Mathematics College

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Please help me with parts b and c. ​

NO LINKS!!!Please Help Me With Parts B And C.

Answers

Answer 1

9514 1404 393

Answer:

  b.  A × B = GCF(A, B) × LCM(A, B)

  c. 15 = GCF × LCM / 20

Step-by-step explanation:

b. The products of the numbers in the table are 80, 108, 216, 45.

The products of the corresponding GCF and LCM are 80, 108, 216, 45.

Conjecture: the product of the numbers is equal to the product of the GCF and LCM.

__

c. GCF×LCM = 5×60 = 300 = A×B = 20×B

  B = 300/20 = 15

The other number is 15, found by using the conjecture of part b.

_____

Additional comment

If you think for a minute about what the GCF and LCM are, you realize the relationship discussed in this problem must be the case. Consider the factors of two numbers A and B:

  A = (factors in common with B) × (factors unique to A)

  B = (factors in common with A) × (factors unique to B)

The GCF, by definition, are (factors in common between A and B).

The LCM, by definition, is the product of unique factors:

  (common factors) × (factors unique to A) × (factors unique to B)

__

Then the product of the LCM and the GCF is ...

  GCF × LCM =

  (factors in common) × ((factors in common) × (unique to A) × (unique to B))

Using the associative and commutative properties of multiplication, we can rearrange this product to be ...

  ((factors in common)×(unique to A)) × ((factors in common)×(unique to B))

  = A × B

__

Personally, I use a kind of diagram to represent the factorization of A and B and their LCM and GCF:

  [unique to A (common] unique to B)

Then A = factors in [ ], and B = factors in ( ). The stuff in (common] is the GCF, and the overall product is the LCM.

Using the example of part c, this would look like [4 (5] 3), so A = 4·5 = 20 and B = 5·3 = 15. The GCF is 5, and the LCM is 4·5·3 = 60.

The end parts [unique to A( and ]unique to B) can have no common factors. Any common factors must reside in the (common] part.

Related Questions

solve pls brainliest

Answers

Answer:

a) 52

B)6

Step-by-step explanation:

B) -5+11=6

It's not that hard, you shall know negative signs rules

2/5 x 3/7
What is the answer please.

Answers

Answer:

6/35 pls brainliest

Step-by-step explanation:

Question 1 (3 points)
CALCULATOR PERMITTED FOR SUBPART 3
At a bake sale, plates of cookies, p, are sold for $5 each. The amount of money
from the sale of cookies is expressed as dollars, d. Which equation represents the
earnings of the bake sale?
Plates of Cookies (p)
1
2
3
4
Earnings (d)
5
10
15
20
HN
o lol
O a
d = p + 5
Oь
d =P
=
5

Answers

done good job question giy

Sarina rounded a number to the nearest whole number and got 7.
which number could be the number Sarina rounded to the nearest whole number?

Answers

Sarina round 49 to get the answer 7

solve the inequality. graph your solution
6(y+1)>6

Answers

Step-by-step explanation:

[tex]6(y + 1) > 6 \\ 6y + 6 > 6 \\ 6y > 0 \\ y > 0[/tex]

please help me with this sum​

Answers

its upsidedown what are you doing

what's the answer???

Answers

Answer:

Step-by-step explanation:

y-4=-2(x-8)

The area of manang district is square kilometre is 2,246 find the prime factors of 2246​

Answers

The prime factor of 2246 is 1123

Select the correct answer from each drop-down menu.

The slope of line p is___
and the slope of line q is ____

Answers

Slope is rise/run which is how I found the slopes.

Slope for line q is -3 and for line p it is 3.

Hope this helps !!

-3-(-5)What is the answer to this equation

Answers

Answer:

2

Step-by-step explanation:

[tex] - 3 - ( - 5) \\ - 3 + 5 \\ 2 \\ [/tex]

Consider the equation 2b = a. Solve the equation for b.

Answers

Answer:

b = a/2

Step-by-step explanation:

Answer:

the coefficient of b is 1 so and 1*0 is 0

what is the slope of the line containing the points (3,-7) and (-3,7)

Answers

Answer:

-7/3

Step-by-step explanation:

To find the slope, we use the slope formula

m= ( y2-y1)/(x2-x1)

   = ( 7 - -7)/(-3 -3)

    = ( 7+7)/( -6)

    = 14/-6

   = 7/-3

   = -7/3

Step-by-step explanation:

m = y2-y1 / x2-x1

= 7+7 / -3-3

= 14/-6

= -7/3

What is the result of the division?
2x^3-5x*4
—————-
x-3

Answers

Answer:

2x² + 6x + 13 remainder 43

Step-by-step explanation:

Long division:

2x³ - 5x + 4 ÷ x - 3 = 2x² + 6x + 13 rem 43

2x³ - 6x²

       6x² - 5x

      6x² - 18x

                13x + 4

                13x - 39

                        43

In 1995, the cost of tuition at a large Midwestern university was $146 per credit hour. In 2001, tuition had risen to $200 per credit hour.

Determine a linear equation to represent the cost, C, of tuition as a function of x, the number of years since 1990. (Assuming the cost increases by the same amount each year.)

Linear Equation:
 
In the year 2008, tuition will be ($ )per credit hour.

In the year( ) , tuition will be $317 per credit hour

Answers

Answer:

72 is the correct answer

Answer:

I believe 72 is the correct answer

Step-by-step explanation:

Which equation does not belong? Explain your reasoning 2x + y = 4 y = -2x + 4 f(x) = -2x + 4 2x + 2y = 4

Answers

Answer:

2x + 2y = 4  does not belong

Step-by-step explanation:

2x + y = 4     → y = -2x + 4

y = -2x + 4    → y = -2x + 4

f(x) = -2x + 4 → y = -2x + 4

2x + 2y = 4   → y = -x + 2

Whats the two answers? ( Branliest )

Answers

Answer:

B and C

Step-by-step explanation:

Factors:

(A) x + y, no product(B) 5(x + y), two factors(C) (x - y)(x + y), two factors(D) xyz, three factors

#A

x+y

No

#B

5(x+y)5x+5y

Yes

#C

(x-y)(x+y)

Yes

#D

xyz

No

solve for w
6w+2=9w+14
​

Answers

Answer:

w = 4

Step-by-step explanation:

6w+2=9w+14

9w-6w=14-2

3w=12

w=12/3

w=4

PLEASE HELP WITH THIS ONE QUESTION
A 60 cm by 80 cm photo is to be surrounded with a matting of equal width. The photo and matting is to be covered by a 1 m^2 sheet of expensive glass. Find the width of the matting.

Answers

We know the area = width height. So we can set up this equation, where x is the unknown space between the entire frame and the photo:
(60cm + x) (80cm + x) = 1m^2

And then convert the m^2 to cm^2 so it’s all the same units:
1m^2 = 1m x 1m = 100cm x 100cm = 10000cm^2

So we get:
(60cm + x) (80cm + x) = 10000cm^2

Then solve for x:

(60cm + x) (80cm + x) = 10000cm^2
4800 + 140x + x^2 = 10000
x^2 + 140x - 5200 = 0

Using the quadratic formula:
x = (-b +/- sqrt(b^2 - 4ac)) / 2a

x = ( -140 +/- sqrt(140^2 - 4(1)(-5200)) )/ 2(1)
x = ( -140 +/- sqrt(19600 -(-20800)) )/ 2
x = ( -140 +/- sqrt(40400)) / 2

x = ( -140 + 200.9975 )/ 2
x = 30.49875

x = (140 - 200.9975)/2
x = -60.9975

So we get:
x = 30.49875 or -60.9975


The width of the matting is the part of the width underneath the photo (60cm) plus the spacing between the photo and the border, x (which would have to be 30.5 because it doesn’t make sense as a negative). So it’s:
60cm+30.50cm = 90.50 cm

The width of the matting is 90.50cm.

Simplify (−4.5)(−6)(5.4).
i need the answer pls

Answers

Answer:

145.8

Step-by-step explanation:

−4.5 x −6 x 5.4

Answer:

the answer is 145.8

Step-by-step explanation:

sorry if I did it wrong

I have 47 questions I posted going to post the second if you answer all the I give you 100 points and brainlist

Answers

Answer:

1. 245

2. Rational Number

3.integers

4. false

5.square root

Step-by-step explanation:

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer:

44 millimeters

Step-by-step explanation:

The ratio is set up as millimeters : meters

On the map, 4 millimeters : 9 meters

The actual length ratio is represented as x millimeters : 99 meters

Since we know its proportional, we can set up the equation:

4/9 = x/99

Solve:

4/9 = x/99

4 * 99 = 9x

396 = 9x

x = 44 millimeters

Another Way

Since we already know it is proportional, 99 = 9 x 11

So we can multiply 4 x 11 to get 44 millimeters.

-Chetan K

Which of the following coordinate points have a y-value of 6? Select all that apply.

A) (3, 6)
B) (6, 5)
C) (8, 6)
D) (1, 6)

Answers

Answer

A, C, and D

Step-by-step explanation:

You are trying to find the y value in (x,y) form. Therefore, it has to be A, C, and D because they all have a 6 in the y value.

please answer the question above​

Answers

If a polygon has 20 sides, then the sum of all of its interior angles is 3240°.

Negative 1/3 in decimal form

Answers

Answer:

-0.3333334

Step-by-step explanation:

common sense

Answer:

-0.33

Step-by-step explanation:

Can anyone help me with the problem in the picture?

Answers

X = 45.

Since opposite exterior angles are congruent, you can set the 2 values equal to each other. When you solve for x, you should get 45.

I WILL MARK BRAINLIST ASAP

Andre opened a bank account. He deposited $135 each month for 5 months. His bank charged him $5 each month to use the account.

How much money is in Andre's account after 5 months?

A.
$675

B.
$650

C.
$115

D.
$130

Answers

Answer:

B. $650

Step-by-step explanation:

Every month Andre is losing $5 each month and he adds on $135 each month. This can be expressed as:

($135 × 5) - ($5 × 5)

= $675 - $25

= $650

B. $650 ( Explanation: $135 x 5(months) = 675 - 25= 650
Note. $ 25 represents the total monthly charge for each month for 5 months (5x5=25)

I have more question then this one

Answers

The last option is correct

HELPPPPP I NEEED TO GET A GOOD GRADE OR I'M BUSTEDDDDDDDD!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

(MATH)

I WILL GIVE BRAINILEST! PIC DOWN BELOW!!

Answers

Answer:

D) -31

Step-by-step explanation:

use PEMDAS

3^2-(5 x 2^3)

3^2-(5 x 8)

3^2-40

9-40

-31

the force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F = ma where m is the objects mass. if a 12-newton force causes the object to accelerate to 3 m/s2 , what is the object's mass? the unit for this mass is kg.

help me pls /ᐠ｡ꞈ｡ᐟ\​

Answers

Answer: According to Newton s Second Law of Motion, also known as the Law of Force and Acceleration, a force upon an object causes it to accelerate according to the formula net force = mass x acceleration. So the acceleration of the object is directly proportional to the force and inversely proportional to the mass.

Step-by-step explanation:

If F = ma where m is the objects mass. if a 12-newton force causes the object to accelerate to 3 m/s2 , then the mass in kg of the objects is 4 kg

What is Force?

When a body tends to modify or change the state by an external cause, it is called Force.

Given:

F=ma

Where,

F = Force (N)

m = mass (kg)

a = acceleration (m/s²)

If

F = 12-Newton

m = 3 m/s²

a = ?

F = ma

12 = m × 3

12 = 3m

divide both sides by 3

m = 12/3

m = 4 kg

Therefore, the mass in kg of the objects is 4 kg

To learn more on force click:

brainly.com/question/25250873

#SPJ2

What is a pair of alternate interior angles?

Answers

Answer:

D. ∠2 and ∠8

Step-by-step explanation:

common sense lol

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