Three whole numbers have an HCF of 3 and an LCM of 180. Two of the numbers are 45 and 60. Find the third number.

Answers

Answer 1

Answer:

Step-by-step explanation:

45=3×3×5

60=2×2×3×5

L.C.M=180

2| 180

2|90

3|45

3|15

3|5

180=2×2×3×3×5

third number=2×3=6

or 2×2×3=12

or2×3×3=18

or 2×2×3×3=36

so third number can be one of  6,12,18,36


Related Questions

Is this relation a function?

Answers

Answer:

Hello,

Answer D

Step-by-step explanation:

In a function a value may not have 2 images.

y1=f(x1) and y2=f(x1) ==> y1=y2

If the cost of fencing a rectangular garden per meter is rupees 5 . Find the amount needed to do the fencing of the garden with length 400 m and breadth 150 m .

Answers

Answer:

6500 rupees

Step-by-step explanation:

We are given a rectangular garden is the dimensions of:

Length = 400 m

Breadth = 150 m

Perimeter of a rectangle = 2(L + B)

= 2(400 + 150)

= 2(650)

= 1300m

We are told that the cost of fencing a rectangular garden per meter is rupees 5

1 m = 5 rupees

1300m =

Hence, the cost to fence the entire garden = 1300 × 5 rupees

= 6500rupees

Pls help me , idk how to do

Answers

Answer:

  PQRS is a parallelogram with right-angle corners

Step-by-step explanation:

We know that the midsegment of a triangle is parallel to the base.

  QR is the midsegment of triangle BCD, so is parallel to BD.

  SP is the midsegment of triangle DAB, so is parallel to BD.

QR and SP are both parallel to BD, so are parallel to each other.

  RS is the midsegment of triangle CAD, so is parallel to AC.

  PQ is the midsegment of triangle ABC, so is parallel to AC.

RS and PQ are both parallel to AC, so are parallel to each other.

__

We have shown that opposite sides of PQRS are parallel to each other, so the figure is at least a parallelogram.

__

By virtue of the congruence of corresponding angles where a transversal crosses parallel lines, each of the so-far named lines can be shown to be perpendicular to any of the lines it meets.* Hence the figure PQRS must be a parallelogram with right angles, a rectangle.

_____

* Transversal BD crosses PQ, AC, and RS at right angles. Hence, transversals RS and PQ cross QR, BD, and SP at right angles. That is, the angles at corners P, Q, R, and S of the parallelogram are right angles.

44) 93
O 2 remainder of 6
2 remainder of 7
2 remainder of 4
2 remainder of 5

Answers

2 with a remainder of 5

Help ASAP ASAP!!! if 3,p,q,24 are the consecutive terms of an exponential, find the values of p and q.

Answers

Step-by-step explanation:

According to Geometric Progression :

[tex]a(nth) = a1 \times {r}^{n - 1} [/tex]

a(nth) = nth term of the G.P.

a(nth) = nth term of the G.P. a1 = 1st term of G.P.

a(nth) = nth term of the G.P. a1 = 1st term of G.P. r = common ratio

a(nth) = nth term of the G.P. a1 = 1st term of G.P. r = common ration = terms in the G.P.

Now,

[tex]24 = 3 \times {r}^{4 - 1} [/tex]

[tex]r = 2[/tex]

The G.P. Is 3, 6, 12, 24.

Thus, p = 6 and q = 12

Plz help guys, it is a pretty easy sum​

Answers

Answer:

a3+13a

Step-by-step explanation:

sorry I don't know how to solve this

Answer:+-3

Explanation:

I added 4 on both side so that a^2+1/a^2-2 becomes a^2+1/a^2+2 which is Special products of (a^2+1/a^2).

Find the distance on the number line between 14.3 and 4.1.

Answers

[tex]\\ \sf\longmapsto 14.3-4.1[/tex]

[tex]\\ \sf\longmapsto \dfrac{143}{10}-\dfrac{41}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{143-41}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{102}{10}[/tex]

[tex]\\ \sf\longmapsto 10.2[/tex]

Rita got three colors of beads, half of them are pink. She used all her pink beads to make some bracelets. If the number of pink beads she used for each bracelet is one eighths of the total number of beads, how many bracelets did she make?

Answers

Answer: she made 4 bracelets.

Step-by-step explanation:

Let x, y, z are the number of three kinds of beads, where x= number of pink beads.

As per given, number of pink beads= half of total beads  

[tex]\Rightarrow\ x=\dfrac{1}{2}(x+y+z)\\\\\Rightarrow 2x= x+y+z\\\\\Rightarrow\ x= y+z\ \ \ ...(i)[/tex]

Also, She used all pink beads,  Number of pink beads she used for each bracelet= one eighths of the total number of beads

[tex]\dfrac{1}{8}(x+y+z)\\\\=\dfrac{1}{8}(x+x)\ \ \ [ {\text{From (i)}}][/tex]

[tex]=\dfrac{1}{8}(2x)\\\\=\dfrac{x}{4}[/tex]bracelets =

Number of bracelets = (Number of pink beads) ÷ (Number of pink beads used for each bracelet)

[tex]=\dfrac{x}{\dfrac{x}{4}}=4[/tex]

Hence, she made 4 bracelets.

-19+[27-{14+(5-2)×4÷2​

Answers

EXAMPLE QUESTION+ANSWER;-

16 - [5 - 2 { 14  of  2 - (8/4 * 2 - 1 + 3 } ]

= 16 - [5 - 2 { 14  of  2 - (2 * 2 - 1 + 3 } ]

= 16 - [5 - 2 { 14  of  2 - (4 - 1 + 3 } ]  

= 16 - [5 - 2 { 14  of  2 - (3 + 3 } ]

= 16 - [5 - 2 { 14  of  2 - 6} ]

= 16 - [5 - 2 { 28  - 6} ]

= 16 - [5 - 2 {22} ]

= 16 - [5 - 44]

= 16 + 30

= 55

Answer: 55

Please help me to solve this question ​

Answers

Answer:

x = 64°, y = 32°

Step-by-step explanation:

The sum of the angles on a straight line = 180° , then angles on PS are

2x + y + 20 = 180 ( subtract 20 from both sides )

2x + y = 160 → (1)

Angles on QT are

x + 3y + 20 = 180 ( subtract 20 from both sides )

x + 3y = 160 → (2)

Solve (1) and (2) simultaneously

Rearrange (1) expressing y in terms of x by subtracting 2x from both sides

y = 160 - 2x → (3)

Substitute y = 160 - 2x into (2)

x + 3(160 - 2x) = 160 ← distribute and simplify left side

x + 480 - 6x = 160

- 5x + 480 = 160 ( subtract 480 from both sides )

- 5x = - 320 ( divide both sides by - 5 )

x = 64

Substitute x = 64 into (3)

y = 160 - 2(64) = 160 - 128 = 32

Then

x = 64°, y = 32°

150°
2x + 100°
X =
degrees

Answers

Answer:

x = 25°

Step-by-step explanation:

The 2 angles are vertical angles and are congruent , then

2x + 100 = 150 ( subtract 100 from both sides )

2x = 50 ( divide both sides by 2 )

x = 25°

Answer: x = 25°

Step-by-step explanation:

⇒2x + 100 = 150

⇒2x = 150-100

⇒x = 50/2

⇒x = 25

Reason (VOA) vertically opposite angles are equal.

please click thanks and mark brainliest if you like :)

what does range mean in maths

Answers

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.
Biggest value-smallest value



Hope this helps

Write a real-life problem that you can solve using a 45 degree, -45 degree, -90 degree triangle with an 18-ft hypotenuse. Describe your solution

Answers

Answer:

A triangle with angles:

"45°, 45°, 90°"

Is a triangle rectangle, with two catheti of equal length.

Now, there is a lot of problems that you can solve with this:

"Suppose that you want to find the height at which you need to attach a wire in a tree, such that the distance between the tree and the ground is 18ft, and the distance between the base of the tree and the two points where the wire is fixed is exactly the same"

Well, here we have a triangle rectangle with a hypotenuse of 18 ft, with cathetus of equal length (the catheti are the tree and the distance between the base of the tree and the point where the wire is attached at the ground)

And because the catheti are equal, then the angles are 45°, 45° and 90°.

the function y = a / x is given Which function will be obtained if the point P (-2,3) belongs to the graph of the given function​

Answers

Answer:

The function is y = -6 / x.

Step-by-step explanation:

Since (-2, 3) belongs to the function, we know that x = -2, y = 3 is a solution to the function so when we plug those values in to solve for a, we get:

3 = a / (-2)

3 * (-2) = a / (-2) * (-2)

-6 = a so the function is y = -6 / x.

Please help me answer I need an answer asap:3

Answers

Answer:

please mark my answer brainliest

Step-by-step explanation:

it's 115

Answer:

115 degrees.

Step-by-step explanation:

< DBC = (180 - 40) / 2 = 70    ( as it is a base angle of an isosceles Δ)

< EBD = 45 degrees ( as the diagonal of a square bisects 90 degree <).

So < EBC = 70 + 45 = 115 degrees.

what is 2/3 divided by -1 1/3​

Answers

I think it is -0.5 because 2/3 is 0.66 repeated then I -1 1/3 equals - 1/3 so you just divide both and it equals -0.5

What are the answers to the following.​

Answers

Answer:

Step-by-step explanation:

[tex]8-11 =-3\\\\b. -8+10 = 2\\\\c. 13+(-6) = 13-6 \\= 7\\\\d. 7-(-3)\\= 7+3\\=10\\\\e.-5-(-2)\\=-5+2\\=-3\\\\f. -15-(-25)\\=-15+25\\=10\\\\g. -3+(-6)-(-9)\\= -3-6+9\\=-9+0\\=0\\\\h.-20-(-9)-(-8)\\=-20+9+8\\-20+17\\=-3\\\\[/tex]

[tex]-2+3-(-4)+(-5)\\-2+3+4-5\\= 1-1\\=0\\\\\\b. 18-(-10)+(-19)-8\\=18+10-19-8\\28-27\\=1\\\\c. 65+(-72)-(-45)\\= 65-72+45\\=-7+45\\=38[/tex]

A line segment has the endpoints T(10, 4) and U(8,4). Find the coordinates of its midpoint
M.
Write the coordinates as decimals or integers.
M =

Answers

Answer:

(9,4)

Step-by-step explanation:

Using the Midpoint theorem, we have

x=(10+8)/2=18/2=9

y=(4+4)/2=8/2=4

Translate the following phrase into an algebraic expression using the variable m. Do not simplify
the cost of renting a car for one day and driving m miles if the rate is $48 per day plus 50 cents per mile

Answers

Answer:

y = 0.5X + 48

Answer:

48 + 0.50m

Step-by-step explanation:

m, the variable, equals to the number of miles driven. Since there is a base fare of $48, that will be the constant. It is $0.50 per mile, so it's 0.50m. Substituting for m, the miles driven, will give you the final cost.

Finding x- and y- intercepts
y = 5х – 6

Answers

Answer:

Below!

Step-by-step explanation:

X intercept

y = 5x - 6

0 = 5x - 6

-5x = -6

divide both sides by -5

x = 6/5 or 1.2  

(1.2, 0)

Y intercept

y = 5x - 6

y = 5(0) - 6

y = -6

(0, -6)

Hope this helps! Best of luck <3

if A is a subset and equal to B then B'-A' is equal to​

Answers

Answer:

A-B

Step-by-step explanation:

It doesn't say A=B... But just that A is a subset of B.

Anyways, why not try an example to help reveal the answer.

Let the universe set, U, be U={1,2,3,4,5,6}.

Let B={1,2,3,4} and A={1,3,5}

First choice would become A'={2,4,6}

Second choice would become B'={5,6}

Third choice would become A-B={5}

Fourth choice is just { }

B'-A'={5}

The only choice matching is A-B

*Just so you know X-Y is the set of elements contained in X only if they are not also in Y.

Find the value of x

HELPP PLEASEE
GIVING 20 points!!!

Answers

Answer:

A 6.09

Step-by-step explanation:

Given the linear correlation coefficient r and the sample size n​, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05. r=0.767, n=25

Answers

Answer:

the critical value for r at [tex]r_{0.05, 23}[/tex] = 0.396

Step-by-step explanation:

Given that:

the linear correlation coefficient r = 0.767

the sample size n = 25

the level of significance ∝ = 0.05

The degree of freedom is expressed with the formula df = n - 2

 df = 25 - 2

 df = 23

the critical value for r at [tex]r_{0.05, 23}[/tex] = 0.396

The linear correlation coefficient r = 0.767 is not in the region between the critical values of -0.396 and +0.396. We can therefore conclude that the linear correlation coefficient is significant.


list the next three terms in the following sequence
1,2,4,7, 11, 16​

Answers

Answer:

22, 29, 37

Step-by-step explanation:

There is a pattern to find the next number in the sequence. The sequence is taking the previous number and adding the number it is in the sequence.

Notice how the first number being added is the number of the previous sum and the second number being added is always increasing by one

1+0=1

1+1=2

2+2=4

4+3=7

7+4=11

11+5=16

16+6=22

22+7=29

29+8=37

22, 29, 37

56 is less than the square of 10 ​

Answers

Let X be the positive number.

From the given condition, we get X = X^2–56

=> X^2-X-56=0

Factorizing the above equation,

=> X^2–8X+7X-56=0

X(X-8)+7(X-8)=0

(X-8)(X+7)=0

X=8 or -7

Since it is said the number is positive. Our output number will be 7

Which item is more economical?

Answers

Answer:

what are the items

Step-by-step explanation:

PLEASE HELP!!

Complete the equation.

(13)^2 (13)^-14 (13)^5 = 13 [ ]a0

Answers

Answer:

(13)^2 (13)^-14 (13)^5

=2197

Answer:

13^3

Step-by-step explanation:

-4+2+5=3

is it . that or something else ??

2. The fraction 84 by 98 in simplest form is​

Answers

Answer: 6/7

Step-by-step explanation: Since the Greatest common factor of 84 and 98 is 14, you divide both sides of 84/98 by 14 to get 6/7

Answer:6/7

Step-by-step explanation:The greatest common factor of both numerator and denominator is 14.So if you divide 84 by 14 you will get 6 and if you divide 98 by 14 you get 7.

can u explain and answer this question for me thanks

Answers

Answer:

f(x)= x-6

g(x)= x^1/2 (x+3) =√x(x+3) = x √x + 3√x

g(x) × f(x)

=(x√x + 3√x) (x-6)

= x²√x -6x√x + 3x√x - 18√x

= x²√x -3x√x - 18 √x

= x^5/2 - 3x^3/2 - 18^1/2

= √x^5 - 3√x^3 - √18 (B)

Note:

√x = x^1/2

x √x = x^1 × √x= x^1+1/2= x^3/2

x²√x= x^2 × x^1/2 = x^2+1/2 = x^ 5/2

I hope this helps

if u have question let me know in comments ^_^

Determine the number of solutions for each quadratic.

1.) 4x^2-3x+4=0

2.)9x^2-12x+4=0


PLEASE HELP!!!

Answers

Answer:

1. no solution 2. has one solution

Step-by-step explanation:

first you must find the discriminant of each quadratic also remember

if the discriminant is positive  b^{2}-4ac> 0, then the quadratic equation has two solutions.

if the discriminant is equal  b^{2}-4ac= 0, then the quadratic equation has one solution.

if the discriminant is negative  b^{2}-4ac< 0, then the quadratic equation has no solution.

1. the discriminant is [tex]\sqrt{b^2-4ac}[/tex] and when you plug in the numbers you get -55 which is less than 0

2. the discriminant is 0 so there is one solution

Answer:

1. has no real roots, no solutions (unless you can have imaginary solutions)

2. touches the x axis in one point, so one solution

Step-by-step explanation:

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