Susan said, "I have four negative (blue) counters. If I double the number of counters and then share them equally with Sam, I'll have as many as I started with." Use integers to show why this is correct.

Answers

Answer 1

Answer:

Susan initially has 4 blue counters.

If she doubles them, she will have twice that amount, or:

2*4 = 8 blue counters.

Now if she shares them equally with Sam, the total number of blue counters will be divided between the number of people in which the counters are being shared.

The counters are being shared between 2 people, then each one of them gets:

8/2 = 4 counters.

And in this way, Susan has the same number of counters that she had when she started.

Why does this happen?

Because at the start, she has an integer N and multiplies it by 2 to get 2*N

And then she divides that amount by 2

2*N/2 = N

So she is multipliying and dividing by the same number, so N does not change in the process.


Related Questions

how can oliver convert 1 red brick into 5 red bricks in six steps

Answers

Answer:
Step 1: grab the brick
Step 2: use something to cut the brick
Step 3: cut the brick horizontally 2 times
Step 4: cut the brick vertically through the middle 1 time
Step 5: get rid of 1 brick piece
Step 6: now you have 5 brick pieces

There are other methods such as cutting the brick 4 times vertically and much more but this is what I came up with

p(3,-5)t(x,y)=(x+4,y-3). p'=

Answers

Answer:

Step-by-step explanation:

(7,-8)

is the answer

Someone please help me​

Answers

Answer:

a

Step-by-step explanation:

you add the exponents together when there are parentheses

Answer:

B

Step-by-step explanation:

When raising a number to a power, to another power, you can multiply the exponents.  Think of (6^3)^2 as (6*6*6)^2.  (6*6*6)^2 is equal to (6*6*6)*(6*6*6).  This is the same as 6^6.

PLS GET ME DA ANSWER ASAP AHHHHHHHHHHH!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

You can use process of elimination. In D and A all the y numbers are staying the same. In B, the numbers are decreasing. So the only possible answer is C.

Hope this helped!! :D

What number is a factor of the prime factorization of 60?ANSWER IT CORRECT AND IF YOU DO THEN BRAINLIEST!

Answers

Answer:

3

Step-by-step explanation:

Hope that helps <33

Can someone pleaseeee help me with this image

Answers

Answer:

Step-by-step explanation:

so to solve this you have to be smart.

6yd and 5y^2

s.a=2lw+2wb

yb=86/7 = 42/855

9/6=2 and 2^2=4

therefore leaving us with 87in^2

ez stuff just think

Answer:

200 square yards

Step-by-step explanation:

Surface area for this will be the triangle base area x 2 added to the side areas

Side areas are 11 x 5, 11 x 5, and 11 x 6 = 55 + 55 + 66 = 176 square yards

Triangle area = 1/2 (base)(height)

= 1/2(6)(4)

= 1/2(24)

= 12.

But we have two triangles, so 12 x 2 = 24.

Add the sides to the bases: 24 + 176 = 200 square yards for the surface area.

Need help with school work

Answers

Answer is 9

Step by step exploration

7x+3=10x-24
27=3x
x=27/3=9

A triangle has an area of 300 square inches. The height of the triangle is 12.5 inches. What is the
base of the triangle?

A:24 inches

B:48 inches

C:12 inches

D:30 inches

Answers

answer is c




hope it helps

Answer:

C Base x Height ÷ 2. 300 ÷ 2 = 150. 150 ÷ 12 .5 is 12.

Kristen has $13.50 in quarters and dimes. She has a total of 75 coins. How many dimes does Kristen have?
A. 30 dimes
B. 45 dimes
C. 35dimes
D. 40 dimes

Answers

35 because when you divide you get that

.What decimal is being represented by the decimal grid?

Answers

It’s 2.26 (now I am going to write random stuff bc it says I need to have 20 characters ggvjffdffvhkjhv)

8 1/2 pounds cost $34 ____ per pound

Answers

Answer:

$4 per pound

Step-by-step explanation:

34/8.5(or 8 1/2) is equal to 4.


Question
Find the missing side lengths. Leave answer in simplest
radical form.

Answers

Answer:

A) y = [tex]\frac{11\sqrt{3} }{2}[/tex], x = 11

Step-by-step explanation:

We can use the 60 degree angle to help us solve this.

Remember: tan(angle) = opposite/adjacent

Using this formula, we get that

tan (60 degrees) = y / (11/2)

This is because y is the side opposite to the 60 degree angle and 11/2 is the side adjacent to the 60 degree angle.

Simplifying this expression, we get that

[tex]\sqrt{3}[/tex] = y/(11/2)

Multiplying both sides by 11/2, we get

[tex]\frac{11\sqrt{3} }{2}[/tex] = y

We can now use the pythagorean theorem to help us solve for x

Remember: a² + b² = c²

Since x is the hypotenuse, it is the c value. Therefore, we get:

(11/2)² + ([tex]\frac{11\sqrt{3} }{2}[/tex])² = x²

Simplifying this, we get

[tex]\frac{121}{4}[/tex] + [tex]\frac{121 * 3}{4}[/tex] = x²

Simplifying this some more, we get

484/4 = x²

121 = x²

Taking the square root of both sides, we get that

x = 11

I hope this helps!

Easy Question giving 80 points

Answers

Answer:

1=30

2=90

3=21

4=39

5=39

6=24

7=24

8=66

9=66

10=21

11=60

12=120

13=60

14=120

15=48

16=105

17=27

18=129

19=51

20=129

21=51

Step-by-step explanation:

please please please pleas mark me brainliest that was really hard

Answer:

The creation of Hammurabi's Code came about in response to a need for a solid code of law in the the realm of ancient Mesopotamia. It was created by the sixth Babylonian king, named Hammurabi, and put into law certain rules like "an eye for an eye, a tooth for at tooth

Step-by-step explanation:

two parallel lines are cut by a transversal as shown below

Answers

Answer:

<5 and <7= 56 degrees

Step-by-step explanation:

for <5: 180-124=56

<7 is equal to <5

Brainliest Plz?

If one point is located at (-6, 2) and another point is
located at (6, -3), what is the distance between the
two points?

Answers

Answer:

ok

(6, -3) - ( -6, 2)

3- 2 = 1

6 - ( - 6 )  = 6 = 6,1

Please help me gotta pass

Answers

Answer:

Y=59 Z=93

Explanation:

To find Z, you have to know the line is equal to 180 degrees. You then subtract 180-87=93 that’s how you get Z. Then with that you know that 34+Y is going to equal 93 because they are across from each other. I forgot what that property is called, but yeah. Then you subtract 93-34=59 there you go hope that helps :)

If the sphere shown above has a radius of 16 units, then what is the approximate volume of the sphere?​

Answers

V≈17157.28 and the radius is 16


Please help I can not find the answer

Answers

Answer: Its D. 10

Step-by-step explanation:

i will suggest u using something called photo math its a phone app it helps me lot

Estimate the line of best fit using two points on the line.
(5, 60)
(3, 44)
O A. y= 5x + 20
O B. y = -5x + 16
O C. y= -8x + 16
D. y = 8x+ 20

Answers

The estimated equation of line is y = 8x+ 20

What is linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

Two points on the line (5, 60), (3, 44)

[tex]y- y_1= \frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

[tex]y- 60 = \frac{60-44}{5-3} (x-5)[/tex]

[tex]y- 60 = \frac{16}{2} (x-5)[/tex]

[tex]y = 8 (x-5)+ 60[/tex]

[tex]y = 8x+ 20[/tex]

Hence, the estimated equation of line is y = 8x+ 20

Learn more about equation of line

brainly.com/question/2263981

#SPJ2

Which value of n makes the equation 5n+20=16 true?*

Answers

Answer:-0.8

Step-by-step explanation:

Answer:

fraction answer -4/5 decimal answer -0.8

Step-by-step explanation:

Step 1: Subtract 20 from both sides

Step 2: divide 5 from both sides

Step 3: check the work

5(-0.8)+20=16

5(-0.8)=-4

-4+20 = 16

Hope this helps :D

Find the length of the third side. If necessary, write in simplest radical form.

Answers

Answer:

10

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

9^2 + (sqrt(19))^2=c^2

81+19 = c^2

100 = c^2

Take the square root of each side

sqrt(100) = sqrt(c^2)

10 = c

The hypotenuse is 10

Solve for x.
40 = 8(x - 10)

Answers

Answer:

x = 15

Step-by-step explanation:

hope this helps, have a great day/night!!

Answer:

15

Step-by-step explanation:

40=8(x - 10)

Distributive property

40 = 8x - 80

Add 80 on both side

120 = 8x

Divide both sides by 8

120/8 = 15

x = 15

hi can someone answer this question?

Answers

Answer:

294 yards squared

Step-by-step explanation:

7*7*6= 294

Answer:

294

Step-by-step explanation:

[tex]SA = s^2 * 6 = 7^2 * 6 = 49 * 6 = 294[/tex]

The points N, O, P and Q all lie on the same line segment, in that order, such
that the ratio of NO: OP: PQ is equal to 5: 2 : 1. If NQ = 24, find NO.

Answers

Answer:

NO= 15

Step-by-step explanation:

let 5x, 2x and x be the ratio.

5x + 2x + x = 24

8x = 24

x= 24/8 = 3

Now,

NO= 5x = 5×3 = 15

Find the volume (and show work)

Answers

The volume of a rectangle is
L x W x H = v
9 x 7 x 5 = 315 inches squared

find the diameter of the object (6cm)

Answers

Answer:

12 cm

Step-by-step explanation:

6×2=12

Please someone help ASAP what is the correct answer ?

Answers

Answer:

It is x2 -4  because it correct

Which of the expressions below are equivalent? 8x - 4 4x 4(2x - 1)

Answers

8x-4 and 4(2x-1)




4(2x-1) the four needs to be distributed in the parentheses.

4*2x=8x
4*(-1)=(-4)

8x-4=8x-4

i need helpp :D cuz if i dont get all my missing bellringers in i wont get to go to a concerttttt

Answers

Answer:

b and e

Step-by-step explanation:

answers are b, and e. A is incorrect since 30 percent isn't very high, way less than half. c is incorrect since it says 30 if it said 60 then it would correspond with the table. D is incorrect since this is this year, it fluctuates between years so there is no guarantee that the same amount of kids will want to take music. ur welcome...

please help!!!!!!!!!

Answers

Answer:

that would be 1

Step-by-step explanation:

in this equation x=74 and 74/74 equals one

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