In preparation for a conference, Derek is setting up some stations where people can create their own name tags. He has 10 name tags and 18 pens, which he wants to distribute evenly among the name tag stations with none left over. What is the greatest number of name tag stations that Derek can set up?

Answers

Answer 1

Answer:

2

Step-by-step explanation:

Given that:

Number of name tags = 10

Number of pens = 18

to distribute evenly among the name tag stations with none left over ; we need to obtain the greatest common factors of both 10 and 18 to know the number of stations Derek can set up ;

Factors of :

10 : 1, 2, 5, 10

18 : 1, 2, 3, 6, 9, 18

The greatest common factor is 2.

Hence, Derek can setup 2 stations.


Related Questions

Which table represents a linear function?

Answers

Answer: table C or 3

Step-by-step explanation:

If you graph it on paper then it creates a straight line, where the others do not.

Describe how you would draw or construct a kite in geometric terms.

Answers

Step-by-step explanation:

following properties have been used in constructing the kite

1. diagonals at right angles

2. one of the diagonals bisect

3. pairs of consecutive sides are equal

What operation is this that’s all

Answers

Answer:

Word problem is the operation

Please help I will give brainliest

Answers

Answer:

30ft

Step-by-step explanation:

i think by common sense as an high schooler

8 times 5 equals 40ft and 6 times 5 equals 30 ft

I’m pretty sure it’s 38

The measure of a right angle plus the measure of a right angle equals the measure of a blank angle​

Answers

Answer: A straight angle

Step-by-step explanation:

90 + 90 = 180

An mp3 player is on sale for 30% off the regular price of $39. 98. How much is the discount? a. $11. 99 b. $13. 19 c. $13. 33 d. $27. 99 Please select the best answer from the choices provided A B C D.

Answers

The cost of the mp3 player after the discount is $27.98.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by whole and multiply by 100.

Given

An mp3 player is on sale for 30% off the regular price of $39. 98.

The price of the mp3 player after the 30% is given

[tex]\rm Cost \ of \ player \ after \ discount = Cost \ of \ player \times discount\\\\\rm Cost \ of \ player \ after \ discount = 39.98\times 0.30\\\\\rm Cost \ of \ player \ after \ discount = 11.99[/tex]

The cost of mp3 player after 30% discount is;

= $39.98 - $11.99 = $27.98

Hence, the cost of the mp3 player after the discount is $27.98.

To know more about percentage click the link givem below.

https://brainly.com/question/9776399

3 = 0.2m - 7

i need to show my work pls hurry!

Answers

[tex]3 = 0.2m - 7[/tex]

[tex]3 + 7 = 0.2m[/tex]

[tex]10 = 0.2m[/tex]

[tex] \frac{10}{0.2} = m[/tex]

plug it on your calculator or multiply 10 by 5

[tex]m = 50[/tex]

Name the property shown by the statement a + b + 0 = 0 + a + b.

Answers

Answer:

COMMUTATIVE PROPERTY OF ADDITION

Step-by-step explanation:

which equation or function is linear?
A. 3xy=4
B. f(x)=2/3(1-x^2)
C. 2y=(2x-1)/4
D. y=3/x+1

Answers

9514 1404 393

Answer:

  C.  2y = (2x-1)/4

Step-by-step explanation:

An equation is linear when the exponents of the variables are 1 and the sum of the exponents of the variables in any term is 1.

a) 3xy = 4 . . . . sum of exponents is 1+1=2

b) f(x) = 2/3(1 -x^2) . . . . exponent is 2

c) 2y = (2x -1)/4 . . . . all exponents are 1 (linear)

d) y = 3/(x+1)  ⇒  xy +y = 3 . . . . sum of exponents is 1+1 = 2

Write an equation in slope-intercept form of the line.

Answers

Answer: mx+b=y

Step-by-step explanation:

Rise over run

Which inequality is represented by the graph?

Answers

I believe the answer is y<-3/2x+1

Which of the following functions is graphed below?
A. y=|x-2|-3
B. y=|x+2|-3
C. y=|x-2|+3
D. y=|x+2|+3

Answers

Answer: y=|x-2|+3

Step-by-step explanation:

An isosceles triangle has a perimeter of 28cm and sides of integer length.
How many different such triangles can be made?

Answers

Answer:

over 18716271717161626cm

To solve this question, we have to:

Understand the concept of an isosceles triangle.Understand the perimeter concept.Understand the constraint needed to represent a triangle.

Doing this, we get that: 6 different such triangles can be made.

Isosceles triangle:

In an isosceles triangle, two sides have the same measure. An example is given by the picture at the end of this answer.

Perimeter:  

The perimeter of a polygon, in this case a triangle, is the sum of all it's sides.

Constraint:

The sum of the lengths of the two smaller sides of a triangle has to be greater than the length of the greater side.

This triangle:

Perimeter of 28.Two sides of x.One side y

Thus, the perimeter is:

[tex]P = 2x + y = 28[/tex]

Now, for the values of x, we find if the values of y generate a triangle, respecting the constraint.

x = 1

[tex]2 + y = 28 \rigtharrow y = 26[/tex]

1 + 1 < 26, thus, the constraint is not respected.

x = 2

[tex]4 + y = 28 \rightarrow y = 24[/tex]

2 + 2 < 24, thus, the constraint is not respected.

x = 3

[tex]6 + y = 28 \rightarrow y = 22[/tex]

3 + 3 < 22, thus, the constraint is not respected.

x = 4

[tex]8 + y = 28 \rightarrow y = 20[/tex]

4 + 4 < 20, thus, the constraint is not respected.

x = 5

[tex]10 + y = 28 \rightarrow y = 18[/tex]

5 + 5 < 18, thus, the constraint is not respected.

x = 6

[tex]12 + y = 28 \rightarrow y = 16[/tex]

6 + 6 < 16, thus, the constraint is not respected.

x = 7

[tex]14 + y = 28 \rightarrow y = 14[/tex]

7 + 7 = 14, thus, the constraint is not respected.

x = 8

[tex]16 + y = 28 \rightarrow y = 12[/tex]

8 + 8 > 12, thus, the constraint is respected, and this is the first possible triangle.

x = 9

[tex]18 + y = 28 \rightarrow y = 10[/tex]

9 + 9 > 10, thus, the constraint is respected, and this is the second possible triangle.

x = 10

[tex]20 + y = 28 \rightarrow y = 8[/tex]

8 + 10 > 10, the constraint is respected, and this is the third possible triangle.

x = 11

[tex]22 + y = 28 \rightarrow y = 6[/tex]

11 + 6 > 11, the constraint is respected, and this is the fourth possible triangle.

x = 12

[tex]24 + y = 28 \rightarrow y = 4[/tex]

4 + 12 > 12, the constraint is respected, and this is the fifth possible triangle.

x = 13

[tex]26 + y = 28 \rightarrow y = 2[/tex]

13 + 2 > 13, the constraint is respected, and this is the sixth possible triangle.

x = 14

[tex]28 + y = 28 \rightarrow y = 0[/tex]

Cannot have a triangle with a side of 0, so this is not possible.

After the tests, we have that 6 different such triangles can be made.

A similar question is given at https://brainly.com/question/6139098

Expand it
(1/2x + 7)2

Answers

Answer: If this is 2 multiplying the bracket

x+14

If the bracket is raised to the power of 2

1/4x+7x+49

Step-by-step explanation:

(1/2x +7)2

((1/2x*2)+(7*2))

x+14.

(1/2x+7)(1/2x+7)

1/2x(1/2x+7)+7(1/2x+7)

1/4x+7/2x+7/2x+49

What is the slope of the line whose equation is 12=4x-6y?

Answers

Answer:

4x-6y-12=0 than it passes through the origin so.distance equals /ax+by+c/all over a^2+ b^2= 4(0)+6(0)-12/4^2+6^2= -12/16+36=12/52=0.23077

The length of a rectangular table is represented by the function L(x) = 4x. The width of the table is represented by the function W(x) = 3x2 − 5x + 6. What is the area of the table in terms of x? (1 point)
(L • W)(x) = 7x3 − x2 + 10x
(L • W)(x) = 12x2 − 20x + 24
(L • W)(x) = 12x3 + 20x2 + 24x
(L • W)(x) = 12x3 − 20x2 + 24x

Answers

Answer:

(L • W)(x) = 12x^3 − 20x^2 + 24x (the last option)

Step-by-step explanation:

It's very simple actually. To find an area of a rectangle, all we have to do is multiply its two sides. We are given the length and the width of the rectangle - its sides. All we have to do is simply multiply them:
Area = L(x) * W(x)
L(x) = 4x
W(x) = 3x^2 - 5x + 6
Therefore the area is equal to:
(4x) * (3x^2 - 5x + 6) =
= 4x * 3x^2 - 4x * 5x + 6 * 4x =
= 12x^3 - 20x^2 + 24x
And there's your answer, option D, or 4 or whatever you call the last one.

It took Carrie five less minutes than twice the amount of time as Hua to complete her homework. It took Hua thirty-five minutes to complete her homework. Write a numerical expression to describe the amount of time it took Carrie to complete her homework.

Answers

Given that,

Time taken by Hua to complete her homework is 35 minutes

ATQ,

The time taken by Carrie is five less minutes than twice the amount of time as Hua to complete her homework. Let it is x minutes.

The numerical expression for this is given by :

x = 2(times taken by Hua)-5

x = 2(35)-2

Above is the numerical expression for time taken by Carrie.

We can also solve it, x = 70-2 = 68 minutes

Hence, this is the required solution.

Which of the following items would be considered an asset? Select all that apply.

gaming system
stereo equipment
camera
computer
cell phone

Answers

The camera, computer, and cellphone are considered assets.

write 5/10 in three equivialent forms.

Answers

Answer:

10/20

40/80

80/160

Step-by-step explanation:

5/10 x 2 = 10/20

5/10 x 8 = 40/80

5/10 x 16 = 80/160

Hope this helps!!

Have an amazing day!!

Please rate and mark brainliest!!

If you are good at Math please HELP!! Brainliest!!

A conjecture and the paragraph proof used to prove the conjecture are shown.

GIVEN: ABCD is a parallelogram
DC bisects ∠BDE
PROVE: ∠1 ≅ ∠3

Drag an expression or phrase to each box to complete the proof.

Answers

Answer:

Please see below :)

Step-by-step explanation:

Angle 2 is congruent to angle 3 by definition of angle bisector.

Angle 1 is congruent to angle 3 by the transitive property of congruence.

Please let me know if something's wrong!

The missing values are:

<2 = 1/2 ∠BDE by Angle Bisector Theorem.

<3 = 1/2 ∠BDE by the transitive property

It is given that ABCD is a parallelogram, so AB || DC by the definition of parallelogram.

So, <1 and <2 are corresponding angles.

Therefore, <1 ≅ <2 by the Corresponding Angles Theorem.

It is also given that DC bisects ∠BDE,

So <2 is half the measure of ∠BDE by the Angle Bisector Theorem. Therefore, <2 = 1/2 ∠BDE.

Therefore, <3 is also half the measure of ∠BDE by the Transitive Property. Thus, <3 = 1/2 ∠BDE.

Therefore, <1 ≅ <3 by the transitive property of congruence.

Learn more about Angle Bisector here:

https://brainly.com/question/28565813

#SPJ7

A recylcying center was offering cash for different types of recylcables. For each pound of copper they paid $1.48. For each pound of aluminum they paid $1.55. And for each pound of plasic they paid $0.30. Jesse took in 50 pounds of copper, 15 pounds of aluminum, and 10 pounds of plastic. How mush money was he paid for his recyclables?

Answers

Answer:

$100.25

Step-by-step explanation:

To figure this out we can write a really simple equation! to start we're going to identify our variables: in this case we'll make [tex]T[/tex] for total, [tex]c[/tex] for the amount of copper, [tex]a[/tex] for the amount of aluminum, and [tex]p[/tex] for the amount of plastic. We can then create this equation to represent the sum of the amount of material times the value. This equation will look like this: [tex]T=1.48c+1.55a +.30p[/tex]

Now that we have an equation written out, we can plug in the amount of each material to get [tex]T=1.48(50)+1.55(15)+.30(10)[/tex]. We can then simplify this by following PEDMAS and multiplying to get [tex]T=74+23.25+3[/tex] and then all we have left is to add to get [tex]T=100.25[/tex]

can you guys give me the correct answers to this

Answers

Answer:

ok so we know that all lights are either red, yellow or blue so first lets add up the red and yellow

26+37=63

ok so that means that 63 out of the 95 are red or yellow now lets see whats left for blue

95-63=32

32 blue

Hope This Helps!!!

Answer:

32

Step-by-step explanation:

95-26-37=32

use subtraction

HOW DO I SOLVE THIS HELP

Answers

Answer:

[tex]x=2\sqrt5[/tex]

Step-by-step explanation:

I'm assuming that 15 is the length of only part of the hypotenuse of the larger triangle.

The remaining part can be easily found by noticing that the red triangle is half an equilateral triangle of side x, so the missing part is x/2.

Now for a known theorem (easily proved with the fact that triangles AHC and ABC are similar) you can write the following equation containing x:

[tex]x^2 = \frac x2 ( \frac x2 +15) \rightarrowx^2 = \frac {x^2}4+15 \\\\3x^2=60 \rightarrow x^2 = 20 \\x=2\sqrt5[/tex]

(where we obviously took only the positive root since x is a lengtth measure.

Josie is playing a computer game where
she earns 5 points Bach time She answer
a Question correctly. She lose 0.5 point
when she answers a question incorrectly.
Josie had a score of 8 points before she-
answered 9 questions in a row incorrectly. What is Josie's score now?
A. 2.5 points
B.3.5 points
C.12 points
D.53 points

Explain answer

Answers

Answer:

b

Step-by-step explanation:

because u will subtract 0.5 from 8 nine times

8-0.5= 7.5

7.5-0.5=7.0

7.0-0.5= 6.5

6.5-0.5=6.0

6.0-0.5=5.5

5.5-0.5=5.0

5.0-0.5=4.5

4.5-0.5=4.0

4.0-0.5=3.5

HELP PLEASE! 40 POINTS AND WILL MARK BRAINLIEST.

A gym charges $100 as the membership fee and $20 monthly fee. Use the explicit rule f(n)=20n+100 to construct and graph the sequence.

Answers

Answer:

Step-by-step explanation:

Answer:

the answers in the photo

Step-by-step explanation:

If you deposit $4500 into an account that pays 5% annual interest compounded quarterly, how money wil you have after 10 years?

Answers

Answer:

Step-by-step explanation:

hope this help

Oi do this for meh ples <3 :In 92, the base is what value?

2
9
18
81

Answers

Answer:

i think its 9 but im not sure. please dont take my word for it

Regular hours worked = 40; Overtime hours worked = 8; Regular rate of pay = $8.25 per hour*
O $330.00
O $99.00
O $429.00
O $276.00​

Answers

Answer:

$396

Step-by-step explanation:

Rate of pay per hour = $8.25
Regular hours worked = 48
Overtime hours worked = 8
Total hours worked = 40 + 8
                                 = 48

∴ Money earned in a day = 48 × $8.25
                                          = $396

Hope this helps!

I need quick help with the second question pls I'll brainlist ​

Answers

Answer:

i think the answer is 2

Step-by-step explanation:

because it depends on how many brushes u buy so x is how many brushes u buy. and theres the cost

Find the values of C and D​

Answers

First you can find D since the rest of the 180° on the bottom has 132° already, so 180–132=48. So, 48–12=4d
36=4d
9=d
So, you have 42° (on the opposite side), 62°, and 48°c making up 155. So, 180–155=25. And to find c, add 15.
25+15=40
40÷20=2
So, c=2

c=2
d=9
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