When the greatest common divisor and least common multiple of two integers are multiplied, their product is 200. How many different values could be the greatest common divisor of the two integers

Answers

Answer 1

Answer:

k = 1 or 2 or 5 or 10

Step-by-step explanation:

Suppose GCD is k, 2 numbers are kA and kB

LCM is k*A*B,

GCD*LCM: k*(k*A*B) = 200

k² * A*B = 200

A*B could be 1 , 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

k² (k is integer) could be 1, 4, 25, 100

k = 1 or 2 or 5 or 10


Related Questions

You have 6 large candy bars you want to split each one into thirds.how many candy bar pieces will you then have

Answers

Answer:

18 lol

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

because you are getting a higher number of candy bars you can mutiply 6*3 to get 18

or you can do 3+3+3+3+3+3 or 6+6+6

Will someone like please help me on my math ;(
What is the recursive formula for this sequence?
10, 14, 18, 22, 26....?!!?!

Answers

Answer:

option A

Step-by-step explanation:

The given Series:

10,14,18,22,26... is an Arithmetic Progression.

Concept:

The difference between consecutive numbers always remains the same.

For instance:

14 - 10 = 18 - 14 = 22 - 18 = 4

This difference is known as the common difference.

In an A.P., the nth (an) term of a series can be found out by:

[tex] \boxed{ \sf{a _{n} = a + (n - 1)d}}[/tex]

Here,

an is the nth terma is the first term of the series = 10n is the number of termsd is the common difference = 4

[Don't get confused by (n- 1), it's simply the number of terms - 1. If the number of terms, somehow, is (n - 1) itself, your formula will be an = a + ((n - 1) -1)d]

Soltution:

The first term of the given Series is 10.

==> a1 = 10

Finding an:

the nth term will be:

an = 10 + (n - 1)4

==> 10 + 4n - 4

==> 6 + 4n

Strategy:

All the given options have an and a(n-1). So we have to deduce a relation between an and a(n- 1).

Finding a(n-1):

==> a(n-1) = 10 + ((n - 1) -1)4

= 10 + (n- 2)4

= 10 + 4n - 8

= 4n + 2

Subtracting a(n-1) from an:

==> an - a(n-1) = 6 + 4n - (4n + 2)

==> an - a(n-1) = 6 + 4n - 4n - 2

==> an - a(n-1) = 4

==> an = 4 + a(n-1)

Hence, option A is the answer.

Please help with this question. I dont want another detention

Answers

Step-by-step explanation:

Total Students = 450 (Everything within the sample/rectangle)

Choir = 110

Band = 240

Both = 60 (Where both circles overlap)

110+240+60 = 410 (Total students in Choir or Band or Both)

410 ÷ 450 = 0.91111111

Therefore the probability that a student chosen at random is in the choir, band or both out of the sample is 91%

Answer =
410/450

60+110+240

pleaseee help mee tysm​

Answers

The answer for this question is $850

Answer:

the answer is c

Step-by-step explanation:

Lucy bought a desk on sale for $883. This price was 15% less than the original price.

Answers

the answer to the question is 898$

x^2=x+2
Please solve by factoring
But I’ll take anything honestly

Answers

Answer:

Step-by-step explanation:

[tex]\sf x^2=x+2[/tex]

Subtract x+2 from both sides of the equation:

[tex]\sf x^2-(x+2)=x+2-(x+2)[/tex]

[tex]\sf x2-x-2=0[/tex]

Now, factor left side of equation:

[tex]\sf (x+1)(x-2)=0[/tex]

Set the factors equal to zero:

[tex]\sf x+1=0[/tex]            [tex]\sf x-2=0[/tex]

[tex]\boxed{\sf x=-1}[/tex]            [tex]\boxed{\sf x=2}[/tex]

_____________________________________

7. Use graph paper to graph each linear function:
f(x) = 4x - 7

Answers

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

Cristine's middle school has a total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teacher ratio proportional to the middle schools. How many students will Cristine find when she gets to high school?
A) 900
B) 1100
C) 2200
D) 2500

Answers

Answer: C) 2200

Step-by-step explanation:

PLEASE ANSWER ASAP
Please give an answer i can copy paste into the answer box, please nothing extra


Using the following 3 equations, answer the questions:

11x + y = 4x + y = -2x - 2y = 18


How can you determine which equations can be graphed more easily using x- and y-intercepts, rewriting in slope-intercept form, or using a table of values?

Which method works best for you personally? When does it not work as well?

Answers

Answer:

Step-by-step explanation:

I'll assume these are the equations:

11x + y =  18

4x + y  = 18

-2x - 2y = 18

=======

The easiest approach to graphing, for me, is to rearrange each to y=mx+b (slope-intercept) format:

y = -11x+18      y-intercept of 18      (0,18)y = -4x + 18     y-intercept of 18      (0,18)y =   - x -9       y-intercept of -9      (0,-9)

It seems to me that all three can be graphed easily from simply reading the slope and y-intercept values.  Since these are straight lines, all we need is two points for each line, and one is standing out in plain view, the y-intercept:  (0,y-intercept).  The second point can be determined by using whatever value of x makes the calculation easy

An example:  y =  - x -9.  Plot (0,-9) for the y intercept, and then calculate one additional point (e.g., for x = - 9).  (-9,0)  Then connect a straight line between these two points and presto (metric term for magic), a graph. For the first equation, I picked 20 for x.  For x = 20, y = -29.  That was easy, and we have the second point:  (1,-10)

See the attachment for how this was done.  The first points are all for the y-intercept (0,[18 or 9]).  All of the second points were calculated in my head by using a convenient value for x.

This approach doesn't work well for non-linear equations.  There, I find it easier to set up a table of values - a spreadsheet such as Excel is my tool for the calculations.

The attachment also demonstrates the Really Easy Way to graph functions.  DESMOS, a free, and excellent, online calculator.

Select the correct answer.
2
Which equation describes the line graphed above?
A.y = -4x - 5
B. y = 5x - 4
C. y = -1/5x - 4
D. y = -4x - 1

Answers

Try c i feel like its the right answer

Maya has to type a document of 2160 words. The graph below shows her initial progress. If
she continues at the same speed, how much time will Maya take to type the document?

Answers

The time it takes to type the document increases proportionately to the

number of words in the document.

The time it would take to type the document is; 36 minutes

Reasons:

From the possible figure from a similar question, we have;

The points on the graph are; (0, 0), (1, 60), (2, 120), (3, 180), (4, 240)

The graph is a straight line, therefore, given that the starting point is at the origin, using the points, (0, 0), (1, 60), we have;

The slope of the graph = 60

The y-intercept = 0

The equation that represents the proportional relationship shown on the graph is therefore;

y = 60·x

Where;

y = The number of words

x = The time it takes to type the document

The time it would take Maya to type the document of 2,160 words is given as follows;

2,160 = 60·x

Therefore;

[tex]\displaystyle Time, \ x = \frac{2,160 \ words}{60 \ words/minute} = \mathbf{36 \ minutes}[/tex]

The time it would take Maya to type the document is x = 36 minutes

Learn more about proportional functions here:

https://brainly.com/question/88422

A line passes through the point -10,9 and has a slope of 1/2. Write an equation in slope-intercept form for this line

Answers

Answer:

Step-by-step explanation:

The slope intercept form of an equation of a line is y = mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).

Since the slope is (1/2), we can write:

y = (1/2)x + b

We want a value of b such that it forces the line to go through point (-10,9).  Enter that point in the equation and solve for b:

y = (1/2)x + b

9 = (1/2)*(-10) + b

9 = -5 + b

b = 14

The eqyuation of a line with a slope of (1/2) and goes through point (-10,9) is:

y = (1/2)x + 14

See attachment.

This is my question pls help

Answers

Answer:

a = 15

Step-by-step explanation:

Substitute b = 12 , a = 9 into the equation

12 = [tex]\sqrt{a^2-9^2}[/tex]

12 = [tex]\sqrt{a^2-81}[/tex] ← square both sides

144 = a² - 81 ( add 81 to both sides )

225 = a² ( take square root of both sides )

± [tex]\sqrt{225}[/tex] = a , then

a = ± 15

a > 0 , so a = 15

I got these questions wrong, please explain how to do this

Answers

Answer:

See attachment

Step-by-step explanation:

A ramp for a loading truck is 13 long and covers 12 feet along the level ground. How many feet high is the highest point on the ramp?

Answers

Answer:

5 feet

Step-by-step explanation:

Using pythagoras' theorem a^2 = b^2 + c^2

13^2 = 12^2 + c^2

c^2 = 25

c = 5 feet

Answer:5

Step-by-step explanation:

e: x10+x15+x30=3

⇒3x+2x+x30=30

∴x=15

a: 1.5t+2.5t+3.5t=70+0.5t

⇒7.5t−0.5t=70

⇒7t=70⇒t=707=10

b: Let the number be x.

Given that, 2x3−x6=10

⇒4x−x6=10

x=20

d: 3x+5>25−x

⇒3x+x>25−5

⇒4x>20⇒x>204⇒x>5.

Simplify the expression 2i(4.5 – 20i) + 3i. Write your answer in the form a + bi.

Answers

Answer:

40 + 12i

Step-by-step explanation:

note that i² = - 1

2i(4.5 - 20i) + 3i ← distribute parenthesis by 2i

= 9i - 40i² + 3i

= 9i - 40(- 1) + 3i

= 9i + 40 + 3i

= 40 + 12i

Write an Equation in Slope Intercept form for the line described:

passes through (2.5, 0) and (0, 5)

Answers

Answer:

y=-2x+5

Step-by-step explanation:

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

m=(5-0)/(0-2.5)

m=5/-2.5

m=-2

y-y1=m(x-x1)

y-0=-2(x-2.5)

y=-2(x-2.5)

y=-2x+5

Please mark me as Brainliest if you're satisfied with the answer.

The graph shows a proportional relationship. Which equation matches the
graph?

A. y = 1/7 x
B. y = 14x
c. y = 7x
D.y = x

Answers

Answer:

The answer is C.

Just trust me.

Which congruence criteria is met in the following scenario?
ASA
SSS
AAS
HL
SAS

Answers

the answer is ASA. cause it tell you one side is congruent and 2 angles are congruent. the side is between the two angles

4. Find the solution for each equation:
x + 4 = 16

Answers

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

when solving and equation with a variable, you must work backwards and do the opposite of the equation

sooo… you must subtract 4 (opposite of +4 is -4)

[tex]16-4=2[/tex]

x=12

Answer:

12 easy

Step-by-step explanation:

4 +12 =16 it's easy

HEYY CAN U HELP PLS NO WRONG ANSWERRS
Part C
For similar triangles, the side lengths are proportional. So, you can write a proportion relating the two pairs of vertical and horizontal side lengths. For the line y = 2x, a triangle can be drawn 2 units up and 1 unit right from the origin.
Part F
Solve the equation from Part C so that y is by itself on one side of the equation. How are this equation and the equation of the line related? What does this relationship mean about any triangle created using this line?
this is part C

Answers

Answer:

y       t

_  = _

2     1

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding vertical sides are y and 2

The corresponding horizontal lines are x and 1

so

The proportion is equal to

Find the area of the figure:
6 in.
5 in.
M
5 in.
10 in.
The area is
square inches.

Answers

The area of the composite figuren as shown in the diagram is 90 in².

What is area?

Area is the region bounded by a plane shape.

To calculate the area of the figure, we use the formula below

Formula:

Area of the figure = Area of the rectangle+Area of the trapeziumA = aw+h(a+b)/2..................... Equation 1

Where:

a = Length of the rectangle = Length of on of the side of the trapezium = 10 inb = Length of the other side of the trapezium = 6 inh = Height of the trapezium = 5 inw = Width of the rectangle = 5 in

Substitute these values into equation 1

A = (5×10)+5(10+6)/2A = 50+40A = 90 in²

Learn more about area here: https://brainly.com/question/28470545

#SPJ1

Solve: 67 x 104. 67,000 6,700 670,000 6,700,000

Answers

Answer: 67 x 104 = 6968

Step-by-step explanation:

Answer:

7303

Step-by-step explanation:

I just calculated 67x109 and it gave me 7303

HOPE THAT HELPS YOU MARK ME BRINILYLIST

If measure of angle 3 = 74° find each measure NEED HELP ASAP

Answers

Angles 1,2,3,4 will all equal 74°

Help me help help helppppppppppp

Answers

Answer:

61.2$

Step-by-step explanation:

I think that's how it's done.

I need help with this math question fast​

Answers

Answer:I believe the answer is e

Step-by-step explanation:

Who can help me with this!!

Answers

Walk - 9
Bus - 13.5
Car and bike - 6.75 each
This feels wrong but I got these answers.

12
66 77 84 | 3
'
43
mZ1 =
m22 =
m23 =
-

Answers

Answer:

30; 41 69 :):):):):):):):)')'))'):):):):):):)):):):

Clare wants to buy a used wide-screen TV that sells for $2,000 cash. She will make a down payment of $1,000 and then six monthly payments of $200. What is the full installment price and the annual interest rate ?

Answers

The full installment price is $ 2200, and the annual interest rate is 10%.

Since Clare wants to buy a used wide-screen TV that sells for $ 2,000 cash, and she will make a down payment of $ 1,000 and then six monthly payments of $ 200, to determine what is the full installment price and the annual interest rate is due perform the following calculation:

1000 + 200 x 6 = 1000 + 1200 = 2200 1000 = 100 1200 = 120 20/12 x 6 = 10

Therefore, the full installment price is $ 2200, and the annual interest rate is 10%.

Learn more about maths in https://brainly.com/question/25866144

Which inequality describes the possible values for x?
+
24°
36
(3x-6)°
34
e
A 2 B 2 C2 D2

Answers

The inequality that best describes the possible values of x is; Choice A: 2 < x < 10

In a polygon such as that given in the question;

Two scenarios may occur regarding angle; (3x -6)

They are as follows:

3x - 6 < 24. OR3x - 6 > 0.

This is so because angle 3x - 6 must be between and 24° since 36 > 34

By evaluation;

3x - 6 < 24

3x < 24 + 6

3x < 30

x < 30/3

x < 10

Also,

3x - 6 > 0

3x > 6

x > 2.

Therefore, the inequality that best describes the possible values of x is; Choice A: 2 < x < 10

Read more on inequalities:

https://brainly.com/question/22137960

The inequality that describes the possible values of x is 2 < x < 10.

The given parameters:

Longer length = 36Shorter length = 34Angle facing the longer length = 24⁰Angle facing the shorter length = (3x - 6)⁰

From the given polygon, the angle facing the shorter length (34) will have the following possible values;

(3x - 6)⁰ < 24⁰, or(3x - 6)⁰ > 0

The range of of values of x is calculated as follows;

3x - 6 < 24

3x < 24 + 6

3x < 30

[tex]x < \frac{30}{3} \\\\x< 10[/tex]

or

3x - 6 > 0

3x > 6

[tex]x >\frac{6}{3} \\\\x >2[/tex]

Thus, the inequality that describes the possible values of x is 2 < x < 10.

Learn more about inequality here: https://brainly.com/question/14361489

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