The total fraction of the wall that has been painted is 1/2. If a whole wall is split in half and we painted half of the wall 3 colors, each color occupies 1/6 of the painted area.
To answer your question, we need to first determine the total fraction of the wall that has been painted. Since the wall has been split in half, we can say that the painted area covers half of the wall. Therefore, the total fraction of the wall that has been painted is 1/2.
Now, we need to divide this 1/2 fraction among the three colors that were used. Let's say the three colors are red, blue, and green. We can represent the fraction of the wall occupied by each color as follows:
- Red: 1/3 x 1/2 = 1/6
- Blue: 1/3 x 1/2 = 1/6
- Green: 1/3 x 1/2 = 1/6
So each color occupies 1/6 of the painted area, which is equivalent to 1/12 of the whole wall. This means that if the wall was not split in half and we painted the entire wall with the same 3 colors, each color would occupy 1/12 of the total wall area.
In summary, if a whole wall is split in half and we painted half of the wall 3 colors, each color occupies 1/6 of the painted area, which is equivalent to 1/12 of the whole wall.
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PLEASE HELP WILL MARK BRAINLIEST
Paul graphs the equation y = 24.
Where does his graph intersect the y-axis?
(0,1)
(1,0)
(0,0)
(2,0)
(0,0)
Step-by-step I took the test
How do you determine if the given point is a solution of each linear inequality?
To determine whether the point \((1,2)\) is a solution of inequality \(3x - 2y - 6 > 0\), we substitute the point in the inequality and if the result is True, then it will be the solution .
What is an Inequality ?
The Inequality is defined as a relationship between two expressions or values that are not equal to each other .
The inequality in the question is given as : \(3x - 2y - 6 > 0\) ;
the point is ⇒ \((1,2)\) ,
to check the solution , we substitute the values in the inequality as \(x=1\)and \(y=2\) ;
we get , \(3(1) -2(2) - 6 > 0\)
= \(3-4-6 > 0\)
= \(3-10 > 0\)
= \(-7 > 0\),
But we know that , \(-7 < 0\) , So , the given point is not the solution of the given inequality .
The given question is incomplete , the complete question is
How do you determine if the given point (1,2) is a solution of each linear inequality 3x - 2y - 6 > 0 ?
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After five practice sessions, some freshmen Cadets in your squad still can't do an about face. They seem to be trying, but just aren't getting it. What supervisory function do you need to exercise more with these Cadets
As a supervisor, if some freshmen cadets in your squad are struggling with a particular skill like the "about face,"
A supervisor is a person who oversees the work of others and ensures that tasks are completed efficiently and effectively. They are typically responsible for managing a team of employees and providing guidance and direction to help them achieve their goals.
Supervisors are essential in most industries, including manufacturing, retail, healthcare, education, and many others. They are often responsible for hiring and training new employees, setting performance expectations, and monitoring progress to ensure that goals are met. They may also be responsible for developing work schedules, coordinating team meetings, and handling employee conflicts.
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a dozen apples and 2 loaves of bread cost $5.76. Half a dozen apples and 3 loaves of bread cost $7.68. A loaf of bread cost?
Let the cost of a dozen apples be x and the cost of a loaf of bread be y.As per the given information, a dozen apples and 2 loaves of bread cost $5.76.Thus we can write the first equation as:
12x+2y = 5.76 .....(1) Half a dozen apples and 3 loaves of bread cost $7.68.Thus we can write the second equation as:6x+3y = 7.68 .....(2)Now, let's solve for the value of y, which is the cost of a loaf of bread, using the above two equations.
In order to do so, we'll first eliminate x. For that, we'll multiply equation (1) by 3 and equation (2) by -2 and then add the two equations. This is given by:36x + 6y = 17.28 .....(3)-12x - 6y = -15.36 .....(4)Adding equations (3) and (4), we get:
24x = 1.92Thus,x = 1.92/24 = 0.08 Substituting the value of x in equation (1), we get:12(0.08) + 2y = 5.76 => 0.96 + 2y = 5.76 => 2y = 5.76 - 0.96 = 4.8Therefore,y = 4.8/2 = $2.40Hence, the cost of a loaf of bread is $2.40.
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Which of the following is a valid negation of the statement "A strong password is a necessary condition for achieving high security." ? Question 2. It is not true that the Moon revolves around Earth if and only if the Earth revolves around the Sun. Question 3. The proposition p(q→r) is equivalent to: Question 4. Which of the following statements is logically equivalent to "If you click the button, the light turns on." ?
Question 1. Which of the following is a valid negation of the statement "A strong password is a necessary condition for achieving high security."?
The following is a valid negation of the statement "A strong password is a necessary condition for achieving high security." is: A strong password is not a necessary condition for achieving high security.
Question 2. It is not true that the Moon revolves around Earth if and only if the Earth revolves around the Sun.This statement is true.
Question 3. The proposition p(q→r) is equivalent to:The proposition p(q→r) is equivalent to p(~q ∨ r).
Question 4. Which of the following statements is logically equivalent to "If you click the button, the light turns on."?
The following statement is logically equivalent to "If you click the button, the light turns on" is "The light doesn't turn on unless you click the button."The above solution includes 100 words only.
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solve the following....
\(-16y = 22 + 6x\\-11y - 4x = 15\)
Answer:
x= -19/3
y= 31/33
Step-by-step explanation:
I hope this helps:)
20)
A single card is chosen at random from a standard deck of 52 playing cards. Which BEST describes the probability of drawing a king
from the deck?
The best description of the probability of drawing a king from the deck is 1 out of 13, or 1/13.
The probability of drawing a king from a standard deck of 52 playing cards can be determined by dividing the number of favorable outcomes (number of kings) by the total number of possible outcomes (total number of cards in the deck).
In a standard deck, there are 4 kings (one king for each suit: hearts, diamonds, clubs, and spades). Therefore, the number of favorable outcomes is 4.
The total number of possible outcomes is 52 (the total number of cards in the deck).
So, the probability of drawing a king is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4 / 52
Simplifying the fraction gives us:
Probability = 1 / 13
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No files just type it in
Answer:
he needs 13 large cubes, 4 flats, and 5 longs to model it
Step-by-step explanation:
large cubes=1,000
flat=100
long=10
hope this helps
A bicycle manufacturer is studying the reliability of one of its models. The study finds that the probability of a brake defect is 4 percent and the probability of both a brake defect and a chain defect is 1 percent. If the probability of a defect with the brakes or the chain is 6 percent, what is the probability of a chain defect? 1. 5 percent 2 percent 2. 5 percent 3 percent.
The bicycle manufacturer is studying the reliability of its models and analyzing the probability of defects. They found the probability of a brake defect is 4 percent and the probability of both brake and chain defects is 1 percent.
Given that the probability of a defect with brakes or chain is 6 percent, we can find the probability of a chain defect using the formula: P(A and B) = P(A|B) * P(B), where P(A and B) is the probability of both events A and B occurring, P(A|B) is the probability of event A occurring given that event B has occurred, and P(B) is the probability of event B occurring.
In this case, we want to find the probability of a chain defect given that there is a defect with either the brakes or the chain. Let's use the events: A = brake defect, B = chain defect, From the problem statement, we know that: P(A) = 0.04 (probability of a brake defect), P(A and B) = 0.01 (probability of both a brake defect and a chain defect)
P(A or B) = 0.06 (probability of a defect with the brakes or the chain).
To find P(B|A or B), we can use the formula: P(B|A or B) = P(A and B) / P(A or B) = 0.01 / 0.06, = 1/6, = 0.1667, So the probability of a chain defect given that there is a defect with either the brakes or the chain is 16.67%, or approximately 2/12 or 1/6.
Therefore, the correct answer is option 2: 2%, Solving for the probability of a chain defect, we get: P(chain defect) = 0.06 - 0.04 + 0.01 = 0.03, So, the probability of a chain defect is 3 percent.
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a rectangular tank that is 5234 ft^3 with a square base and open top is to be constructed of sheet steel of a given thickness. find the dimensions of the tank with minimum weight.
As per the volume of the rectangular tank, the dimensions are 13.78 x 379.82 x 13.78
Volume of rectangle:
The general formula to calculate the volume of the rectangle is
V = length x width x height.
Given,
A rectangular tank that is 5234 ft^3 with a square base and open top is to be constructed of sheet steel of a given thickness.
Here we need to find the dimensions of the rectangular tank,
As per the given volume of rectangular tank, when we equate this with the formula, then we get,
=> 5234 = length x width x height.
Let us consider the length and the width are equal then we get the value of height as.
=> height = 5234/length
So, the value is calculated by using the surface area formula,
=> A = length² + 5234/length
When we differentiate the surface area with respect to
=> dA/dl = 2l - 5234/l²
To minimize the surface area, so dA/dl = 0,
=> 2l = 5324/l²
=> 2l³ = 5234
=> l³ = 2617
=> l = ∛2617
Therefore, the value of length is 13.78
Then the height is calculated as.
=> h = 5234/13.78 = 379.82
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12. A certain sum of money is divided among 2 boys and 3 girls. One boy gets 27 and the other boy gets 3/14. The balance is divided equally among the 3 girls. Find the shere of each girl
The share of each girl is 1/6.
Given that, certain sum of money is divided among 2 boys and 3 girls.
One boy gets 2/7 and the other boy gets 3/14
Total amount of money boys gets = 2/7+3/14
= (4+3)/14
= 7/14
= 1/2
Remaining money = 1-1/2
= 1/2
The balance is divided equally among the 3 girls.
Let the amount of money each girl gets be x.
Now, 3x=1/2
x=1/6
Therefore, the share of each girl is 1/6.
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"Your question is incomplete, probably the complete question/missing part is:"
A certain sum of money is divided among 2 boys and 3 girls. One boy gets 2/7 and the other boy gets 3/14 the balance is divided equally among the 3 girls . Find the share of each girl.
Joshua's car used 1 2/3 gallons to travel 26 1/4 miles. How many miles can the car go on one gallon of gas?
Answer:
15.75 miles or 15 \(\frac{3}{4}\) miles. They both mean the same thing.
Step-by-step explanation:
26 \(\frac{1}{4}\) ÷ 1 \(\frac{2}{3}\)
\(\frac{105}{4}\) ÷ \(\frac{5}{3}\)
\(\frac{105}{4}\) x \(\frac{3}{5}\)
\(\frac{315}{20}\)
15.75 or 15 \(\frac{3}{4}\) miles on 1 gallon.
Helping in the name of Jesus.
5x-6 /3=12
what is x
Answer:
x = 14/5
Step-by-step explanation:
Divide the numbers.
5 − 1 ⋅ 6/ 3 = 1 2
5x-1·2=12
Multiply the numbers.
5 − 1 ⋅ 2 = 1 2
5 − 2 = 1 2
Add 2 to both sides.
5 − 2 + 2 = 1 2 + 2
5=14
Divide on both sides
5x/5=14/5
This will get you your answer of 14/5.
5x-6 /3=12 , what is x. The value of x is 8.4 . This question is an example of algebraic expression. Algebraic expression involves variables, numbers, or may comprise of both the variable and the numbers. The objective would be to determine the value of the variable.
From the information given;
\(\mathbf{\dfrac{5x-6}{3}= 12}\)
The first thing we would want to do here is to cross multiply. By cross multiplying the above equation, we will multiply 12 with 3.
Now, we have:
5x - 6 = 12 × 3
5x - 6 = 36
Collect like terms
5x = 36 + 6
5x = 42
\(\mathbf{x = \dfrac{42}{5}}\)
x = 8.4
Therefore, from the given expression, the value of x is 8.4.
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if n 1 integers are chosen from the set {1, 2, 3, , 2n}, where n is a positive integer, must at least one of them be even?
Yes, One of them must be even and this is because Pigeonhole Principle.
What is Pigeonhole Principle?
According to the pigeonhole principle, at least one container must hold more than one item if n things are placed into m containers, where n > m. As an illustration, if one has three gloves (none of which are ambidextrous or reversible), at least two of them must be right-handed or left-handed as there are three items but only two categories of handedness to classify them into. It is possible to establish potentially surprising consequences using this seemingly obvious assertion, a type of counting argument.
From series {1,2......2n}, we need to select 'n+1' integers.
Even integers series from above series is {2,4,6..........2(n-1), 2n}
Odd integers series from above series is {1,3,5......2(n-2), 2n-1}
We can choose only n odd integers from the series. Therefore, if we choose n+1 integers, at least one of them must have to be even integer.
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pharmaceutical company conducts an experiment in which a subject takes 75 mg of a substance orally. the researchers measure how many seconds it takes for one quarter of the substance to exit the bloodstream. what kind of variable is the company studying?
The pharmaceutical company uses the quantitative variable to conducts an experiment.
Variables:
A variable is a characteristic of an object. Their values may occur more than once for a set of data. We consider just two main types of variables in this course.
Quantitative Variables - Variables whose values result from counting or measuring something.
Qualitative Variables - Variables that are not measurement variables. Their values do not result from measuring or counting.
Given,
A pharmaceutical company conducts an experiment in which a subject takes 75 mg of a substance orally.
And the researchers measure how many seconds it takes for one quarter of the substance to exit the bloodstream.
Here we need to find the kind of variable is the company studying.
Here the company uses the Qualitative Variable because here they measure the effects of the medicine not the measurement.
So, the experiment uses the Qualitative Variable.
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please help, need asap
Answer:
x= 1
y= 3
Step-by-step explanation:
21(-2+y) +7y = 42
-42 +28y+42
28y = 42+42
28y= 84
divide both sides y= 3
x= -2+3 x=1
x= + (3-2) = 1
42=42
10=10
Asap plzz i need it in at least in 10 min
Answer:
Step-by-step explanation:
if 12x= 4(x+5), x equals...
distribute the 4 to the x and
12x = 4x + 20
subtract the 4x on both sides
8x = 20
divide by 8
x = 20/8
simplify
x = 5/2
5/2 = 2.5 so the answer is D
Which values are areas of cross sections that are parallel to a face of this right rectangular prism?
480 square units
120 square units
80 square units
24 square units
The value is 24 square units is parallel to the face of the right rectangular prism.
We can see that the face of the given rectangular prism shows a width 4 and a height of 6. If we cut the figure at any point along the length 20, such that the cross-section is parallel to the face, the cross-section, which occurs at x length, will always have the same dimensions, which are 4 and 6.
So the area of the cross-section which is parallel to the face of the given rectangular prism is given by:
A = 6 × 4
A = 24
Thus, the value is 24 square units is parallel to the face of the right rectangular prism.
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A = 6 × 4
A = 24
Thus, the value is 24 square units is parallel to the face of the right rectangular prism.
7
Find the area of the following trapezoid.
14
7
5
Answer: 66.5 u^2
Step-by-step explanation:
Write each number below in standard form.
a.) (3x 1) + (2x) + (8 × 100 :)
b.) (4 × To ) + (7×₁0) + (9×1000)
Answer:
a: (3x 1) + (2x) + (8 x 100)
3 + 2x + (800)
800 + 3 + 2x = 2x + 803
= 2x + 803
b: (4 x 2) + (7 x 10) + (9 x 1000)
8 + 70+ 9000= 9078
=9078
Pls help I'm so dumb
Answer:
C. p > -3
Step-by-step explanation:
We observe the characteristics of the shaded ray on the number line.
It goes to the right, so the inequality must be either greater than or greater than or equal to.
The circle where it starts on is open, so the inequality must not be less than or equal to or greater than or equal to.
Now, without even looking at the numbers themselves, we can find our answer.
There are four different types of inequalities, and we eliminated three of them (<, <=, >=). This leaves only one left (>). The only answer choice that uses the greater than symbol is C, so it must be our answer.
-2z+3-z=□-4z+2
please give me the answer
Step-by-step explanation:
\(\displaystyle \rm -2z+3-z=-4z+2 \\\\ -3z+3=-4z+2 \\\\ 4z-3z=-3+2 \\\\ \underline{z=-1 \ \ \ \ } \\\\\)
\(\large{\rm{\underline{\underline{Answer:}}}}\)
Given to solve: -2z+3-z = -4z+2
⇛ -3z + 3 = -4z + 2
⇛ -3z + 4z = 2 - 3
⇛ z = -1
Required value of z is -1. The steps we followed are: We shifted z to a single side and other numbers to other side. Then we equated to get the result.
the number 144 is multiplied with 2^-3 , 12^-1 and 3^-2 consecutively . Find the final product pls quick :)
Answer:
\(\boxed{\sf \ \ \ \dfrac{1}{6} \ \ \ }\)
Step-by-step explanation:
Hello
when you multiply by \(2^{-3}\)
it is equivalent to divide by \(2^3\)
so we are looking for
\(144*2^{-3}*12^{-1}*3^{-2}=\dfrac{144}{2^3*12*3^2}=\dfrac{9*16}{2^3*12*3^2}\\=\dfrac{3^2*2^4}{2^3*12*3^2}=\dfrac{2}{12}=\dfrac{1}{6}\)
hope this helps
do not hesitate if you have any question
Make the biggest possible number using the digits below only once 3 , 1 , 3 answer
Answer:
331 the biggest possible number
Enter the correct answer in the box.
Simplify the expression (62)4.
The simplified expression of the expression given as (62)4 is 248
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
(62)4
Remove the bracket and rewrite the expression as a product expression
So, we have the following representation
(62)4 = 62 * 4
Evaluate the products
This gives
(62)4 = 248
The above expression cannot be further simplified
Hence, the solution is 248
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fill in the missing number: 0,1,1,2,3,5,8,13,-,34,55
The missing number of the series is 21.
The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.
Using this pattern, we can determine the missing number in the sequence.
0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55
Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.
Therefore, the completed sequence is:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.
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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.
To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.
The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:
011235813213455Therefore, the missing number in the sequence is 21.
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NEED HELP ASAP!!! 50 POINTS!!! WILL MARK BRAINLIEST
2. The following triangle, ∆, has angle measures as shown.
Step 1: What is the measure of angle C? Show your work.
Step 2: What is the value of x? Show your work.
Answer:
x=29. Angle C= 93
Step-by-step explanation:
3(x+2)= 3x+6.
3x+6+52+35= 3x+93.
180-93=87.
87/3= 29. So that means x=29.
for proof you can do 3(29)+93 and you'll get 180.
For angle C; 3(29+2)= 3x31. 31x3= 93.
Angle C= 93 degrees.
Eight students are competing for a blue, red, and yellow ribbon for their agriculture project. How many different ways are there to present those ribbons if the order matters? 56 336 6,720 8,064
Answer:
the answer is B.336
Step-by-step explanation:
got it right on ed
There are 336 different ways are there to present those ribbons if the order matters.
What is the combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Eight students are competing for a blue, red, and yellow ribbon for their agriculture project.
Different ways are there to present those ribbons if the order matters.
By permutations, we have to calculate the number of different ways to arrange the ribbon is;
\(=3 \times 2\times 1\\\\=6\)
Now, we have to calculate the different ways to choose 3 winners from 8 is;
\(=8\times 7\times 6\\\\=336\)
Therefore, the correct option is (b), 336 ways are there to present those ribbons if the order matters.
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Price per volleyball if 6 volleyballs cost $18.00? Please I need helpppp
Answer:
The price per volleyball is $3.
Step-by-step explanation:
Divide $18 by 6 for the cost of each volleyball in which your final answer should be $3 per volleyball.
In a basket of oranges , 20% of them are defective and 76 are in good condition.find the total number of oranges in the basket.
The total number of oranges in the basket is 95.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Of a basket of oranges,
20% of them are defective and 76 are in good condition.
Let x be the total number of oranges.
That means 80% = 76 oranges are in good condition.
20% in decimal form is 0.2.
Applying the percentage formula,
(1 - 0.2)x = 76
0.8x = 76
x = 95
And 20% of 95 = 19
Therefore, the total = 95.
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