L am a multiple of 3,4,5, and 6, l am a factor of 120 divided by 7 l leave a remainder of 4 who am l?
Answers
You are looking for a number that is a multiple of 3, 4, 5, and 6, and is a factor of 120 divided by 7, leaving a remainder of 4.
Let's break down the problem step by step:
1. Find a number that is a multiple of 3, 4, 5, and 6.
- The smallest number that meets this criteria is the least common multiple (LCM) of 3, 4, 5, and 6.
- The LCM of these numbers is 60.
2. Find a number that is a factor of 120 divided by 7.
- The result of dividing 120 by 7 is 17 with a remainder of 4.
- The number we are looking for must be a factor of 120 divided by 7, so it must be a factor of 17.
- The factors of 17 are 1 and 17.
3. Find a number that leaves a remainder of 4.
- Since the number must leave a remainder of 4, we need to add 4 to the factors of 17.
- The numbers that meet this criteria are 1 + 4 = 5 and 17 + 4 = 21.
So, the numbers that satisfy all the given conditions are 5 and 21.
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Related Questions
Suppose f:A→B, where ∣A∣=20 and ∣B∣=10. Then (select all that apply) f may be surjective f cannot be injective f must be injective f cannot be surjective f must be surjective f may be injective
Answers
The correct statements are: f may be surjective and f cannot be injective.
1. f may be surjective:
A function is surjective (or onto) if every element in B has a corresponding element in A. It is possible for f to be surjective if multiple elements in A map to the same element in B.
2. f cannot be injective:
A function is injective (or one-to-one) if every element in A maps to a unique element in B. Since |A| > |B|, there must be at least one element in B that has more than one corresponding element in A, so f cannot be injective.
3. f may be injective:
This option is incorrect, as I explained in the previous point.
4. f cannot be surjective:
This option is incorrect, as f may be surjective, as I explained in the first point.
5. f must be surjective:
This option is incorrect, as it depends on how the elements in A map to those in B. It is possible but not guaranteed.
6. f may be injective:
This option is incorrect, as I explained in the second point.
So, the correct statements are: f may be surjective and f cannot be injective.
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What is the value of |238| + |−28| − |−14|?
A 224
B 196
C 280
D 252
Answers
Answer:
D
Step-by-step explanation:
av= absolute value
av of 238 = 238
av of -28 = 28
av of -14 = 14
238 (+) 28 (-) 14 = 252
238 + 28 = 266
266 - 14 = 252
therefore 252 is the correct answer
hope this helped ^^
Below are the steps for copying Line Segment DE using dynamic geometry software. Which sequence has the steps in the correct order?
1.) Draw Line Segment DE with endpoint H on the circle.
2.) Construct a circle centered at the point G with radius Line Segment DE.
3.) Line Segment DE ≅ Line Segment GH
4.) Draw a point and label it G.
~a.) 2,4,1,3
~b.) 4,2,1,3
~c.) 2,1,4,3
~d.) 3,4,2,1
Answers
The correct sequence of steps for copying Line Segment DE using dynamic geometry software is in the order of 2,1,4,3. So, correct option is C.
The correct sequence of steps for copying Line Segment DE using dynamic geometry software is:
1.) Draw Line Segment DE with endpoint H on the circle.
2.) Draw a point and label it G.
3.) Construct a circle centered at the point G with radius Line Segment DE.
4.) Line Segment DE ≅ Line Segment GH
Therefore, option c.) 2,1,4,3 is the correct sequence of steps. The first step is to draw the original line segment DE with endpoint H on the circle.
The second step is to draw a point and label it G. The third step is to construct a circle centered at G with the same radius as Line Segment DE. Finally, in the fourth step, the line segment GH is drawn such that it is congruent to Line Segment DE, completing the copy of Line Segment DE.
So, correct option is C.
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12 Units to the right of zero on a number line
Answers
Answer:
12
Step-by-step explanation:
0 + 12 = 12
Answer:
12
Step-by-step explanation:
the 2 numbers 12 units away from 0 are 12 and -12
since it's to the right of 0, it's positive
A positive integer is multiply by 5, then 6 is subtracted from the result, and then the last result is
divided by 8. (figure it out)
Answers
Answer:
3.75
Step-by-step explanation:
5 times 6 30/8
The bill for dinner totaled $56 before tax and tip. The restaurant added a 6 percent sales tax. If Sandra wants to include a 16 percent tip calculated on the bill before sales tax is added, what is the total cost of the dinner?
$59.36
$64.96
$68.32
$68.86
Answers
Consider the following system.
y = 4x - 1
y = -3x + 6
Find the solution by using substitution.
HINT: Equal them to each other, solve for x. Then plug in x to one equation to find y.
Answers
Answer:
x=1 y=3
Step-by-step explanation:
y = 4x - 1
y = -3x + 6
Set the two equations to each other
4x - 1 = -3x + 6
Add 3x to each side
4x +3x - 1 = -3x+3x + 6
7x-1 =6
Add 1 to each side
7x-1+1 = 6+1
7x= 7
Divide each side by 7
7x/7 = 7/7
x=1
Now we can find y
y = 4x-1
y = 4(1)-1
y = 3
what's the measure of the top left angle in this triangle and whats the measure of the top right angle?
Answers
Answer:
where is the image to solve
Step-by-step explanation:
hint: all angles should equal to 180 added up
If donuts are 12 cents a dozen how much does 100 donuts cost.
Answers
The cost of 100 donuts is $ 1 if a dozen of donuts cost 12 cents.
This question is solved using the unitary method. The unitary method is a method in which you find the value of a unit and then the value of the required number of units.
1 dozen refers to a group of 12.
Cost of 1 dozen donuts or 12 donuts = 12 cents
Cost of 1 donut = \(\frac{12}{12}\) = 1 cent
Cost of 100 donuts = 1 * 100 = 100 cents
100 cents = 1 dollar.
Thus, the cost of 100 donuts is 100 cents or 1 dollar.
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If you increase the confidence level, the confidence interval:A. decreasesB. may increase or decrease, depending on the sample dataC. stays the sameD. increases
Answers
If you increase the confidence level, the confidence interval increases. therefore the correct answer is option D. increases
When you increase the confidence level, the confidence interval increases as well. The confidence level represents the degree of certainty or level of confidence that the true population parameter lies within the calculated interval.
A confidence interval is constructed based on sample data and is influenced by two main factors: the level of confidence desired and the variability within the data.
By increasing the confidence level, you are requesting a higher level of certainty that the population parameter falls within the interval.To achieve a higher level of confidence, the interval needs to widen to encompass a larger range of possible values. This increase in the width of the interval reflects the increased level of certainty desired, allowing for a larger margin of error and a wider range of plausible values for the population parameter.
Therefore, when you increase the confidence level, the confidence interval increases in width.
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a fair die with its faces numbered from 1 to 6 will be rolled. which of the following is the best interpretation of the probability that the number landing face up will be less than 3 ?
Answers
When a fair die with faces numbered 1 to 6, the probability that the number landing face up is less than 3 is 1/3.
The probability measures how likely an event to occur. The probability of an event A is defined as:
P(A) = number of ways that event A can occur / all possible outcomes
In the given problem, let x be any number of die's face, then
number of ways x will show up = 1
all possible outcomes = 6
Hence,
P(x) = 1/6
Numbers that are less than 3 is 1 and 3. Therefore,
P (x<3) = P(1) + P(2)
P (x<3) = 1/6 + 1/6 = 2/6 = 1/3
Therefore, we can conclude that the probability that the number landing face up is less than 3 is 1/3
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A shipping box is shaped like a rectangular prism. The box is 1 1/5 feet wide, 3 feet long, and 4 1/2 feet tall. What is the volume of the shipping box
Answers
Answer:
4.95
Step-by-step explanation:
The volume of the rectangular prism is 16.2 ft³.
What is volume?The volume of any object defined the capacity of it, how much it can hold something is called its volume.
Given is rectangular prism, we need to find the volume of the same,
So, we know that the volume of a rectangular prism is the product of its dimensions.
V = length × width × height.
\(V = 1\frac{1}{5} \times 4\frac{1}{2} \times 3\)
\(V = \frac{6}{5} \times \frac{9}{2} \times 3\)
V = 162/10
V = 16.2
Hence, the volume of the rectangular prism is 16.2 ft³.
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What term is used for statistical techniques that use sample data to draw conclusions about the population from which the sample was obtained
Answers
Answer : The term used for statistical techniques that use sample data to draw conclusions about the population from which the sample was obtained is called inferential statistics
Explanation : The term used for statistical techniques that use sample data to draw conclusions about the population from which the sample was obtained is called inferential statistics.
Inferential statistics are used to make generalizations or predictions about a population based on the analysis of a sample.
This is done by taking a sample from the population and using statistical methods to analyze the sample data, which then allows us to make inferences about the population as a whole.Inferential statistics play a crucial role in scientific research, as they allow researchers to draw conclusions about the characteristics of a population based on a representative sample of that population. In order for the inferences to be valid, it is important to ensure that the sample is representative of the population in question.In conclusion, inferential statistics is a powerful tool that allows us to draw meaningful conclusions about populations based on sample data. It is important to use appropriate statistical methods to ensure that the inferences we draw are valid.
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GIVING BRAINLIEST
If you receive three successive discounts of 36%, 25% and 30%, you receive the same savings as one big discount of:
a) 33.6% b) 66.4% c) 71% d) 88% e) 88.5%
Answers
Answer:
B, 66.4%
Step-by-step explanation:
how many numbers consisting of 1,2, or 3 digits(without repitions)can be formed using the digits 1,2,3,4,5,6?
Answers
Therefore, there are 156 numbers consisting of 1, 2, or 3 digits that can be formed using the digits 1, 2, 3, 4, 5, 6 without repetitions.
We need to find the number of numbers consisting of 1, 2, or 3 digits that can be formed using the digits 1, 2, 3, 4, 5, 6 without repetitions.
1-digit numbers: There are 6 choices for the first digit.
2-digit numbers: There are 6 choices for the first digit, and 5 choices for the second digit (since we cannot repeat the first digit).
3-digit numbers: There are 6 choices for the first digit, 5 choices for the second digit (since we cannot repeat the first digit), and 4 choices for the third digit (since we cannot repeat the first or second digit).
Therefore, the total number of numbers that can be formed is:
1-digit numbers: 6
2-digit numbers: 6 x 5 = 30
3-digit numbers: 6 x 5 x 4 = 120
The total number of numbers is the sum of these:
6 + 30 + 120 = 156
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A bucket contains 5 green tennis balls, 7 yellow tennis balls, and 1 red tennis
balls. Tony removes 2 tennis balls, without replacement, from the bucket.
What is the probability that Tony removes 1 yellow, and then 1 green tennis
balls?
Write your answer as a fraction. Ex: 1/2
Answers
========================================================
Work Shown:
A = probability of getting a yellow ball
A = (number of yellow)/(number total)
A = 7/(5+7+1)
A = 7/13
B = probability of getting a green ball after event A happens, no replacement
B = (number of green)/(number left after the yellow is picked)
B = 5/(13-1)
B = 5/12
A*B = probability of getting yellow followed by green, no replacement
A*B = (7/13)*(5/12)
A*B = (7*5)/(13*12)
A*B = 35/156
What explicit formula for geometric sequence calculator?
Answers
The explicit formula for geometric sequence calculator is n = a 1 + r^(n-1) (n-1)
We can easily determine the value of any term in the sequence using the formula once you have those values.
where:
The sequence's nth word is a n.
The first term in the series is a 1.
The frequency of successive terms is expressed as r.
The sequence's length, n, is given.
The values of a 1, r, and n must be known in order to use this algorithm as a geometric sequence calculator. You can easily determine the value of any term in the sequence using the formula once you have those values.
Therefore, the explicit formula for geometric sequence calculator is n = a 1 + r^(n-1) (n-1).
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Another one. Find the gradients of the lines A and B.
Answers
Answer:
Step-by-step explanation:
Gradient of a line is the same as slope of the line. Slope is defined as the ratio of the rate of change in the y(vertical) axis to the rate of change in the x(horizontal) axis.
Slope = (y2 - y1)/(x2 - x1)
Slope is denoted by m. Therefore,
For line A,
y1 = - 1
y2 = 3
x1 = 2
x2 = 3
Slope, m = (3 - - 1)/((3 - 2) = 4/1 = 4
For line B,
y1 = 5
y2 = 1
x1 = - 2
x2 = 0
Slope, m = (1 - 5)/((0 - - 2) = - 4/2 = - 2
When solid ferric sulfite is in equilibrium with its ions, what is the ratio of ferric ion to sulfite ion present in the solution? Explain a little bit about the answer.
Answers
The ratio of ferric ion to sulfite ion present in a solution when solid ferric sulfite is in equilibrium with its ions depends on the balanced chemical equation for the dissociation of the compound.
Ferric sulfite, also known as iron(III) sulfite, has the chemical formula Fe2(SO3)3. When it dissolves in water, it dissociates into its constituent ions: ferric ions (Fe3+) and sulfite ions (SO3^2-).
The balanced chemical equation for this dissociation is:
Fe2(SO3)3(s) → 2Fe3+(aq) + 3SO3^2-(aq)
From this equation, we can see that for every one molecule of ferric sulfite that dissolves, two ferric ions and three sulfite ions are formed.
Therefore, the ratio of ferric ion to sulfite ion present in the solution is 2:3. This means that for every two ferric ions, there are three sulfite ions.
To summarize:
- When solid ferric sulfite is in equilibrium with its ions in solution, the ratio of ferric ion to sulfite ion is 2:3.
- This ratio is based on the balanced chemical equation for the dissociation of ferric sulfite: Fe2(SO3)3(s) → 2Fe3+(aq) + 3SO3^2-(aq).
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maria is driving 730 kilometers from montgomery alabama to orlando florida for vacation if 1 mile =1.609 kilometers, approximately how many miles does maria drive
Answers
Hope this helps! :)
The conversion of 730 km into miles is 456.70 miles so Maria drives 456.70 miles.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.
Distance = 730 kilometers.
Since given that,
1 mile =1.609 kilometers
So,
1 kilometer = 1/1.609 miles
So,
730 kilometers = 730 × 1/1.609 miles
⇒ 456.70 miles
Hence "The conversion of 730 km into miles is 456.70 miles so Maria drives 456.70 miles".
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A certain pickup truck gets 14 mpg in the city and 21 mpg on the highway. If the driver drives 220 mi on 12 gal of gas, determine the number of city miles and
highway miles that the truck was driven?
Answers
Which of the of the following statements is true with respect to a simple linear regression model? a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1. O b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative. O C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant. O d. all of the above is true. e. none of the above is true.
Answers
Answer:
d. All of the above are true
Step-by-step explanation:
All of the following statements,
a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.
b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.
C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.
are true
find the coordinates of the point where the line 2x+2y=18 meets the circle (x-2)^2+(y-3)^2=16
Answers
The two points where the line meets the circle are (3,6) and (8,3).
To find the coordinates of the point where the line 2x+2y=18 meets the circle (x-2)^2+(y-3)^2=16, we need to first solve the system of equations.
We can start by simplifying the equation of the line by dividing both sides by 2, giving us x+y=9. We can then substitute y=9-x into the equation of the circle,
which results in (x-2)^2+(9-x-3)^2=16. Simplifying this equation yields x^2-4x+4+x^2-12x+81=16. Combining like terms and solving for x, we get x=3 or x=8.
Substituting these values back into the equation of the line gives us the corresponding y-coordinates of 6 and 3, respectively.
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Determine if segments JK and LM are parallel, perpendicular, or neither.
J(-10, -7) K(-4, 1) L(-1, 1) M(-6, -2)
Answers
Answer:
perpendicular
Step-by-step explanation:
the lines meet together
Math in the Real World Terrell plotted points on the coordinate plane as shown. He noticed that the points lie on a straight line. Write an equation that shows the relationship between the x- and y-coordinate of each point Terrell plotted. Then use the equation to find the y-coordinate of a point on the line with an x-coordinate of 20. YA 10 8 6 2 (5.2) (9,6) (8,5) (3, 0) 0 2 4 6 8 10 x
POINTS:50 (EMERGENCY!)
Answers
(20,14)
Not much to explain here
A group of hikers were travelling along the Silk Road in hopes of selling their silk with people of the town. The weather was good the first day, allowing them to travel 17.26 miles. If the hikers travel the same distance for the next 5 days, how far will they have travelled during their 6-day journey?
Answers
The group of hikers travelled 103.56 miles during their 6-day journey.
EquationEquation is an expression which is used to show the relationship between two or more variables and numbers.
Let x represent the total distance travelled during the journey.
Given that he travel 17.26 miles in the first day, hence:
x = 17.26 * 6 = 103.56The group of hikers travelled 103.56 miles during their 6-day journey.
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Malik is building a ramp with a base of 4 feet and a vertical height of 2 feet what is the length of the ramp rounded to the nearest tenth
Answers
Kelli swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 6 minutes. If the river flows at 5 km/hr, how fast can Kelli swim in still water?
Answers
Answer:
6.11km/hr
Step-by-step explanation:
Let the speed that Kelli swims be represented by Y
Speed of the river = 5km/hr
Distance = Speed × Time
Kelli swam upstream for some distance in one hour
Swimming upstream takes a negative sign, hence:
1 hour ×( Y - 5) = Distance
Distance = Y - 5
She then swam downstream the same river for the same distance in only 6 minutes
Downstream takes a positive sign
Converting 6 minutes to hour =
60 minutes = 1 hour
6 minutes =
Cross Multiply
6/60 = 1/10 hour
Hence, Distance =
1/10 × (Y + 5)
= Y/10 + 1/2
Equating both equations we have:
Y - 5 = Y/10 + 1/2
Collect like terms
Y - Y/10 = 5 + 1/2
9Y/10 = 5 1/2
9Y/ 10 = 11/2
Cross Multiply
9Y × 2 = 10 × 11
18Y = 110
Y = 110/18
Y = 6.1111111111 km/hr
Therefore, Kelli's can swim as fast as 6.11km/hr still in the water.
PT.1 Kelli swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 6 minutes. If the river flows at 5 km/hr, how fast can Kelli swim in still water?
Choose the most logical value for the variable to represent.
Let x = Kelli's swimming speed in still water
PT.2 Which expression represents the distance Kelli traveled upstream?
1(x – 5)
PT.3 Which expression represents the distance Kelli traveled downstream?
0.1(x + 5)
PT.4 Solve the equation x – 5 = 0.1(x + 5) for x. Round your answer to the nearest hundredth. Kelli can swim about 6.11 km/hour.
1. Find f(-2) if : *
f (x) = 4 |x – 4| + 2
-20
28
32
26
Answers
Answer: 34
f(-2) means inserting 'x = -2' into the equation.
x = -2
4*|-2 -4| +2
= 4*|-8| + 2
= 4*8 + 2
= 32 + 2
= 34
Find the perimeter of the window to the nearest tenth.
A semi-circular windowpane with radius labeled 20 centimeters
Answers
Answer:
102.8 cm
Step-by-step explanation:
The perimeter of a semicircle is the sum of the length of the diameter and the length of the curved edge. The curved edge is half the circumference of a circle with the same radius.
perimeter = diameter + curved edge
= 2r +1/2(2πr) = r(2 +π)
= (20 cm)(2 +π) ≈ 102.8 cm
The perimeter of the window is about 102.8 cm.