A sports teacher had 1025 sweets. After distributing these equally amongst all the participants in a sports meet, he had just 1 sweet left with him. Which of these could be the number of sweets given away to each participant?

Answers

Answer 1

Step-by-step explanation:

Since it remains only 1 sweet, we can subtract it from the total and get the amount of sweets distributed (=1024).

As all the sweets are distributed equally, we must divide the number of distributed sweets by all its dividers (excluding 1024 and 1, we'll see later why):

1) 512 => 2 partecipants

2) 256 => 4 partecipants

3) 128 => 8 partecipants

4) 64 => 16 partecipants

5) 32 => 32 partecipants

6) 16 => 64 partecipants

7) 8 => 128 partecipants

9) 4 => 256 partecipants

10) 2 => 512 partecipants

The number on the left represents the number of sweets given to the partecipants, and on the right we have the number of the partecipants. Note that all the numbers on the left are dividers of 1024.

Why excluding 1 and 1024? Because the problem tells us that there remains 1 sweet. If there was 1 sweet for every partecipant, the number of partecipants would be 1025, but that's not possible as there remains 1 sweet. If it was 1024, it wouldn't work as well because the sweets are 1025 and if 1 is not distributed it goes again against the problem that says all sweets are equally distributed.


Related Questions

Kay is running a 13.5 km race. If she runs at a rate of 8 2/5 km/he for 1.5 hours, how many kilometers will she have left to run to finish the race?

Answers

The number of kilometers she will have left to run to finish the race is 0.9 km.

Given the following data:

Total distance = 13.5 kmSpeed = [tex]8\frac{2}{5} \;km/hr[/tex]Time = 1.5 hours

To determine the number of kilometers she will have left to run to finish the race:

First of all, we would calculate the distance she has covered by using this formula;

[tex]Distance = speed \times time\\\\Distance = 8\frac{2}{5} \times 1.5\\\\Distance = \frac{42}{5} \times \frac{3}{2} \\\\Distance = \frac{63}{5}[/tex]

Distance = 12.6 meters.

For the distance left:

[tex]Distance\;left = Total\;distance - Distance\;covered\\\\Distance\;left =13.5 -12.6[/tex]

Distance left = 0.9 km.

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Can someone help me plsss

Answers

the answer is
-32r+3

Whats the answer to this question?

Answers

Answer:

Try -4

Sorry if it's incorrect.

Step-by-step explanation:

Answer:

  [3, -1]

Step-by-step explanation:

The computation is performed element by element, as you appear to have figured.

  2f -g = 2[4, 1] -[5, 3] = [2·4 -5, 2·1 -3] = [8-5, 2-3]

  2f -g = [3, -1]

HELP PLS !!! IM IN A TESTT!

Answers

1. c
2. d
3. a
4. b

Hope I got this to you in time!

how many days are in a year?

Answers

Answer:

365 days in a year

Step-by-step explanation:

Look at a calendar

Answer:

Three hundred and sixty-five

Step-by-step explanation:

We know this because it takes exactly 1 year (365 days) to make one rotation around the sun. But we see the sun every day because the earth is on a sort of axis that it rotates on so when one-half of the earth does not see the sun the other half does due to this axis.

Y=2x,x+y=9 solve by substitution show work

Answers

Answer:

(3,6)

Step-by-step explanation:

y = 2x

x+y = 9

; x+(2x) = 9

3x = 9

x = 3

y = 2x

y = 2(3)

y = 6

Hello there here is the problem you gave us

[tex]y=2x,x+y=9[/tex]

You want to us to solve this by substitution,

_______________________

[tex]y=2x[/tex] [tex]x= \frac{1}{2}y[/tex]

_______________________

we can substitute [tex]y[/tex] for [tex]2x[/tex] and get the equation

[tex]x+2x=9[/tex], do the simple algebra and we get that [tex]x=3[/tex], remember though [tex]y=2x[/tex], plug in the value that [tex]x=3[/tex] and get that [tex]y=6[/tex]

_______________________

[tex]{\huge{\boxed{\mathfrak{Answer}}}[/tex]

[tex]x=3[/tex] [tex]y=6[/tex] Have a good day :) !

Greg earns $2.50 per hour plus $13.50 for each pool he cleans. He worked 8 hours and cleaned 5 pools. How much did he earn?

Answers

Answer:

87.5

Step-by-step explanation:

2.5 multiple by 8(number of hours) gives 20 dollars

Then 13.5 multiple by 5(number of pools cleaned) gives 67.5

The sum of both is 87.5 dollars

Very important question ⁉️​

Answers

Answer:

90°

Step-by-step explanation:

AB and  CD are parallel lines and EF is reversal  

Therefore angles BGH and DHG are consecutive interior angles  

As we know the sum of consecutive interior angles equals to 180°:  

∠BGH + ∠DHG = 180°

Line GP bisects angle BGH , therefore  

m∠PGH = 1/2*m∠BGH

Line HP bisects angle GHD, therefore  

m∠PHG = 1/2*m∠GHD

Sum of two angles of triangle GHP:  

m∠PGH + m∠GHD = 1/2(∠BGH + ∠DHG) = 1/2*180° = 90°

Therefore the missing angle a is:  

∠a = 180° - (m∠PGH + m∠GHD) = 180° - 90° = 90°

what is factor write its type​

Answers

Answer:

These are the answers

Step-by-step explanation:

factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

Hope it helps !

what is the sum of the rational expressions below 2x+5/9x+4x/x-3

Answers

Answer:

23x + 9

 ———————

    9  

please keep it simple.

Answers

Answer:

[tex]z^{2} +\frac{1}{2} +11z[/tex]

Step-by-step explanation:

→ Minus the z² terms

[tex]1\frac{1}{2} z^{2} -\frac{1}{2} z^{2}=1 z^{2}[/tex]

→ Minus the whole numbers

[tex]3\frac{1}{2} -3=\frac{1}{2}[/tex]

→ Add the z terms

11z

evaluate the expression.

Answers

Answer:

The value of [tex](-25)^{\frac{1}{2} }=5i[/tex]

Step-by-step explanation:

We need to find [tex](-25)^{\frac{1}{2} }[/tex]

We have

[tex](-25)^{\frac{1}{2} }=\sqrt{-25} \\\\=\sqrt{25} \times\sqrt{-1} \\\\=5 i[/tex]

I need help with numbers 17 and 18.

Answers

Answer:

  17.  D

  18.  C

Step-by-step explanation:

For both of these questions, you only need a general understanding of what rotation, translation, and dilation do. That is sufficient to let you choose the correct answer.

17.

The coordinates of Y are both negative, so it is a point in quadrant III on the graph. Rotating a point in quadrant III 270° clockwise will rotate it through quadrants II and I to quadrant IV, where it will be to the right and below the origin. Translation 9 units right and 5 units down will put it farther to the right and farther below the origin, still in quadrant IV.

As you know, translation right 9 units adds 9 to the x-coordinate. Translation down 5 units subtracts 5 from the y-coordinate. That means the coordinates of Y' must have x > 9 and y < -5. There is only one answer choice like that:

  D.  Y'(11, -8)

__

18.

Dilation about the origin multiplies each coordinate by the scale factor. It does not change the quadrant of a point on the graph. The original coordinates of R are (negative, positive), so it is in quadrant II. The dilated point will still be in quadrant II, but will be closer to the origin. Both coordinate values will change.

  R' = (1/3)R = (1/3)(-2, 3) = (-2/3, 3/3)

  R' = (-2/3, 1) . . . . . matches choice C

Which graph represents the solution of the inequality |3x+12| ≥ 3?

Answers

Answer:  A

Step-by-step explanation:

The solution to the inequality is x <= -5 and x>=-3 so A is correct

Pls help me with this question

Answers

Step-by-step explanation:

A

the answers are already right in picture. we only need to count.

maybe the problem is understanding a cube ? when it says here "the edge of each cube is 1 1/2 in long", then it means that every side length of a cube is the same (length, width, height). it is the principle of a 2-dimensional square in 3 dimensions.

and "prism" is simply another word for "box".

so, we see that there are 5 cubes fitting along the length of the prism.

so, the length of the prism is

5× 1 1/2 in = 5× 3/2 = 15/2 = 7 1/2 in.

3 cubes are the width of the prism.

so, the width of the prism is

3× 1 1/2 in = 3× 3/2 = 9/2 = 4 1/2 in.

B

we know the height of the prism is 3/4 ft.

1 ft = 12 in

3/4 ft = 3/4 × 12 = (3×12)/4 = 36/4 = 9 in

how many layers of cubes fit into 9 in ?

well, that is what we use division for :

9 ÷ 1 1/2

this is the same as

9 / 3/2 = (9/1) / (3/2)

to divide by a fraction is the same as to multiply with the upside-down fraction. therefore :

(9/1) × (2/3) = (9×2) / (1×3) = 18/3 = 6

so, 6 layers of the cubes fit into the prism.

What is the value of y?
y-5 1/2 = 3 1/3

Answers

Step-by-step explanation:

Y - 5 1/2 = 3 1/3

Y = 3 1/3 + 5 1/2

Y = 8.83

Triangle ABC is translated 2 units right and 5 units down to form triangle A’B’C’. This triangle is then translated 5 units right and 4 units up to form triangle A”B”C”. If the vertex A is at (-4, 2), what are the coordinates of vertex A”?

Answers

Answer:

(3,1)

Step-by-step explanation:

(x,y) (-4,2)

so -4 +2 = - 2 ; -2 +5 = 3

and for y: 2 - 5 = - 3 ; - 3 + 4 = 1

(3,1)

I need help with this question

Answers

Answer:

-5,2

Step-by-step explanation:

it literally represents LM and Shows it on the graph

38 degrees 2x degrees +6 degrees

Answers

STEP
1
:
Pulling out like terms

Pull out like factors :

32 - 2x = -2 • (x - 16)

STEP
2
:

Equations which are never true:

2.1 Solve : -2 = 0

This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:

2.2 Solve : x-16 = 0

Add 16 to both sides of the equation :
x = 16

look at this inequality

Answers

the correct answer is choice B

The pages in Rana’s diary are rectangular and not square. Both the length and width are measured in
whole centimeters. The perimeter of each page is 44 cm. What could be the area of each page?

Answers

Based on the information given, it should be noted that the area of the pages will be 112cm².

Since the perimeter is given as 44cm, the dimensions of the pages will be 8cm and 14cm.

Therefore, the area of the pages will be calculated thus:

= Length × Width

= 8cm × 14cm

= 112cm²

Therefore, it can be concluded that the area of the pages will be 112cm².

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hellp meeeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

yasss its C

The school band sold T-shirts for a fundraiser. They earned $6 profit on each T-shirt minus $4 for flyers. Give verbal description relating the number of T-shirts and the profit. Find the profit for selling 30 T-shirts

Answers

The school band could have a profit of $ 60 for selling 30 T-Shirts.

For the sale of each T-shirt the school band have a net profit of $ 6, of which $ 4 are discounted by concept of flyers and, thus, this band has a final profit of $ 2 for the sale of a T-shirt. The total profit for T-shirt sales equals the product of number of T-shirts sold and the final profit for each T-shirt sold.

Hence, the profit for selling 30 T-shirts is shown below:

[tex]C = (\$\,2)\cdot (30)[/tex]

[tex]C = \$\,60[/tex]

The school band could have a profit of $ 60 for selling 30 T-Shirts.

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The opposite of −358 is on the
(same or opposite)
side of zero on a number line as −358. The opposite of 429is on the
(same or opposite)
side of zero on a number line as 429.

Answers

the opposite of -358 is on the opposite side

the opposite of 429 is on the opposite side

Answer:

A: Opposite

B: Same

Step-by-step explanation:

I'm not really sure, please tell me if I'm incorrect

The function f is defined below.
f(x)=−2x−3
Find f(1).

Answers

Answer:

[tex]f(1)=-5[/tex]

Step-by-step explanation:

[tex]f(1)=-2(1)-3\\\\f(1)=-2-3\\\\f(1)=-5[/tex]

f(1) means to substitute x with 1 or that x=1. So since x=1  you will substitute it in where x is and then solve like a regular equation which will give you -5.

What is the cash payment of a article costing RS.2020 allowing a discount of Rs.20 and levying 13% VAT?​

Answers

The cash payment for the article is RS. 2,260.

A discount reduces the price of an item. The article becomes cheaper after the discount.

Cost of the article after the RS. 20 discount = RS. 2020 - 20 = RS 2000

VAT means value added tax. VAT increases the price of an item. The cost of the article increases by 13% after the  VAT is levied,

Cost of the article = (100 + 13%) x 2000

1.13 x 2000 = RS 2,260.

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Insert two rational number between: 2.23 bar and 2.24 bar

Answers

General method:

Given numbers are 2.23 bar and 2.24 bar

2.23 bar = 2.232323...2.24 bar = 2.242424...

Two rational numbers between them

= 2.232525... and 2.239899...

Mean Method:

Let X = 2.232323...→ → →eqn(i)

since the periodicity is 2 then multiply eqn(i) with 100

⇛100×X = 2.232323...×100

⇛100X = 223.232323...→ → →eqn(ii)

Subtract eqn(ii)- eqn(i)

100X = 223.232323...

X = 2.232323...

(-)

__________________

99X = 221.000000...

__________________

⇛99X = 221

⇛X = 221/99

and

Let X = 2.242424...→ → →eqn(i)

since the periodicity is 2 then multiply eqn(i) with 100

⇛100×X = 2.242424...×10

⇛100X = 224.242424...→ → →eqn(ii)

Subtract eqn(ii)- eqn(i)

100X = 224.242424...

X = 2.242424...

(-)

_________________

99X = 222.000000

_________________

⇛92X = 222

⇛X = 222/99

Now we have 221/99 and 222/99

The rational number between them by mean method (a+b)/2

⇛{(221/99)+(222/99)}/2

⇛(443/99)/2

⇛443/198

and Second rational number

⇛{(221/99)+(443/198)}/2

⇛{(442+443)/198}/2

⇛(885/198)/2

⇛885/396

Answer: The two rational numbers between them are 443/198 and 885/396.

also read similar questions: Give five rational numbers lying between 3/5 and 4/5. Insert six rational numbers between 3 and 4.

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Please help this is due on Monday! Will give brainliest!!!!

Answers

Answer:

The awnser in the first option. A

PLEASE HELP ME!!!!

Which table represents the increasing linear function with the greatest unit rate?

Answers

Answer:

the answer should be C

Step-by-step explanation:

Hope this helps!

Sherrod and Kamar are planning to drive at most 900 miles road trip. Sherrod drives at 60 miles per hour, and Kamar at 50 miles per hour. Let x represent the distance Sherrod drives and y represent the distance Kamar drives.

a. Write an inequality that represents the miles that Sherrod and Kamar drive.

b. GIve 2 possible combinations of miles that Sherrod and Kamar can drive that satisfy the inequality.

Answers

The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.

a. The inequality that represents the miles that Sherrod and Kamar drives is; x + y ≤ 900b. Two possible combination of x and y are; (600, 300) and (300, 600)

Reasons:

a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles

Sherrod's speed = 60 mph

Kamar's speed = 50 mph

The distance Sherrod drives = x

The distance Kamar drives = y

a. The miles driven by Sherrod and Kamar is given by the inequality;

x + y ≤ 900

b. Two possible combinations are;

First possible combination;

Sherrod drives for 10 hours, which gives;

Distance Sherrod drives = 60 mph × 10 hour = 600 miles

Kamar drives for 900 miles - 600 miles = 300 miles

Which gives;

Sherrod drives for 600 miles and Kamar drives for 300 miles

First combination; (600, 300)

Second possible combination;

The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles

Second combination; (300, 600)

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