The least common multiple of two numbers is 84, and one of the numbers is 5 less than the other number. What are the numbers? Complete the explanation.


The two numbers are __ and __.84 is a multiple of each of its factors. The factors with a difference of 5 are__ and __ their LCM is 84.

Answers

Answer 1

Answer:

factor 1 = x

factor 2 = x - 5

(factor 1)  *  (factor 2)  = 84

    (x)      *      (x - 5)     = 84

          x² - 5x              = 84

              x² - 5x - 84   = 0

             (x - 12) (x + 7)  = 0

x - 12 = 0    or     x + 7 = 0

 x = 12       or      x = -7

factor 2 = x - 5   = (12) - 5  = 7    or    (-7) - 5  =  -12

Answer: 12, 7     or    -7, -12

Answer 2

Answer:

Below.

Step-by-step explanation:

84 = 7 * 12.

The 2 numbers are 7 and 12.

12 and 7 have a difference of 5.


Related Questions

Harry was given an assignment. He had 42 days to get 336 tasks done at work.
Which operation would he use to figure out how many tasks he needs to complete each day?

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Harry needs to use division to find how many tasks he need to do each day. Harry needs to do 336÷42 = 8.

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Answer:

She is wrong because each our, she earns 8$. 3 hours would give her $24 and another half-hour would give her 4 more dollars which would bring her to $28

Step-by-step explanation:

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Answer:

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D. Rational numbers

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Step-by-step explanation:

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Answer:

32

Step-by-step explanation:

divide 1320 by 8 to see how many feet per minute and then divide that number by 5,280 ft to see your final  answer.  

Explain how you might go from gallons to cups using more than one conversion factor.

Answers

Answer:

use it as so-

4 cups/1 x 1 pint/2 cups= 2 pints

2 pints/1 x 1 quart/2 pints = 1 quart

1 quart/1 x 1 gallon/4 quarts= 1/4 gallons

therfore, 4 cups is equal to 1/4 gallons. hope this helps!

In order to convert gallons to cups using more than one conversion factor, first convert gallons to quarts and then convert quarts to cups.

How to convert gallons to cups?

The first step is to convert gallons to quarts:

1 gallon = 4 quarts

The convert quarts to cups:

1 quart = 4 cups

To learn how to convert units, please check: https://brainly.com/question/25993533

#SPJ2

Overnight temperature decreased by 15 1/2 degrees F. If the temperature began at -3.6 degrees, What is the current temperature?

Answers

Answer:

your answer is -19.1

Step-by-step explanation:

you add -3.6 and -15.5 to get -19.1

to determine that 15.5 is negative look at key words surrounding it, like decreased, that tells you that your number is a negative.

hope this helped :)

Which inequality best represents that ice cream at −5°C is cooler than ice cream at 4°C?

(3.05 Practice Test)

Answers

Answer:

4°C > -5°C

hope this helps!

and dont forget 2

MARK ME BRAINLIEST!

Step-by-step explanation:

Answer:

−5°C < 4°C?

Step-by-step explanation:

if a = and b = -1 what is the value of ab -b^2

Answers

Answer:

-2

Step-by-step explanation:

To solve you need to replace the variables with their numbers.

3(-1) - (-1^2)

-1 x -1 = -1

3 x (-1) = -3

-3 - (-1) =

-2

ill give brainliest and 25 points to whoever makes me laugh

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Sorry mam Bin laden is not in the mood of joke today hope jeff bezus would do that for you

Answer:

Today at the bank, an old lady asked me to help check her balance. So I pushed her over.

Step-by-step explanation:

Name _____________________________________ Date ______________________________Pd______
PERCENT APPLICATION
Use your understanding of percentages to complete the table below. Be sure to show your work.
Unit: Percents Homework 4
PROBLEM
PROPORTION
WORK AND SOLUTION
1. Francis heard that a car stereo system was on sale for 30% off. If the sale price was $57.75, what was the original price of the stereo?
2. Mr. Robins earns a commission on each airfare he books. At the end of the day, he had booked $208.60 worth of airfare and earned $31.29. What is Mr. Robins’ commission rate?
3. The bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip. What was the total bill including tip?
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st
70% off on February 1 . If a
coat costs $57.75 on January 31st, how much will it cost on February 1st?
Answer the multiple choice question below.
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Answers

maybe try cutting it to it’s just the problem it’s hard to understand sorry:(
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In a triple batch of spice mix, there are 15 teaspoons of salt and 6 teaspoons of garlic powder. how much salt is used with 8 teaspoons of garlic powder?
in a triple batch of spice mix, there are 15 teaspoons of salt and 6 teaspoons of garlic powder. how much salt is used with 8 teaspoons of garlic powder?

Answers

20 teaspoons

Per batch amounts:
Salt = 15/3 = 5 teaspoons
garlic powder = 6/3 = 2 teaspoons

8 teaspoons of garlic powder number of batches:

8/2 = 4 batches

4 batches of salt

4 * 5 = 20 teaspoons

Answer:

2 teaspoons

Divide 15 by 5:

15/5 = 3

Divide 6 by 3:

6/3 = 2

Thus, there are 2 teaspoons of garlic powder used :)

Hope this helps

please solve both will give all points and brainiest

Answers

5

Step-by-step explanation:

1: 2
2: 1
3: 6
4: 6
Sorry I can’t solve the rest..

The ratio table shows the weights for different amounts of snow. Find the unit rate in pounds per cubic foot. Give your answer in decimal form.

Answers

Answer:

1.75

Step-by-step explanation:

The answer to your question is 8.75

Find a linear inequality that contains the points (1,0) and (-5, -2)

Answers

Answer:

-5

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

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Answer:  x = 21

Explanation:

The two angles shown combine to 180 degrees because the angles form a straight line.

(3x+18)+(4x+15) = 180

7x+33 = 180

7x = 180-33

7x = 147

x = 147/7

x = 21

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Answers

The value of Angle Y is 100 because a triangle is 180 degrees and angle c is 80 which means 180 minus 80 equals 100

Answer:

y=50°

Step-by-step explanation:

if all triangles add up to 180° you would subtract the angle you already know(80) from 180 which would be 100°

since there are 2 corners we dont know you would divide by 2 which would be 50°

ok i got your mcdonalds 2 - 4x = 14

Answers

Answer:

x= gimme mcdonalds

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

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Answer: for question 11. the answer is 0.000001

Step-by-step explanation:

Which discovery by astronomer Vera Rubin helped prove the existence of dark matter?
HELP MEEEH :c

Galaxies exist outside of the Milky Way.
The expansion of the universe is accelerating.
Galaxies spin faster than they should, based on their visible matter.
Gas giants form farther from the Sun, where temperatures are cooler.

Answers

Answer:

Galaxies spin faster than they should based on their visible matter

Step-by-step explanation:

Hope this helps :)

Answer: Galaxies spin faster than they should based on their visible matter

Step-by-step explanation:Took the test got an A

PLEASE HURRY WILL GIVE BRANLIEST!!!

Answers

i have concluded the answer is x=6.8

I NEED HELP PLEASE!!!!

Answers

Answer:

  see attached

Step-by-step explanation:

The missing measures can be found by making use of the properties of tangents, special triangles, trig functions, and circles.

Radii

All of the incircle radii are the same length:

  CJ = CK = CL = 4

Angles

All of the segments to the incenter from the triangle vertices are angle bisectors. Of course, the sum of angles in a triangle is 180°, and the acute angles in a right triangle are complementary.

  ∠CML = ∠CMJ = 20°

  ∠CPL = ∠CPK = 40° . . . . . (∠P = 180° -40° -60° = 80°)

  ∠CNJ = ∠CNK = 30°

The central angles are complementary:

  ∠MCL = ∠MCJ = 70°

  ∠PCK = ∠PCL = 50°

  ∠NCJ = ∠NCK = 60°

Tangents

The two tangents from a vertex are congruent. Each will be the radius divided by the tangent of the (half) vertex angle.

  ML = MJ = 4/tan(20°) = 11.0

  PL = PK = 4/tan(40°) = 4.8

  NJ = NK = 4/tan(30°) = 6.9

Angle bisectors

The length from each vertex to the incenter will be the radius divided by the sine of the (half) vertex angle.

  MC = 4/sin(20°) = 11.7

  PC = 4/sin(40°) = 6.2

  NC = 4/sin(30°) = 8.0

__

Additional comment

The given dimensions are slightly off. The angle at M is 19.9831°, or the length LM is 10.9899 units, or the radius is 4.00367. In order to keep the numbers nearly consistent, we have rounded to one decimal place. The 30° triangle is the only one with an angle that has a rational trig function (sine).

It takes Tyreke 28 minutes to bike to his school, which is 7 miles away

If Tyreke continues to pedal at this pace, how long would it take for him to get to the soccer field, which is 8.8 miles away from school?

Answers

Answer:

35.2 minutes

Step-by-step explanation:

Time taken=28min

Distance=7miles

Speed=7/28=0.25milesperminute

Time=distance/speed

Time=8.8/0.25

=35.2 minutes

35.2 hopes that Helps

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Answers

Answer:

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Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

1 and 2 are vertical

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Reason about the correct unit of measure.
Explain your reasoning, using complete sentences.

Answers

Answer:

they each

Step-by-step explanation:

1. Lina walks 500 feet because 500 yards is equal to 1500 feet. Elena’s house is farther away meaning Elena walks a longer distance.

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Consider the function f(x) = 2x^2 - 4x + 9. Evaluate 2f(3) + 3f(-3).

Answers

Answer: 147

Step-by-step explanation:

To evaluate 2f(3)+3f(-3), we first need to find the values of f(3) and f(-3). Given f(x), we just plug in x=3, -3 into f(x).

f(3)=2(3)²-4(3)+9         [exponent]

f(3)=2(9)-4(3)+9          [parenthesis]

f(3)=18-12+9                [subtract]

f(3)=6+9                       [add]

f(3)=15

Now, we find f(-3).

f(-3)=2(-3)²-4(-3)+9      [exponent]

f(-3)=2(9)-4(-3)+9         [parenthesis]

f(-3)=18+12+9               [add]

f(-3)=30+9                    [add]

f(-3)=39

With the values of f(3) and f(-3), we can evaluate the expression.

2(15)+3(39)                  [multiply]

30+117                          [add]

147

Now, we know the value is 147.

Find the quotient:
7/8 ÷ 3/8

Answers

Answer:

2 and 5/8

Step-by-step explanation:

Use point-slope form, y - y1 = m(x - x1), to find the linear equation of a line that passes through the points (2, -1) and (10, 7).

Answers

Slope: 7 - - 1 divided by 10-2 = 1
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Answer:

y =  ✔ 1 x +  ✔ -3

Step-by-step explanation:

edge 2020!

write a word problem with 3-4 full sentences that can be represented by the expression 14 1/8 divided by 3.

Answers

Answer:

Step-by-step explanation:

Mary and her two friends are going out to eat. Mary orders 14 1/8 pints of ice cream ice cream cones. how much ice cream will each friend including mary get if they all get equal amounts.

I answer so you can give the other person branlilest

A rental hall has 60 tables.
55% of the tables have 10 chairs at each table.
The remaining 45% of the tables have 8 chairs at each table.

Complete the model.
Then complete the statements to find the total number of chairs in the rental hall.

Answers

Answer:

Plz name me brainlieset thank you

Step-by-step explanation:

55% of the tables would be 33 tables times 10 chairs equals 330 Chairs That mean 60 Tables -33 tables Leaves you with 27 tables Times 8 Chairs Equals 216 Chairs So 330 and 216Equals 546 chairs

Answer:

55% 10 chairs:33

45% 8 chairs:27

330

216

546

Step-by-step explanation:

i just got it right

Sally spelled 2 words incorrectly out of 20 spelling words on the test. What percent grade did Sally get on the test?

Answers

Answer:

90%

Step-by-step explanation:

So Sally gets 18/20 of the questions correct then you need to make the denominator of the fraction to 100 which makes a percent. So you multiply both the numerator and denominator by 5:

90/100

which is equal to 90%

Hope this helps!

Answer: 90%

Step-by-step explanation:

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