eighty-four thousand two hundred-six. The population of city B is represented by the expression 80,000 + 4000 + 200 + 10 + 6 therefore an expression using <,> or = to compare the population of City A and City B is that City A < City B.
What is Population?This is referred to as the total number of people or species living together in a particular place at a given point in time.
The population of city B is represented by the expression 80,000 + 4000 + 200 + 10 + 6 = 84,216 while that of city A is eighty-four thousand two hundred-six is 84,206 which therefore means that city A is lesser than city B and is therefore denoted as City A < City B.
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Greg is a swimmer. He practices 1.3 hours on Monday, 11/2 hour on Tuesday and 2 hours on Saturday. How many hours will he practices if he keeps this scheduled for 2 weeks?
Answer:
7 hours 40 minutes in 2 weeks
Step-by-step explanation:
1.3 - 1 hour 20 minutes
1.5 - 1 and a half hours
2hours
add them all toghether = 3 hours 50 minutes
3 hours 50 minutes times 2 (2 weeks) = 7 hours 40 minutes
Read the following prompt and type your response in the space provided. A comparative dot plot is shown for the points scored in a game by the members of two groups. Comparative dot plot. Number line from 41 to 59 for Group A. There is one dot above 41, two dots above 44, three dots above 45, one dot above 46, four dots above 47, two dots above 48, one dot above 49, and one dot above 50. Number line from 41 to 59 for Group B. There is one dot above 41, four dots above 42, five dots above 43, two dots above 44, one dot above 46, one dot above 47, two dots above 49, and three dots above 50. Compare the measures of spread for the two groups.
In terms of measures of spread, Group B has a wider IQR than Group A
The comparative dot plots show the points scored in a game by two groups, Group A and Group B. Both groups have a similar spread, with most of the dots clustered around the middle of the distribution. However, there are some differences in the tails of the distribution that affect the measures of spread.
For Group A, the lowest score is 41, and the highest score is 50. The interquartile range (IQR), which is the range containing 50% of the scores, is approximately from 45 to 48. The range, which is the difference between the highest and lowest scores, is 9.
For Group B, the lowest score is 41, and the highest score is 50. The interquartile range (IQR) is approximately from 43 to 49. The range is also 9.
This indicates that Group B has a more variable distribution of scores within the middle 50% of the distribution, indicating a more variable distribution of scores within the middle.
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what percent of 75 is 57?
Answer:
76%
Step-by-step explanation:
57/75
(57 X 100)/ 75
5700/75
1900/25
76/1
76
A scale drawing of a square has a side length of 5 centimeters. The drawing has a scale of 1 cm : 5 ft. Find the actual perimeter and area of the square.
area =729 feet square and perimeter = 108 feet
Given the side of a square is 9 cm.
The scale is given as :
1 cm = 3 feet Since 1 cm represents 3 feet.
Therefore, 9 cm will represent = 9 x 3 feet= 27 feet
So the side of the square is 27 feet.Therefore, its area = Side x side= 27 x 27 = 729 feet square
And the perimeter = 4 x side= 4 x 27= 108 feet
What is perimeter?In the conventional system of measurement, an inch is a unit of length. Either in or " can be used to represent length in inches. For instance, 16 in or 16" can be used to write 5 inches. In both the British imperial and American customary systems of measurement, the inch serves as a unit of length. It is equivalent to 1/12 of a foot or 1/36 of a yard. a unit of length that is equivalent to 1/12 foot, or 2.54 centimeters, in length. In the conventional system of measurement, an inch is a unit of length. Either in or " can be used to represent length in inches.To learn more about perimeter refer to:
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A survey was done to see if the city should put in another disc golf course. The survey results showed that 25 out of 200 people played disc golf. The city's population is 25,000. Using the survey results, what is predicted amount of people in the city who play disc golf?
Answer:
3,125
Step-by-step explanation:
25 out of 200 is 12.5%
and 12.5% of 25,000 is 3,125
(I'm not sure)
(4₊√₋81)₋(9₊√₋9) i cant resolve this equation. thanks for help
The question can't be solved because we can't have negative sign under square root
Answer:
-5 +6i
Step-by-step explanation:
Square roots of negative numbers are imaginary. This is asking for the difference of two complex numbers. A suitable calculator can show you what that is.
__
simplify radicalsWe know that √(-1) ≜ i. This means the radicals can be simplified to ...
\(\sqrt{-81}=\sqrt{9^2(-1)}=9\sqrt{-1}=9i\\\\\sqrt{-9}=\sqrt{3^2(-1)}=3\sqrt{-1}=3i\)
So the expression becomes ...
(4 +9i) -(9 +3i)
combine termsLike terms can be combined in the usual way. For the purpose here, i can be treated as though it were a variable.
(4 +9i) -(9 +3i) = 4 +9i -9 -3i
= (4 -9) +(9 -3)i
= -5 +6i
solve |x|>4
A. {x|-4
B. {-4, 4}
C. {x|x<-4 or x>4}
Answer:
C
Step-by-step explanation:
|x|>4 => -x> 4 or x> 4
<=> x<-4 and x>4
Goran is riding his bike. The number of revolutions his wheels make varies directly with the distance he travels. See the graph below.
Answer: Add a graph and I'll answer it.
f(x) = x^2 What is g(x)?
A. g(x) = - x^2 -2
B.g(x) = x^2 - 2
C. g(x) = - 2x^2
D. g(x) = - x^2
Answer:
The answer is letter C.
Step-by-step explanation:
i hope it helped
Answer:
A. g(x) = - x^2 -2
Step-by-step explanation:
Given that A and I are the centers of the congruent circles shown below, compare the quantity in column A with the quantity in column B. Choose the best answer. The quantity in column A is greater. The quantity in column B is greater. The two quantities are equal. The relationship cannot be determined from the information given.
Answer: The two quantities are equal
Step-by-step explanation:
Edge2021
C. The two quantities are equal
Step-by-step explanation:
Edge 2020 2021
In ΔGHI, i = 84 inches, g = 82 inches and ∠H=17°. Find the length of h, to the nearest inch.
Answer:
25 inches
Step-by-step explanation:
Use law of cosine:
c² = a² + b² − 2ab cos C
h² = (84)² + (82)² − 2(84)(82) cos 17°
h = 24.6
Rounded to the nearest inch, h is 25 inches.