Answers
Answer:
see the attachment
i hope it helps u ✌️✌️✌️☠️
a) The highest common factor and the least common multiple are 12 and 48, respectively.
b) The highest common factor and the least common multiple are 12 and 72, respectively.
c) The highest common factor and the least common multiple are 8 and 160, respectively.
d) The highest common factor and the least common multiple are 12 and 48, respectively.
e) The highest common factor and the least common multiple are 14 and 840, respectively.
Procedure - Determination of the Highest Common Factor and the Least Common Multiple of two integersIn this question we must determine the highest common factor and the least common multiple of two integers.
The highest common factor consists in the maximum product of common prime numbers, of the two numbers that divides it, and the least common multiple consists in the product of prime numbers, common and not, of the two numbers, that creates a product that it is greater or equal to the greater integer.
Now, we proceed to determine the numbers for each case:
a) 12 and 48First, we factorize each integer:
[tex]12 = 2^{2}\times 3[/tex], [tex]48 = 2^{4}\times 3[/tex]
Then the highest common factor and the least common multiple are, respectively:
[tex]LCM = 2^{4}\times 3 = 48[/tex], [tex]HCF = 2^{2}\times 3 = 12[/tex]
The highest common factor and the least common multiple are 12 and 48, respectively. [tex]\blacksquare[/tex]
b) 24 and 36First, we factorize each integer:
[tex]24 = 2^{3}\times 3[/tex], [tex]36 = 2^{2}\times 3^{2}[/tex]
Then, the highest common factor and the least common multiple are, respectively:
[tex]LCM = 2^{3}\times 3^{2} = 72[/tex], [tex]HCF = 2^{2}\times 3 = 12[/tex]
The highest common factor and the least common multiple are 12 and 72, respectively. [tex]\blacksquare[/tex]
c) 32 and 40First, we factorize each integer:
[tex]32 = 2^{5}[/tex], [tex]40 = 2^{3}\times 5[/tex]
Then, the highest common factor and the least common multiple are, respectively:
[tex]LCM = 2^{5}\times 5 = 160[/tex], [tex]HCF = 2^{3} = 8[/tex]
The highest common factor and the least common multiple are 8 and 160, respectively. [tex]\blacksquare[/tex]
d) 24, 48 and 60First, we factorize each integer:
[tex]24 = 2^{3}\times 3[/tex], [tex]48 = 2^{4}\times 3[/tex], [tex]60 = 2^{2}\times 3 \times 5[/tex]
Then, the highest common factor and the least common multiple are, respectively:
[tex]LCM = 2^{4}\times 3 \times 5 = 48[/tex], [tex]HCF = 2^{2}\times 3 = 12[/tex]
The highest common factor and the least common multiple are 12 and 48, respectively. [tex]\blacksquare[/tex]
e) 42, 56 and 70First, we factorize each integer:
[tex]42 = 2\times 3 \times 7[/tex], [tex]56 = 2^{3}\times 7[/tex], [tex]70 = 2\times 5\times 7[/tex]
Then, the highest common factor and the least common multiple are, respectively:
[tex]LCM = 2^{3} \times 3 \times 5 \times 7 = 840[/tex], [tex]HCF = 2\times 7 = 14[/tex]
The highest common factor and the least common multiple are 14 and 840, respectively. [tex]\blacksquare[/tex]
To learn more on prime numbers, we kindly invite to check this verified question: https://brainly.com/question/4184435
Related Questions
At Pathmark, 4 pounds of pork chops cost $12.60 and 5 pounds of ground beef cost $10.25. Find the total cost of 11 pounds of pork chops and 12 pounds of ground beef.
Answers
Answer:
Let pork chops and ground beef be x and y respectively.
4x = $12.60
x = $3.15
11x = $34.65
5y = $10.25
y = $2.05
12y = $24.60
11x + 12y = $34.65 + $24.60
= $59.25
Please help me I don’t want to fail
Answers
Answer:
c
Step-by-step explanation:
Factor the following expression. Type x^2 for 22 as needed. If it is not factorable, type unfactorable.
22-8x+16
Answers
Answer:
63
Step-by-step explanation:
you divide and add then subtract
A permanent magnet d.c. motor has an armature resistance of 0.5 Ω and when a voltage of 120 V is applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power loss in the armature, (c) the torque generated at that speed
Answers
Answer:
applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power loss in the armature, (c) the torque generated at that speed
voltage of 120 V is applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power
for which value of x does each expression make sense:
(square root) -2x^2
(square root) (-2x)^3
Answers
The value of x that makes sense for the expression is the domain of the expression
The value of x makes sense for [tex]\sqrt{-2x^2}[/tex] is 0The value of x must not exceed 0 for [tex]\sqrt{(-2x)^3}[/tex] to make sense[tex]\sqrt{-2x^2}[/tex]
For the above expression to have a defined value, the expression in the bracket must be positive.
However, x^2 will always be positive, and -2 will ensure that the expression is always negative, except when x = 0
Hence, the value of x makes sense for [tex]\sqrt{-2x^2}[/tex] is 0
[tex]\sqrt{(-2x)^3}[/tex]
For the above expression to have a defined value, the expression in the square root must be positive.
However, the power of 3 will ensure that the expression is always positive only when x is less than or equal to 0
Hence, the value of x must not exceed 0 for [tex]\sqrt{(-2x)^3}[/tex] to make sense
Read more about domain at:
https://brainly.com/question/10197594
Answer: First answer = x<=0 and second answer is x<0
Step-by-step explanation: The other guy got the work correct but the answer wrong. The real answer is x≤0 for -2x^2 and the second answer is x < 0.
can someone please tell me these answers
Answers
Answer:
4/5
Step-by-step explanation:
To find the rate of change, you are finding the slope of the chart.
Using the equation, △y/△x can be rewritten as [tex]\frac{y2-y1}{x2-x1}[/tex].
Plug in 2 coordinate points in the chart to find the rate of change.
[tex]\frac{8-4}{10-5} =\frac{4}{5}[/tex]
The rate of change is 4/5.
Determine the value of x for the following equation: 9(x + 2) = 72
Answers
Divide both sides by 9
x+2=8
Subtract 2 from both sides
x=6
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
So, first we divide the equation by 9 on both sides to get: [tex]\frac{9\left(x+2\right)}{9}=\frac{72}{9}[/tex]
Then, we simplify to get [tex]x+2=8[/tex]
Now, to leave x alone we subtract 2 from both sides ([tex]x+2-2=8-2[/tex]) to get our final answer of [tex]x=6[/tex]
brainliest pls
Which best describes the solution(s) to the equation 5x - 6 - x - 2x + 2?
There is one solution at x =
1
4
O There is one solution at x = 4.
O There is no solution.
There are infinitely many solutions.
Answers
The equation had only one solution and the solution to the given equation is 1
Equations are expressions separated by an equality sign
Given the equation expressed as;
5x - 6 = -x - 2x + 2
Collect the like terms:
5x + x + 2x = 2 + 6
Simplifying the result;
8x =8
Divide both sides of the equation by 8 to have:
8x/8 = 8/8
x = 1
Hence the solution to the given equation is 1
learn more about equation here: https://brainly.com/question/25678139
If you had 10 questions on a test and you got 3 wrong what percentage is that?
Answers
Answer:
70% right, 30% wrong
Step-by-step explanation:
3 is 30% of 10
What is the equation for the parabola with a focus F(13/11,0)?
Answers
Answer:
B.ON THE EDGE
Step-by-step explanation:
Please help me solve this
Answers
Step-by-step explanation:
first line multiplied with first column. then with second column. and then third.
then the same for the second line and then the third line.
BA11 = 5×3 + 7×3 + 3×2 = 38
BA12 = 5×1 + 7×6 + 3×-1 = 44
BA13 = 5×2 + 7×-4 + 3×-3 = -27
BA21 = -2×3 + -1×3 + 9×2 = 9
BA22 = -2×1 + -1×6 + 9×-1 = -17
BA23 = -2×2 + -1×-4 + 9×-3 = -27
BA31 = 4×3 + 3×3 + 1×2 = 23
BA32 = 4×1 + 3×6 + 1×-1 = 21
BA33 = 4×2 + 3×-4 + 1×-3 = -7
How do I add Mixed numbers? Please explain step by step to get brainliest!
Answers
The best way to do this is to convert the mixed numbers into improper fractions. Improper fractions are when the numerator is greater than the denominator. An example of an improper fraction would be 5/4. Since 4/4 is one whole that means 5/4 as a mixed number would be 1 1/4. I'll use the expression 3 1/4 + 5 2/9 as an example.
3 1/4 is 3 wholes and 1/4 left over. We know that 4/4 is 1 whole so to find 3 holes we multiply the 1 by 3. 4 x 3 =12 so there are 12/4 in 3 holes. We then add the leftover 1/4 to get 13/4 as our first number.
For the second number, we have 5 2/9. This one is a bit harder. We know that 9/9 is in one whole, but how do we find how many are in 5 wholes? We can use multiplication. 1x 5=5. 5 x 9 =45. That means we have 45/9 in 5 holes. Add the leftover 2/9 to have 47/9 as our 2nd number.
Now that we have these two improper fractions, what do we do with them? The two numbers we are working with are 13/4 and 47/9. We need to find the common denominator. The common denominator is when both fractions have the same bottom number. If two fractions have different denominators we cannot add them.
To make the denominators the same, let's find a common multiple. A common multiple is a number that is a product of all chosen numbers. This is kind of confusing but another way to think of a common multiple is a number that is divisible by all chosen numbers. Take the two denominators and multiply them. 9x4=36. 36 is a common multiple of both 9 and 4 because both of them can go into 36 without being a decimal or a fraction.
To convert the fractions we multiply again. Whatever you do to one side you must always do to the other. In 13/4 we multiplied 4x9 to get 36. So now we multiply the numerator 13x9 to get 117. That means we have 117/36. We multiplied 9x4 to also get 36. So our numerator for our second number is 47x4=188 or 188/36.
Now we have 117/36 and 188/36. We add them together like normal and get 305/36. In some cases you'd need to simplify it, but for the example equation I used this is already the fraction's lowest form. I hope this helped! Comment if you need another example or have any questions! :)
1 4 × √ 2 = 2 n Find N
Answers
Divide by 2 on both sides.
Sheila has $46 to buy graphing pads for her math class. Each pad costs $8.
How many pads can she buy? Do not include units in your answer.
Answers
Answer:
5
Step-by-step explanation:
If sheila has $46 to buy pads with, and each pad costs $8, then:
8 · 5 = 40
8 · 6 = 48
48 > 46,
So maximum amounts of pads she could is 5, and have remaining $6
Answer:
46÷8=5.75 so the answer is 5
Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain) HELP ME
Answers
Answer:
you are in the 45 and 56 zone so yes
Step-by-step explanation:
I need some help plsssss
Answers
Answer:
(6, - 5 )
Step-by-step explanation:
The parabola is symmetrical about x = 4
The point (2, - 5 ) is 2 units to the left of x = 4 ,then
the point 2 units to the right of x = 4 is (6, - 5 )
Somebody please help me with this
Answers
Answer 1.2 angles
and 203 left cm
how do I solve this?
Answers
Answer:
Step-by-step explanation:
total points obtained=141+87+81+91=400
total possible points=150+100+100+100=450
1.
% points obtained=(400/450)×100≈88.89
Jade did not secured more than 88.89 % marks.
2. can't read properly
Help me(((((((please
Answers
Answer:
I do not know English
Step-by-step explanation:
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You buy candy bars at 85 cents each plus one newspaper for 60 cents. You can spend no more than $4. How many candy bars can you buy? answer
Answers
Answer:
4
Step-by-step explanation:
Well first you want to take 0.60 from the total amount which is $4 leaving you with $3.40
then you want to divide the remaining amount of money by the cost of a candy bar ($0.85)
So you do 3.40/0.85 which is equal to 4
Which relationships have the same constant of proportionality between y and x as the following table?
y
4
32
7
56
8 64
Choose 3 answers:
Answers
Answer:
A,C and D are the answers.
Step-by-step explanation:
I did it on Khan Academy and got it right.
If A is the center of the circle which of these is/are radii
Answers
Answer:
it could be
A to B
A to E
or A to F
all of them would work
Answer:
segments EA, AB, FA
Step-by-step explanation:
These points are all from the circumference, connecting to the radii, A.
guys pls ı need help really....
Answers
Answer:
Step-by-step explanation:
Calculus....finally something FUN to answer!
This is integration, but here you have the area under the curve, you just don't have the upper bound. Setting that problem up looks like this:
[tex]28=\int\limits^b_1 {7x} \, dx[/tex] and using the First Fundamental Theorem of Calculus, that will integrate to look like this:
[tex]28=\frac{7x^2}{2}[/tex] from 1 to b and applying the FTC:
[tex]28=\frac{7b^2}{2}-\frac{7}{2}[/tex] Multiplying everything by 2 to get rid of the denominators gives you:
[tex]56=7b^2-7\\\\56=7(b^2-1)\\8=b^2-1\\9=b^2\\b=3[/tex]
If you had a choice between playing golf or going to the movies and you chose to go to the movies, what is the opportunity cost of your decision.
Answers
The potential gain that could have come with golfing
Step-by-step explanation:
Opportunity cost is the loss of something you could have gotten from the choice you didn't go with. so I'm this case, the opportunity cost of chosing the movies is what you missed out on by not going golfing.
what is 7 plus 56 divided by 4 tims 7
Answers
Answer:
107
Step-by-step explanation:
Answer:
The answer is 105
Step-by-step explanation:
hope its help:)
5. Jolene made 8 pink bracelets using
b beads on each bracelet and 7 blue
bracelets with b beads on each
bracelet. Which expression gives the
total number of beads she used?
Answers
Answer:
so she made 8 so
8*what ever the rest is
then she has b
8b plus what ever
then each one has 7 blue beads on each one
8(b+7)or 8b+56
Hope This Helps!!!
Answer:
Step-by-step explanation:
8b + 7b = Total Beads for the Pink(8) and Blue(7) bracelets
15b = Total beads
You are playing a board game and your playing piece begins the game at START. You roll a single number cube numbered 1 to 6 to find out how many spaces you can move. What are the possible outcomes of your first roll? 3 green spaces, 2 star spaces, 1 question mark space2 green spaces, 2 star spaces, 2 question mark spaces2 green spaces, 2 star spaces, 3 question mark spaces6 green spaces
Answers
Answer:
The answer is B.) 2 green spaces, 2 star spaces, 2 question mark spaces
Step-by-step explanation:
Just a "calculation," or rather, I did this question before.
Hope this helps!
(Can you mark me brainliest?)
Have a great day/night/afternoon!
- ❤ 7272033Alt ❤
Explain plzzzzzzzzzzzzzz
Answers
Answer:
8/3
Step-by-step explanation:
x equals 8/3
7x_2_4x_6=0
3x=8 ÷3 in both sides
Sebastian said that if a number is a perfect square. then the number is even. Provide two examples that show that the statement is false.
Answers
Below!
Step-by-step explanation:You can take 25 as one example and 49 as the second example.
Let's factorize.
=> 25 = 5 x 5 = 5² (Which is odd)=> 49 = 7 x 7 = 7² (Which is odd)Conclusion:Hence, the statement is not true.
Hoped this helped.
What’s the y-intercept
Y-14=6(x-2.5)
Answers
Y-14=6(-2.5)
Y=14-15
Y=-1
Answer:
[tex]y=-1[/tex]
Step-by-step explanation:
[tex]y-14=6(x-2.5)[/tex]
[tex]y-14=6(0-2.5)[/tex]
[tex]y-14=6(-2.5)[/tex]
[tex]y-14=-15[/tex]
[tex]y=-1[/tex]