There are 15 different pieces of cheese on the plate. Is it possible by dividing only one piece to divide all into two groups with equal weight and equal amount of pieces in each?

Answers

Answer 1

Answer:

It is possible.

Step-by-step explanation:

Each piece of cheese can be divided into two equal pieces.

Therefore, the 15 different pieces can produce 30 (15 * 2) equal pieces.

Then there will be 15 pieces in each group.

Provided during the division, it is ensured that equal weights were allocated to each piece, then each group will have the same weight as the other group.

Note that the division of the 15 pieces of cheese into two equal parts looks like the only way to have equal weight of two groups of the delicacy.


Related Questions

The school athletic director had a budget of $500 to purchase 164 items
for the soccer team. She purchased vests for $2.50 each, soccer balls for
$9.25 each, and cones for $0.75 each. She purchased 40 more cones than
balls. How many of each item can purchase?

Answers

Answer: She purchased 72 cones, 32 balls, and 60 vests.

Step-by-step explanation:

The total number of items is 164.

The price of the vests is $2.50 each.

The price of the soccer balls is $9.25 each.

The price of the cones is $0.75 each.

The total budget was  $500.

If V is the number of vests, B the number of balls, and C the number of cones, we have that:

V + B + C = 164.

V*$2.50 + B*$9.25 + C*$0.75 = $500.

and:

"She purchased 40 more cones than  balls."

C = B + 40.

Then we have a system of 3 equations and 3 variables:

V + B + C = 164.

V*$2.50 + B*$9.25 + C*$0.75 = $500.

C = B + 40.

Here the first step is to replace the third equation into the other two, in this way we eliminate one variable and one equation:

V + B + (B + 40) = 164

V*$2.50 + B*$9.25 + (B + 40)*$0.75 = $500.

Now we want to isolate one variable in one of the equations, i will isolate V in the first equation:

V = 164 - 2*B - 40 = 124 - 2*B

Now i can replace this into the other equation:

(124 - 2*B)*$2.50 + B*$9.25 + (B + 40)*$0.75 = $500

Now let's solve this for B.

$310 - $5*B + B*$9.25 + B*$0.75 + $30 = $500

B*( $9.25 - $5 + $0.75) = $500 - $310 - $30

B*$5 = $160

B = 160/5 =  32

Now we know the value of B.

And by the equations above:

V = 124 -2*B = 124 - 2*32 = 60

C = B + 40 = 32 + 40 = 72.

Then:

She purchased 72 cones, 32 balls and 60 vests.

The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24? y – 20 y – 14 y – 8 y – 6

Answers

Answer:

y - 6

Step-by-step explanation:

Given

y² - 10y + 24

Consider the factors of the constant term (+ 24) which sum to give the coefficient of the y- term (- 10)

The factors are - 4 and - 6, since

- 4 × - 6 = + 24 and - 4 - 6 = - 10, thus

y² - 10y + 24 = (y - 4)(y - 6)

Thus the other factor is (y - 6)

(y - 4) and ( y - 6 ) are the factors of the quadratic equation

What do you mean by quadratic equation?

The equation ax2 + bx + c=0 in one variable, with a 0, is known as a quadratic equation. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.The answer could be simple or complicated.

The roots of the quadratic equations are

x = [-b ± √ (b² - 4ac)] / ( 2a ) ( 2a )

Since (b2 - 4ac) is positive, we have two real solutions where (b2 - 4ac) is the discriminant.

When the discriminant is 0, there is just one viable option (both answers are the same)

In the case of a negative discriminant, two complicated solutions are obtained.

Let the quadratic equation be expressed as A given the data.

Right now, A is valued at

y² - 10y + 24   be equation (1)

The quadratic equations' roots are

y = [ -b ± √ ( b^2 - 4ac ) ] / ( 2a )

y = 10 ± √ ( 100 ) - ( 4 ( 24 ) ) / 2

y = ( 10 ± √4 ) / 2

y = ( 10 ± 2 ) / 2

As a result, y has two values of 10 + 2 / 2 and 6

And , y = (10 - 2) / 2 y = 4

In addition, the variables in the equation are

( y - 4 ) ( y - 6 ) = y² - 10y + 24

The quadratic equation is therefore resolved.

Go here for additional information about quadratic equations.

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Billy walks 2.5 miles every day to soccer practice and catches a ride home from his Grandma. Billy had 5 practices last week. How many miles did Billy walk last week to practice? 10 points please help

Answers

Answer:12.5 mike he walked to practice last week

Step-by-step explanation:

2.5 miles everyday

5 practices last week

2.5 miles x 5 practices

-.75X-2 = .25x
What is x

Answers

Answer:

  x = -2

Step-by-step explanation:

Add 0.75x to both sides of the equation.

  -0.75x -2 = 0.25x . . . . . given

  -0.75x +0.75x -2 = 0.25x +0.75x

  -2 = 1.00x . . . . simplify

  x = -2

27. Give the perimeter of the rectangle below in
simplest form.

Answers

Answer:

The permeter will be 26 units

Step-by-step explanation:

First to find this you need to know what the value of x is to do this I will use the equation 3x - 7 = x + 2

1. add seven to both sides leaving 3x = x + 9

2. Then subtract the 1x from both sides leaving 2x = 9

3. Then divide 9 by 2 which will be 4.5, x = 4.5

Then just plug 4.5 into each x value 4.5 + 2 and 3(4.5) - 7

1. 4.5 + 2 = 6.5

2. 3(4.5) - 7              13.5 - 7 = 6.5

The perimeter of the rectangle below in simplest form will be 4(x - 3).

Length of the rectangle = 3x - 7

Width of the rectangle = x+2

The perimeter of a rectangle is given as 2(length + width). The perimeter of the rectangle given will then be:

= 2(length + width)

= 2(3x - 7) + 2(x + 2)

= 6x - 14 + 2x + 4

= 4x - 12 = 4(x - 3)

Therefore, the perimeter of the rectangle in simplest form will be 4(x - 3).

Read related link on:

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What is 503.782 to the nearest then tenth

Answers

Answer: 503.8

Step-by-step explanation: 503.782 is the original fraction. To round up the number has to be 5, 6, 7, 8, or 9. The number in the hundredths place is 8. so that means the number in the tenths place can be moved up to 8 since 7+1=8.

x decreased by 7 is 38

Answers

Answer:

45

Step-by-step explanation:

x - 7 = 38

add 7 to both sides to get the variable by itself

x = 45

What is 3/8 divided by 2

Answers

Hello.

3/8 divided by 2 can be put into the equation 3/8 ÷ 2/1.

You can't divide fractions, so you flip the divisor's fraction, then switch the equation to multiplication. The equation is now 3/8 × 1/2. Multiply across

--> 3 * 1

________

--> 8 * 2

Finishing the equations, we are left with 3/16. This cannot be reduced, so the final answer is 3/16

Using the origin as a starting point, explain how you would plot the point (-5, 3).

Answers

The first number (-5) is on the x, or horizontal axis, and the second number (3) is on the y, or vertical axis. Therefore, starting at (0,0) (the origin), you would count -5 points to the left to get to -5 on the x axis, and then you would count 3 points up to get to 3 on the y axis. This will lead you to coordinate (-5, 3) Hope this helps

what is the solution to -2(8x-4) 2x+5?​

Answers

Answer:

that would be -2200 sorry if im wrong

Step-by-step explanation:

-32x2 +16x+5 is the answer

Zeros at the end of the multiplier and/or multiplicand are never attached to the product.

Answers

Answer:

False

Step-by-step explanation:

SHOW WORK !! PLS HELP

Answers

This is all i have............................

52 cars were built at the plant last month.
If that was 80% of the cars on order, how
many total cars were ordered?

Answers

Answer:

65

Step-by-step explanation:

Total cars =

[tex] \frac{52}{80} \times 100 = 65[/tex]

what is a dependent variable ​

Answers

Answer:

a variable (often denoted by y ) whose value depends on that of another.

Step-by-step explanation:google

All lines parallel to y = 5x - 7 have a slope of

Answers

Answer:

5

Step-by-step explanation:

[tex]y = 5x - 5 \\ equating \: it \: with \\ y = mx + b \\ slope \: (m) = 5[/tex]

Parallel lines have same slope.

So, slope of required line = 5

4.25 + (-3/8) + 2 1/4 To being 2 wholes

Answers

Answer:

6.125

Step-by-step explanation:

4.25 + (-3/8) + 2 1/4 = 6.125

The temperature at 2:00 pm is 27 degrees. At 2:00 am the temperature has fallen to -4 degrees. What is the difference in temperature from 2:00 pm to 2:00 am?

Answers

Answer:

The difference in temperature = 27-(-4)=31 degree

Step-by-step explanation:

Please help!!! I would like an explanation along with your answer. Thanks

Answers

Answer:

x = 12/13

BC = 140/13

Step-by-step explanation:

If A is the mipoint of BC, then AB is half of BC.

AB = BC / 2

8x − 2 = (3x + 8) / 2

16x − 4 = 3x + 8

13x = 12

x = 12/13

BC = 3x + 8

BC = 3 (12/13) + 8

BC = 36/13 + 104/13

BC = 140/13

Write each product as a power 6x6x6x6 if u help me youll get a cookie ^

Answers

Answer:

6⁴

Step-by-step explanation:

We see that we are multiply 4 6's together. That means we can simply just raise 6 to the 4th power as we are multiplying 6 x 6 x 6 x 6.

Hey there!

ANSWER: [tex]6^4[/tex]EXPLANATION:

[tex]6*6*6*6 \text { as a power}[/tex]

If you want to find this number to be written as a power, you will need to see how many times the number is being multiplied by 6.

[tex]6(1)*6(2)*6(3)*6(4)\\\text {It was multiplied 4 times}[/tex]

Since it was multiplied by 4 times, you will write it as:

[tex]6^4(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

The amounts of vitamin C (in milligrams) for 100g (3.57 ounces) of various randomly selected fruits and vegetables are listed. Is there sufficient evidence to conclude that the standard deviation differs from 12 mg? Use alpha = 0.10. Use a graphing calculator with the program SDHYP and the P-value method. Source: Time Almanac 2012. State the hypotheses and identify the claim with the correct hypothesis. H_0: sigma H_1: sigma This hypothesis test is a (select) test.

Answers

Answer:

H0: sigma=12

H1:sigma≠12

This hypothesis test is a two tailed test.

Step-by-step explanation:

The null value described in the statement is 12 mg. So, the null hypothesis would be sigma=12. As the statement states that whether there is sufficient evidence to conclude that standard deviation differs from 12 mg, so the alternative hypothesis would be sigma ≠12. The alternative hypothesis contains inequality sign so, the hypothesis test is a two tailed test.

Help please i mark brainliest !!!

Answers

Point slope form: y - y1 = m(x - x1)

y1 = y-point

m = slope

x1 = x-point

Using what we wrote above, we can solve the question.

y1 = -2

m = -2/3

x1 = 4

Therefore, the point is (4, -2) and the slope is -2/3

Best of Luck!

Six more than the product of three and a number

Answers

Answer:

6+3x

Step-by-step explanation:

A number will be given the variable x

So:

6+(3x)

Answer:

3x + 6.

Step-by-step explanation:

The number is x.

A bike rental shop charges a 13 dollar fixed fee plus 7 dollars an hour for renting a
bike. Benny paid $76 to rent a bike. How many hours did he pay to have the bike
checked out?

Answers

Answer:

vRead the passage from “The Beginnings of the Maasai.”

Now Enkai lives at the top of Mount Kenya, and we Maasai still live below, herding cattle down in the plains. It’s not a bad life, especially when Enkai is the Black God, providing for us. And when the cattle or other children cause problems, I just warn them that they never know when I might suddenly develop my godly powers.

The main purpose of the passage is to illustrate the relationship between the Maasai and

Mount Kenya.

the children.

the cattle.

their god.

Step-by-step explanation:


To calculate 4 % tax on $63.78, multiply 4.2 times 63.78.
T
F
It’s true

Answers

Answer

False

Step-by-step explanation:

Cause i got it right on edge :)

Answer:

False

Step-by-step explanation:

you multiply .042 to 63.79 because 4.2 is the percentage.

What’s the answer confused with this ??

Answers

Answer:

x = - 1  

option I

Step-by-step explanation:

Equation is: 5x + 6 = 1

Subtract 6 from both sides

5x + 6 - 6 = 1 -6

        5x = -5

Divide both sides by 5

5x / 5 = -5/5

x = -1

Need help pizzazz anyone?

Answers

the answer is B. (x-2,y+1)

A = {1, 3, 5, 7, 9)
B = {2, 4, 6, 8, 10)
C = {1, 5, 6, 7, 9)
AN(BNC) =
(1, 3, 5, 6, 7, 9)
O {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
OO

Answers

A={1,3,5,7,9} bananafish

The intersection A n(B n C) is an empty set: {∅}

How to get the intersection between the 3 sets?

For two sets A and B.

A n B is defined as the intersection between A and B, so it is the set of common elements between A and B.

Here we have:

A = {1, 3, 5, 7, 9}B = {2, 4, 6, 8, 10}C = {1, 5, 6, 7, 9}

Then:

A n (B n C)

First, we have:

B n C = {6}

6 is the only common element between B and C.

And 6 does not belong to A, then:

A n (B n C) = {∅}

Which is an empty set.

If you want to learn more about sets:

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The Lions won 35 out of 40 games this season. What fraction of the games did the Lions win?Write your answer in simplest form.____________________________

Answers

Answer:

操你bit子

-by-step explanation: fjrfr gtger 操你bit子

Answer:

7/8 of their games

Step-by-step explanation:

35 divided by 5 is 7 and 40 divided by 5 is 8

My lawn is 17ft wide and 20ft long, each square foot of lawn gets 1350 new snowflakes per min how much snow in kilograms accumulates every hour average mass of snowflake is 1.70mg

Answers

Answer:

46.818 kg

Step-by-step explanation:

First, find the surface area of your yard. This is found by multiplying the length and width.

The equation for this is (l*w)=sa

So,

l=20ft

w=17ft

(20*17)= 340 square feet.

So, if each square foot gets 1350 new flakes per minute, you are going to find how much the entire yard gets in a minute by multiplying the surface area by 1350.

So,

(340*1350)= 459000  flakes for the entire yard in one minute.

Since there is 60 minutes in an hour, multiply 459,000 by 60.

459,000*60= 27,540,000  new flakes in the yard per hour.

Now, to find the weight in milligrams:

27,540,000*1.7= 46,818,000  mgs

Finally, because a kilogram is equal to one million milligrams (mg),

46,818,000/1,000,000= 46.818 kg

There are 6 black marbles, 14 blue marbles, 8 white marbles,
and 12 clear marbles in a bag. If Andy chooses a second marble
without replacing the first marble, what is P(black, then clear)?

Answers

Answer:

3/65 = 0.046 = 4.6%

Step-by-step explanation:

Notice that the total number of marbles is:

6 + 14 + 8 + 12 = 40

Then , the probability of getting a black marble first is 6/40 = 3/20

Now, since the experiment is without replacing, he is left with a total of 39 marbles in the bag, and the probability of getting a clear one is now 12/39

The total probability is the product of these two:

(3/20) x (12/39) = 3/65 = 0.046 = 4.6%

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