This sentence relating to the quotient can be expressed mathematically as:
(30 / x) - 2
What is the explanation for the above response?
This sentence can be expressed mathematically as:
(30 / x) - 2
where x represents the unknown number.
The word "quotient" indicates that we are dividing 30 by the unknown number x. The phrase "is decreased by 2" means that we need to subtract 2 from the quotient.
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Decide if each statement below is
true or false.
45 tens is equal to 450.
12.3 is equal to 123 ones.
80 tens is greater than 6 hundreds.
43,200 is less than 50 thousands.
60 hundreds = 6,000
(a) 45 tens is equal to 450. :- True
(b) 12.3 is equal to 123 ones. :- True
(c) 80 tens is greater than 6 hundreds. :- True
(d) 43,200 is less than 50 thousands. :- True
(e) 60 hundreds = 6,000 :- True
Consider the first statement,
45 tens are equal to 450
So, 45 tens mean 45 times 10 is written as:
45 × 10 = 450
Hence, it's true.
Consider the second statement,
12.3 is equal to 123 ones.
Now, 123 ones is equal to 123 times 1.
123 × 1 = 123
Hence, the statement is true.
Consider the third statement,
80 tens is greater than 6 hundreds.
Now 80 tens = 80 × 10 = 800
Now, 6 hundreds = 6 × 100 = 600
Now, 800 > 600
Hence, the statement is true.
Consider the fourth statement.
43,200 is less than 50 thousands.
Now, 50 thousands = 50 × 1000 = 50,000
We know,
50,000 > 43,200
Therefore, the statement is true.
Consider the fifth statement,
60 hundreds = 6000
Now, 60 hundreds = 60 × 100 = 6000
Therefore, the statement is true.
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0.445 to a fraction in simplest form and a percent.
Answer:
0.445 as a fraction in simplest form: 89/200
0.445 as a percent: 44.5%
Step-by-step explanation:
The reciprocal of h.C.F and lcm of two number are 1/12 and 1/312 respectively. If one of the number is 24. Find the other number?
The other number is 156.
Let a and b be two numbers, with a = 24.
We know that the product of two numbers' HCF and LCM is equal to the product of the two numbers.
So, we have:
HCF × LCM = a × b
We are given that the reciprocal of HCF is 1/12.
So, HCF = 1 / (1/12) = 12.
We are also given that the reciprocal of LCM is 1/312.
So, LCM = 1 / (1/312) = 312.
12 × 312 = 24 × b
Simplifying, we get:
b = (12 × 312) / 24 = 156
Therefore, the other number is 156.
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You earn 3653 points in level 1 of a video game and
2375 points in level 2. After level 3, your point total is
8876. Write an equation you can use to find the
number of points (p) you scored in level 3.
Answer:
8876-(3653 +2375)
Step-by-step explanation:
So your total is 8876. On the first and the second level of the game you scored 3653 and 2375. But when you where done playing the third level your total from all of the levels ended up to be 8876. So if you wanted to find how much points you got on level 3, then you would add 3653 + 2375, then suntract the total of that from 8876.
(Hope this helps)
Yours Truely, TheAnimeCatUwU
Question 2 of 10
What is the solution to this equation?
x + 19 = 26
O A. x= 17
B. x= 5
C. x= 7
ОО
O D. x = 45
SUBMIT
Answer:
x=26-19
=7
Your answer is 7
Need help please hurry!!!
Answer:
the answer is 16000
because 4 × 3848 is the best estimate for 16000 its nearby 15 k
hopefully its correct
Answer:
In an hour the factory makes 3848 pencils
In four hours the factory will make four times as much
=4×3848=15392 pencils
the best estimate is 16000 pencils
A one-way trolley ticket to Old Town costs 3.50. How much will it cost for Ahyeon and three friends to ride to Old Town and home again?
Answer:
$28
Step-by-step explanation:
Each round trip will be double the price of a one-way trip, so will be ...
2 × $3.50 = $7.00
Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...
4 × $7.00 = $28.00
Which statement represents the expression?
24−8÷4
A.24 minus 8 divided by 4
B.the difference of 24 and 8 divided by 4
C.24 minus the quotient of 8 divided by 4
D.24 minus 4 divided by 8
Answer:
Which statement represents the expression?
24−8÷4
A. 24 minus 8 divided by 4
B. the difference of 24 and 8 divided by 4
C. 24 minus the quotient of 8 divided by 4
D. 24 minus 4 divided by 8
The answer is a. 24 minus 8 divided by 4
-----------------------------------
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The length of a radius of a circle, measured in feet, is represented by the expression z + 3.6. The diameter of the circle is 11 4/5 ft.
What is the value of z?
Enter your answer as a decimal or mixed number in simplest form in the box.
The value of z in the circle is 2.3 units
How to determine the value of z in the circleIn the question, the following statements represents the given parameters
The length of a radius of a circle is represented by the expression z + 3.6. The given circle diameter is 11 4/5 ft.As a general rule, the diameter of a circle is the radius doubled
So, we have
2 * (z + 3.6) = 11 4/5
Express as decimal
2 * (z + 3.6) = 11.8
So, we have
z + 3.6 = 5.9
Evaluate the like terms
z = 2.3
Hence, the value of z is 2.3
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Write a multiplication sentence to show how 10 gallons and 300 miles are related. How are 5 gallons ad 150 miles related? How are 1 gallon and 30 miles related?
Answer:
It shows for each gallon consumed, we multiply by 30 to get the amount of miles
This applies for the three questions
Step-by-step explanation:
10 gallons and 300 miles are related in such a way that you divide the number if miles by number of gallons.
300/10 = 30 miles per gallon.
It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.
5 gallons ad 150 miles related in such a way that you divide the number if miles by number of gallons.
150/5 = 30 miles per gallon.
It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.
1 gallon and 30 miles related in such a way that you divide the number if miles by number of gallons.
30/1= 30 miles per gallon.
It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.
Type the correct answer in the box. Use numerals instead of words.
What is the length of the diagonal shown in the rectangular prism? Round your answer to the nearest tenth.
7 ft
5 ft
4 ft
Answer:
The formula for the length of the diagonal of a right rectangular prism = √(l2 + w2 + h2) units.
which of the following pairs of variables is likely to have a negative correlation? check all that apply.
The two variables to have a negative correlation are x and y.
Negative correlation is the relationship where x grows as y decreases.
Given,
Here, negative correlation is used to describe the relationship between two variables that results in independent variables moving in one direction while dependent variables move in another.
Positive correlation
Positive correlation is when the value of the variable x rises as the value of the variable y rises.
Negative Correlation
Negative correlation is the relationship where x grows as y decreases.
No correlation
No correlation exists between the two variables.
That example, the term "no-correlation" refers to the absence of a connection between two variables.
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The question is improper. Proper question is given below;
What two variables are likely to have a negative correlation
Which of the following measure is most affected by extremely large or small values in the data set?
A. interquartile range
B. mode
C. range
The measure that is most affected by extremely large or small values in the data set is the range. The correct option is C
What is a range?
The range is calculated by subtracting the smallest value in the data set from the largest value in the data set. If there are extremely large or small values in the data set, the range will be skewed and not representative of the spread of the majority of the data.
The interquartile range (IQR) is less affected by extreme values because it only considers the middle 50% of the data, specifically the difference between the third quartile and the first quartile.
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A 5-pound bag of potatoes costs $3.95 at the grocery store. What is the priceper pound? *Your answer
Answer
Price per pound = $0.79
Explanation
5-pound bag of potatoes costs $3.95
Price per pound = (3.95/5) = $0.79
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Which of the following is the number if sides a polygon can have to form a regular tessallation?
A. 5
B. 9
C. 3
D. 7
None of the options is true.
Three Different, Regular tessellation is formed 1. if we join regular polygons of side 3, called equilateral triangle,2. Regular polygon of side 4, called Square, and 3. Regular polygon of side,6 called hexagon,
to form a pattern.
What is the polygon?A polygon is said to be regular if all interior angles and all sides are equal.
The regular polygon of side 3, when joined together can be named: 3.3.3.
The regular polygon of side 4, when joined together can be named 4.4.4.
The regular polygon of side 6, when joined together can be named 6.6.6.
So, a regular tessellation is formed, from a regular polygon having,3,4, and 6 Sides.
None of the sides of the polygon, which is given in the option, can be used to form a regular tessellation.
None of the options is true.
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A carnival charges $6 for admission and $2.50 per ride. You have $50 to spend at the carnival. Which of the following inequalities represents the situation if r is the number of rides?
Answer:
\(6+2.5r\leq 50\)
Step-by-step explanation:
Hi!
The options regarding the inequalities are not listed, though we can still proceed to write the inequality.
From the problem statement you cannot spend more than $50
and you are charged admission fee of $6 flat
a ride cost $2.50 per ride
the number of rides is given as r
yet in all you must not go beyond your limit
Therefore the inequalities can be presented as
\(6+2.5r\leq 50\)
Answer:
2.5r + 6 ≤ 50
Step-by-step explanation:
Two things that WILL change every time you draw a normal distribution curve for a problem are:
Answer:
The "Bell Curve" is a Normal Distribution. follows it closely, but not perfectly (which is usual). because it looks like a bell. Many things closely follow a Normal Distribution: We say the data is "normally distributed":
Step-by-step explanation:
Answer:
Your most likely answer: Shape + position (if it is talking about the general curve)
Mean + Standard deviation (if it is talking about the parameters)
If it is talking about using a normal distribution to find probability, then the things that change are the side of interest + the test statistic.
The angle, in degrees, at which a batter hits a baseball can affect the distance the ball
travels, in feet. The function B(x) = -0.2x² + 14x - 21 models the distance the baseball
travels in ft. depending on the angle, in degrees, at which the ball is hit.
What does the Variable x represent? Include the units.
What does the variable y represent? Include the units.
Interpret the y-intercept. Include units.
The variable x represents the angle at which the baseball is hit in degrees.
The variable y represents the baseball's distance traveled in feet.
The y-intercept of the function B(x) reflects the distance traveled by the baseball when it is struck at a 0 degree angle, i.e. directly horizontally.
How to explain the functionThe distance traveled in this situation is given by:
B(0) = -0.2(0)² + 14(0) - 21 = -21
As a result, the y-intercept is -21 feet, indicating that if the baseball is hit horizontally, it will travel 21 feet backwards. However, because a baseball cannot be hit horizontally, the y-intercept is not a useful value.
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Suppose that the function g is defined, for all real numbers, as follows. Find g(-5) ,g (-2), and g(-1)
If the function g(x) is defined for all real-numbers, then the value of g(-5) is 7/2, g(-2) is -1 and g(-1) is 0.
A piecewise function is a function that is defined by different rules or formulas on different parts of its domain. The piecewise function "g(x)" is given as :
g(x) = {-(1/2)x + 1, for x<-2
= {-(x+1)², for -2≤x≤1
= {4 for x>1
We have to find the value of g(-5) ,g (-2), and g(-1),
For x = -5, the number -5 is less than -2, so the first function "-(1/2)x + 1" will be used,
⇒ g(-5) = -(1/2)(-5) + 1 = 5/2 + 1 = 7/2,
For x = -2, the number -2 lies in the interval "-2≤x≤1", so second function
"-(x+1)²" will be used,
⇒ g(-2) = -(x+1)² = -(-2+1)² = -(-1)² = -1,
For x = -1, the number -1 lies inn the interval "-2≤x≤1", so second function "-(x+1)²" will be used,
⇒ g(-1) = -(x+1)² = -(-1+1)² = -(0)² = 0,
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answer the following questions in the picture
a. The chart is prepared below.
b. At the end of 4 years, Ross still owes his parents $1,576.92.
How to calculate interest ?To solve this problem, we need to calculate the balance of Ross's loan at the end of each year.
The balance for each year can be calculated by subtracting the yearly payment from the balance at the beginning of the year and adding the interest earned for the year.
The interest for each year is calculated by multiplying the balance at the beginning of the year by the annual interest rate of 3.2%.
Here are the steps for calculating the balance for each year:
Year 1:
Beginning balance = $2,500.00
Interest for the year = $2,500.00 x 0.032 = $80.00
Ending balance = $2,500.00 + $80.00 - $300.00 = $2,280.00
Year 2:
Beginning balance = $2,280.00
Interest for the year = $2,280.00 x 0.032 = $72.96
Ending balance = $2,280.00 + $72.96 - $300.00 = $2,052.96
Year 3:
Beginning balance = $2,052.96
Interest for the year = $2,052.96 x 0.032 = $65.76
Ending balance = $2,052.96 + $65.76 - $300.00 = $1,818.72
Year 4:
Beginning balance = $1,818.72
Interest for the year = $1,818.72 x 0.032 = $58.20
Ending balance = $1,818.72 + $58.20 - $300.00 = $1,576.92
Here's a table that shows the details:
Year ,principal ,Interest rate, interest, Payment ,annual owing
1 $2,500.00 $80.00 $300.00 $2,280.00
2 $2,280.00 $72.96 $300.00 $2,052.96
3 $2,052.96 $65.76 $300.00 $1,818.72
4 $1,818.72 $58.20 $300.00 $1,576.92
b. At the end of 4 years, Ross still owes his parents $1,576.92.
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Match each multiplication expression on the left with the best estimate of its product on the right. (80)(30) = 2,400 29.3 x 5.9 81.4 x 32.1 32.9 x 4.81 46.7 x 31.7 59.3 x 3.57 (30)(6) = 180 (30)(5) = 150 (60)(4) = 240 (50)(30) = 1,500 Done
Here is the final matching of multiplication expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9 ≈ 173
81.4 x 32.1 ≈ 2,618
32.9 x 4.81 ≈ 158
46.7 x 31.7 ≈ 1,479
59.3 x 3.57 ≈ 212
Match each multiplication expression on the left with the best estimate of its product on the right:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9
81.4 x 32.1
32.9 x 4.81
46.7 x 31.7
59.3 x 3.57
Matching the expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
Estimates for the remaining expressions:
29.3 x 5.9 ≈ 173.27
81.4 x 32.1 ≈ 2,612.94
32.9 x 4.81 ≈ 158.05
46.7 x 31.7 ≈ 1,480.39
59.3 x 3.57 ≈ 211.46
Matching the expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9 ≈ 173.27
81.4 x 32.1 ≈ 2,612.94
32.9 x 4.81 ≈ 158.05
46.7 x 31.7 ≈ 1,480.39
59.3 x 3.57 ≈ 211.46
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if 3 -letter words'' are formed using the letters a, b, c, d, e, f, g, how many such words are possible for each of the following conditions:
The possible number of 3 -letter words that can be formed with given conditions.
(a) No condition is imposed: 343
(b) No letter can be repeated in a word: 210
(c) Each word must begin with the letter 'a' : 49
(d) The letter 'c' must be at the end: 49
(e) The second letter must be a vowel: 98
In this question we have been given that 3 -letter words' are formed using the letters a, b, c, d, e, f, g.
We need to find the possible number of 3 -letter words that can be formed with given conditions.
(a) No condition is imposed.
the possible number of 3 letters words would be,
7³ = 343
(b) No letter can be repeated in a word.
Using the formula of Permutation,
^{7}P_3 = 7!/(7 - 3)!
= 210
(c) Each word must begin with the letter a.
If each word begins with letter 'a' there would be possible combinations of remaining 6 letters at 2nd and 3rd position of 3-letter word.
So, the possible number of 3 letters words would be,
7² = 49
(d) The letter c must be at the end.
If each word ends with letter c there would be possible combinations of remaining 6 letters at 1st and 2nd position of 3-letter word.
So, the possible number of 3 letters words would be,
7² = 49
(e) The second letter must be a vowel.
In the 3 letter word, the second letter must be vowel which is either a or e.
So, the possible number of 3 letters words would be,
49 + 49 = 98
Therefore, the possible number of words would be (a) No condition is imposed: 343
(b) No letter can be repeated in a word: 210
(c) Each word must begin with the letter 'a' : 49
(d) The letter 'c' must be at the end: 49
(e) The second letter must be a vowel: 98
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The complete question is:
3 -letter words'' are formed using the letters a, b, c, d, e, f, g. How many such words are possible for each of the following conditions?
(a) No condition is imposed.
(b) No letter can be repeated in a word.
(c) Each word must begin with the letter a.
(d) The letter c must be at the end.
(e) The second letter must be a vowel.
please help!
The names of the days of the week are written on seven separate slips of paper in a bag. You pull one slip out. Describe the theoretical probability of it being a weekday.
Answer:
5/7
Step-by-step explanation:
There are 7 different days of the week.
5 are weekdays: Monday, Tuesday, Wednesday, Thursday, Friday
2 are weekend days, which are not weekdays: Saturday, Sunday
p(event) = (number of desired outcomes)/(total number of possible outcomes)
The desired outcomes are all the weekdays. There are 5 of them, so the number of desired outcomes is 5.
The total number of possible outcomes is 7 since there are 7 different days in a week.
p(weekday) = 5/7
It takes 20 minutes to cut a log into 5 equal-size pieces. How long will it take to cut a similar log into 3 equal-size pieces
Answer:
30mins
Step-by-step explanation:
Answer:
12 minutes
Step-by-step explanation:
20/5=4
3*4=12
3. A drawer contains several loose socks, each sock is only blue or black. You have to grab
socks out of the drawer in the dark, so as not to wake your partner. What is the minimum
number of socks you must pull out to be sure you have two of the same color?
Reason:
You could get lucky to pull out 2 blue socks or 2 black socks in a row. But you could also get unlucky to have 1 blue + 1 black, or the other way around.
That third sock selected will guarantee you picked at least 2 of the same color. This is simply because there aren't any other colors left to pick from.
For more information, check out the Pigeonhole Principle.
Let us denote by P the set of all people, by S the set of people who are single, by C the set of people who have children, by W the set of women and by M the set of men. For each question below, write down an expression that represents the set being described. Write exactly one expression for each question.
a. Women who are either married with children, or single and do not have children.
b. All possible married heterosexual couples, i.e., all possible pairings of married men and married women.
c. The number of all possible married heterosexual couples.
Solution :
Given :
The events are as follows :
P : Set of all the people
S : Set of people those who are single
C : Set of people having children
W : Set of women
M : Set of men
a). Now set of married women having children is given by :
\($\left( (P-S)-M \right) \cap C $\)
And set of single women who do not have any children : (S -C) - M
Thus the set of women those who are either married and have children or they are single and they do not have any children is represented by :
\($\left( (S-C)-M\right) \cup \left( ((P-S)-M) \cap C \right) $\)
b). Set of Married men : \($\left( (P-S) \cap M$\)
Set of Married men : \($\left( (P-S) \cap W$\)
Set of all possible married who are heterosexual couples, that is, all possible pairings of the married men and the married women is represented by :
\($((P-S) \cap M) \cap ((P-S) \cap W )$\)
c). The number of all the possible married heterosexual couples will be represented by the cardinality of the above set, which represents the number of the elements in the set.
Thus the number of the married heterosexual couples is given by :
\($n[((P-S) \cap M) \cap ((P-S) \cap W)]$\)
Christina is finding the values of x that make the following equation true.
Given
\(\tan^2(\frac{x}{2})+2\tan(\frac{x}{2})-5=3\tan(\frac{x}{2})\)Find
Value of x that makes the equation true and what step will she take first
Explanation
to find the value of x , the first step we use
subtract
\(3\tan(\frac{x}{2})\)from both sides
on subtraction , we obtain
\(\tan^2(\frac{x}{2})-\tan(\frac{x}{2})-5=0\)now ,
\(\begin{gathered} \tan(\frac{x}{2})=\frac{-(-1)\pm\sqrt{(-1)^2-4\times1\times(-5)}}{2} \\ \\ \tan(\frac{x}{2})=\frac{1\pm\sqrt{21}}{2} \end{gathered}\)Final Answer
The correct option is C.
100 points link down below! no off sight links please no I don't knows just a thing that state all the answers Ill give you another 50 points within the next 15 minutes if you finish it correctly and efficently.
Answer:
All of the questions?
Step-by-step explanation:
Answer:
i am not downloading this
Step-by-step explanation:
64 players started how many left after 3 rounds
Answer: 8
Step-by-step explanation:
I do not understand the question. But if my interpretation is correct, then:
If there are 64 players and 3 rounds, 32 will get out in the first round. 16 will get out in the second, and 8 will get out on the third. Thus, the answer is 64-(32+16+8) or just simply 8.
A 9th grade teacher at a local high school wants to know which subject the 9th grade students in the high school like best which group of people should make up a sample that will best answer her question a, other 9th grade teachers in her school
B, parents of 9th graders in her school
C, 9th graders in her school
D,9th graders in her homeroom
The group of people who should make up a sample that will best answer her question is the 9th graders in her school. The correct option is C.
What are subjects?Subjects are the different sets of information which is studied.
9th graders in her school will be perfect because the question is specifically asking about the opinions of 9th-grade students in the high school, so it makes sense to sample this group directly.
The other options may provide some insights, but they may not be as accurate or representative of the opinions of the 9th-grade students in the school.
Thus, the correct option is C, 9th graders in her school.
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