Answer:
$6.99
Step-by-step explanation:
4.3+1.7 pounds is 6 pounds. The price per pound would be $41.94 divided by 6. Therefore, $6.99
Exactly seventy five percent of the members of a club fill exactly 5/6 of the chairs in the room.The smallest possible number of people in the club is
A percentage is a relative value indicating the hundredth parts of any quantity.
If seventy-five percent of the members of a club fill exactly 5/6 of the chairs in the room the smallest possible number of people in the club is 4.
What is a percentage?It is a relative value indicating the hundredth parts of any quantity.
We have fractions denoted the percentages.
i.e
50% = 1/2
20% = 1/5
25% = 1/4
10% = 1/10
We have,
Seventy-five percent of the members of a club fill exactly 5/6 of the chairs in the room.
This can be written as:
75% = 5/6 chairs
This means there are
75% = 75/100 = 15/20 = 3/4
We have 4 in the denominator so we can have,
4, 8, 12, 16, 20,... members in the club.
5/6 chairs mean we can have 6, 12, 18, 24, 30,... chairs in the room.
From the given above, we can say that the smallest possible number of people in the club is 4.
Thus the smallest possible number of people in the club is 4.
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a leather store performs an observational survey of women walking through a mall. there were 30 women that walked by in an hour. of those women, 18 were carrying purses, 12 were wearing belts, and 6 were both carrying purses and wearing belts. what is the probability that a woman was wearing a belt, given that the woman was also carrying a purse?
The probability that a woman was wearing a belt given that she was also carrying a purse is 0.333 or 33.3%.
To find the probability that a woman was wearing a belt given that she was also carrying a purse, we need to use conditional probability.
We know that out of the 30 women observed, 18 were carrying purses and 6 were both carrying purses and wearing belts.
This means that the number of women carrying purses who were also wearing belts is 6.
Therefore, the probability that a woman was wearing a belt given that she was also carrying a purse is:
P(wearing a belt | carrying a purse) = number of women wearing a belt and carrying a purse / number of women carrying a purse
P(wearing a belt | carrying a purse) = 6 / 18
P(wearing a belt | carrying a purse) = 0.333
Given the information provided, we can determine the probability of a woman wearing a belt, given that she is also carrying a purse.
First, we need to find the number of women carrying a purse and wearing a belt, which is 6. There are 18 women carrying purses in total.
So, to find the probability, we will use the formula:
P(Belt | Purse) = (Number of women wearing belts and carrying purses) / (Number of women carrying purses)
P(Belt | Purse) = 6 / 18
P(Belt | Purse) = 1/3 or approximately 0.33
Therefore, the probability that a woman was wearing a belt, given that she was also carrying a purse, is 1/3 or approximately 0.33.
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which two parts of the vehicle are most important in preventing traction loss
The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.
The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.
Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.
Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.
The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.
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a store is selling a shirt for 1/4 off the original price of 28. what is the sale price of the shirt
HELP ME PLEASE!!
Find the 6th term in the sequence
Answer:
A 4,320
Step-by-step explanation:
6*2=12
12*3=36
36*4=144
144*5=720
720*6=4,320
I need help with this Pre-Cal question
Answer:
Step-by-step explanation:
Find the inverse of function f
f(x)9x+7
The inverse of function f(x) = 9x+7 is f-1(x) = x/9 - 7/9
How to determine the inverse of the function?The function is given as:
f(x) = 9x + 7
Express f(x) as y
y = 9x + 7
Swap the positions of x and y in the above equation
x = 9y + 7
Subtract 7 from both sides
9y = x - 7
Divide through by 9
y = x/9 - 7/9
Express as an inverse function
f-1(x) = x/9 - 7/9
Hence, the inverse of function f(x) = 9x+7 is f-1(x) = x/9 - 7/9
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The tape diagram represents the ratio of your monthly allowance to your friend's monthly allowance. The monthly allowances total $81. How much is each allowance?
You
Friend
how much money do you and how much dose your friend have
.
Your monthly allowance and your friend's monthly allowance is $45 and $36 respectively.
From the given tape diagram, the ratio of your monthly allowance to your friend's monthly allowance is 5:4.
What is the ratio?
The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Here, 5+4=9
Now, your monthly allowance = 5/9 × 81
= 45
So, your friend's monthly allowance = 81-45 = 36
Therefore, your monthly allowance and your friend's monthly allowance is $45 and $436 respectively.
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a player pays $5 to play a game. a die is rolled. if the number on the die is odd,the game is lost. if the number on the die is even, the die is rolled again. in this casethe player wins if the second number matches the first and loses otherwise. how muchshould the player win if the game is fair? (
The game to be fair, the player should win 60.
In order to determine the fair winnings for this game, we need to calculate the probability of winning and then set it equal to the cost of playing the game.
Step 1: Calculate the probability of winning.
There are two scenarios for winning:
1. First roll is even, and the second roll matches the first.
2. The probability of rolling an even number on a six-sided die is 3/6 or 1/2, since there are three even numbers (2, 4, and 6).
Step 2: Calculate the probability of the second roll matching the first roll.
Since there are 6 sides to the die, the probability of the second roll matching the first is 1/6.
Step 3: Calculate the combined probability of both events.
To find the combined probability of both events, multiply the probabilities: (1/2) × (1/6) = 1/12. So the probability of winning is 1/12.
Step 4: Set up an equation to determine fair winnings.
Let x be the fair winnings for the game. The cost of playing the game is $5. In order for the game to be fair, the expected value (probability of winning multiplied by the winnings) should equal the cost of playing the game:
(1/12) × x = 5
Step 5: Solve the equation for x.
To solve for x, multiply both sides of the equation by 12:
x = 5 × 12
x = 60
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If a food item with an original (AP) weight of 4 pounds at a cost of $1.10 per pound yields a servable weight of 2 pounds, what is the cost per servable pound for this food item? a. $0.50 b. $1.50 c. $2.20 d. $4.40
Given that the cost is $1.10 per pound, we can calculate the cost per servable pound by dividing the total cost ($1.10 * 4 pounds) by the servable weight (2 pounds). Therefore, the correct option is c. $2.20.
The original weight of the food item is 4 pounds, and the cost per pound is $1.10. Therefore, the total cost of the food item is 4 pounds * $1.10 = $4.40.
The servable weight of the food item is 2 pounds. To find the cost per servable pound, we divide the total cost ($4.40) by the servable weight (2 pounds):
Cost per servable pound = Total cost / Servable weight = $4.40 / 2 pounds = $2.20.
Hence, the cost per servable pound for this food item is $2.20. Therefore, the correct option is c. $2.20.
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16 + 13p -- 9p
how do you do this?
Use synthetic division to find the result when 4x^3+14x^2+13x+11 is divided by x+2. If there is a remainder, express the result in the form q(x) + r(x)/b(x).
The division of 4x³ + 14x² + 13x + 11 by x + 2 will have a quotient of 4x² + 14x + 1 and a remainder of 8 using synthetic division and can be expressed as (4x² + 14x + 1) + 9/(x + 2).
Dividing with synthetic divisionThe procedure for synthetic division involves the following steps:
Divide.
Multiply.
Subtract.
Bring down the next term, and
Repeat the process to get zero or arrive at a remainder.
We shall divide 4x³ + 14x² + 13x + 11 by x + 2 as follows;
4x³ divided by x equals 4x²
x + 2 multiplied by 4x² equals 4x³ + 8x²
subtract 4x³ + 8x² from 4x³ + 14x² + 13x + 11 will give us 6x² + 13x + 11
6x² divided by x equals 6x
x + 2 multiplied by 6x equals 6x² + 12x
subtract 6x² + 12x from 6x² + 13x + 11 will give us x + 11
x divided by x equals 1
x + 2 multiplied by 1 equals x + 2
subtract x + 2 from x + 11 will give result to a remainder of 9.
Therefore by synthetic division, 4x³ + 14x² + 13x + 11 by x + 2 will result to a quotient of 4x² + 14x + 1 and a remainder of 9.
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HELP ASPPP PLEASESSSSS
Answer: I think the answer is 4.
Step-by-step explanation:
I am not sure because i am just in 5th grade (10) so might be wrong and i am so sorry if its wrong.
Write an equation that represents the line.
Use exact numbers.
The equation of the line passing through the points is y = x + 2
How to determine the equation?The points are (-1, 1) and (4, 6).
The slope is calculated using:
m= (y2 - y1)/(x2 - x1)
So, we have:
m = (6 - 1)/(4 + 1)
Evaluate
m = 1
The equation of the line is then calculated as:
y = m(x -x1) + y1
This gives
y = 1 *(x + 1) + 1
Evaluate
y = x + 2
Hence, the equation of the line passing through the points is y = x + 2
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I don't understand someone help this is a homework grade
The student is seeking assistance with their homework and requires clarification or help understanding a concept. They express the need for assistance and emphasize importance of the homework for their grade.
It is understandable to encounter challenges or confusion while working on homework assignments. It is essential to seek clarification and assistance to ensure a clear understanding of the topic and complete the assignment accurately. Seeking help from a teacher, tutor, or classmates can provide valuable guidance and support.
Explaining the specific concept or problem in detail to the person assisting you can help them provide targeted explanations and guidance. Remember that asking for help is an important part of the learning process and can contribute to better comprehension and improved grades. #
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Direct and Inverse Variations
The value of y is 24 when x is 7.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
There are direct variations
y= 24 when x=2
We need to find value of y when x =7
This can be found by forming an equation.
Let the value of unknown y be a
2/24=7/a
Apply cross multiplication
2a=24(7)
2a=168
We need to divide by 2 on both sides
a=24
Hence the value of y is 24 when x is 7.
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Fill in the missing fraction: Do not reduce your answer. What is 10/12 plus blank equals 16/12
Answer:
The missing fraction is 6/12
(you can further simplify this but the question requires that you don't do that)
Step-by-step explanation:
To add fractions easily, their denominators should have the same value, so the denominator should be 12,
Then, to get 16 in the numerator, we need to find a number that on adding to 10, gives 16, or,
10 + x = 16
x = 16 - 10
x = 6
So, the numerator should be 6
so we get the fraction, 6/12
We can also solve it in an alternate way,
\(10/12 + x = 16/12\\x = 16/12 - 10/12\\x = (16-10)/12\\x = 6/12\)
Find the equation of the line, given the following information: passes through (1,4) and is parallel to y=2x+6?
The slope of the parallel line will be the same as the original line but the y-intercept will be different.
y = 2x + b
Since we don't know the new y-intercept, we can solve for it using the point we are given.
4 = 2(1) + b
4 = 2 + b
2 = b
The y-intercept of the parallel line is 2.
Therefore, the answer is y = 2x + 2
Best of Luck!
Answer:
y = 2x + 2Step-by-step explanation:
y = 2x + 6
the slope-intercept equation of a line: y = mx + b
where m = slope
b = y-intercept
let's put the point (1,4) in it as it lies on line
y = mx + b
4 = 2(1) + b
b = 4 - 2
b = 2
therefore, the equation would be: y = 2x + 2
A political polling agency wants to take a random sample of registered voters and ask whether or not they will vote for a certain candidate. One plan is to select 400 voters, another plan is to select 1,600 voters. If the study were conducted repeatedly (selecting different samples of people each time), which one of the following would be true regarding the resulting sample proportions of "yes" responses?
A. Different sample proportions would result each time, but for sample size 400 they would be centered (have their mean) at the true population proportion, whereas for sample size 1,600 they would not.
B. Different sample proportions would result each time, but for sample size 1,600 they would be centered (have their mean) at the true population proportion, whereas for sample size 400 they would not.
C. Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.
D. For either sample size, using the same size each time, as long as the samples are drawn with replacement, they would be centered (have a mean) at 0.
Answer:
C. Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.
Step-by-step explanation:
From the given information;
A political polling agency wants to take a random sample of registered voters and ask whether or not they will vote for a certain candidate.
A random sample is usually an outcome of any experiment that cannot be predicted before the result.
SO;
One plan is to select 400 voters, another plan is to select 1,600 voters
If the study were conducted repeatedly (selecting different samples of people each time);
Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion. This is because a sample proportion deals with random experiments that cannot be predicted in advance and they are quite known to be centered about the population proportion.
Is A ABCE A DEF? If so, name the postulate that applies.
Given
O A. Congruent - ASA
O B. Congruent - SSS
O c. Might not be congruent
D. Congruent - AAA
Answer:
c. Might not be congruent
There is No congruence between ABC and DEF.
What is congruence?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.
From the figure we have given that
<A = <D
<B = <E
<C = <F
As, all the angles are equal but there is no Criteria which have AAA congruence rule.
Thus, there is no Congruence.
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You have an account with a principal of $200. it pays 8% at the end of every year. calculate the principal at the end of 3 years.
Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The principal at the end of 3 years is $248.
What is simple interest?Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
SI = (P × R × T)/100
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
The principal at the end of 3 years is,
Principal after 3 years = P + (P × R × T)
= $200 + ($200 × 0.08 × 3)
= $200 + $48
= $248
Hence, the principal at the end of 3 years is $248.
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helpppppppppppppppppppppppppppppppp plzzzzzzzzzzzzzzzzzzzz
Consider the following expression: (1+x)^2.
A) Use the Binomial Theorem to find the first four terms of this polynomial.
B) Why is 1 + nx a good approximation of this expression when x is less than 1?
Answer:
Step-by-step explanation:
A) The Binomial Theorem states that for any positive integer n and any real numbers a and b, the expression (a + b)^n can be expanded as a sum of the form:
(a + b)^n = C(n,0)a^n b^0 + C(n,1)a^(n-1)b^1 + C(n,2)a^(n-2)b^2 + ... + C(n,n)a^0b^n
where C(n,k) = n!/(k!(n-k)!) is the binomial coefficient.
Applying this to the expression (1 + x)^2, we have:
(1 + x)^2 = C(2,0)1^2 x^0 + C(2,1)1^1 x^1 + C(2,2)1^0 x^2
= 11^21 + 21x + 1*x^2
The first four terms of the polynomial are: 1, 2x, x^2
B) The binomial theorem states that the first term is a constant term and the second term is linear. When x is less than 1, the linear term 2x is much smaller than the constant term 1, so the linear term can be ignored as a good approximation. Therefore, 1 + nx will be a good approximation of the expression (1+x)^2 when x is less than 1.
What is the degree of angle o?
Answer:
48°
Step-by-step explanation:
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Is 2 3/4 greater or less then 2 4/6
Answer:
NOT GREATER!!!
Step-by-step explanation:
0.6667 is NOT greater than 0.6667 which also means that 2/3 is NOT greater than 4/6.
Find five rational numbers between -1/2 and 4/7
The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.
According to the statement
we have to find that the rational numbers.
So, For this purpose, we know that the
Rational number, a number that can be represented as the quotient p/q of two integers such that q ≠ 0.
From the given information:
The given numbers are between -1/2 and 4/7
Then to find the numbers then
Rational numbers = (-1/2 +4/7) /2
Rational numbers = (-1 +2/7)
Rational numbers = -5/7.
And then the number becomes -6/7, 2/7,3/7.
Now, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.
So, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.
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1) Joel went scuba diving 35 feet below sea level in the ocean last weekend. Represent the
depth at which he was scuba diving as an integer
Answer:
-35
Step-by-step explanation:
Answer:
-35
Step-by-step explanation:
What will be true about the sixth term in the pattern below?
1, 2, 4, 8, ...
It will be an even number greater than 16.
It will be an even number greater than 32.
It will be an odd number greater than 16.
It will be an odd number greater than 32.
You roll a fair 666-sided die. What is \text{P(roll greater than 4})P(roll greater than 4)start text, P, left parenthesis, r, o, l, l, space, g, r, e, a, t, e, r, space, t, h, a, n, space, 4, end text, right parenthesis?
If necessary, round your answer to 222 decimal places
Answer:
1/6 fraction is the answer
Step-by-step explanation:
Given f(x) =x^2+3x-5 and g(x) =2x+1, find (f+g)(x).
Answer:
Step-by-step explanation:
Plug in the functions.
(x^2+3x-5) + (2x+1)
Then, combine like terms.
= x^2 + 5x -4