It is the first time I have a feeling of being a part of this is that the people The
suppose and are positive integers such that the units digit of is , the units digit of is , and the greatest common divisor of and is . what is the smallest possible value of the least common multiple of and ?
Smallest possible value of the least common multiple is 6
a =12 and b=54
In mathematics, the greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers x, y, the greatest common divisor of x and y is denoted as GCD(x,y)=[tex]\frac{x*y}{LCM(x,y)}[/tex]
GCD[12, 54] =[tex]\frac{(12*54)}{106}[/tex]=6
LCM[12, 54] =108
Also a =42 and b= 24 will give the same GCD of 6, but the LCM[42, 24] =168 which is greater than the first one.
Learn more about GCD here:
https://brainly.com/question/942154
#SPJ4
Determine whether the following statement is true or false. Explain.
The graph of y = |x-2|- 2 is a translation two units to the right and two units upward of the graph of y = |x|.
Choose the correct answer below.
A. True, because the graph of y = f(x - h) + k is the translation of the graph of y = f(X) |k| units upward if k= 0 or downward if k < 0, and h units to the right if h> 0 or to the
left if h < 0.
B. True, because the graph of y = f(x- h) + k is the translation of the graph of y = f(x) In| units upward if h = 0 or downward if h < 0, and k units to the right if k> O or to the
left if k < O
C. False, because the graph of y = f(x- h) + k is the translation of the graph of y = f(x) |k| units to the right if k>0 or to the left if k < 0, and h units upward if h downward if h < 0.
D. False, because the graph of y = f(x- h) + k is the translation of the graph of y = f(x) h units to the right if h > 0 or to the left if h < 0, and k units upward if k>downward if k < 0.
Answer:
D. False
Step-by-step explanation:
The -2 that's beside the x, close by, inside the absolute value, then the graph is shifted (slid/translated) to the right two units.
The -2 that is tacked on to the end of the equation slides the graph DOWN two units.
3 math equation that equal 100
Step-by-step explanation:
60+40=100
70+30=100
80+20=100
hope it helps
Find the range of the following piecewise function.
[0,11)
(-4,6]
(0,11]
[-4,6)
Given:
The piecewise function is
[tex]f(x)=\begin{cases}x+4 & \text{ if } -4\leq x<3 \\ 2x-1 & \text{ if } 3\leq x<6 \end{cases}[/tex]
To find:
The range of given piecewise function.
Solution:
Range is the set of output values.
Both functions [tex]f(x)=x+4[/tex] and [tex]f(x)=2x-1[/tex] as linear functions.
Starting value of [tex]f(x)=x+4[/tex] is at x=-4 and end value is at x=3.
Starting value: [tex]f(-4)=-4+4=0[/tex]
End value: [tex]f(3)=3+4=7[/tex]
Starting value of [tex]f(x)=2x-1[/tex] is at x=3 and end value is at x=6.
Starting value: [tex]f(3)=2(3)-1=5[/tex]
End value: [tex]f(6)=2(6)-1=11[/tex]
Least range value is 0 at x=-4 and 0 is included in the range because -4 is included in the domain.
Largest range value is 11 at x=6 and 11 is not included in the range because 6 is not included in the domain.
So, the range of the given piecewise function is [0,11).
Therefore, the correct option is A.
A contractor bought 8.2 ft^2 of sheet metal. He had used 4.9ft^2 so far and has $ 59.40 worth of sheet metal remaining. The equation 8.2x-4.9x=59.4 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?
Answer: Each square foot of metal costs $14.97
Step-by-step explanation:
He initially had 8.2 ft^2 of metal.
He used 4.9ft^2 of metal, then he now has:
8.2 ft^2 - 4.9 ft^2 = 3.3 ft^2
And this 3.3 ft^2 is whort $49.40
Then if X is the cost per square foot, we have the equation:
3.3ft^2*X = $49.40
We can solve it for X as:
X = ($49.40/3.3ft^2) = $14.97 ft^-2
This means that each square foot costs $14.97
A seal went 25 feet below sea level to catch a fish. A sea lion dove 10 feet less than three times as deep as the seal to catch a larger fish. What is the sea lion's position in relation to sea level?
Answer:
65 feet below sea level.
Step-by-step explanation:
With the information provided, we can create the following equation for the position of the sea lion (p)
p = 3x - 10
In this equation, x would be the final position of the seal when it caught the fish. Since we are told that the seal's position is 25 feet below sea level then we can plug in this value as x and solve for p...
p = (3 * 25) - 10
p = 75 - 10
p = 65
Finally, we can see that the sea lion's position is 65 feet below sea level.
Answer: 3(–25) – (–10)
Step-by-step explanation: Answer on Edge...
I have to take your car to the shop for a weird noise the mechanic charges a flat rate of $100 for looking at your car everything in our to fix the problem write an algebra expression where p represents how much you have to pay at h is the number of hours it will take to get your car fixed
The equation of the amount of pay and the number of hours it takes to get your car fixed will be P = 50x + 100.
What is a linear equation?
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
You had to take your car to the shop for a weird noise. The mechanic charges a flat rate of $100 for looking at your car and $50 an hour to fix the problem.
Let P represents the amount of pay and x be the number of hours. Then the linear equation is given as,
P = 50x + 100 where p is amount
The equation of the amount of pay and the number of hours it takes to get your car fixed will be P = 50x + 100.
learn More about of linear equation here
https://brainly.com/question/28731673
#SPJ4
Find the quotient and briefly explain the process and reasoning. Explain how you determined the location of the decimal
0.27÷0.03=
Answer:
Step-by-step explanation:
9 is the answer
How would I translate 2=x-9 into a verbal sentence?
Answer:
Two equals X minus Nine
A rectangular exercise mat has an area of 48 square meters. Its length is
8 meters. What is the width of the mat?
Answer: 6 metres
Step-by-step explanation:
It can be written as 48=8x
48/8=x
x=6
please help! ill give brainliest and also please show work
Answer:
C. 445
Step-by-step explanation:
Directly proportional means that y = kx for some constant k. So you can start by substituting;
712 = 8k
k = 89
y = 5(89)
y = 445
Hope this helps! :)
A scientist needs 10 liters of 20% acid solution for an experiment, but she has only 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should sue mix to get the solution she needs?
If a rotation takes triangle CAT to C′A′T′, what is C′T′?
triangle CAT with vertex A at negative 2 comma 1, vertex T at negative 1 comma 4 and vertex C at 0 comma 0, side AT has a measure of square root of 10 units, side TC has a measure of square root of 17 units, and side AC has a measure of square root of 5 units
3
square root of 17
5
Cannot be determined
The measure of C'T' is √17 units after the rotation .
Rotation of a graph is a transformation in which the figure is rotated around a fixed point.
The rotation can be clockwise or anti-clockwise.A complete rotation of 360 degrees puts the graph back into its original position.Rotation does not change the side length of the figure that is rotated.When a polygon is rotated about a fixed point then the transformed figure is congruent to the original figure.The given triangle is CAT and it has the coordinates as C(0,0) , A(-2,1) and T(-1,4).
So when the figure is rotated about a fixed point the side lengths will remain same as the original figure.
C'T' = CT = √17 (the value of CT is given)
Hence the length of C′T′ is √17 units .
To learn more about rotation visit:
https://brainly.com/question/12091224
#SPJ1
WILL MARK BRAINLIEST
Nilsa is working on a 60-minute math test. There are 20 questions on the test. If it takes her 20 minutes to complete 12 of the questions, what is the greatest amount of time on average she can spend on each of the remaining 8 questions?
Answer: 5 minutes
60 minutes to start -20 minutes used =40 minutes left
40 minutes left/ 8 questions = 5 minutes on average per question
Seth watches television for 2 hours each weekday and a total of 8 hours on the weekend. What fraction represents the amount of time he spends watching TV each week?
A. 5/84
B. 3/28
C. 26/168
D. 2/21
E. None of the above
Answer: 26/168 hours are spent watching TV a week.
Step-by-step explanation:
Weekdays: 2 * 5 = 10
Weekends: 8 * 2 = 16
Week total hrs: 24 * 7 = 168
10 + 16 = 26
26/168
(ANSWER QUICK PLEASE)1. Kasey noticed that the distribution of candy bars in the variety bags of candy bars is always the same. There are three times as many Twix Bars as Milky Ways. There are 5 fewer snickers than there are Twix.
Using proportions, the amounts are given as follows:
Small: 24 Twix, 8 Milky Ways, 19 Snickers.Medium: 30 Twix, 10 Milky Ways, 25 Snickers.Large: 42 Twix, 14 Milky Ways, 37 Snickers.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
We have that the amount of Twix is triple the amount of Milky ways, hence:
In the small bag, there are 8 x 3 = 24 Twix.In the medium bag, there are 30/3 = 10 Milky Ways.There are 5 fewer Snickers then Twix, hence:
In the small bag, there are 24 - 5 = 19 Snickers.In the medium bag, there are 30 - 5 = 25 Snickers.In the large bag, there are 37 + 5 = 42 Twix and 42/3 = 14 Milky Ways.Hence the amounts are given as follows:
Small: 24 Twix, 8 Milky Ways, 19 Snickers.Medium: 30 Twix, 10 Milky Ways, 25 Snickers.Large: 42 Twix, 14 Milky Ways, 37 Snickers.More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
What is the slope of the line shown in the graph above ?
Answer:
Step-by-step explanation:
1/2
rise/run
count upward from -2 then right 4
then get your answer
Given f(x)=5x+4, solve for x when f (x) = -6
What does a formal proof need to have?
A.) Written in paragraph form.
B.) Justification for each step.
C.) Written in two-columns form.
Answer:
B. Justification for each step
Step-by-step explanation:
Answer:
B. Justification for each step
Step-by-step explanation:
How do you solve it and what is the answer
Answer:
30
Step-by-step explanation:
All triangles have a measure of 180 on the inside. I found this by taking 180 and subtracting it by the sum of 53 and 97 which is 150. 108-150=30.
Answer:
The answer is 30
the inside of a triangle always adds up to 180.
Step-by-step explanation:
97 + 53 = 150
180-150 + 30
I could have given up, but I thought about my grandmother. She always told me that "people who believe that science is the answer to everything are missing out on everything else." With her words in mind, I searched some more. There were many facts that hinted that dragons may not be fictional. I noticed that cultures across the world all described dragons in similar ways. This was odd because they had no way to communicate with each other. I found dragons mentioned in more than just stories. They appeared in old legal papers, in the travel logs of Marco Polo, and in the Bible. I saw that the Chinese calendar uses a different animal each year. Dragons are included along with eleven real animals. I began to believe it was a real possibility that all of these people were talking about a creature that actually existed.
The text discusses the Chinese calendar by writing, "Dragons are included along with eleven real animals."
What does that imply? (5 points)
Dragons are the only fake animal on the Chinese calendar.
Dragons are not the only fake animal on the Chinese calendar.
Dragons are real because all the other animals on the calendar are fake.
Dragons are real because all the other animals on the calendar are real.
Answer:
Dragons are real because all the other animals on the calendar for real.
Step-by-step explanation:
Hope this helps.
one last question for today this all
Check the picture below.
the function is the Cost function for the bagels, of course that'd depend on the price of each bagel, so the cost C(x) is dependent on how many independent bagels Naomi is buying, as you can see in the table in the picture.
now, if Naomi gets 10 bagels, that simply means that x = 10, thus the price is C(10), or namely C(10) = 1.25(10), so Naomi better check her pockets for $12.50 for the bagels, hopefully she'll get some cream cheese too and cocoa.
What is the value of the expression below after it has been completely simplified?
-2 |0.25 - 0.5| + 2 = ___
Answer:
1.5
Step-by-step explanation:
Raymond's bank account was overdrawn by $32.55. He makes two deposits of $100 each and then makes a purchase of $86.72. What is his account balance?
Raymond's account balance after depositing two deposits of $100 , purchase of $86.72 with overdrawn amount $32.55 is equal to $80.73.
As given in the question,
Raymond's bank account has:
Overdrawn amount in bank = $32.55
Deposits amounts by Raymond's = 2 × ( $100 )
= $200
Purchase amount = $86.72
Account balance in Raymond's account = ( $200 - $32.55 - $86.72 )
= ( $200 - $119.27 )
= $80.73
Therefore, Raymond's account balance after depositing two deposits of $100 , purchase of $86.72 with overdrawn amount $32.55 is equal to $80.73.
Learn more about account balance here
brainly.com/question/23271078
#SPJ1
The measures of the angles of a triangle are shown in the figure below. Solve for x.
IS this correct? im not sure
2 Answers:
Choice B) irrational
Choice F) Natural
=====================================================
Reason:
Let's go through the answer choices.
A) The value 0 is a real number. A real number is any thing you can think of such as 2/3 or [tex]\sqrt{93}[/tex] or 10.657 or 22, assuming your teacher hasn't covered imaginary or complex numbers. This rules out choice A.B) This is one of the answers. See choice C for further explanationC) The value 0 is rational since 0 = 0/1 is a fraction of two integers, where the denominator is nonzero. Since 0 is rational, it means it cannot be irrational. The term "irrational" means "not rational". Therefore, we can conclude that 0 is not in the set of irrational numbers. This is why choice B is one of the answers, and why we can rule out choice C.D) The set of integers is {...., -3, -2, -1, 0, 1, 2, 3, ...} which consists of positive and negative whole numbers. We also have 0 in this set. So choice D is ruled out. E) The set of whole numbers is {0, 1, 2, 3, 4, ...} which has 0 in it. We can rule out choice E.F) The set of natural numbers is very similar to the whole numbers, but one key difference: zero is missing. The natural numbers is {1, 2, 3, 4, ...} which shows that choice F is the other answerMrs. stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. how old is Mrs. stone now, if 9 years ago Alex was two times older than Joyce?
Answer:
54
Step-by-step explanation:
RSM homework lol
made equation, then solved it.
hope this helps!
What is the sum........
Answer:
it's the last one
Step-by-step explanation:
the last one is the correct one
If Nancy uses 1 74 tablespoons of coffee to make 10 cups of coffee, how
much would she need to make one cup of coffee?
Answer:
17.4 table spoons
Step-by-step explanation:
174 Tbsp = 10 cups
divide 10 cups by ten for 1 cup
x Tbsp = 1 cup
you divide both sides by ten using division property of equalit and get
17.4 Tbsp = 1 cup
What is a definition of a Line ?
Answer:
noun
1. a length of cord, rope, wire, or other material serving a particular purpose.
2. a long, narrow mark or band.
verb
1. stand or be positioned at intervals along.
2. mark or cover with lines.