Answer:
13u
Step-by-step explanation:
These are like terms so you may combine them
4u+9u=13u
Answer:
they have the same variable, so we just add them together.
\(4u + 9u = 13u\)
Which of the values in the following data set would have a relative frequency of 30%? 10, 20, 20, 50, 30, 20, 10, 50, 60, 70
20 is the value in the given data set which have a relative frequency of 30%.
Given,
The data set as,
10, 20, 20, 50, 30, 20, 10, 50, 60, 70.
We have to find the value from the above given data set which have a relative frequency of 30%.
Relative frequency = (subgroup count / total count) × 100
Here, 20 is the most repeating value. So we can calculate with it.
There are three 20's in the set.
So, subgroup count = 3
Total count = 10
Then,
Relative frequency = (3/10) × 100 = 30
Hence, we can conclude that 20 is the value in the given data set which have a relative frequency of 30%
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Explain how to solve an equation of the form x p/q= a for nonzero integers x, p, q, and a. What is x in terms of a, p, and q? PLEASE PLEASE PLEASE DO NOT USE PICTURES. I CAN NOT SEE THEM ON THIS COMPUTER. Sorry if I sounded angry.
Answer:
is x multiplied by p/q??
18. A living room set lists for $2,400 and carries a trade discount of 30%. Freight charges are $200. Calculate the final price of the living room set.
A. $1,880
B. $1,800
C. $1,008 D. $8,100
Answer: The final price of the living room set is $1,880 (Option A)
Step-by-step explanation: Market price of living room set = $2400
Trade Discount offered= 30%
Therefore we deduct Trade Discount from the Market Price to arrive at the final price.
= 2400 - (2400*30%)
=2400-720
=1680
Freight charges incurred to bring an asset to use are added to the final price of the asset.
Therefore the Final Price = 1680+200
=$1,880
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What is 24% of 337.5?
Answer:
81
Step-by-step explanation:
24% × 337.5 =
(24 ÷ 100) × 337.5 =
(24 × 337.5) ÷ 100 =
8,100 ÷ 100 =
81;
Carrie has a 10-ft plank of wood. She wants to cut 3 pieces that are each 2 ⅔ feet long from the plank. How long will the plank be after she cuts off the three pieces?
Answer:
2ft
Step-by-step explanation:
(3)2 2/3= 8
10-8 = 2ft left
Subtraction is a mathematical operation that reflects the removal of things from a collection. The length of the plank after Carrie cuts off the three pieces is 2 ft.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
Given that Carrie has a 10-ft plank of wood. She wants to cut 3 pieces that are each 2 ⅔ feet long from the plank. Therefore, the length of the plank after she cut off the three pieces is,
Length of the plank afterward = 10ft - 2⅔ ft - 2⅔ ft - 2⅔ ft
= 10ft - 2.6667 ft - 2.6667 ft - 2.6667 ft
= 2 ft
Hence, the length of the plank after Carrie cuts off the three pieces is 2 ft.
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There is a mound of g pounds of gravel in a quarry. Throughout the day, 300 pounds of gravel is added to the mound. Two orders of 700 pounds are sold and the gravel is removed from the mound. At the end of the day, the mound has 1,100 pounds of gravel.
Answer:
g = g0 + 300 - 1400 = 1100 describes gravel present
g0 = 2200 pounds originally present
Check:
2200 + 300 - 1400 - gravel present at end of day = 1100 lbs
What is the probability of randomly picking an ace of hearts from a standard deck of playing cards? Assume there are no jokers in the deck.
A. 1/52
B. 3/52
C. 1/13
D. 1/4
The probability of picking an ace of hearts from a standard deck of playing cards is 1/52.
Consider a standard deck of cards.
We know that a standard deck of cards contains 52 cards.
So, total number of cards in the standard deck of cards = 52 cards
Now, we have to assume that there are no jokers in the set of cards.
We have to find the probability of picking an ace of hearts from a standard deck of playing cards.
For that we need to first find the number of cards which are ace of hearts.
Number of cards which are ace of hearts = 1
Probability of picking an ace of hearts from a standard deck of playing cards is,
P = Number of ace of hearts / Total number of cards
= 1/52
Hence the probability is 1/52.
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17 The table below shows the distance a car has traveled.
50
20
f
40
Minutes
Distance
Traveled
(in miles)
What is the meaning of the slope of the linear model for the data?
60
100
a) The car travels 5 miles every minute.
b) The car travels 4 miles every minute.
c) The car travels 4 miles every 5 minutes.
d) The car travels 5 miles every 4 minutes.
125
80
100
Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.
To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.
Minutes | Distance Traveled (in miles)
50 | 20
20 | f
40 | 60
100 | a
125 | 80
100 | 100
To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:
Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.
Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.
Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.
Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.
Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.
Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:
Slope = Distance Change / Time Change
= 20 miles / 25 minutes
= 0.8 miles per minute
So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.
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A rock falls from a tower that is 360 feet high. As it is falling, its height is given by the formula ℎ= 200 −162. How many seconds will it take for the rock to hit the ground (h=0)? Round to the nearest tenth of a second.
The time it will takes for the rock to hit the ground (h=0) given the height of 360 feet high is 3.53 seconds.
What is the time of falling?The concept that will be used in the calculation is the concept of height and time .
The formular for the expression is given as ℎ= 200 −16t^2
Then the height of the tower is been given as 360 feet high
ℎ= 200 −16t^2
then
t^2=200/16
t^2=12.5
t=3.53 seconds
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Use the graph to fill in the blank with the correct number.
f(1) = ________
Numerical Answers Expected!
Answer for Blank 1:
The value of f(1) by using the attached graph is f(1) = -2.
What is a graph?A collection of objects is arranged in a graph, where some object pairings are conceptually "linked." Each pair of connected vertices is referred to as an edge, and the objects are represented by mathematical abstractions known as vertices.
Given:
The graph shown in the question is representing the function value,
To find f(1) = ?
The value of f(1) will be equal to the value of x as the graph is linear so,
f(1) = value of y at x = 1
value of y at x = 1 = -2 (From the graph)
Thus, f(1) = -2.
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help me pls I’m stressing my finals
t_1=15 , t_n= 1/5 a_{n-1} describes the recursive function of the given function.
What is recursive function?A recursive function is one that generates a series of phrases by repeating or using its own prior term as input. The arithmetic-geometric sequence, which has words with a common difference between them, is typically the basis on which we learn about this function.
What is recursive rule?A recursive rule provides the first term or terms of a sequence and uses a recursive equation to show how each term relates to the term(s) before it. Sequences in mathematics and geometry, for instance, can be described recursively.
In given function by computing n= 1,2,3......n we will find the recursive relation and hence we concluded that t_1=15 , t_n= 1/5 a_{n-1} describes the recursive function of the given function.
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Find the volume of the shape
Answer:
Step-by-step explanation:
Volume = Length x Width x Height
L = 5 \(\frac{1}{2}\) ft W = 3 ft H = 6 \(\frac{1}{3}\) ft
5 \(\frac{1}{2}\) x 3 x 6 \(\frac{1}{3}\) = 104.5 or 104 \(\frac{1}{2}\)
Four students have interviews for summer internships. One is a first-year student, two are second-year students, and one is a third-year student. They are interviewed in the following order: third-year student, second-year student, first-year student, and second-year student. The following conditions apply:
Ashley interviewed after Carlos but before Brianna.
David interviewed before Carlos.
Brianna interviewed last.
Who is the first-year student?
Answer:
Ashley
Step-by-step explanation:
Lets understand the conditions.
Carlos < Ashley < Brianna
David < Carlos
Clearly, this tells us that David < Carlos < Ashley < Brianna, meaning the order is
David, Carlos, Ashley, Brianna
Since Ashley was interviewed third, she is the first year student
Cheers
Does anyone know how to do this if so pls help and explain the solution pls ! This is geometry btw
Consider lines AB and XY,
they intersect at the point P
Therefore,
AB and XY and interesting lines.
Intersecting lines give vertically opposite angles.
/ XPA and / YPB are vertically opposite angles
/ XPA~/ YPB as vertically opposite angles are equal.
fill in the blank. counting 67 colonies on a plate with 1ml of the 1:1,000,000 dilution indicates that___bacteria were present in 1ml of the original sample.
By applying the unitary method, counting 67 colonies on a plate with 1ml of the 1:1,000,000 dilution indicates that 67,000,000 bacteria were present in 1ml of the original sample.
The unitary method is a mathematical technique that involves finding a unit value and using it to solve problems. In this case, we need to determine the number of bacteria present in 1ml of the original sample.
The dilution factor represents the ratio of the volume of the original sample to the volume of the diluted sample. In this case, the dilution factor is 1:1,000,000, which means that 1ml of the original sample was diluted with 1,000,000ml of a diluent solution to obtain 1ml of the diluted sample. Therefore, the number of bacteria in the original sample is 1,000,000 times the number of bacteria in the diluted sample.
Now, let's use the colony count to determine the number of bacteria in the diluted sample. We are told that 67 colonies were counted on the plate with 1ml of the 1:1,000,000 dilution. This means that each colony represents the growth of a single bacterium in the diluted sample. Therefore, the number of bacteria in the diluted sample is 67.
Using the unitary method, we can now determine the number of bacteria in 1ml of the original sample. We know that the number of bacteria in the original sample is 1,000,000 times the number of bacteria in the diluted sample. Therefore:
Number of bacteria in original sample = Dilution factor x Number of bacteria in diluted sample
Number of bacteria in original sample = 1,000,000 x 67
Number of bacteria in original sample = 67,000,000
So, the answer is that 67,000,000 bacteria were present in 1ml of the original sample.
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Jason had a 15 foot long bed his sister had a 3 foot longer bed then Jason, How long is his sisters bed?
Answer:
18
Step-by-step explanation:
basic math :/
- left his house and drove to the store. He stopped and went inside. From he drove in the same direction until he got to the bank. He stopped and went the bank. Then he drove home. The graph below shows the number of blocks com home Connor is a minutes after he left his house, until he got back home.Connor left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Connor is a minutes after he left his house, until he got back home.
The graph shows that Connor traveled a total of seven blocks from his house to the store and then from the store to the bank.
What is graph?Graph is a data structure used to represent data in a visual way. It is composed of a set of nodes and edges, where each node represents an object and each edge represents a connection between two objects. Graphs can be used to represent a variety of data structures, such as a network of roads, a family tree, or a list of friends. Graphs are powerful tools for understanding complex relationships in data.
It also shows that he stayed at the store and the bank for five and seven minutes respectively. After leaving the bank, he drove the remaining four blocks back home.
The graph also reveals that Connor was driving at a steady pace between the store and the bank and that the total journey time was twenty-two minutes. This time could have been reduced if he had driven faster. However, it is possible that he was being cautious due to the traffic or other conditions.
Overall, the graph provides a visual representation of Connor's journey and his decisions along the way. It also provides insight into his driving habits, as well as his ability to manage his time. Based on this data, it is clear that Connor was able to complete his errands in an efficient manner.
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An entrepreneur invests in a new play. The cost includes an overhead of $33,750 plus production costs of $1700 per performance. A sold-out performance brings in $2325 . Assume every performance is sold out, and let x represent the number of sold-out performances.
The entrepreneur's revenue is $2325x, entrepreneur's cost is $33,750 + $1700x and entrepreneur's profit from x sold-out performances is $625x - $33,750
The entrepreneur's revenue from x sold-out performances is given by the formula:
Revenue = (Price per Performance) x (Number of Performances)
Revenue = $2325 x x
Revenue = $2325x
The entrepreneur's cost from x sold-out performances is given by the formula:
Cost = Overhead + (Production Cost per Performance) x (Number of Performances)
Cost = $33,750 + $1700x
The entrepreneur's profit from x sold-out performances is the revenue minus the cost:
Profit = Revenue - Cost
Profit = $2325x - ($33,750 + $1700x)
Profit = $625x - $33,750
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A.y-5=1/4(x-(-1))
B.y-(-1)=1/4(x-5)
C.y-5=-4(x-(-1))
D.y-(-1)=-4(x-5)
Answer:
A
Step-by-step explanation:
i am sure it's a y_5=1/4(x_(_1))
I’ll give brainliest Write an inequality that represents this situation below.
Your suitcase for vacation will fit at most 11 outfits you already have 5 packed
Answer:
Let x be the number of additional outfits.
5 + x < 11
Show mathematically why the ratio 15:10 is not equal to 10:15
Answer:
Hello here is my answer
Step-by-step explanation:
The 2 ratios are 15:10 and 10:15
multiply the numbers of the first ratio with the last number if the second ratio, which means,
15*15=225
10*15=150
we get 225:150
now we multiply the numbers of the second ratio with the last number if the first ratio.which means,
10*10=100
15*10= 150
now compare bot of them
225:150::100:150
we see that 225:150>100:150
hence proven that 15:10 is not equal to 10:15
Emma is ready to open a new checking account and is trying to decide between three banks using the chart below:
Need help with this question
I’ll report you if wrong
Step-by-step explanation:
Step 1: Graph the inequalities
x - 5y ≤ 2
x + y > 0
Look at the attachment:
Answer:
Look below for the graph
Explanation:
We need to graph
x + y > 0
x - 5y ≤ 2
Hope this helps
give brainliest if you please
Laura won a charity raffle. Her prize will be randomly selected from the 9 prizes shown below. The prizes include 4 rings, 3 cameras, and 2 headsets. Find the odds against Laura winning a camera. Find the odds in favor of Laura winning a camera.
The odds in favor of Laura winning a camera 1/3.
What are the odds in favor?
The ratio of favorable outcomes to bad outcomes is known as the odds of the probability of a specific event.
The ratio of positive outcomes to unfavorable outcomes determines the odds in favor of a specific event.
Odds against are determined by dividing the number of unfavorable results by the number of favorable results.
9 prizes consist of 4 rings, 3 cameras, and 2 headsets.
Odds in favor = ( Number of favorable outcomes/ Number of unfavorable outcomes)
The odds in favor of Laura winning a camera = 3/9= 1/3
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B) What is the cost of making 35 items?
And c. The domain
The cost of making 35 items is 1100 and the domain is (-∞,∞)
The cost of making 35 items :
x = 35plug the value into the cost equation
C(35) = 10(35) + 800
C(35) = 350 + 800
C(35) = 1100
Hence, cost of making 35 items is 1100
The domain of the functionSince the value of X can be any real number, we can plug in any real number for x and get a real number output.
Hence, the domain = (-∞,∞)
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answer
now
now
do it
Answer:
0.125
Step-by-step explanation:
Step-by-step explanation:
Given
\( \frac{7}{8} - \frac{1}{4} - \frac{1}{2} \\ = \frac{7 - 2 - 8}{8} \\ = \frac{ - 3}{8} \)
Hope it will help :)
PLEASE HURRY AND ANSWER!!!!
The probability that that arrow will land on the part labelled C after the first spin would be = 1/5.
How to calculate the probability of the chosen event?To calculate the probability of the chosen event, the formula for probability should be used which is given as follows:
Probability = possible outcome/ sample space
Where possible outcome = 2
sample space = A,B,B,B,C,C,D,D,D,E = 10
Therefore the probability that the arrow will land on the part labelled C after the first spin = 2/10 = 1/5.
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help please and thank you
Answer:
1) 9x
2) 3b
3) 3m
4) 5a
5) 7x
6) 3a + 5b
7) 9x - 4
8) 2b + m
9) 13a + b + 6c
10) 9b + 1
11) 7p
12) 2a + b -10
Step-by-step explanation:
Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
17157.28
Step-by-step explanation:
If we know that the volume of a sphere is equal to V=4/3πr3, then we can assume this.
The radius of the sphere is 16, so 16 cubed is 4096. 4096 x pi is 12867.96
12867.96 x 4/3 is 17157.28
the complement of 17% is what
Answer:
83%
Step-by-step explanation:
100%-17%=83%
i hope it helps