Answer:
12
Step-by-step explanation:
Given two fractions:
One - fourth and Five - Sixths.
To find:
The common denominator that can be used for the given fractions.
Solution:
First of all, let us have a look at the given fractions:
First fraction is:
[tex]\dfrac{1}{4}[/tex]
Second fraction is:
[tex]\dfrac{5}{6}[/tex]
The denominators of the fractions are 4 and 6.
To find a common denominator, we need to take LCM (Least Common Multiple) of the two denominators.
LCM is the least number which is divisible by the two numbers.
Let us find the LCM by factorization method.
4 = 2 [tex]\times[/tex] 2
6 = 2 [tex]\times[/tex] 3
The common number are taken once and other number which are not common are taken as it is.
So, the LCM is 2 [tex]\times[/tex] 2 [tex]\times[/tex] 3 = 12
The numbers can be written as:
[tex]\dfrac{3}{12}, \dfrac{10}{12}[/tex]
Therefore, 12 can be used as the common denominator.
Express 9/10 in simplest form.
Answer:
9/10 in simpliest form is 9/10
Step-by-step explanation:
In order to simplify a fraction there must be:
1. A number that will divide evenly into both the numerator and denominator so it can be reduced. No such number exists for 9 and 10.
or
2. The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number. 9 is not greater than 10.
9/10 as a decimal: 0.9
9/10 as a percent: 90%
The domain of rational function g is the same as the domain of rational function f. Both f and g have a single x-intercept at x = -10. Which equation could represent function g?
A.
g(x) = 10f(x)
B.
g(x) = f(x + 10)
C.
g(x) = f(x) + 10
D.
g(x) = f(x) − 10
Answer:
A
Step-by-step explanation:
We know that both functions f and g have a single -intercept at x = -10.
Therefore, when transforming f, we should not have any vertical/horizontal translations as this will shift g away from the zero at x = -10.
For B, this is a horizontal translation of 10 units to the left.
For C, this is a vertical translation of 10 units upwards.
And for D, ths is a vertical translation of 10 units downwards.
Therefore, the only choice that does not represent a vertical/horizontal translation is A.
A is f vertically strectched by a factor of 10.
This will not affect the zeros of f and g.
You can picture this using the parent parabola function: y = x².
If we shift this vertically or horizontally, the zeros will change.
However, any vertical shift such as y = 2x², y = 10x², or even y = 100x², the zero will still remain at x = 0.
Answer:
A. g(x) = 10f(x)
Step-by-step explanation:
Given that P(A) = 0.5, P(B) = 0.2, and P(A and B) = 0.1, which best describes the relationship between events A and B?
Answer: Events A and B are independent.
=============================================
Explanation:
Note how,
P(A)*P(B) = 0.5*0.2 = 0.1
which matches exactly with P(A and B) = 0.1
Therefore,
P(A and B) = P(A)*P(B)
is a true statement. This further leads to events A and B being independent.
Is the following relation a function? (-2,-2) (2,8) (3,2) (3,1) (7,-5)
Help pls I need help
Answer:
The slope is (-3,1)
Step-by-step explanation:
A javelin thrower knows that the angle from the ground their javelin sits when landing is 140° What is the second angle formed with the javelin and the ground? Assume the ground is a straight line. Show all work in solving for the angle measure.
Answer:
40°
Step-by-step explanation:
the ground is a straight line, which is 180°
its just 180°-140°=40°
Water is added or drained from a tank each day. The first day, 9/10 of a gallon is added to the empty tank. The second day, 7/10 is drained from the tank. The third day, 8/10 of a gallon is added to the tank. The fourth day, 6/10 of a gallon is drained from the tank. The amount of water in the tank after 15 days is given by
9/10 + (-7/10) + 8/10 + (-6/10) + . . . + 3/10 + (-1/10) + 2/10.
How much water is in the tank after 15 days? Write your answer as a decimal.
Answer:
sdjjjjgffd
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is 2x+y=3
Answer:
ok so a slope is 2 corrdanates anywhere ont he graph so sove for x first then y then that one of your angles
Step-by-step explanation:
Step-by-step explanation:
2x-3-y
x=3. _ y
__. ___
2. 2
x = 3 - y
____
2
x = 3-y
___
2. , YER
The least common denominator of[tex]\frac{1}{6} and \frac{5}{12}[/tex] is 12.
TrueFalse
kayla thought of a number, added 4, multiplied by 3, subtracted 5, and got 28 as her final result. what number did she start with?
Answer:
21
Step-by-step explanation
Choose the equation below that represents the line passing through the point (1, -- 4) with a slope of 1/2. (1 point)
Oy -4 = 1/2(x - 1)
Oy + 4 = 2(x - 1)
Oy+ 4 = 1/2 (x - 1)
Oy - 4 = 2(x + 1)
Kevin's net pay.
Kevin earns $6.50 an hour and worked 60 hours last month. During the month he
received $148 in tips. He also used his employee food discount and chose to have
the cost of his meals deducted from his paycheck
If Kevin had $21 deducted last month for meals, what was his net pay?
Kevin's
Monthly
Pay
Calculating Your Income
Regular Pay
$ 390
Tips
$ 148
Gross Pay
$
Payroll Taxes
$77
Other Deductions
S
Net Pay
$
Answer:
Net pay of Kevin is $440
Step-by-step explanation:
Pay per hour = $6.50
Total Hours worked= 60 hours
Total pay for 60 hours worked = 6.50 x 60 = $390
Amount received as tips = $148
Now, his pay would be: 390+148 = $538
Amount deducted for meals = $21
Now his pay would be = 538-21 = $517
Now, Pay of Kevin is $517
Payroll taxes deducted from pay = $77
Net pay of Kevin= 517-77 = &440
A science teacher wrote the table of values below.
Amount of Hydrogen vs. pH
Answer: f(x)= log1/x, x≠0
Step-by-step explanation: trust
The functional model is a logical description of the functionalities (activities, events, procedures, and procedures) of the simulation model or content matter.
Function models:
As per the given question, below is a list of values provided by a science teacher.
What function is responsible again for tables representing data that are
The chart with x and f(x) has been provided below.
The table shows that if [tex]x = \frac{1}{10}[/tex] then [tex]f(x) =1[/tex]
Using the logarithm rule that is:
[tex]\log (10) = 1 \\\\\log (100) = 2.[/tex]
Substituting the values of x in [tex]f(x)= \log \frac{1}{x}[/tex]
When
[tex]x = \frac{1}{10}\\\\f(x)= \log \frac{1}{\frac{1}{10}}[/tex]
We can write it [tex]f(x) = \log(10) = 1[/tex]
If
[tex]x = \frac{1}{100}\\\\f(x)= \log \frac{1}{\frac{1}{100}}[/tex]
We can write it [tex]f(x) = \log(100) = 2[/tex]
Therefore, the final answer is "[tex]f(x)= \log \frac{1}{x} , x =/ 0[/tex]".
Find out more about the function models here:
brainly.com/question/11989600
A'roll of cookie dough is 8.4 inches long. If we want to cut out 12 equal sections to make
12 cookies, how long will each section be?
Answer:
each section will be .7 inches long
Step-by-step explanation:
8.4/ 12
HELLPPPP MEEEE!!!!!!!!!!
Answer:
it is c im a 7th grader imjasmine
What is the measure of minor arc eg ? 17° 75° 149° 211°
The measure of minor arc eg is 149 degrees
The MEasure of the arc of an angleGiven the following parameters
arcGF = 83 degrees
arcEF = 66 degrees
The measure of arcEG is expressed as:
arcEG = arcGF + arcEF
arcEG = 83 + 66
arcEG = 149degrees
Hence the measure of minor arc eg is 149 degrees
Learn more on angles here: https://brainly.com/question/25770607
Answer: 149
Step-by-step explanation: edge 2023
Alec's password consists of 1 letter and 4 digits. What is the probability of correctly guessing Alec's password?
Answer:
[tex]\frac{1}{233974}[/tex] (1 out of 233974 chance of correctly guessing Alec’s password)
Step-by-step explanation:
First Part (letter in the password):
There are 26 letters in the alphabet, and there is only one letter in Alec’s password. So for that part, you have [tex]\frac{1}{26}[/tex] chance in finding the letter in the password.
Second Part (4 digit number in the password):
For the next part, the problem says that it’s a four digit number. So, out of all the numbers there are, what place value has four digits? It would be the thousands. That means from 1,000 to 9,999 (not including 10,000 too because that’s 5 digits) is the range of all the possible 4 digit numbers. So, how many numbers are in the range of 1,000 through 9,999? Well, all you do is subtract 1,000 from 9,999 (can be written as 9,999 - 1,000) and that equals 8,999. This means that there are 8,999 possible 4 digit numbers that can be guessed in Alec’s password. So that means you will have a 1 out of 8,999 chance in finding the 4 digit number in Alec’s password. This can be written as [tex]\frac{1}{8999}[/tex].
Final Part (solving it):
Finally, you need to multiply the two chances together (the chance in finding the letter times the change of finding the 4 digit number). This can be written as [tex]\frac{1}{26}[/tex] × [tex]\frac{1}{8999}[/tex], which equals [tex]\frac{1}{233974}[/tex].
Answer: [tex]\frac{1}{233974}[/tex] (1 out of 233974 chance of correctly guessing Alec’s password)
I hope you understand and that this helps with your question! :)
make sure that during these hard times you are still taking care of yourself. drink plenty of water and walk around for a bit. (if you are unable to do those things then take some time out of your day to look at something positive.) stay safe and have a great day! happy holidays, love you all!! <3 :))))
Answer:
thxxxxx ;)
Step-by-step explanation:
Answer:
~You made me smile~
Have a wonderful day!!!!
i need help please !
Jazz buys a bag of lolipops from the store, where each lolipop costs $0.45. She wants to sale them at school and marks up the price 95%. How much would you pay for one of Jazz's lolipops at school?
Answer:
I see what's happening here
You're face to face with greatness
And it's strange
You don't even know how you feel
It's adorable
It's nice to see that humans never change
Open your eyes, let's begin
Yes it's really me, breathe it in
I know it's a lot, the hair, the bod
When you're staring at a demigod
So what can I say except
You're welcome
For the tide, the sun, the sky
Hey, it's okay, it's okay
You're welcome
I'm just an ordinary demiguy
What can I say except
You're welcome
For the tide, the sun, the sky
Hey, it's okay, it's okay
You're welcome
I'm just an ordinary demiguy
Honestly, I can go on and on
I could explain every natural phenomenon
The tide, the grass, the ground
Oh, that was me I was messing around
I killed a snake, I buried its guts
Sprouted a tree, now you've got coconuts
What's the lesson?
What is the takeaway?
Don't mess with Maui when he's on a breakaway
And the tapestry here in my skin
Is a map of the victories I win
Look where I've been, I make everything happen
Look at that mean mini Maui just tikkity tappin'
Singing and scratchin'
Flipping and snappin'
People are clappin', hearing me rappin'
And bring the chorus back in
Well anyway, let me say you're welcome
For the wonderful world you know
Hey, it's okay, it's okay
You're welcome
Well, come to think of it, I gotta go
Hey, it's your day to say
You're welcome
'Cause I'm gonna need that boat
I'm sailing away, away
You're welcome
'Cause Maui's the ultimate guy
You're welcome!
You're welcome!
Step-by-step explanation:
helpppppppppppppppppppp
Answer:
5
Step-by-step explanation:
each question is worth 4%
Select the correct answer. If A= and Ab= what is the value of matrix b
Answer: C. [tex]B=\left[\begin{array}{ccc}1\\3\\-5\end{array}\right][/tex]
Step-by-step explanation: I got this right on Edmentum.
Several operations such as addition, subtraction, multiplication, etc. can be performed on matrices. The value of matrix B is:
[tex]B =\left[\begin{array}{c}1&3&-5\end{array}\right][/tex]
Given that:
[tex]A =\left[\begin{array}{ccc}2&4&-2\\4&-5&7\\2&7&5\end{array}\right][/tex]
[tex]AB =\left[\begin{array}{c}24&-46&-2\end{array}\right][/tex]
Let matrix B be:
[tex]B =\left[\begin{array}{c}a&b&c\end{array}\right][/tex]
The product of A and B is as follows:
[tex]\left[\begin{array}{ccc}2&4&-2\\4&-5&7\\2&7&5\end{array}\right] \times\left[\begin{array}{c}a&b&c\end{array}\right][/tex]
Multiply the rows of A to the column of B. So, we have:
[tex]AB =\left[\begin{array}{ccc}2a+4b-2c\\4a-5b+7c\\2a+7b+5c\end{array}\right][/tex]
This means that:
[tex]\left[\begin{array}{ccc}2a+4b-2c\\4a-5b+7c\\2a+7b+5c\end{array}\right] = \left[\begin{array}{c}24&-46&-2\end{array}\right][/tex]
By comparison, we have:
[tex]2a + 4b - 2c = 24[/tex] --- (1)
[tex]4a - 5b + 7c = -46[/tex] --- (2)
[tex]2a + 7b + 5c = -2[/tex] --- (3)
Multiply (1) and (3) by 2
[tex]2a + 4b - 2c = 24[/tex] --- (1)
[tex]4a + 8b - 4c = 48[/tex] ----- (5)
[tex]2a + 7b + 5c = -2[/tex] --- (3)
[tex]4a + 14b + 10c = -4[/tex] ---- (6)
So, we have:
[tex]4a - 5b + 7c = -46[/tex] --- (2)
[tex]4a + 8b - 4c = 48[/tex] ----- (5)
[tex]4a + 14b + 10c = -4[/tex] ---- (6)
Make 4a the subject in each of the equations
[tex]4a = -46 + 5b - 7c[/tex]
[tex]4a = 48 - 8b + 4c[/tex]
[tex]4a = -4 - 14b - 10c[/tex]
[tex]4a = 4a[/tex]. So, we have:
[tex]-46 + 5b - 7c = 48 - 8b + 4c[/tex] and [tex]-46 + 5b - 7c = -4 - 14b - 10c[/tex]
Simplify both expressions
[tex]-46 + 5b - 7c = 48 - 8b + 4c[/tex]
[tex]5b + 8b - 7c - 4c = 48 + 46[/tex]
[tex]13b - 11c = 94[/tex]
[tex]-46 + 5b - 7c = -4 - 14b - 10c[/tex]
[tex]5b+14b - 7c + 10c = 46-4[/tex]
[tex]19b + 3c = 42[/tex]
Make c the subject
[tex]c = \frac{42 -19b}{3}[/tex]
Substitute [tex]c = \frac{42 -19b}{3}[/tex] in [tex]13b - 11c = 94[/tex]
[tex]13b - 11 \times (\frac{42 - 19b}{3}) = 94[/tex]
Multiply through by 3
[tex]39b - 11 \times (42 - 19b) = 282[/tex]
Open bracket
[tex]39b - 462 + 209b = 282[/tex]
Collect like terms
[tex]39b + 209b = 282+462[/tex]
[tex]248b = 744[/tex]
Solve for b
[tex]b = \frac{744}{248}[/tex]
[tex]b = 3[/tex]
Solve for c
[tex]c = \frac{42 -19b}{3}[/tex]
[tex]c = \frac{42 - 19 \times 3}{3}[/tex]
[tex]c = \frac{-15}{3}[/tex]
[tex]c = -5[/tex]
Solve for a in [tex]4a = -4 - 14b - 10c[/tex]
[tex]4a = -4 - 14 \times 3 - 10 \times -5[/tex]
[tex]4a = 4[/tex]
Divide by 4
[tex]a = 1[/tex]
Recall that matrix B is:
[tex]B =\left[\begin{array}{c}a&b&c\end{array}\right][/tex]
Hence, the value of matrix B is:
[tex]B =\left[\begin{array}{c}1&3&-5\end{array}\right][/tex]
Read more on matrix operations at:
https://brainly.com/question/16956653
1. 7a x 8 =168
2. 7+ 2a =23
3. 6c + 8c =28
Answer:
first is 3, then 8, then it's 2
Answer:
1. a = 3
2. a = 8
3. c = 2
Step-by-step explanation:
7a x 8 = 168
56a = 168 <-- 7a x 8 =56(56a)/56 = 168/56 <-- divide both sides by 56a = 37 + 2a = 23
(7 + 2a) - 7 = 23 - 7 <-- subtract 7 from both sides2a = 16(2a) / 2 = 16/2 <-- divide both sides by 2a = 26c + 8c = 28
14c = 28 <-- 6c + 8c = 14cc = 2 <-- divide both sides by 14What is the length of the hypotenuse of a right triangle if each of the two legs is 6 units? O V12 0-6 O √72 0 36
Answer:
6^2 + 6^2 = hypotenuse^2
hypotenuse^2 = 72
hypotenuse = sqr root (72)
Step-by-step explanation:
Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in slope-intercept form (y = mx + b) with the values of m and b given as decimals, rounded to the nearest hundredth if necessary.
y = 4x ; (2, −4)
The equation is y = .
Answer:
the equation=y
Step-by-step explanation:
What is 3/4 divided by 1/2
Answer:
1 and 1/2
Step-by-step explanation:
Answer: It should be 6/4 if you simplify it well be 3/2 but it is an improper fraction and should be written as 1 1/2.
Step-by-step explanation:
coso + COSB
sino - Sinß
Sino+ Sinß
coso
cos B
please help me
Answer:
amm
Step-by-step explanation:
At a camp, 15 out of 25 boys chose to go swimming. What percent of the boys chose to swim?
Answer:
60%
Step-by-step explanation:
In the camp 15 out of 25 boys chose to go swimming. 15 is 60% of 25, so 60% of boys chose to go swimming.
Percentage:Important information:
15 out of 25 boys chose to go swimming.We need to find the percentage of the boys who chose to swim.
The percentage of the boys who chose to swim is:
[tex]\text{\% of boys who chose to swim}=\dfrac{\text{Boys chose to go swimming}}{\text{Total boys}}\times 100[/tex]
[tex]=\dfrac{15}{25}\times 100[/tex]
[tex]=15\times 4[/tex]
= 60
Therefore, 60% of boys chose to go swimming.
Find out more about 'Percentage' here:
https://brainly.com/question/24877689
David rides the bus every day. He bought a pass good for the month of October for $62. How much was David charged per day for the bus pass?
Answer:
$2
Step-by-step explanation:
there are 31 days in October
62 divided by 31= 2
he spent 2 dollars a day.
Solve the equation.
b – 160 = 26
A. b= 60
B. b= 140
C. b= 186
D. b= 212
Answer:
c. 186 any more help just ask :)
