A local reader's club has a set of 12 hardback books, a set of 18 paperbacks, and a set of 36 magazines. each set can be divided equally among the club members. what is the greatest possible number of club members?

Answers

Answer 1

The greatest possible number of club members is the greatest common factor of 12, 18, 36 since all of these quantities of books have to be distributed evenly: 



The factors of 12 are 1, 2, 3, 4, 6, 12 
The factors of 18 are 1, 2, 3, 6, 9, 18 
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.



The greatest common factor for this three numbers is 6.
As a result, the greatest possible number of club members is 6.


Related Questions

5x+4x2(2x+7)-6x2-9x+(x+3)(x-8)
Write this expression as a polynomial in standard form

Answers

5x + 4x^2(2x+7) - 6x^2 - 9x + (x+3)(x-8)
5x + 8x^3 + 21x^2 - 6x^2 - 9x + x^2 - 5x - 24
8x^3 + 16x^2- 9x - 24
First you must simply distribute where needed, we will start with distributing the 4x^2 to (2x+7) and using FOIL (First Outer Inner Last) for (x+3)(x-8)

5x+8x^3+28x^2-6x^2-9x+x^2-8x+3x-24

Next group like terms ( the x's with the x's, the x^2 with the x^2, and so on)

8x^3+23x^2-9x-24 is your answer

An equilateral triangle has a perimeter of 3x+9. what is the length of each side of the triangle

Answers

The answer is:  " x + 3 " .
___________________________________
Explanation:
___________________________________
[tex] \frac{3x+9}{3} [/tex] ;

= [tex] \frac{3x}{3}[/tex] + [tex] \frac{9}{3}[/tex] ;
 
=    x + 3 .
___________________________________
Note:  An equilateral triangle has 3 SIDES THAT ARE EQUAL IN LENGTH.
___________________________________
The perimeter is the sum of the total length of all three (3) sides.  So, to find the length of each side {Note: Each side has an equal length}; we divide the given perimeter, by "3"}.

___________________
The answer is:  " x + 3 " .
______________________
To check our answer:

3(x+3) =? 3x + 9 ??

Using the distributive property of multiplication:
_____________________________________
(3*x) + (3*3) =? 3x + 9?

  3x + 9 =? 3x + 9 ?  Yes!
_____________________________________
                                                              

The volumes of the two solids are equal, and the cross sections shown are taken at the same height above the bases. Find the missing length of the cross section of the rectangular pyramid. Round your answer to the nearest hundredth.

A. 1.59m
B. 1.62m
C. 1.67m
D. 1.76m

Answers


[tex]area(tri) = (1 \div 2)(base)(height) \\ a(t) = bh \div 2 \\ area(rect) = (length)(width) \\ a(r) = lw[/tex]
Since the triangle is right, and has sides of 4 & 5, then it is a 3-4-5 special right triangle. Now the height can be the side that's 3, and the base 4, since by definition the height us 90° from the base.
[tex]a(t) = bh \div 2 = 3m \times 4m \div 2 \\ = 12 {m}^{2} \div 2 = 6 {m}^{2} [/tex]
Now we know that the a(r) also = 6, because of the congruency of the two shapes, with equal volumes, at the same height. So now let's find our length (l):
[tex]a(r) = lw \: > > 6 {m}^{2} = l(3.6m) \\ l = 6 {m}^{2} \div 3.6m = 1.666m \\ = 1.67m[/tex]

Factor this polynomial expression. x2 – 18x + 81

Answers

( x - 9) (x - 9)

is your answer

hope this helps

Factorizing the polynomial expression x² - 18x + 81 = (x - 9)²

What is factorization?

Factorization is the simplification of an expression into a smaller expression using its factors.

To factor this polynomial expression. x² - 18x + 81, we proceed as follows

Since we have the polynomial expression x² - 18x + 81, we multiply x² by 81 to get x² × 81 = 81x².

Now, we look for the factors of 81x² such that the sum of those factors equal - 18x

So, we have that 81x² = -9x × (-9x)

So, -18x = -9x - 9x

So, replacing this with -18x, we have that

x² - 18x + 81 = x² - 9x - 9x + 81

Now, factorizing, we have that

x² - 9x - 9x + 81 =  x(x - 9) - 9(x - 9)

= (x - 9)(x - 9)

= (x - 9)²

So, factorizing x² - 18x + 81 = (x - 9)².

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  Mohave Community College reimburses faculty members $.298 cents per mile to go to a workshop. Professor Boes submitted her travel log for a total of 650.11 miles. What reimbursement can Professor Boes expect? (Round to the nearest cent.)     

Answers

In this example, one must multiply the total of miles by the rate of reimbursement; therefore, 650.11 (miles) multiplied by .298 (cents). The answer is $193.73

what times 8 equals 36

Answers

The result of dividing 36 by 8 is 4.5. This means that there is no whole number that when multiplied by 8 equals 36; the closest is 4, giving us 32, with a remainder that results in 4.5 as the exact quotient.

The question the student is asking relates to basic arithmetic multiplication. Specifically, they're looking for a number that, when multiplied by 8, results in 36. To solve for this, we would generally divide 36 by 8.

However, because 36 is not a multiple of 8, we cannot get a whole number as the result. Instead, the closest we can get without going over is 4, because 4 multiplied by 8 equals 32. If we divide 36 by 8, the result is 4 with a remainder, or 4.5 (which can be expressed as 41/2).

The correct approach to find the quotient is to perform the division 36 / 8, which equals 4.5. To understand this better, you can think of it as having 36 objects that you want to divide into groups of 8 and trying to see how many full groups you can make. You would be able to make 4 full groups with 4 objects left over, or you could see it as making 4 and a half groups.

Triangle ABC is similar to triangle PQR, as shown below:


Which ratio is equal to r:c?

A. c:p

B. p:a

C. r:a

D. q:c


Answers

rotate the triangles so r and c line up

 when you do that Q=B, a=p, C=R, b=q, A=P


 so answer would be B. p:a

we know that

If triangle ABC is similar to triangle PQR

then

the corresponding sides are proportional

so

[tex]\frac{RQ}{CB} =\frac{RP}{AC}= \frac{PQ}{AB}[/tex]

substitute the values

[tex]\frac{p}{a} =\frac{q}{b}= \frac{r}{c}[/tex]

therefore

[tex]\frac{r}{c}[/tex]

is equal to

[tex]\frac{q}{b}[/tex] and [tex]\frac{p}{a}[/tex]

the answer is the option B

[tex]\frac{p}{a}[/tex]


If y = 15 when X=12 find Y when X=32

Answers

Y should equal 40 if you set it up in a proportion.
Final answer:

By acknowledging the linear relationship between X and Y, we set up a proportion based on the given values and solve for Y when X = 32, finding Y approximately equals 40.

Explanation:

This problem relates to the concept of

linear relationships

in mathematics. By understanding the relationship between two variables x and y, you can find the value of one by knowing the value of the other. Here, if y = 15 when X = 12, we can say that the ratio of y to x is constant. Therefore to find the value of Y when X = 32, we will maintain the same ratio. Now, set up a proportion 15/12 = Y/32 and solve for Y. Cross-multiplication gives us: Y = 15 * 32 / 12. After calculating this, Y equals approximately 40. Therefore, the value of Y when X is 32 will be around 40, keeping the relationship linear.

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Write a function rule (equation) that represents each table.

Answers

y=-11x+43. Slope is negative 11 and y-intercept is 43.

If you travel 156 miles on 4 gallons of gasoline how far can you travel on 12 gallons how many miles on 6 gallons

Answers

6 gallons should be 234 miles and 12 should be 468

You can travel a distance of 468 miles on 12 gallons of gasoline and a distance of 234 miles on 6 gallons of gasoline.

What is Proportion?

Proportion is the setting of two or more ratios to be equal.

That is, if there is a ratio between a and b and another ratio between c and d, then we can say that,

a : b = c : d ⇒ a/b = c/d ⇒ a d = b c

We have,

Distance travelled is 156 miles on 4 gallons of gasoline.

We have to find the distance travelled on 12 gallons and 6 gallons of gasoline.

Let x be the distance travelled on 12 gallons of gasoline and y be the distance travelled on 6 gallons of  gasoline.

We have a proportional relation here,

156 : 4 = x : 12 = y : 6

First taking the relation,

156 : 4 = x : 12

⇒ 156/4 = x/12

⇒ 39 = x/12

⇒ x = 39 × 12

⇒ x = 468

Taking the second relation,

156 : 4 = y : 6

⇒ 156/4 = y/6

⇒ 39 = y/6

⇒ y = 39 × 6

⇒ y = 234

Hence you can travel 468 miles on 12 gallons and 234 miles on 6 gallons.

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n is the set of real number that are factors of 36

Answers

I have the same question so confused

A clothing store owner tracks the amount of money the last 10 customers spend in her store. The owner concludes that the typical amount spent by any customer is $28.80. The owner's conclusion

A) is valid. The last 10 customers only bought sale items.
B) is correct. This is the average amount spent by any customer.
C) is invalid. This is not a good representation of all customers.
D) is unfair. The last ten people in the store may have been tired.

Answers

i believe it would be c 
C) is invalid. This is not a good representation of all customers.

the first side of a triangle is 3 m shorter than the second side. the third side is 4 times as long as the first side . the perimeter is 27 m. find the length of each side

Answers

3, 6 and 18 I believe. 

Factor 9y 2 - 12y + 4.

Answers

The question is [tex] 9y^{2} [/tex] -12y +4, right?

The answer is (3y-2)(3y-2) or [tex] (3y-2)^{2} [/tex]

Answer:

Factors of the expression given in the question i.e 9y² - 12y + 4 is (3y -2)(3y -2) .

Step-by-step explanation:

As the expression is given in the question be .

= 9y² - 12y + 4

Simplify the above

= 9y² -6y -6y + 4

= 3y (3y -2) -2 (3y - 2)

= (3y-2)(3y-2)

Therefore factors of the expression given in the question i.e 9y² - 12y + 4 is (3y -2)(3y -2) .

What percent of 67.5 is 7.02 ? Answer in proportions

Answers

what percent of 67.5 is 7.02

percent formula : is / of = % / 100
of = 67.5
is = 7.02
% = x

set it up
7.02 / 67.5 = x / 100
cross multiply
(67.5)(x) = (7.02)(100)
67.5x = 702
x = 702 / 67.5
x = 10.4

so ur answer is 10.4%

The percent of 67.5 is equal to 7.02 is for the number 10.4.

To find what percent of 67.5 is 7.02, we can use proportions.

Let's represent the unknown percentage as 'x'. The proportion can be set up as follows:

(7.02 / 67.5) = (x / 100)

Now, solve for 'x':

7.02 × 100 = 67.5 × x

702 = 67.5x

x = 702 / 67.5

x ≈ 10.4

Therefore, 7.02 is approximately 10.4 percent of 67.5.

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Denis and Dasha solve this problem in two different ways. The perimeter of a rectangle is 54 centimeters. Its length is 6 centimeters. What is its width? Use the drop-down menus to complete the sentences below.

Answers

Final answer:

To find the width of a rectangle with a perimeter of 54 cm and a length of 6 cm, use the formula P = 2l + 2w. After plugging in the given values and simplifying, the width is calculated to be 21 cm.

Explanation:

Finding the Width of a Rectangle

To solve this problem, we remember that the perimeter of a rectangle is calculated by the formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Given the perimeter is 54 centimeters and the length is 6 centimeters, we can set up the equation as follows: 54 = 2(6) + 2w. Simplifying this, we get 54 = 12 + 2w, and then subtracting 12 from both sides gives us 42 = 2w. Dividing both sides by 2, we find the width w to be 21 centimeters.

Step-by-Step Calculation

Start with the formula for the perimeter of a rectangle: P = 2l + 2w.Substitute the given values into the formula: 54 = 2(6) + 2w.Simplify the equation: 54 = 12 + 2w.Isolate the width term: 42 = 2w.Divide both sides by 2 to solve for the width: w = 21.

Therefore, the width of the rectangle is 21 centimeters.

What would be an appropriate measure to describe the amount of water in a puddle?

milliliters
feet
tons
miles

Answers

Milliliters is the only form of liquidmeasurementt of those choices so it has to be that one.

Answer:

milliliters

Step-by-step explanation:

HELP!

Solve for x.

−1/3x≤−6



Enter the solution to the inequality in the box.

Answers

Multiplying both sides of    −1/3x≤−6    by -3 results in "x is equal to or greater than 18."
 
Note that multiplying such an inequality requires reversing the direction of the inequality symbol.

I subst. 18 for x in   −1/3x≤−6    as a check, and found that  the resulting inequality is true.

Answer:

x [tex]\geq[/tex] 18

Step-by-step explanation:


Tori computers the value of 8 • 95 in her head by thinking 8(100 - 5)= 8•100 - 8•5 which number property is she using ?

Answers

Distributive property. Although I may not be completely correct.

*PLEASE HELP* *BRAINLIEST*
The Smiths want to buy a 9 ft. by 12 ft. carpet and center it in a 15 ft. by 20 ft. room.

What is the area of the area NOT covered by the carpet?

Answers

My guy, the answer would be 192 ft^2 hope this helps, plz give brainliest.

Answer:  The required area of the room that is NOT covered by the carpet is 192 ft².

Step-by-step explanation:  Given that the Smith wants to buy a 9 ft. by 12 ft. carpet and center it in a 15 ft. by 20 ft. room.

We are to find the area of the room that is NOT covered by the carpet.

We know that the area of a rectangle is given by the product of its length and breadth.

So, the area of the carpet bought by Smith is

[tex]A_c=9\times12=108~\textup{ft}^2,[/tex]

and the are of the room is

[tex]A_r=15\times 20=300~\textup{ft}^2.[/tex]

Therefore, area of the room that is NOT covered by the carpet will be

[tex]A=A_r-A_c=300-108=192~\textup{ft}^2.[/tex]

Thus, the required area of the room that is NOT covered by the carpet is 192 ft².

For a right triangle with an altitude of 12 and a base of 16, find the length of the hypotenuse.

Answers

a^2+b^2+c^2
A=12. B=16. C=?
11^2+16^2=C^2
121+256=C^2
377=c^2
The square root of 377 is bout 19 rounded or it's 19.41 but didn't think you wanted decimals
Hope this helps and is what u r looking for have a nice day

Three zeroes of a fifth degree polynomial function are 1/3, 4-6i and -2 +11i. Determine the remaining zeroes of the function.

Answers

the answer is A
fifth degree means there are 5 zeros, real or unreal

Answer:

Answer is option A

Step-by-step explanation:

Given that  there is a fifth degree polynomial. The three zeroes are given as

1/3, 4-6i, -2+11i

Since the polynomial having real coefficients will have imaginary roots occurring in conjugates only we can say that the imaginary roots will have conjugates also as zeroes of the polynomial.

We have one real root 1/3.

The imaginary roots are 4-6i and -2+11i

Hence these conjugates will be zeroes

i.e. [tex]4-6i, -2-11i[/tex] are the other zeroes

Option A is right.

Given: ∆ABC, AB = CB
BD − altitude to AC
P ∈ BD, PB = PC
m∠ABC = 48°
Find: m∠PCD

Answers

Answer: The measure of angle PCD is 42 degree.

Explanation:

It is given that in ∆ABC,

AB = CB  

BD − altitude to AC

P ∈ BD, PB = PC

∠ABC = 48°

Since the AB and CB are equal therefore by property of isosceles triangle the angle BAC and angel BCA are equal.

According to the angle sum property the the sum of interior angles of a triangle is 180.

[tex]\angle ABC+\angle BAC+\angle BCA=180^{\circ}[/tex]

[tex]48^{\circ}+2\angle BAC=180^{\circ}[/tex]

[tex]\angle BAC=66^{\circ}[/tex]

The altitude BD on AC divides the angle b in two equal parts because triangle ABC is an isosceles triangle.

[tex]\angle PBC=\frac{48}{2}=24^{\circ}[/tex]

Since PB=PC , so triangle BPC is an isosceles triangle.

[tex]\angle PBC=\angle PCB=24^{\circ}[/tex]

From the figure it is noticed that,

[tex]\angle PCD+\angle PCB=\angle BCA[/tex]

[tex]\angle PCD+24^{\circ}=66^{\circ}[/tex]

[tex]\angle PCD=66^{\circ}-24^{\circ}[/tex]

[tex]\angle PCD=42^{\circ}[/tex]

Therefore, the measure of angle PCD is 42 degree.

Introduction to addition or subtraction of fractions with different denominator 3/4-1/8

Answers

The denominator must be the same, so just think of the LEAST COMMON MULTIPLE, The LCM here is 8, because you can multiply 4 by 2 to get 8.
so when you multiply, you multiply both on the top and on the bottom, so this would be:
3 x 2 / 4 x 2 = 6 / 8
Now you can add or subtract: 6/8 - 1/8 = 5/8

Which number is not in scientific notation?
a. 1.1 x 10^213
b. 7.8 x 10^8
c. 3.02 x 10^-10
d. 35 x 10^4

Answers

answer

d. 35 x 10^4  is not in scientific notation

Which statement describes similar figures?
two figures that are the same size
two figures that are the same size but a different shape
two figures that are the same shape but different sizes
none of the above

Answers

https://brainly.com/question/6591769 helpppppppppp
two figures that are the same shape but different sizes 

Maria was given a 5% raise on her weekly salary of $375.

Select from the drop-down menu to correctly complete the sentence.

A. 0.005(400)
B. 0.05(400)
C. 0.5(400)
D. 5(400)
Please explain your answer so I can understand it Thanks!

Answers

B.) - 0.05(400). 5% = 5/100 =0.05. First to know how much extra is added to her weekly salary, $375 is multiplied by 0.05 (5%). So, 375 Ă— 0.05= 18.75. Next is to add the $18.75 to the $375 ($375+$18.75=$ 393.75). And rounding up the money to the nearest 100 will give you $400 (If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Since 3 is followed by 9, 3 is rounded up to 4).
here add the other guy as brainliest :)

At the annual dogs show chantel noticed that there were three more Scottie’s than schnauzers. She also realized that the number of wire haired terriers was five less than twice the number of schnauzers if there were 78 dogs in all how many schnauzers were their?

Answers

Let us start with the schnauzers, the easiest one to imagine. Let us assume that there were x number of schnauzers. Scottie's are 3 more than schnauzers. So their number is x+3 Wire haired terriers are 5 less than twice the number of schnauzers. So their number is 2x -5 (2x for twice the number of schnauzers) Now add all these numbers. That is x + x+3 + 2x-5 = 4x -2 The total number of dogs, 78, is given in the question Now we know that 4x -2 =78 4x = 78 +2 = 80 Therefore x = 80/4 = 20. So there were 20 schnauzers, 23 Scottie’s and 35 wire haired terriers

Use the Pythagorean Theorem to find the missing measure when a = 24 and b = 7.

Answers

Since we know that the Pythagorean thereom formula is a^2+b^2=c^2
To start, we know the a and b values which are 24 and 7. As according to the formula, we square them which gives us 576+49=c^2
Then we simplify: 625=c^2
And solve for c= 25 (c represents the missing length)

A scatterplot is produced to compare the size of a lake to the number of fish that are in it. There are 15 data points, each representing a different lake. The points are widely dispersed on the scatterplot with no pattern of grouping. Interpret what the results of the scatterplot tell you about the relationship between the two variables.

Answers

There is no direct relationship between the size of a lake and number of fish in it. There are other factors than size which determine how many fish may be present in the lake.

Answer:Since there is no cluster formed in the scatterplot, the two variables are not related. Therefore, based on the data shown in the scatterplot, the number of fish in a lake is not dependent on the size of the lake.

Step-by-step explanation:

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