Answer:
72
Step-by-step explanation:
The smallest number that is divisible by two given numbers is called the Least Common Multiple (LCM) of those numbers.
What's the smallest number that is a multiple of 8 and also a multiple of 18?
One way to find out is to start making lists of multiples:
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, and so on,
Multiples of 18: 18, 36, 54, 72, 90, 108, and so on.
This method can be a bit tedious, but in this case, it's clear that 72 is the LCM of 8 and 18.
Another method is to use the prime factorization of the two numbers.
Write 8 and 18 as the product of prime numbers; each number has a unique prime factorization.
8 = 2 x 2 x 2 = 2^3
18 = 2 x 3 x 3 = 2^1 x 3^2
To form the LCM, build a product of primes using the highest exponent in either of the two numbers.
LCM = 2^3 x 3^2 = 8 x 9 = 72.
Yolanda has 3/4 of a cup of sugar. This is 3/5 of what she needs. How much sugar does Yolanda need?
Show your reasoning.
Answer:
[tex]1\frac{1}{4}[/tex] cups
Step-by-step explanation:
1. Info we have3/4=3/5
2. Solving3/4*1/3=3/5*1/3
1/4 = 1/5
1/4*5=1/5*5
5/4=5/5
5/4= 1 and 1/4 cups
Hope this helped! Please mark brainliest :)
~~ SUMMER ~~
Which equation represents a line which is parallel to the y-axis?
x = 6
O y = -1
Submit Answer
O x = 4y
Oy= 2 +1
PLS HELP ASAP
Answer:
x=6
Step-by-step explanation:
when there is no 'y' in equation, the line is always
parallel to y-axis
graph of f(x)= -3x*2+12and g(x)=mx+6
Answer:
see the picture
Step-by-step explanation:
hope it helps you
please follow me please
A submarine that is already at 605 feet below sea level ascends (rises up) 475 feet before descending (sinking down) another 255 feet.
Answer:
-350ft
Step-by-step explanation:
so basically 605 is negative and 255 is a negative then you add those two then it would be -860 then you subtract the positive 475 and that will equal -350
Which expression is equivalent to -0.62u+u+ 0.89u?
0.51u
Ou + 0.27
Submit Answer
1.27u
O 1+ 0.27
Answer:
[tex]⚪ \: \: 1.27 \: u[/tex]
Step-by-step explanation:
[tex] - 0.62u + u + 0.89u \\ = ( - 0.62 + 1 + 0.89)u \\ = 1.27u[/tex]
Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)
Answer: -1, 13
Step-by-step explanation:
mark me brainliest if you want plz
Midpoint formula: (x2 + x1)/2, (y2 + y1)/2
(-6 + 4) / 2, (14 + 12) / 2
(-2) / 2, 26 / 2
(-1, 13)
what’s the equivalent multiplication statement to 9 divide 1/11
Suppose the average yearly salary of an individual whose final degree is a master's is $50 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $124 thousand. Find the average yearly salary of an individual with each of these final degrees.
Bachelor's degree salary = $53000
Master's degree salary = $66000
Step-by-step explanation:
Given that :
Let Salary of bachelor's degree holder = x
Salary of Master's degree holder = 2x - 40000
Master's salary + bachelor's salary = $119,000
Hence,
Master's salary + bachelor's salary = 119,000
2x - 40000 + x = 119,000
3x = 119000 + 40000
3x = 159000
x = 159000 / 3
x = $53,000
Bachelor's degree salary = $53,000
Master's degree salary ; 2x - 40000 ; 2(53000) - 40000 = $106,000 - $40,000 = $66000
The average yearly salary of an individual with a bachelor's degree is $58,000, and the average yearly salary of an individual with a master's degree is $66,000.
Let, the average yearly salary of an individual with a bachelor's degree as "B" and the average yearly salary of an individual with a master's degree as "M".
According to the information given:
The average yearly salary of an individual with a master's degree is $50 thousand less than twice that of an individual with a bachelor's degree:
M = 2B - $50,000
The combined yearly salaries of two people with each of these educational attainments earn $124 thousand:
B + M = $124,000
Now we can solve this system of equations to find the values of B and M.
Substitute the value of M from the first equation into the second equation:
B + (2B - $50,000) = $124,000
3B - $50,000 = $124,000
Now, solve for B:
3B = $174,000
B = $174,000 / 3
B = $58,000
Substitute the value of B back into the first equation to find M:
M = 2B - $50,000
M = 2 * $58,000 - $50,000
M = $116,000 - $50,000
M = $66,000
So, the average yearly salary of an individual with a bachelor's degree is $58,000, and the average yearly salary of an individual with a master's degree is $66,000.
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In which of the following pairs of numbers is -6 larger than the first number, but smaller than the second number?
Answer:
-7, -6, -5
Step-by-step explanation:
-7 < -6
-5 > -6
-7 < -6 < -5
What is the factored form of this expression x^3+3x^2-6x-18
Answer:
(x + 3) (x^2 - 6)
Step-by-step explanation:
Factor the following:
x^3 + 3 x^2 - 6 x - 18
Factor terms by grouping. x^3 + 3 x^2 - 6 x - 18 = (x^3 + 3 x^2) + (-6 x - 18) = x^2 (x + 3) - 6 (x + 3):
x^2 (x + 3) - 6 (x + 3)
Factor x + 3 from x^2 (x + 3) - 6 (x + 3):
Answer: (x + 3) (x^2 - 6)
Can someone help me out?
Answer:
I think it's D.................
2. Shelby and her two friends have 2 pies left after the bake sale after
school. They divide the pies evenly among themselves. How much pie did each
student receive?
Answer:
.67
Step-by-step explanation:
There are three friends and two pies. You are splitting the pies not the people so you divide 2 by 3 to get 0.66666667. Meaning each girl got .67 or around 6/10 of a pie.
Help! write the set of numbers in set-builder notation: the set of all real numbers except 100
Answer:
Step-by-step explanation:
The set of all real numbers except for 100 in set builder notation (assuming the variable is x) is:
The very first x represents the variable.
The second with the R represents the number. Here, we want all real numbers.
And the third is the constraint. We want all real numbers except for 100.
Answer:
{ x | x ∈ R, x ≠ 100 }
Step-by-step explanation:
Real numbers (R) include all rational and irrational numbers.
Hence, If we need to write it in set-builder notation, we will write as:
{ x | x ∈ R, x ≠ 100 }
In words : "x such that x belongs to R, x is not equal to 100"
This shows that x is any real number except for 100.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!The pages in a book are numbered starting with one. The book has 250 pages. How many digits did the printer use in numbering the pages of the book? A. 640 B. 642 C. 320 D. 321
Answer:
B)642
Step-by-step explanation:
Between 1 and 9 , it will use 9 letters
Between 10 and 99, there are 90 different numbers and every number have 2 digits so it will use 180 letters
Between 100 and 250 , there are 151 different numbers and every number have 3 digits so it will use 453 letters
Totally it used 9+180+453=642
What is the prime factorization of 81?
Enter your answer as a product of prime numbers, like 2 x 3, or as a single prime number, like 17.
Answer:
[tex]3^{4}[/tex]
Step-by-step explanation:
81
27 3
9 3
3 3
3*3*3*3 = [tex]3^{4}[/tex]
g(b)=5b-9
h(b)=(b-1)^2
(h*g)(-6) = ???
[tex](h \times \: g)(b) = (b - 1)^{2} (5b - 9) \\ = ( {b}^{2} - 2b + 1)(5b - 9) \\ = 5 {b}^{3} - 19 {b}^{2} + 23b - 9[/tex]
[tex](h \times \: g)( - 6) = 5( - 6) ^{3} - 19( { - 6}^{2}) + 23( - 6) - 9 \\ = 5( - 216) - 19(36) - 138 - 9 \\ = - 1080 - 684 - 138 - 9 \\ = - 1911[/tex]
I hope I helped you^_^
The value of function (h·g)(b) for x=-6 is -867.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are g(b)=5b-9 and h(b)=(b-1)².
Now, (h·g)(b)=h(b)×g(b)
= (b-1)²×5b-9
= (b²-2b+1)×(5b-9)
= b²(5b-9)-2b(5b-9)+1(5b-9)
= 5b³-9b²-10b²+18b+5b-9
= 5b³-10b²+23b-9
Now, (h·g)(-6)
= 5(-6)³-10(-6)²+23(-6)-9
= -1080+360-138-9
= -867
Therefore, the value of function (h·g)(b) for x=-6 is -867.
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Is the following irrational or rational?
ILL GIVE BRAINLIEST
6.4
2.178046372849
-2
The quotient of a number and three tenths decreased by 2 is 6
I believe the answer you are looking for is 2.4.
Solution:
n over 3/10-2=6
n over 3/10=8
Multiply 3/10 and 8
You will get 2.4.
Solve the inequality for v. 40 ≤ 4v
please will mark brainiest.
Hi ;-)
[tex]40\leq4v\\\\4v\geq40 \ \ /:4\\\\v\geq10\\\\\huge\boxed{v\in\langle10;+\infty)}[/tex]
Answer:
[tex]v\geq 10\\[/tex]
Step-by-step explanation:
Divide both sides by 4.
Flip
Write a variable expression to represent the phrase. The difference of a number and 1
Answer:
[tex]x-1[/tex]
Step-by-step explanation:
Hi there!
Let [tex]x[/tex] represent "the number".
The difference of a number and 1
⇒ [tex]x-1[/tex]
I hope this helps!
Help with geometry please
5x+2
2x
Perimeter:
PLEASE HELP
Answer:
14x + 4
Step-by-step explanation:
The perimeter of a rectangle is the sum of all its sides. The rectangle have two sides with length 5x + 2, so:
(5x + 2)×2 = 10x + 4
And it also have two sides with length 2x, so:
(2x)×2 = 4x
And now just add it:
10x + 4 + 4x = 14x + 4
Answer: Perimeter = 14x + 4
Concept:
Here, we need to know how to find the perimeter of a rectangle.
Perimeter (rectangle) = 2 (l + w)
l = length
w = width
If you are still confused, you may refer to the attachment below for a graphical explanation.
Solve:
Given information
l = 5x + 2
w = 2x
Given expression
Perimeter = 2 (l + w)
Substitute values into the expression
Perimeter = 2 (5x + 2 + 2x)
Combine like terms
Perimeter = 2 (7x + 2)
Expand parentheses and apply the distributive property
Perimeter = 2 · 7x + 2 · 2
Perimeter = 14x + 4
Hope this helps!! :)
Please let me know if you have any questions
janessa is playing a board game with two friends. using a single die, one friend rolled a four, and the other friend rolled a three. janessa needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning. Is the probability of Janessa winning an independent event or dependent event
Answer:
It is a dependent event, because it depends of the number she'll get rolling the die
In the figure, ABFG and CDEF are two
10
parallelograms such that the sum of their areas is
702 cm². If AB = CD = EF = FG =
BC , find the
area of the shaded region.
G
F
E
+
Answer:
[tex]A_{BCF}[/tex] = 351 cm²
Step-by-step explanation:
is 5/3 an integer?
Answer:
No!
Step-by-step explanation:
An integer is a a whole negetive number. A few examples are 4, -4, or even 4/4.
What is the value of -2/3 x (-1/4)x(-24/4)
Answer:
-1
Step-by-step explanation:
calculate the mean of the set of boys and girls below:
boys 21, 18, 20, 16, 16, 22, 28, 24, 26
girls 13, 16, 15, 14, 15, 19, 22, 26, 12
A-boys: 21.22 girls: 16.89
b-boys, 21 girls, 15
c-boys 18.5 girls 17
d-boys 18.5 girls 15
Answer:
Boys: 21.22 Girls: 16.89
Answer: A
Step-by-step explanation:
Add all the data points and divide it by the number of the data points.
Ju Chan solved the previous question by finding the expression 4(-15).
Which problem would give the same result? Select two options.
Answer:
-15(4) or -4(15) or 15(-4)
Step-by-step explanation:
As long as you stick with the same variables, you can change their position in the equation or change both of their signs. This should give you the same answer.
Let's say your equation was -2(6). This means you must multiply -2 and 6. This should give you -12. You could also phrase it as 2(-6) or -6(2) or 6(-2). They all give you -12 as a result.
Answer:
(-1)(15+15+15+15)
(-15)+ (-15)+ (-15)+ (-15)
Step-by-step explanation:
In a single throw of two coins,find the probability of getting each of the following:-)
i.)Tails on both
ii)Tails at least on one
iii)Tails on one
iv)No tails
Should be answered by:-)
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other best users
Step-by-step explanation:
1.) two tails :
total no. of outcomes possible is TT,TH,HT,HH
no. of outcomes with TT is 1
p( tails on both) = 1/4
2.) tails at least one:
no. of outcomes with one tails atleast is 3 (TT,th,ht,)
p( atelast one tails) = 3/4
3.) tails on one
no. of outcomes with one tails at most is 2 (th,ht)
p( atmost one tails) is 2/4= 1/2
4. no tails
no. of outcomes with no tails is 1(HH)
p( no tails) = 1/4
hope it's understandable.
Answer:
1.) two tails :
total no. of outcomes possible is TT,TH,HT,HH
no. of outcomes with TT is 1
p(tails on both) = 1/4
2.) tails at least one:
no. of outcomes with one tails atleast
is 3 (TT,th,ht,)
p(atelast one tails) = 3/4
3.) tails on one
no. of outcomes with one tails at most is 2 (th,ht)
p(atmost one tails) is 2/4= 1/2
4. no tails
no. of outcomes with no tails is 1(HH)
p(no tails) = 1/4
f(x) = (x + 1)(x - 5). What is the vertex?
(1,5)
(5.1)
(2.-9)
(-9,2)
Answer:
(2, -9)
Step-by-step explanation:
f(x) = (x + 1)(x - 5)
[tex] =f(x) = {x}^{2} - 5x + x - 5[/tex]
[tex] = f(x) = {x}^{2} - 4x - 5[/tex]
[tex] = f(x) = {1x}^{2} - 4x - 5[/tex]
[tex] = f(x) = {1x}^{2} + ( - 4x) - 5[/tex]
= a = 1, b = -4
[tex] = x = \frac{ - 4}{2 \times 1} [/tex]
[tex] = x = - \frac{ - 4}{2} [/tex]
[tex] = x - ( - 2)[/tex]
[tex] = x = 2[/tex]
= f(x) = (x + 1) x (x - 5); x = 2
= f(2) = -9
= (2, -9)