Tanmay had some chocolates with him. He gave one-third of them to Akash and one-fifth of them to Sharad. Tanmay could do so without breaking any chocolate. Which of these could be the number of chocolates Tanmay had in the beginning?

Answers

Answer 1

Answer:

The possible value of X are;

15, 30, 45, 60 etc

Step-by-step explanation:

The parameters given are

Number of chocolates Tanmay had = X

Number of chocolates Tanmay gave to Akash = 1/3 × X

Number of chocolates Tanmay gave to Sharad = 1/5 × X

Whereby 3 and 5 are factors of X, therefore;

3 × 5 = 15 is the lowest single factor of X

The possible values of X starting from the lowest factor are given as follows;

15 × 1 = 15

15 × 2 = 30

15 × 3 = 45

15 × 4 = 60

Hence, the possible value of X are the arithmetic progression a + (n - 1)×d

Where:

a = 15

n = 1, 2, 3, 4, ...

d = 15

Which includes;

15, 30, 45, 60


Related Questions

Is AABC AXYZ? If so, identify the similarity postulate or theorem that
applies

Answers

Answer:

Similar-AA

Step-by-step explanation:

If you know 2 angles of the triangle you automatically know the third. If all the corresponding angles of two triangles are the same, they are similar.

(p.s. This sign ~ means similar)

match the width with the go given area.

Answers

Hello!

Answer:

[tex]\boxed{ \bf 1.~l~=~9.25~cm;~A~=~55.5~cm^2~matches~with~the~last~option~w~=~6~cm.}[/tex]

[tex]\boxed{ \bf 2.~l~=~7.5~cm;~A~=~48.75~cm^2~matches~with~the~second~option~w~=~6.5~cm.}[/tex]

[tex]\boxed{ \bf 3.~l~=~5~cm;~A~=~44~cm^2~matches~with~the~third~option~w~=~8.8~cm.}[/tex]

[tex]\boxed{ \bf 4.~l~=~5~cm;~A~=~31.25~cm^2~matches~with~the~first~option~w~=~6.25~cm.}[/tex]

__________________________________Explanation:

We already know that the formula for area of a rectangle is A = l × w.

Notice how the width and the length are being multiplied to find the area.

Well, to find the width, we must do the opposite of multiplication, which is division.

Since we already have the length, all we have to do is divide the area by the length for each of the questions.

1:

A = l × w

55.5 = 9.25 × w

[tex]\frac{55.5}{9.25}[/tex] = 6

2:

A = l × w

48.75 = 7.5 × w

[tex]\frac{48.75}{7.5}[/tex] = 6.5

3:

A = l × w

44 = 5 × w

[tex]\frac{44}{5}[/tex] = 8.8

4:

A = l × w

31.25 = 5 × w

[tex]\frac{31.25}{5}[/tex] = 6.25

please help quickly

Answers

Answer:

question 1) Add 7/4 to both sides. question 2) Divide 4 by both sides. question 3) x=15

Step-by-step explanation:

Find the number of real-number solutions of the equation.
2x^2 = 37

Answers

Answer:

Step-by-step explanation:

2x^2 = 37

x^2=37/2

x^2=18.5

[tex]\sqrt{x^{2} }[/tex]=[tex]\sqrt{18.5}[/tex]

x=4.301

4. Joanna bought 3 mini cakes for a birthday party. She cuts each cake into quarters and plans to
serve each guest 1 quarter of a cake. How many guests can she serve with all her cakes?
Write a division expression and draw a picture to support your response.

Answers

Answer:

she can serve 12 guest with her cakes

Step-by-step explanation:

if 1 cake is cut into 4 peices

3 cakes will be cut into 12

Select the clause from the drop-down menu to correctly complete the sentence.
Be sure to wear goggles while you swim
Choose...
..thar last word is chlorine by the way​

Answers

Answer: ;otherwise, your eyes will become very irritated from the chlorine.

Step-by-step explanation: I took the test

Answer:

the answer above is right i jus took the test

Step-by-step explanation:

help me please i am marking brainiest, no one ever helps me with anything i am really struggling as a kid to move on to the next grade so please me me out with this problem please for i can force myself to keep going:

A student is doing a reading assignment. After 41 minutes of reading, she skims the pages ahead and estimates that she still has 53% of the reading to do. According to the girl's estimate, how long is the total reading assignment? Round to the nearest minute.

Answers

Answer:

Approximately 87 minutes

Step-by-step explanation:

So first see how much of the reading 41 minutes is. It is 47%.

So now to find out how much 100% is, first find out how much 1% is.

Just divide by 47.

1% = [tex]\frac{41}{47}[/tex]

And then multiply by 100 to get 100%

[tex]\frac{4100}{47}[/tex]

That is 87.2340425532

Which is 87

What is the product of −2 2/5 and −3 5/6?

A. -9 1/5
B. -6 7/30
C. 6 1/3
D. 9 1/5

Answers

Answer:

i think its D but not really sure

Step-by-step explanation:

I think answer should be d. Please give me brainlest I hope this helps let me know if it’s correct or not okay thanks I appreciate it

Which of the following expressions is equivalent to 4^−3?

A. 1/-4^-3

B. -4^-3

C. 1/4^3

D. 1/4^-3

Answers

Answer:

C

Step-by-step explanation:

Evaluate.

Exact Form:

1 /64

Decimal Form:

0.015625

C is the correct answer

ك ل و، مثلث قائم الزاوية في ل ك ل=٥ ، ول=٧، س منتصف الوتر ك و جد طول س ل​

Answers

Answer:

س ل = 4.3

Step-by-step explanation:

هتسرم وتعين بالمسطرة ^_^

Please help!!! I have no idea why, but I can’t solve these problems!!!!

Identify the LCD of the rational expressions in the equations


2/x+1 + x/x+4 = 1/2

4/x+9 + 3x/2x-1 = 10/3

I’d love it if anyone could answer both equations, but anything helps really!!!

Answers

I don’t understand

Please answer correctly !!!! Will mark BRIANLIEST !!!!!!!!

Answers

Answer:

4x`2 + 13x + 8

Step-by-step explanation:

the ` is the squared

If TV ≅ WV and UV ≅ XV, then which congruency theorem shows that ΔTUV ≅ ΔWXV ?

Answers

Answer:

Option (2).

Step-by-step explanation:

In the figure attached,

Given : TV ≅ WV and UV ≅ XV

To prove: ΔTUV ≅ ΔWXV

                Statements                  Reasons

1). TV ≅ WV                              1). Given

2). UV ≅ XV                             2). Given

3). ∠XVW ≅ ∠TVU                  3). Reflexive property

4). ΔTUV ≅ ΔWXV                  4). SAS (Side - angle - side) property of                                                             congruence

Therefore, Option (2) will be the answer.

En el supermercado pusieron las siguientes ofertas d frijol : 4kg a 100.80, 5kg a 170.50, 6kg a 260.60, 7kg a 320.40. ¿Cuál es la oferta que más conviene comprar? Explica tu respuesta:

Answers

Answer:

The first offer: 100.80 for 4kg

Step-by-step explanation:

To find the best offer, we just need to find the price per kilogram, and we do this by dividing the price by the number of kg:

100.80 for 4kg: 100.8/4 = 25.2 per kg

170.50 for 5kg: 170.5/5 = 34.1 per kg

260.60 for 6kg: 260.6/6 = 43.43 per kg

320.40 for 7kg: 320.4/7 = 45.77 per kg

The first offer has the smaller price per kg, so it is the best offer.

Can somebody give me the answers to all of theseeeeee plsssss rn

Answers

Answers:2x^2+8x+3(x-12)(X+2)x-3

Solution,

3x^2+5x-6+(-x^2+3x+9)

= 3x^2+5x-6-x^2+3x+9

= 3x^2-x^2+5x+3x-6+9

=2x^2+8x+3

2. x^2-10x-24

= x^2-(12-2)x-24

= x^2-12x+2x-24

= x(x-12)+2(x-12)

=(x-12)(X+2)

3. 3x^2-9x

take the common,

= 3x(x-3)

Hope it helpsGood luck on your assignment

Triangle ABC has two known angles. Angle A measures 55 degrees. Angle B measures 30 degrees. What is the measure of angle C? Show your work and explain how to solve.

Answers

Answer:

According to triangle theorems, we know that the interior angles of a triangle equals 180 degrees. Since we know that angle A and angle B are 55 and 30 degrees, all we need to do is add them up and subtract it from 180 degrees to find out the measure of angle C.

55 + 30 = 85 degrees

180 degrees - 85 degrees = 95 degrees (this is the measure for angle C)

The m∠C in the triangle is 95° as the other two angles are 55° and 30°

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sum of all the interior angles in a triangle is 180°.

Given, In a triangle, m∠A is 55° and m∠B 30°.

Therefore m∠C = 180° - 55° - 30°.

m∠C = 95°.

learn more about triangles here :

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what is the following sum 4(5vx^2y)+3(5vx^2y)
i don’t know if that answer is right

Answers

Answer:

C

Step-by-step explanation:

Please refer to the picture above.

Assuming a =

[tex] \sqrt[5]{x}^{2}y } [/tex]

You can visualise the solution easily.

Slove 6 3/8 - 6/8 help please

Answers

Answer:

5  5/8

Step-by-step explanation:

6 3/8 - 6/8

The denominators are the same, so we borrow from the 6

Borrw 1 in the form 8/8

6 + 8/8 +3/8 - 6/8

5 11/8 - 6/8

5  5/8

What is the slope of the line on the graph below?
2
-2 11
1
2
3
4
5
E
7
8
x
2.
L3
4
50
46

Answers

I believe the slope of the line is 1/3

Helppp!! Please ASAP!! Thank you.

Answers

Answer:

4

Step-by-step explanation:

Four students graphed one linear function each.

Rhett
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 1).
Cameron
On a coordinate plane, a line goes through points (0, 4) and (1, 0).

Ellis
On a coordinate plane, a line goes through points (0, negative 4) and (2, 0).

Braden
On a coordinate plane, a line goes through points (0, 1) and (4, 0).


Which student graphed a linear function with a y-intercept at –4?
Rhett
Cameron
Ellis
Braden

Answers

Answer:

ellis

Step-by-step explanation:

The student who graphed a linear function with a y-intercept at -4 is Ellis.

Option C is the correct answer.

We have,

The student who graphed a linear function with a y-intercept at -4 is Ellis.

Looking at the given information, Ellis's line goes through points (0, -4) and (2, 0).

The y-coordinate of the y-intercept is -4, which matches the requirement.

Therefore, Ellis is the student who graphed a linear function with a y-intercept at -4.

Thus,

The student who graphed a linear function with a y-intercept at -4 is Ellis.

Learn more about coordinates here:

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Triangle triangle A^ prime B^ prime C^ prime is the image of triangle ABC under a dilation What is the scale factor of the dilation

Answers

Answer:

2

Step-by-step explanation:

The scale factor of the dilation of triangle ABC into the triangle A^ prime B^ prime C^ prime is 2.

What is scale factor?

Scale factor is the factor which is used to enlarge or smaller the original figure. Scale factor is the ratio of representation measurement of the figure to the original figures.

Triangle A^ prime B^ prime C^ prime is the image of triangle ABC under a dilation.

The height of the triangle ABC is 5 units (blocks) and the height of the dilated triangle A'B'C' is 10 units. Thus, the scale factor is,

[tex]k=\dfrac{10}{5}\\k=2[/tex]

Hence, the scale factor of the dilation of triangle ABC into the triangle A^ prime B^ prime C^ prime is 2.

Learn more about the scale factor here;

https://brainly.com/question/10253650

Dora says that of all the possible rectangles with the same area, the rectangle with the largest perimeter will have two side lengths that are 1 unit does her sentment make sense?

Answers

Answer:

  maybe

Step-by-step explanation:

Dora is apparently assuming the dimensions are integers. In that case she is correct.

If the dimensions are unconstrained, the perimeter will be largest when a pair of opposite sides will be the smallest measure allowed.

For some perimeter P and side length x, the area is ...

  A = x(P/2 -x)

Conversely, the perimeter for a given area is ...

  P = 2(A/x +x)

This gets very large when x gets very small, so Dora is correct in saying that the side lengths that are as small as they can be will result in the largest perimeter. We have no way of telling if her assumption of integer side lengths is appropriate. If it is not, her statement makes no sense.

What are the x- and y- coordinates of point P on the directed line segment from A to B such that P is Two-thirds the length of the line segment from A to B? (2, –1) (4, –3) (–1, 2) (3, –2)

Answers

Answer: (4,-3) B

Step-by-step explanation:

Answer:

(4, –3) or B

Step-by-step explanation:

i just took the test!

Which is another way to name ZUST?
1
0 ZTSR
OTSU
S
O ZUSR
O ZUTS

Answers

Answer:

TSU is the correct for answer

Another way to name ∠UST is ∠TSU.

What are Angles?

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

The angle mentioned in the figure is at the point S.

This angle is the smaller angle formed at the point S.

An angle can be represented in two ways, from left to right or from right to left.

Suppose, an angle is ∠ABC.

We can represent this as ∠CBA.

So, the angle represented is ∠TSU.

Hence the angle is ∠TSU.

Learn more about Angles here :

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Weiming invests S4000 in a savings scheme that pays simple interest at a rate of 2% per annum.
Calculate the time taken for his investment to grow to $4400.

Answers

Answer:

55 YRS

Step-by-step explanation:

T=INTEREST X 100%/PRINCIPAL X RATE

T=4400X100%=440000%/4000 X 2%

T=440000%/8000%

T=55 YRS

LAST QUESTION!!!!!! WILL GIVE BRANLIEST!!!!! PLS JUST TAKE A LOOK!!!!!! SHARE YO SMARTNESS!!!!!!!!

6. Why is angle 1 congruent with angle C in the diagram?

A) They interior angles to the triangle.
B) They are vertical angles.
C) They are exterior angles to the triangle.
D) They are corresponding angles.

Answers

the correct answer is b.

Answer:

C

Step-by-step explanation:

They are opposite angles and opposite angles are the same amount.

The answer is C because they are on the outside of the triangle.

Outside = Exterior

solve for the width in the formula for the area of a rectangle

Answers

Here you go:
a = lw
w = a/l

please help ASAP for brainliest

Answers

Volume of a prism equals cross section area multiplied by length. Here, the cross section area is 41, and the length is 11. Therefore, it’s 41 multiplied by 11, which is 451 centimetres cubed. Hope this helps!

find the surface area

Answers

poop h34huehu 3uddej ewdujdwqijdwejj

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