Answers
Answer:
8. 14
9. 720
Step-by-step explanation:
Both questions are asking you to find the GCD (Greatest Common Divisor) and LCM (Lowest Common Multiple).
8. Find the greatest number that can divide 392 and 462 exactly.
Find the GCD of 392 and 462:
1. Find the prime factorization of 392
2^3 × 7^2 (2 × 2 × 2 × 7 × 7)
2. Find the prime factorization of 462
2 × 3 × 7 × 11
3. To find the GCD, multiply all prime factors common to all numbers
GCF = 2 × 7, therefore GCD = 14.
9. What is the smallest number that is divisible by 20, 48, and 72?
Find the LCM of 20, 48, and 72:
1. Find the prime factorization of 20
2^5 (2 × 2 × 5)
2. Find the prime factorization of 48
2^4 x 3 (2 × 2 × 2 × 2 × 3)
3. Find the prime factorization of 72
2^3 x 3^2 (2 × 2 × 2 × 3 × 3)
4. To find the LCM, multiply all prime factors
LCM = 2^4 × 3^2 × 5 (2 × 2 × 2 × 2 × 3 × 3 × 5), therefore GCF = 720
Calculator Input:
The easiest way to find the GCD or LCM of 2 or more numbers is by using a scientific calculator. Input GCD(x,y) or LCM(x,y) for the answer. This will work for any amount of numbers as long as the input is logical.
For questions 8 and 9, you would type in GCD(392,462) and LCM(20,48,72).
Not all calculators are made the same, so other labels might be GCF or HCF instead of GCD, and LCF instead of LCM. I use GCD and LCM because that's how it is on my calculator. There isn't any difference, so using any label is fine.
Related Questions
Help help help help hell
Answers
Answer:
51°
Step-by-step explanation:
angle2 is equal to 51 degrees
Answer:
∠2 = 51°
Step-by-step explanation:
These are consecutive interior angles that add up to 180°. Same as the other problem, you can solve for the angle like this:
[tex]x+129=180\\x=51[/tex]
Marie bought 1/2 gallon of milk, which she finished after 6 days, If she drank the same amount of milk each day, how many gallons in a day did she drink?
Answers
Answer:
Marie drunk 0.083 gallons of milk each day
which is greater?
1.4 or 1.41421356237
Answers
Answer:
1.41421356237
Step-by-step explanation:
After every decimal place value, or decimal point, there are infinite rows of invisible 0's
In 1.4, there are countless invisible 0's, which would look like this
1.40000000000000000...
Same for 1.41421356237
1.4142135623700000000...
So now, you can compare and see that 1.41421356237 has a 1 in the hundredths place, while 1.4 has a 0 in the hundredths place
Thus, 1.41421356237 is greater than 1.4
The electric bills of household in a state are normal distribution the average of $85 with a standard deviation of $8. A sample of 25 households are selected random. Find the probability that the mean bill is less than $83.
Answers
Answer:
0.106
Step-by-step explanation:
We can plug this into normalcdf using the following values:
Lower bound = -1000
Upper bound = 83
Mean = 85
Standard deviation = pop. standard deviation / √(sample size) = 8/5 = 1.6
what is the value of x in x(a+b)=b(c-x)
Answers
Answer:
x = [tex]\frac{bc}{a+2b}[/tex]
Step-by-step explanation:
x(a + b) = b(c - x) ← distribute parenthesis on both sides
ax + bx = bc - bx ( add bx to both sides )
ax + 2bx = bc ← factor out x from each term on the left side
x(a + 2b) = bc ← divide both sides by (a + 2b)
x = [tex]\frac{bc}{a+2b}[/tex]
x+3<9 answer pls 2x+5<12
Answers
Answer:
first one: x<9 second: x<3.5 or 7/2
Step-by-step explanation:
first: substract 3 from both sides
second: substract 5 and then divide by 2
On the 1st January 2014 Carol invested some money in a bank account.
The account pays 2.5% compound interest per year.
On 1st January 2015 Carol withdrew £1000 from the account.
On 1st January 2016 she had £23517.60 in the account.
Work out how much Carol originally invested in the account.
Answers
Answer:
didn't know how to workout iam only 3rd standard
Answer:
Step-by-step explanation:
bubble gum
judy gave 1/9 of her candies that she had to janet. with what she had remaining, she gave 1/2 to her brother. Judy now has 12 candies left. how many candies did she have at the beginning?
Answers
Write an equation for a line passing through the points (-1, 8) and (0, 5).
Answers
Answer:
y=-3x+5
Step-by-step explanation:
y=mx+c
point 1: (-1;8)
point 2: (0;5)
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{5 - 8}{0 - ( - 1)} [/tex]
[tex]m = - \frac{ 3}{1} [/tex]
[tex]m = - 3[/tex]
subs point and gradient to get c
5=-3(0)+c
Therefore c=5
The equation is y=-3x+5
How would the expression x3 -3 sqrt 3 be rewritten using difference of cubes?
O A. (x- 13 )(x2-3x - 3)
O B. (x+ 3)(x + 13 x + 3)
C. (x - 13 )(x2 + 3x + 3)
O D. (x- vb)(x2 + v3 x+3)
Answers
Answer:
x^3 - (√3)^3
I'm not so sure since it's not even an option
Step-by-step explanation:
x^3 - 3√3 = x^3 - 3^1 × 3^(1/2)from the laws of indices: 3^1 × 3^(1/2) = 3^(1 + 1/2)= 3^(3/2) which is the same as (√3)^3so it could be written as x^3 - (√3)^3Suppose you have 57 coins in a jar consisting entirely of dimes and quarters, worth a total of $10.65. How many dimes are in the jar?
Answers
Answer:
24
Step-by-step explanation:
Let d represent the number of dimes. Then (57-d) is the number of quarters, and the total value (in cents) is ...
10d +25(57 -d) = 1065
-15d +1425 = 1065 . . . . . . simplify
-15d = -360 . . . . . . . . . . subtract 1425
d = -360/-15 = 24 . . . divide by the coefficient of d
There are 24 dimes in the jar.
WILL GIVE BRAINLYIEST Rita goes to the mall. If x is the number of items she bought, the expression 18.54x+23 gives the amount she spent in dollars at one store. Then she spent 25 dollars at another store. Find the expression which represents the amount Rita spent at the mall. Then estimate how much Rita spent if she bought 2 items.
Answers
I only know the first part (the expression which represents the amount Rita spent at the mall)
18.54x + 48
What is the y-intercept of a line that has a slope of -3 and passes through point (-5, 4)?
О-17
О-11
O-7
O-19
Answers
Answer:
0, -11
Step-by-step explanation:
y-4=-3(x-(-5))
y-4=-3x-15
y=-3x-15+4
y=-3x-11 the ordered to the origin is -11
the y-intercept is at the point (0, -11)
Hope this helps
you have to solve for X
Answers
Answer:
x = 5/8Step-by-step explanation:
(1/2) / 4 = x / 51 / 8 = x / 5x = 5 / 8Done
find the divergence and curl of the vector
F=(3x²y² +2z)i + (3x² + y +yz )j - (3x²z² +2yx + xyz)k
Answers
Divergence:
div(F) = ∂(3x²y² + 2z)/∂x + ∂(3x² + y + yz)/∂y - ∂(3x²z² + 2yx + xyz)/∂z
div(F) = 6xy² + 1 + z - 6x²z - xy
Curl:
curl(F) = [∂(3x² + y + yz)/∂z + ∂(3x²z² + 2yx + xyz)/∂y] i
… … … … … - [∂(3x²y² + 2z)/∂z + ∂(3x²z² + 2yx + xyz)/∂x] j
… … … … … + [∂(3x²y² + 2z)/∂y - ∂(3x² + y + yz)/∂x] k
curl(F) = (-xz - 2x - y) i + (6xz² + yz + 2y + 2) j + (6x - 6x²y) k
The total length of 3 pipes is 24 inches. The middle-sized pipe is 6 inches longer than the smallest. The largest is twice as long as the smallest. How long is the middle-sized pipe?
Answers
Answer:
18
Step-by-step explanation:
let the be x
if the middle sized pipe is 6 inches longer than the smallest.
so 24 subtract from 6=18
−4 1/2÷(−2 2/3) i need help
Answers
Answer:
[tex]1\frac{11}{16}[/tex]
Step-by-step explanation:
Convert mixed numbers into improper fractions.
= [tex]\frac{-\frac{9}{2}}{\left(-2\frac{2}{3}\right)}[/tex]
= [tex]\frac{-\frac{9}{2}}{\left(-\frac{8}{3}\right)}[/tex]
= [tex]\frac{\frac{9}{2}}{\frac{8}{3}}[/tex]
= [tex]\frac{9\cdot \:3}{2\cdot \:8}[/tex]
= [tex]\frac{27}{2\cdot \:8}[/tex]
= [tex]\frac{27}{16}[/tex]
Convert improper fraction into mixed number.
= [tex]1\frac{11}{16}[/tex]
-
16
if you dont wear a retainer after braces can your teeth still be straight without wearing one cause mine still are and its been 6 months?
Answers
Find the value of the variable.
Answers
Answer:
Step-by-step explanation:
Draw a line from S to T'
T' is where the angle PTQ intersects the circle when SR is extended so that it hits the circumference of the circle.
This line bisects the 50 degree angle (which is given. It also bisects PRS.
y is shown on the diagram.
Your first job is to find y
It's y + 90 + 25 = 180 because all triangles are made up of 180 degrees.
y it turns out is 65 degrees.
Now comes the interesting part. PRT' is supplementary to y. It is labeled as 180 - y
<PRT' + Y = 180
y = 65
<PRT' = 180 - 65 = 115
Since PRT' = 115 and since PR = PT' (They are both radii). x/2 + x/2+ 115 = 180 I'll talk about x/2 down below this.
x + 115 = 180 All triangles = 180
x = 65.
Where did x/2 come? As long as PTQ is situated on the arc that it is on then <PTQ is always going to be x. You will have to piece together the two diagrams to make this work.i
It's a very good application of circles and lines well worth your time to get to know.
In a video game, Adrien earns 5 bonus spins on each of the first three levels and 2 bonus spins on each of the next three levels. How many bonus spins does Adrien earn on all six levels?
Answers
Answer:
I think the answer is 21.
Step-by-step explanation:
So, there are 5 spins for 3 levels + 2 spins for another 3 levels. This would be 5(3)+2(3)
15+6
21
HELLLP PLSSS QUICK
29 + 9x ≤ 65
solve for x
Answers
Answer:
x <= 4
Step-by-step explanation:
29+9x<65
-29. -29
9x<36
divide both sides by 9
x less than or equal to 4
Answer:
x ≤ 4
Step-by-step explanation:
29 + 9x ≤ 65
subtract 29 from both sides
29 - 29 + 9x ≤ 65 - 29
9x ≤ 36
divide both sides by 9
9x / 9 = x and 36 / 9 = 4
we're left with x ≤ 4
How do you solve radical word problems
Answers
Answer:
1) Isolate the radical symbol on one side of the equation
2) Square both sides of the equation to eliminate the radical symbol
3) Solve the equation that comes out after the squaring process
4) Check your answers with the original equation to avoid extraneous values
Step-by-step explanation:
Statsssssssssssssssssssssssssssss
Answers
6(2u) what is the answer
Answers
12u
there's no step by step
It costs 3 tickets to play a game at the fair. If you spent 21 tickets on the game, which equation could you use to solve for the number of games, g?
Answers
Answer:
3×g=21
..............
What is the solution to the trigonometric inequality sin(x)>1+cos(X) over the interval 0<=x<=2pi radians?
Answers
Answer:
Last choice
Step-by-step explanation:
First, convert (sinx)^2 to 1-(cosx)^2 via trigonometric identity derived from (sinx)^2 + (cosx)^2 = 1
[tex]\displaystyle \large{\sin^2x + \cos^2x=1 \longrightarrow \sin^2x=1-\cos^2x}[/tex]
Thus, the rewritten inequality is [tex]\displaystyle \large{1-\cos^2x>1+\cos x}[/tex]
Notice how the inequality has a quadratic pattern since we have (cosx)^2 and cosx in the inequality, simply arrange degrees in order.
[tex]\displaystyle \large{1-\cos^2x>1+\cos x}\\\displaystyle \large{0>1+\cos x-1+\cos^2x}\\\displaystyle \large{0>\cos x+\cos^2x}\\\displaystyle \large{\cos^2x+\cos x < 0}[/tex]
Then we factor cosx since the expression has cosx as a common factor.
[tex]\displaystyle \large{\cos x(\cos x+1)<0}[/tex]
Then we have to consider each inequalities which are cosx<0 and cosx+1<0 then merge both intervals once obtaining the solutions.
(1) [tex]\displaystyle \large{\cos x < 0}[/tex]
This inequality means that we have to find the x-value(s) that satisfy(ies) it.
Since cosx becomes negative after π/2 (Refer to unit circle, cosx becomes negative in second quadrant and this quadrant), that means it becomes negative until it reaches or < 3π/2.
Thus, [tex]\displaystyle \large{\frac{\pi}{2}<x<\frac{3\pi}{2}}[/tex] is the solution to cosx > 0.
The another way to solve inequality is to find the intersections by solving the equation then joint the interval together.
[tex]\displaystyle \large{\cos x<0 \longrightarrow \cos x=0}[/tex]
From the unit circle, cosx becomes 0 at x = π/2 and x = 3π/2 between interval [0,2π]
Therefore:
[tex]\displaystyle \large{\cos x = 0 \longrightarrow x = \frac{\pi}{2}, \frac{3\pi}{2}}\\\displaystyle \large{\boxed{\frac{\pi}{2}<x<\frac{3\pi}{2}}}[/tex]
(2) [tex]\displaystyle \large{\cos x+1<0 \longrightarrow \cos x <-1[/tex]
For this inequality, it appears that there have no solutions because cosine function is defined between [-1,1] in range hence there are no x-values in real plane that make cosx even less than -1.
Because only π satisfies cosx = -1 but not cosx < -1, we restrict π and every values.
Hence no solutions which cause a break of interval between π and π/2 < x < 3π/2
If you substitute x = π in, the inequality is false and therefore the answer is:
[tex]\displaystyle \large{\frac{\pi}{2}<x<\pi, \pi<x<\frac{3\pi}{2}}[/tex]
Answer:
D.
Step-by-step explanation:
The first two don't work, so it's between the last two.
This equation doesn't work for 180, so the answer is the last choice.
:)
A ant runs 45 inches in 15 seconds, a snail crawls 12 inches in 3 seconds. Who is faster? I need help please and thank you :)
Answers
12in/ 3 sec = 4 in/sec
The snail moves at a faster rate then the ant does
Answer:
the snail
Step-by-step explanation:
in order to find who is faster you have to find how many inches each one does in one sec
Ant= 45/15 which is 3 inches per sec.
snail=12/3 which is 4 inches per sec.
so from the above calculations we can see that according to the question given a snail crawls faster than an ant runs
I hope this helps
PLEASE HELP!! DUE SOON!!! WILL GIVE 5 STARS ALONG WITH A HEART!!!
Answers
Answer:
8
Step-by-step explanation:
PLEASE HELP ASAP I REALLY NEED HELP
Evaluate the function for x = 2 and x = 7, when f(x) = -4x + 61
Answers
for x=2....value will be 53
for x=7.....value will be 33
brainliest......
Michael has 13 dollars in his wallet. His father gives him his allowance for the week. Now Michael has 18 dollars. How many dollars did Michael's father give him?
Answers
Answer: 5 Dollars
Step-by-step explanation: You only have to substract 13 of 18, the answer of that is 5.
Michaels after give him $5
