Find the L.C.M of the given pair of numbers using the prime factors method. 70 and 84​

Answers

Answer 1

Answer:

420

Step-by-step explanation:

Prime Number: a whole number greater than 1 that cannot be made by multiplying other whole numbers

First prime numbers: 2, 3, 5, 7, 11, 13, 17, ...

Prime Factorization: prime numbers that multiply together to make the original number.

LCM = least common multiple: smallest positive number that is a multiple of two or more numbers

Start by finding the prime factorization of each number.

Start with the smallest prime number: 2

70 ÷ 2 = 35

35 is not divisible by 2 or 3, but is divisible by 5:

35 ÷ 5 = 7

7 is a prime number, so cannot be divided any further

So  70 = 2 × 5 × 7

Start with the smallest prime number: 2

84 ÷ 2 = 42

Again divide by 2:

42 ÷ 2 = 21

Now divide by 3:

21 ÷ 3 = 7

So  84 = 2 × 2 × 3 × 7

Write each number as a product of primes, matching primes vertically when possible

84 = 2 × 2 × 3       × 7

70 = 2             × 5 × 7

Now bring down the primes in each column. The LCM is the product of these factors.

LCM = 2 × 2 × 3 × 5 × 7 = 420


Related Questions

What is 5 x 9 the answer

Answers

Answer:

5 x 9 is 45

Step-by-step explanation:

just is loll

Three consecutive integers have a sum of 72. Find the integers.

Answers

Answer:

Step-by-step explanation:

x is smallest integer

x + (x + 1) + (x + 2) = 72

3x + 3 = 72

3x = 69

x = 23.

This means that the integers are 23, 24, and 25.

Does anyone got the answer to this?

Answers

Answer:

Step-by-step explanation:

Givens

C = 2*pi*r

C = pi*d

C = 125.6

r = d/2

Solution

C = pi *d

125.6 = 3.14 * d           Divide both sides by 3.14

125.6/3.14 = d

d = 40

You can use 1 of 2 methods to get the radius

The easiest one is use

r = d/2

r = 40/2

r = 20

L need help with this pls

Answers

Answer:

75

Step-by-step explanation:

The lines l and m are already parallel so in order for that to be correct the measure of angle x would be 75 degrees :)

consider the line y=7-7x what is the slope of a line parallel to this line

Answers

Answer:

Step-by-step explanation:

Slope of the given line = -7

parallel: slope = -7

perpendiculr: slope = -1/(-7) = 1/7

Sorry that the photo is sideways.​

Answers

Answer: Answer C and D

Equations:

A. 4+4+4+4 | 16 = 4 | 1+1+1+1

B. 4+4+4+4 | 16 = 1

C. 4+1+1 | 6 = 6 | 1+1+1+1+1+1

D. 4+4 | 8 = 8 | 1+1+1+1+1+1+1+1

Mark as brainliest if this helps! :)

On the drawing for a house plan, the master bedroom is rectangular and has dimensions of 2.25 inches by 2.5 inches. If the scale of the drawing is 1/8 inch = 1 foot, what is the actual area of the master bedroom? Make sure to label your answer.

Answers

The answer is 16 metric units by the quarter mile

The water level at a pier is modeled by the function y= 2.5 cos(2pi/12.5) +12, where y represents the water level measured in meters, and x represents the number of hours since the last high tide. After how many hours is the water first expected to reach a depth of 12 meters? Round to the nearest tenth of an hour.

ANSWER CHOICES
1.6 hours
3.1 hours
14.4 hours
19.6 hours

Answers

Answer: 3.1 hours

Step-by-step explanation: Just took the quiz on edg.

  Water will reach a depth of 12 meters after 3.1 hours approximately.

   Function representing the level of water by 'y' and number of hours by 'x' is,

[tex]y=2.5\text{cos}(\frac{2\pi x}{12.5})+12[/tex]

For y = 12 meters, (Substitute the value of y)

[tex]12=2.5\text{cos}(\frac{2\pi x}{12.5})+12[/tex]

[tex]12-12=2.5\text{cos}(\frac{2\pi x}{12.5})[/tex]

[tex]\text{cos}(\frac{2\pi x}{12.5})=0[/tex]

[tex]\frac{2\pi x}{12.5}=\frac{\pi }{2}[/tex]   (Since, [tex]\text{cos}(\frac{\pi }{2})=0[/tex])

[tex]\frac{\pi x}{12.5}=\frac{\pi }{4}[/tex]

[tex]x=\frac{\pi }{4}\times \frac{12.5}{\pi}[/tex]

[tex]x=3.125[/tex]

[tex]x\approx3.1[/tex] hours

    Therefore, water will reach a depth of 12 meters after 3.1 hours approximately.

Learn more,

https://brainly.com/question/6997514

Assume that when adults with smartphones are randomly​ selected,41 ​% use them in meetings or classes. If 5 adult smartphone users are randomly​ selected, find the probability that exactly 2 of them use their smartphones in meetings or classes.

Answers

Answer:

0.345

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

n = 5, r = 2, p = 0.41, and q = 0.59.

P = ₅C₂ (0.41)² (0.59)⁵⁻²

P = 0.345


Jennifer had to finish 3 assignments during the week.
She completed the first assignment in 3 1/2 hours. The
second assignment took 1/2 hours lesser while the third
assignment took 2 1/2 hours more than the first. How
much time did it take her to complete the
assignments.

Answers

Answer:

6 1/2 hours

Step-by-step explanation:

3 1/2 + 1/2 + 2 1/2

4 + 2 1/2

6 1/2

First add the 3 1/2 and the 1/2 together to get 4. Then you add the 2 1/2 to the 4 to get 6 1/2. :)

Hope this helped!

Have an amazing day!!

PLEASE RATE!!

Answer: 12hrs 30mins

Step-by-step explanation: 3hrs 30mins + 3hrs + 6hrs = 12hrs 30mins

Hope that helps!

Which graph represents -3x+5y=-15?

Answers

Answer:

It's a straight line

Step-by-step explanation:

The line has a slope of 3/5 and a y-axis crossing of -3

The denominator for the improper fraction represented by the shaded area is .....

Answers

Answer:

4/3 is the fraction / the denomonator would then be 3

Step-by-step explanation:

4 shaded on the top and 3 shaded on the bottom. The numerator is on the top and the denomonator is on the bottom.

Given that f(x) = x2 + 12x + 35 and g(x) = x + 7, find (f:g)(x) and express
the result in standard form.

Answers

Answer:

x^3+19x^2+119x+245

Step-by-step explanation:

The required value of function (f:g)(x) would be (x + 5) which is the ratio of function f(x) and g(x).

What is a quadratic equation?

The quadratic equation is defined as a function containing the highest power of a variable is two.

Given that f(x) = x² + 12x + 35 and g(x) = x + 7

As per the question,

⇒ (f:g)(x) = (x² + 12x + 35) : (x + 7)

⇒ (f:g)(x) = (x² + 12x + 35) / (x + 7)

Solve the above quadratic equation, and we get

⇒ (f:g)(x) = (x² + 5x + 7x + 35) / (x + 7)

⇒ (f:g)(x) = x(x + 5) + 7(x + 5) / (x + 7)

⇒ (f:g)(x) = (x + 5)(x + 7) / (x + 7)

⇒ (f:g)(x) = (x + 5)

Therefore, the required value of function (f:g)(x) would be (x + 5).

Learn more about the quadratic function here:

brainly.com/question/14083225

#SPJ2

4pounds of tomatoes for 6 dollars what was the cost per pound of tomatoes

Answers

Answer:

$1.50

Step-by-step explanation:

Answer:

x = $1.50; The cost per pound of tomatoes is $1.50

Step-by-step explanation:

We can the cross method.

4 pounds = $6

1 pound   = x

4x = 6*1

4x=6

4x/4 = 6/4

x= 1 1/2 or $1.50

x = $1.50

The cost per pound of tomatoes is $1.50

Hope this helps!

1,4,5,9,14,23 what a situation

Answers

Answer:

If you are asking for the median, it's 9.

explanation:

Find the middle number and round it up. That is how to find median.

James is running around a square field. He starts at point A, then runs around the perimeter, passing through points B, C, and D, until he gets back to point A. Then he cuts across the diagonal to point C. In total, he covers 271 m. If AB¯¯¯¯¯¯¯¯ is 50 m long, what is the length of the diagonal AC¯¯¯¯¯¯¯¯?

Answers

Answer:

i dont know can someone help me out im dying over here

NET OF TOY BOX
13
14
9
What is the surface area, in square feet, of the toy box?
Answer: A =
ft?
Submit Answer
wento

Answers

Solution:

We know that:

[tex]L = 13 \ feet[/tex][tex]B = 14 \ feet[/tex][tex]H = 9 \ feet[/tex]

[tex]Surface \ area = 2LB + 2BH + 2LH[/tex]

Step-1: Substitute the length, breadth, and height.

[tex]Surface \ area = 2LB + 2BH + 2LH[/tex]=> [tex]Surface \ area = 2(13)(14) + 2(14)(9) + 2(13)(9)[/tex]

Step-2: Find the surface area.

=> [tex]Surface \ area = 2(13)(14) + 2(14)(9) + 2(13)(9)[/tex]=> [tex]Surface \ area = 364 + 252 + 234[/tex]=> [tex]\bold{Surface \ area = 850\ feet^{2}}[/tex]
Length=14ft=LBreadth=B=9ftHeight =H=13ft

[tex]\\ \rm\Rrightarrow TSA=2(LB+BH+LH)[/tex]

[tex]\\ \rm\Rrightarrow TSA=2(126+117+182)[/tex]

[tex]\\ \rm\Rrightarrow TSA=850ft^2[/tex]

When a hammer falls from a work bench, __________.

a
the kinetic energy of the hammer increases, while the potential energy increases
b
the kinetic energy of the hammer decreases while its potential energy increases
c
The kinetic energy of the hammer increases while the potential energy decreases
d
the kinetic energy of the hammer decreases, while it's potential energy decreases

Answers

Answer:

b

Step-by-step explanation:

so u have to read careful


Please help ASAP PLEASE I NEED HELP

Answers

Answer:

4/9

Step-by-step explanation:

find common denominator which is 9

1/9 + 3/9 (I change the numerator because since we multiplied the bottom you do the top)

now add

1/9 + 3/9 = 4/9

hope that helps and makes since

Answer: 4/9

Step-by-step explanation: 1/9 + 1/3(which is 3/9) = 4/9.

Which is a statistical question?

Question 1 options:

How many even numbers are there between 10 and 20?

How many letters are in the word "octopus"?

How many minutes does it take to travel to school?

Answers

Answer:

How many minutes does it take to travel to school?

Step-by-step explanation:

A statistical question means you expect variability in the responses.

For instance, if you look at the first question, there's only 1 answer, so there's no variability. If you look at the second question, there's also only 1 answer.

Answer: Choice C

How many minutes does it take to travel to school?

======================================================

Explanation:

Choice A is not a statistical question because we don't need to use statistics to find the answer. We simply count out the number of even numbers between 10 and 20. There's no need to draw a random sample of elements and do statistical analysis.

The same goes for choice B as well. There are 7 letters in this word and this value does not fluctuate/change.

Therefore we rule out choices A and B.

Choice C on the other hand has its answer vary depending on which person you ask. If you ask enough people, then you can find the average number of minutes, which is one tool to do statistics. This variable is considered a random variable (RV).

Find the value of x and y.

Answers


X would be 63, Y would be 27

A straight line is 180 degrees. 180-117=63

To find Y, since we know it is a 90 degree angle do 90-63 which is 27.

Solve 6x<90. Graph the solution

Answers

Answer:

image is attached (shaded area is where x could be)

Step-by-step explanation:

[tex]6x < 90[/tex]

divide both sides by 6

[tex]x < 15[/tex]

this means x is strictly less than 15

Anita earned a 74, 85, and 84 on her first three biology exams. What is the minimum score she needs to get on the fourth test in order for her average exam score to be 82?

Answers

Answer:

85

Step-by-step explanation:

82×4=328

328=74+85+84+x

x=328-74-85-84

x=85

A data set is given as follows:
Please give the best fit using the least squares with the following functions
(1) y = ax + b;
(2) y = ax + b;
and draw their respective graphs.

(Probability and Statistics)​

Answers

Entering the values obtained from the data in the table based on the

given functions of y = a·x + b, and y = a·|x| + b, we have;

(1) y = -0.0614·x + 1.58772

(2) y = 0.3824·x + 0.91168

How can the best fit lines be obtained?

The least squares regression formula is presented as follows;

[tex]a = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]

(1) From the data in the table, and by using MS Excel, we have;

[tex]\overline x[/tex] = -0.2

[tex]\overline y[/tex] = 1.6

[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right)[/tex] = -1.4

[tex]\sum \left(x_i - \bar x\right )^2[/tex] = 22.8

Which gives;

[tex]a = \dfrac{-1.4}{22.8 } \approx \mathbf{-0.0614}[/tex]

1.6 ≈ b - 0.0614 × (-0.2)

b = 1.6 -  0.0614 × (0.2) = 1.58772

The equation of best fit for the function, y = a·x + b, is therefore;

y = -0.0614·x + 1.58772

(2) For the function, y = a·|x| + b, we have;

[tex]\overline x[/tex] = 1.8

[tex]\overline y[/tex] = 1.6

[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right)[/tex] = 2.6

[tex]\sum \left(x_i - \bar x\right )^2[/tex] = 6.8

Which gives;

[tex]a = \dfrac{2.6}{6.8} \approx \mathbf{0.3824}[/tex]

1.6 ≈ b + 0.3824 × (1.8)

b = 1.6 -  0.3824 × (1.8) = 0.91168

The equation of best fit for the function, y = a·|x| + b, is therefore;

y = 0.3824·x + 0.91168

Learn more about the least squares regression line here:

https://brainly.com/question/15882801

1/7of21 what is answer

Answers

3

Step-by-step explanation:

1/7 of 21

=1/7 ×21

=1×3

= 3

Please mark my answer the brainliest and rate me 5 star and follow me.

please please please please please please

There are 30 flowers 2/5 are daisies 1/6 are roses the rest are carnations may many carnations are in the vase

Answers

Answer:

14

Step-by-step explanation:

If you add 2/5 of 30 (12) to 1/6 of 30 (5) you get 16. You then subtract 30-16! I hope this helps, and have a great day!

Calculate each of the following parts of parts. Be sure to show your work. ​

Answers

Step-by-step explanation:

please mark me as brainlist please

A cube made out of lead has a mass of 12 grams. A side of the cube has length 1 cm. What would be the mass of the cube whose sides have length 1.5 cm?

Answers

Answer:

The mass of a lead cube whose side have length 1.5 cm is 40.5 grams

Step-by-step explanation:

1. Let's review the information given to

1. Let's review the information given tous to answer the question correctly:

1. Let's review the information given tous to answer the question correctly:Mass of the cube made out of lead = 12

= 12grams

Side of the cube = 1 cm

2. What would be the mass of a lead

What would be the mass of a leadcube whose sides have length 1.5 cm?

What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let's

What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let'scalculate the volume of the cube and

What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let'scalculate the volume of the cube andthen its density, this way:

Volume = Height* Width * LengthVolume=1*1*1Volume =1 cm

Let's recall the formula of the density:

Density Mass/Volume, therefore:

Density of the lead = 12/1= 12 gr/cm

Now, let's calculate the volume of the

Now, let's calculate the volume of thesecond cube:

Volume = Height Width LengthVolume = Height Width LengthVolume 1.5 * 1.5 1.5Volume = Height Width LengthVolume 1.5 * 1.5 1.5Volume =3.375 cm3

Finally, let's calculate the mass, using

Finally, let's calculate the mass, usingthe density of the lead we already

Finally, let's calculate the mass, usingthe density of the lead we alreadyknow:

Density = Mass/Volume12 Mass/3.37512 Mass/3.375Mass 12 *3.37512 Mass/3.375Mass 12 *3.375Mass = 40.5 gramss

find the x and y intercept of the graph of -9x+3y=12

Answers

Step-by-step explanation:

by graph method

x = -b/2a

b = 3, a = -9

x = -3/-18

x = 1/6

back to the equation to substitute

-9x + 3y = 12

-9(1/6) + 3y = 12

- 3/2 + 3y = 12

-3 + 6y = 24

6y = 27

y = 9/2

x = 1/6, y = 9/2

What is the volume I need some help

Answers

your answer is 64cm

thats it

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