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What is the LCM (least common multiple) of 2 and 7
Answers
Answer:
14
Step-by-step explanation:
Answer: 14
Step-by-step explanation:
The greatest common multiple of 2 and 7 is 1, because they are both prime numbers (numbers that cannot be divided by anything other than one or themselves).
Why bother with the greatest common multiple?
There's a very sneaky formula you can do to calculate the LCM with this.
\(lcm(a, b) = \frac{|a * b|}{gcd(a, b)}\)
where lcm(a, b) = the least common multiple of integers a and b (1)
a = integer a (2)
b = integer b (7)
gcd(a, b) = greatest common divisor of integers a and b
So let's use it, we have all the available numbers.
\(lcm(a, b) = \frac{|2 * 7|}{1} = 14\)
Related Questions
(offering alot of points) Solve: (x⁴ + 3x³ – 2x² + 5) + (2x⁴ – 5x³ + 4x – 15).
Answers
Answer:
3x^4 -2x^3 -2x^2 +4x -10
Step-by-step explanation:
Add them term by term
Round 219.2 to the nearest whole number
Answers
❄ Hi there,
let us revise the two rounding rules before getting down to the actual process of rounding.
\(\sf{Rules:}\)
If the number you ought to round to is followed by a number from 0 to 4, you round down, or in other words, just drop that number.If the number you ought to round to is followed by a number that's 5 or more, you add 1 to that number.Let's see these rules in action!
The number is – \(219.2\).
Nearest whole number – \(219\), which is followed by a number between 0 and 4, so we just drop that number :
\(\sf{219.2- > > 219}\)
❄
Ill mark you brainlist plz help if you put something random I will report you! I
Answers
Answer:
x = 0
y = 2
Step-by-step explanation:
y = 2
hope this helped !
1. Evaluate the expression -6.3a +2(a - b) for a = -2 and b = 1.1.
0 12.6
10.8
18.8
6.4
Answers
Answer:
D or 6.4
Step-by-step explanation:
-6.3*(-2) + 2(-2 - 1.1)
- 6.3 * - 2 = 12.6 Notice that the two minus signs become a +
(-2 - 1.1)= (-3.1) Multiply -3.1 * 2 = - 6.2
12.6 - 6.2 = 6.4
The ratio of boys to girls in a group is 3:1. If there are 52 more boys than girls, work out how many people there are in total.
Answers
answer is 104
Step-by-step explanation:
let the no. of girls =x
then no. of boys=x+52
A.T.Q
x+52/x=3/1
x=26
hence girls =26
and boys =78
total students =26+78=104
Answer:the ratio of boys to girls now is 21:17 now you just at 21 and 17 which is 38 then that’s the answer.
Step-by-step explanation:
A local theater company is presenting a musical for kids at the community center. Each adult ticket costs $8, and each child ticket
costs $4. On the opening night, the theater company needs to earn at least $1,280 from ticket sales to cover its costs. The communi
center has a capacity of 240 people.
If the solution region represents the number of adult and child tickets that needs to be sold for the theater company to cover its cost
determine which graph represents the solution set to the system of inequalities representing this situation.
Answers
Answer:
Option (1)
Step-by-step explanation:
Let the number of adult tickets sold = x
And the number of child tickets sold = y
Cost of adult tickets sold = $8x
And the cost of child tickets sold = $4y
If the theater company needs to earn at least $1280,
8x + 4y ≥ 1280
2x + y ≥ 320 ---------(1)
Since community center has a capacity of 240 people,
x + y ≤ 240 ----------(2)
By graphing these inequalities with the help of a graphing tool,
Shaded area above the solid line will be represented by inequality (1) (red line)
And the shaded area below the line will be the represented by inequality (2) (blue line)
Common area of both the shaded regions will represent the solution area .
Option (1) will be the answer.
Kristen's financial advisor has given her a list of 8 potential investments and has asked her to select and rank her favorite four. In how many different ways can she do this?
Answers
The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.
The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.
If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:
nPr = n!/{(n - r)!}.
In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.
Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.
Substituting n = 8, and r = 4 in the formula, we get:
8P4 = 8!/{(8 - 4)!}
= 8!/4!
= 5 * 6 * 7 * 8
= 1680.
Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.
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this year Benny is 12 years old and his mom is 48 years old what percent of his mom's age is Benny's age
Answers
Answer:
25%
Step-by-step explanation:
Let's set up a percent proportion:
12/x = 48/100
To solve for x, we would do:
x = (12*100)/48 = 1200/48 = 25
x = 25%
In my opinion, the easiest way to do this would be to look at this and notice that 12 * 4 =48 so that means 12 is 1/4 of 48 and 1/4 = 25%.
Let me know if you have any questions.
find the most general antiderivative of the function. (check your answer by differentiation. use c for the constant of the antiderivative.) f(x) = 7x2/5 2x−4/5
Answers
To find the antiderivative of the function f(x) = 7x^(2/5) * (2x)^(-4/5), we can use the properties of integrals and apply the power rule for integration. Let's break down the expression:
f(x) = 7x^(2/5) * (2x)^(-4/5)
Using the power rule for integration, we add 1 to the exponent and divide by the new exponent:
∫ x^n dx = (x^(n+1))/(n+1) + C
Applying this rule to each term in the function, we get:
∫ 7x^(2/5) * (2x)^(-4/5) dx
= 7 ∫ x^(2/5) * (2x)^(-4/5) dx
= 7 ∫ x^(2/5) * 2^(-4/5) * x^(-4/5) dx
= 7 * 2^(-4/5) ∫ x^[(2/5) + (-4/5)] dx
= 7 * 2^(-4/5) ∫ x^(-2/5) dx
Now, applying the power rule for integration:
= 7 * 2^(-4/5) * [(x^(-2/5 + 1))/(-2/5 + 1)] + C
= 7 * 2^(-4/5) * [(-5/3) * x^(3/5)] + C
= -35/3 * 2^(-4/5) * x^(3/5) + C
So, the most general antiderivative of the function f(x) = 7x^(2/5) * (2x)^(-4/5) is:
F(x) = -35/3 * 2^(-4/5) * x^(3/5) + C
To verify our result, we can differentiate F(x) and check if it matches the original function f(x).
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The equation s2 = 2A represents the area, A, of an isosceles
right triangle with two short sides of length, s. A model sailboat has a sail that is an isosceles right triangle. The sail's area is 9 in.?. What is the length of a short side of the sail?
Show your work.
Answers
The length of the short side of the sail is 4.2 inches
What is the length of a short side of the sail?From the question, we have the following parameters that can be used in our computation:
The equation s² = 2A
This means that
2A = s²
Where
A represents the area
s represents the two short sides of length
using the above as a guide, we have the following:
A = 9
So, we have
2 * 9 = s²
This gives
s² = 18
So, we have
s = 4.2
Hence, the side length is 4.2
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{10, 11, 12, ..., 55}
How many numbers in the above set are divisible by 2 but not by 10?
(A) 17
(B) 18
(C) 19
(D) 21
Answers
Considering concepts of divisibility, the amount of numbers in the set that are divisible by 2 but not by 10 is:
(C) 19.
What are the rules for division by 2 and by 10?Numbers that finish in 0, 2, 4, 6, and 8 are divisible by 2, that is, even numbers are divisible by 2.Numbers that finish in 0 are divisible by 10. Hence, every number that is divisible by 10 is also divisible by 2.The data-set has (55 - 10) + 1 = 46 numbers, hence 23 are divisible by 2. 20, 30, 40 and 50 are also divisible by 10, that is, 4 numbers have to be removed, hence the amount is:
23 - 4 = 19.
Which means that option C is correct.
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Find the slope of the line that passes through each pair of points. (-3,-2) (3, -5)
Answers
Answer:
-1/2
Step-by-step explanation:
1 1/5 divided by 3/10
Answers
Answer: 4. This is because 1 and 1/5 = 1.2 and 3/10 = 0.3 and 1.2 divided by 0.3 = 4. That's because 1.2 can be split into 4 equal groups and each group has 0.3.
pedro is seven years older than his sister, use a number line to represents Pedro’s age
Answers
16. Support the following conjecture with
4 examples or disprove it with a
counterexample. SEE EXAMPLE 5
The quotient of two rational numbers is
rational number.
Answers
\(2\) and \(0\) are two rational numbers but the quotient of \(\frac{2}{0}\) is not a rational number.
The quotient of two rational numbers is always a rational number except when the denominator is \(0\).
As any number divided by \(0\) becomes undefined, which is not a rational number.
For example: \(2\) and \(0\) are two rational numbers but the quotient of \(\frac{2}{0}\) is not a rational number.
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for the following questions assume that lines appear to be tangent are tangent find the value of x figures are not drawn to scale
Answers
To find the value of x, we need to use the fact that the lines appear to be tangent and therefore are tangent.
Tangent lines are lines that intersect a curve at only one point and are perpendicular to the curve at that point. So, if two lines appear to be tangent to the same curve, they must intersect that curve at the same point and be perpendicular to it at that point.
Without a specific problem to reference, it is difficult to provide a more detailed answer. However, generally, to find the value of x in this scenario, we would need to use the properties of tangent lines and the given information to set up an equation and solve for x. This may involve using the Pythagorean theorem, trigonometric functions, or other mathematical concepts depending on the specific problem. It is important to note that if the figures are not drawn to scale, it may be more difficult to accurately determine the value of x. In some cases, we may need additional information or assumptions to solve the problem.
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find the slope intercept form of a line with a slope of -1/2 and passing through a point (6,-1)
Answers
Answer:
y=-1/2x+2
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Pls help ASAP! I will mark the brainliest (IF I GET IT RIGHT)
Answers
Answer:
V=288π
288*3.14=904.32
Step-by-step explanation:
V=4/3π \((6)^{3}\)
V=4/3π 216
V=4π72
V=288π
288*3.14=904.32
What is 7.936 rounded to the hundredths place
Answers
Answer:
7.94 is your answer
Step-by-step explanation:
......
Select the correct answer.
Kathy distributes jelly beans among her friends. Alia gets 42 fewer jelly beans than Kelly, who gets 33 jelly beans. How many jelly beans does Alia get?
A.
42 − 33
B.
33 + 42
C.
4 − 33
D.
33 − 42
E.
32 − 43
Answers
Rectangle abcd is dilated to form rectangle a′b′c′d′. what is the dilation factor? what is the center of dilation? select all that apply
Answers
Answer:
The answer is C
Step-by-step explanation:
if 1200 babies were born in a city in one month and the initial total population size is 2,500,000, what is the annual percent birth rate?
Answers
The annual percent birth rate is 0.576% of the population.
The total number of population in the city in that particular month is given by = 2,500,000
And given the number of babies born in that month in that city is given by = 1200.
If we consider the rate of new born is same then the number of new born babies in that city in that year is = 1200*12 = 14400
Fraction of number of new born babies to the total population of that city in that year is = 14400/2500000 = 18/3125
Thus the percentage of the number of new born babies to the total population of that city in that year is = (18/3125) * 100% = 0.576%.
Hence the annual percent birth rate is 0.576% of the population.
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Which expression is equivalent to 20c-8d? Show all work and circle letter of correct answer.
2(10c+4d)
4(5c-8d)
4(5c-2d)
c(20-8d)
Answer correctly and get brainiest
Answers
Answer: This one is equal to what we were looking for.
4 × 5c = 20 - 8d = 12
Step-by-step explanation:
(20c - 8d = 12) so we are look for an expression that is equal to 20c 8d and 12
2 × 10c = 20 + 4d = 24
4 × 5c = 20 - 8d = 12
4 × 5c = 20 - 2d = 18
c20 - 8d = 12
Question 1
What is the area of a rectangle that is 1/2 feet long and 2/3 feet wide?
Hint: Put the fraction in form
A:3/5
B;1/3
C:2/6
Answers
Answer:
B
Step-by-step explanation:
Area of a rectangle is length multiplied by width. So 2/3 times 1/2 which equals 1/3 or .33333 repeated
Answer:
B. 1/3.
Step-by-step explanation:
The area of a rectangle is represented by the following equation:
Area = width x height
In this case it would look like this:
\(Area = \frac{1}{2} * \frac{2}{3}\)
Now, we solve:
\(Area = \frac{2}{6} \\Area = \frac{1}{3}\)
Therefore, the correct answer is B. 1/3.
Hope this helps!!
- Kay :)
Which of the following best describes a negative linear association? A Variables have no relation to each other when plotted. B As one variable increases, so does the other. C A data set that includes both negative and positive numbers. D As one variable decreases, the other increases.
Answers
The best description of a negative linear association is option D: "As one variable decreases, the other increases."
In a negative linear association, as the value of one variable increases, the value of the other variable decreases, and this relationship is linear or straight. This can be represented by a negative slope on a scatterplot. Option A ("Variables have no relation to each other when plotted") does not describe any type of association, and option C ("A data set that includes both negative and positive numbers") is not specific to linear associations. Option B ("As one variable increases, so does the other") describes a positive linear association, which is the opposite of a negative linear association.
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D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is m∠DEF?
A) 30
B) 45
C) 60
D) 90
Answers
Answer:
m∠DEF = 90
Explanation:
Y’all help please I would appreciate it
Answers
Answer:
-10
Step-by-step explanation:
Your bill at a restaurant is $84.90. What will the tip be if you leave 20% for the server?*
$169.80
$1.70
$16.98
$84.90
Answers
Answer:
$16.90
Step-by-step explanation:
20% of $84.80 is $16.90
Find the 50th term of an arithmetic sequence 5, 10, 15,
20, 25,...
Answers
Answer:
a₅₀ = 250
Step-by-step explanation:
the nth term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 5 and d = a₂ - a₁ = 10 - 5 = 5 , then
a₅₀ = 5 + (49 × 5) = 5 + 245 = 250
Increase 220kg by 12.5%
Answers
Answer:
247.5kg
Step-by-step explanation:
u find 12.5% of 220, then add it
220*12.5% =27.5
220+27.5=247.5