Is it true that to finding the LCM you have to divide the product but he GCF? If not give in example why not, and if it’s true, why does it work?

Answers

Answer 1

To find the LCM, you CAN divide the product of the two numbers by the GCF.

This is not a very well-known fact, but it is useful at times, especially when we are asked to calculate both the LCM and GCF.

For example, the GCF of 18 and 48 is 6, by inspection or by factors.

Therefore the LCM of 18 and 48 is 18*48/6=864/6=144.

It works because by definition the GCF is the products of all common factors between the two given numbers.  Dividing the product by the GCF will therefore remove the duplication of the common factors, leaving a number which contains the factors of each of the two numbers, thus a lowest common multiple.

Note that this method is not the only way to find LCM's.


Related Questions

what is 0.4to the power of 6

Answers

0.4^6 is 0.004096

hope it helps

0.4 to the sixth power = 0.004096

(v 4 - v 3 - 68v 2 - 26v - 94) ÷ (v - 9)

Answers

Maybe it’s -2(46+13) or -92-26v

The student's question involves dividing a polynomial by a binomial using algebraic techniques such as long or synthetic division to find the quotient and remainder.

The question presented requires a division of polynomials. Specifically, the student is asked to divide the polynomial [tex](v^4 - v^3 - 68v^2 - 26v - 94)[/tex] by the binomial (v - 9). This problem can be solved using long division or synthetic division, which are techniques used in algebra to divide one polynomial by another. The result of the division will provide a quotient and possibly a remainder if the division is not exact.

Ian wants to run 412 miles to get ready for his upcoming race.

He has set up 3 markers the same distance apart to show how far he has run.

How far apart are the markers?

Drag and drop the correct answer to complete the statement.

Answers

Answer:

137.3 miles apart from each other

Step-by-step explanation:


Answer:

3/2

Step-by-step explanation:

i jus did the quiz and got 100% . your welcome

The shipping cost for an on-line company increases exponential based on the number of dollars the consumer has spent. It can be represented by the equation y = 0.003(2)x where x represents every $10 spent. Shipping charges will max out at $20. The company has decided that they need to add a base shipping charge of $5. What will this new function be?

Answers

Answer:

[tex]y = 5 + 0.003(2^{x})[/tex]

Step-by-step explanation:

If a base shipping charge of $ 5 is collected, it means that regardless of the amount of money spent, a base payment of $ 5 must be made for the shipment. Therefore the graph of the exponential function must move 5 units up on the positive y axis. Your new cutoff point with the positive y axis will be y = $ 5.003

Therefore, the new function that represents the shipping cost will be:

[tex]y = 5 + 0.003(2^{x})[/tex]

with [tex]x \leq 20[/tex]

Factor 3x2 − 12x − 36 completely.

a) 3(x − 6)(x + 2)
b) (3x + 6)(x − 2)
c) 3(x + 4)(x − 3)
d) (3x − 4)(x + 3)

Answers

The answer would be A, 3(x-6)(x+2)

The answer is definitely A

A dog cased a cat up a tree. The cat is 14 feet up the tree. if the dog is standing 3 feet from the tree what is the distance from the cat to the dog ?

Answers

Answer:

11 feet

Step-by-step explanation:

14 (cat)

3 (dog)

14 - 3 = 11

14 - 3 = 11 the answer is 11 feet

What is 100:25 in lowest terms

Answers

4: 1 because you could divide both sides of the ratio by 25

the henderson family just bought 8 crates of eggs, and each crate had 12 eggs. the family already had 6 eggs in the refrigerator. how many eggs do they have now ?

Answers

Answer:

The Answer is 102 eggs

Step-by-step explanation:

Multiply 8 by 12 then add 6.

first we multiply 12 and 8 ans is 96 and then add 6 so ans is 102

Each product is in the form ax2 + bx + c. Which of the following describes the relationship between b and c?
a.) c is 1.5 times that of b.
b.)c is double b.
c.) c is the square of half of b.
d.)c is the square of b.

Answers

Answer:

The correct answer is c. c is the square of half of b.

Step-by-step explanation:

In all perfect square trinomials, half of the middle number squared gives you the constant. See the example below for proof.

(x + 4)^2

(x + 4)(x + 4)

x^2 + 4x + 4x + 16

x^2 + 8x + 16

You'll notice if you take the middle term (8), cut it in half (4) and then square it (16), the result is the constant.

Answer:

C

Step-by-step explanation:

c is the square of half of b.

8=- 1/4T

its a 1 step equation but not sure what to do

Answers

Answer: T = -32

Step-by-step explanation:

isolate T by multiplying both sides by -4 (the reciprocal of -1/4)

[tex]8 = -\frac{1}{4}T[/tex]

[tex](-4)8 = -(-4)\frac{1}{4}T[/tex]

-32 = T


[tex] - \frac{1}{4} \times t = 8[/tex]
Divide -1/4 from each side of the equation.

-4/1*-1/4t = -4/1 * 8

t = -32

Hope this helps!

Plz help! ASAP! I will make you the brainliest! Thanks!

Answers

This is an example of the Associative Property of addition.

What is the algebraic expression for the following word phrase: the quotient of y and 6

Answers

A quotient is the answer that results from a number being divided by another number. In other words, it is the answer to a division problem. So, the quotient of y and 6 means that y is being divided by 6. Algebraically, you write this as y ÷ 6, or [tex]\frac{y}{6}[/tex]

how is the composition of function related to the order of operations

Answers

Solution:- Let f and g be the functions such that

                         [tex]f:X\rightarrow  Y\\and\\ g:Y\rightarrow Z[/tex]

can be used to form a function which maps x in X to [tex]g(f(x))[/tex] in Z.  

If z is a function of y, and y is a function of x, then z is a function of x. (transitive property)

Hence the composite function is given by

[tex]g of : X\rightarrow Z[/tex] , defined by [tex](gof)(x)=( g(f(x)) x)[/tex] for x in X.

Now , for the function g(x) into the function for f(x), we have to work from the inside out by substituting the expression. So by this way composition of function related to order of operations.

what's the least common multiple of 5 and 10

Answers

Answer:

5

Step-by-step explanation:


At the gym, Jasper was able to bench press 224 pounds, which was 7/8 of the weight that Balin was able to bench press. Which shows the correct equation and value of x, the weight that Balin could bench press?

Answers

Answer:

Equation is

           [tex]224=\frac{7}{8}x[/tex]

Step-by-step explanation:

At the gym, Jasper was able to bench press 224 pounds, which was 7/8 of the weight that Balin was able to bench press.

Let  x be the weight that Balin could bench press.

We have

         [tex]224=\frac{7}{8}x\\\\x=\frac{8\times 224}{7}=256[/tex]

That is

         x = 256

Equation is

           [tex]224=\frac{7}{8}x[/tex]

Answer: B

Step-by-step explanation:

A=LWH for L
Solve the formula for the indicated variable

Answers

Final answer:

The given formula A=LWH, which represents the volume of a box, needs to be solved for L. This can be accomplished by dividing both sides of the equation by WH, which leads to the equation L = A / (WH).

Explanation:

You have given the formula for the volume of a box, which is A=LWH. Here, A is the area, L is the length, W is the width, and H is the height. You are asked to solve this formula for L. This means we want to express L in terms of the other variables, W, H, and A.

To isolate L, you divide both sides of the equation by WH. So, the equation becomes:

L = A / (WH)

This equation shows L (length) in terms of A (area), W (width), and H (height).

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Calculate the length of DE.

Answers

set up the proportion, cross multiply, and solve for the missing length.

[tex]\frac{BA}{BE} = \frac{DC}{DE}[/tex]

[tex]\frac{6}{3} = \frac{9}{DE}[/tex]

6(DE) = 3(9)

DE = [tex]\frac{3(9)}{6} = \frac{9}{2} = 4.5[/tex]

Answer: 4.5

Can anyone please help me out? I’m so stuck on this one. Thanks in advance.

Answers

See the attached picture.

X = 76 degrees.

Weight Height
99 61
104 61
110 62
133 64
130 65
142 68
146 66
153 67
184 69
185 70
Use your calculator to find the equation of the regression line. 

Write the equation in y=ax+b form. Do not use any spaces. Round a and b to the nearest tenth. 

Answers

Use the graphing calculator to plot the line y=ax+b for the given data. On the attached diagram you can see green points that are ordered pairs weight-height and black line is regression line.

As you can see a≈0.1 and b≈50.9.

The equation of regression line is y=0.1x+50.9.

The equation Ax+By=10 goes through the coordinates (6,5) and (-2,-5)

What is the value of A?

What is the value of B?

Answers

The values of A and B of the given equation with the given coordinates are; A = 5 and B = -4

We are told the equation is;

Ax + By = 10

Since the equation goes through (6,5) and (-2,-5), then it means we have two simultaneous equations as;

6A + 5B = 10   ----(eq 1)

-2A - 5B = 10  ----(eq 2)

Add eq 1 to eq 2 to obtain;

4A = 20

A = 20/4

A = 5

Now, put 5 for A in eq 1 to get;

6(5) + 5B = 10

30 + 5B = 10

-5B = 30 - 10

-5B = 20

B = -20/5

B = -4

Thus, in conclusion, the values of A and B are 5 and -4 respectively.

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Final answer:

Values of A and B in the equation Ax+By=10, that pass through points (6,5) and (-2,-5), can be calculated by plugging these points into the equation, resulting in two simultaneous equations. On solving them, you find that A = 1 and B = -1.

Explanation:

In order to determine the values of A and B in the equation Ax+By=10 that passes through the points (6,5) and (-2,-5), first we plug these points into the equation. This will result in two simultaneous equations.

For the point (6,5), the equation becomes 6A + 5B = 10. For the point (-2,-5), the equation becomes -2A - 5B = 10. Solving these two simultaneous equations, you will obtain A = 1 and B = -1.

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how do you write 15/8 as a percentage

Answers

Hello there!

15/8=187.5% is correct answer.

First you converting a fraction such as 15/8 into a percent is pretty easy to me. You had to do is divide  numerator by the denominator and then multiply by 100 it should be results like (numerator and denominator)*100. You can also enter 15/8 to used their formula and you get (15/8)*100 and it gave us the answer is 187.5 is the right answer. Hope this helps! Thank you for posting your question at here on Brainly. Have a great day! -Charlie

15/8 as a percentage is 187.5

Someone help yaaa girl out!!! Fr need help ASAP.

Answers

z=24 degrees. To explain, you can solve for x by making the equation 2x+48=180 since 180 degrees is the angle of a straight line. Once you solve for x, you add that number to 90. Finally, subtract that number from 180 to get z. You subtract from 180 because a triangle's total angle sum is always 180

Y = 42

hope this helps

you have $0.8 in your backpack in dimes and quarters let x represent the number of dimes and y represent the number of quarters.
A. Write an equation in standard form that represent the situation

Answers

Final answer:

An equation in standard form for the situation where you have $0.8 in dimes and quarters is 10x + 25y = 80, where x represents the number of dimes and y represents the number of quarters.

Explanation:

To create an equation in standard form that represents the situation where you have $0.8 in your backpack in dimes and quarters, let x represent the number of dimes and y represent the number of quarters. Recall that the value of a dime is $0.10 and the value of a quarter is $0.25.

Each dime is worth $0.10, so the total value of the dimes will be 0.10x dollars. Each quarter is worth $0.25, so the total value of the quarters will be 0.25y dollars. The total amount of money is $0.8, so the equation representing this situation in standard form is:

0.10x + 0.25y = 0.8

However, to get the equation in standard form, we usually want integers as coefficients. To eliminate the decimals, we can multiply every term by 100:

10x + 25y = 80

This equation is now in standard form and represents the combination of dimes and quarters adding up to $0.8.

Mr.Hower can buy a computer with a down payment of 510 and 8 monthly payments of 35.75 if he pays cash for the computer the cost is 699.99 how much money will he save if he pays cash for the computer instead of paying monthly payments?

Answers

$35.75 x 8 months = $286 total of 8 months
$510 down payment + $286 total of 8 months = $796 is the total of down payment and the 8 months
$796-699.99 = $96.01 he will save if he paid cash
Final answer:

Mr. Hower will save $96.01 if he pays cash for the computer instead of making monthly payments.

Explanation:

To determine how much money Mr. Hower will save if he pays cash for the computer instead of making monthly payments, we need to compare the total cost of both options.

First, let's calculate the total amount paid with monthly payments:

Down payment: $510

Monthly payments: 8 payments of $35.75

Total paid with monthly payments = Down payment + (Monthly payment amount × Number of payments)

$510 + ($35.75 × 8) = $510 + $286 = $796

Now, let's compare it to the cash price:

Cash price: $699.99

Savings if pays in cash = Total paid with monthly payments - Cash price

$796 - $699.99 = $96.01

So, Mr. Hower would save $96.01 if he pays cash for the computer instead of using the monthly payment option.

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divide £144 in the ratio 11:7

Answers

Answer:

88:56 = 11:7 pounds.

Step-by-step explanation:

Drop the pound sign. I live in Canada and I can't make that symbol. I'll add something at the end. We just want to divide 144 into a ratio of of 11:7

Step One

Add the two ratios together 11 + 7 = 18

Now set up a ratio to solve for 11 parts out of 18

11:18 = x:144         Proportion

11 / 18 = x / 144    Equation: Cross mulitiply

11*144 = 18x         Combine the left side

1584   = 18x         Divide by 18

1584 / 18  = x

88 = x

That is the larger amount (11 is larger than 7)

Find the smaller amount

144 - 88 = 56

The two amounts are in the ratio of 11:7

88:56 = 11:7  


7 - 5p+3q when p=1 and q=7

Answers

Answer:


Step-by-step explanation:

Plug in 1 for p, and 7 for q

7 - 5p + 3q

7 - 5(1) + 3(7)

Simplify. First, multiply

5 x 1 = 5, 3 x 7 = 21

7 - 5 + 21 = 2 + 21 = 223

23 is your answer

hope this helps

~Rise Above the Ordinary


If f(x) = 4^x - 8 and g(x) = 5x + 6, find (f - g)(x)

Answers

Answer:

[tex]4^x-5x-14[/tex]

Step-by-step explanation:

[tex]f-g=(4^x-8)-(5x+6)=4^x-8-5x-6=4^x-5x-14[/tex]

Answer:

The value of  [tex](f-g)(x)=4^x-5x-14[/tex]

Step-by-step explanation:

Given : If [tex]f(x) = 4^x-8[/tex] and [tex]g(x)=5x+6[/tex]

To find : The value of  [tex](f - g)(x)[/tex]?

Solution :

[tex]f(x) = 4^x-8[/tex]

[tex]g(x)=5x+6[/tex]

We can write, [tex](f-g)(x)=f(x)-g(x)[/tex]

Substitute the value of f(x) and g(x)

[tex](f-g)(x)=4^x-8-(5x+6)[/tex]

[tex](f-g)(x)=4^x-8-5x-6[/tex]

[tex](f-g)(x)=4^x-5x-14[/tex]

Therefore, The value of  [tex](f-g)(x)=4^x-5x-14[/tex]

solve by graphing x^2-6x+5=0

Answers

the answer is:   x = 1,5

Answer:

x = 1 and x = 5

Step-by-step explanation:

First we find the axis of symmetry.  This will be a dotted line marking where the graph will "fold" in half.  To find this we use the formula x = -b/2a:

x = -(-6)/2(1) = 6/2 = 3

We draw a dotted line at x=3, as seen in the first screenshot.

Next we find the vertex.  Substitute the value of x into the related equation,

y = x²-6x+5

y = 3²-6(3)+5 = 9-18+5 = -9+5 = -4

The y-coordinate of the vertex is at -4, making the vertex (3, -4); this is seen in the second screenshot.

Next we graph the y-intercept; this is c in the equation, which in this equation is 5.  This is seen in the third screenshot.

Next we reflect the y-intercept through the axis of symmetry; this is seen in the fourth screenshot.

Lastly we connect these three points with the parabola, or u-shaped graph.  This is seen in the fifth screenshot.

To find the solutions, we find the x-intercepts.  We can see from the fifth screenshot that these are at x=1 and x=5; these are the solutions.

Admission to the circus cost x dollars for an adult and y for a child find the total cost of 6 adults and 4 children

Answers

Since you have 6 adults, it would be 6x (since 6 adults × admission,x)
You have 4 kids so 4y (4 kids × admission)

Now your finding the total so you'd have to do 6x+4y and will have the total.

The answer is [6x+4y]

Write a decimal subtraction equation that requires regrouping from the tenths. Explain how you know you will need to regroup.

Answers

Answer:

1)For example we need to find 54 -41.2

Step 1: Write down the both numbers, one under the other, with the once digit in same line.

54

-41.2

Step2: Now,add zeros so the numbers to make the same length .

54.0

-41.2

Step3: Then subtract normally, remembering to put the decimal point in the answer

54.0

-41.2

12.8

2)Here we need to subtract same place values of second number from the first number starting from right side, We can see to subtract 2 from 0 we need to take carry from 4 (4 will become 3)so that it will become 10 to subtract 2 from it ,thus we get our answer 12.8.

Final answer:

The decimal subtraction problem 0.72 - 0.58 requires regrouping from the tenth place. This is because you cannot subtract 8 from 2 without regrouping. The final answer, after regrouping and subtracting is 0.14.

Explanation:

A decimal subtraction equation that requires regrouping from the tenths could be as follows: 0.72 - 0.58. In this problem, you cannot subtract 8 (in the hundredth place) from 2 (also in the hundredth place) without regrouping because 2 is less than 8. Therefore, you need to regroup from the tenth place.

To do this, you take one-tenth (0.10) from the tenth place, leaving you with 0.62 instead of 0.72. This action adds ten hundredths (0.10) to the hundredths place, turning our 0.02 into 0.12. Now, you can subtract 8 from 12 in the hundredth place, and you can subtract 5 from 6 in the tenth place, leaving you with the answer: 0.14.

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