Mary has some chocolates. If she shares them equally among 4 friends or 5 friends, there are always 2 extra chocolates left. What is the possible number of chocolates Mary could have?

Answers

Answer 1

Answer:

22 chocolates

Step-by-step explanation:

First, let x represent the number of chocolates Mary has. Since she always has 2 extra chocolates, the number of chocolates distributed to her friends would be x - 2. And x - 2 is the least common multiple of 4 and 5 because x - 2 chocolates are evenly distributed among 4 and 5 friends. The LCM of 4 and 5 is 20, so x - 2 is 20.  Mary has 22 chocolates.


Related Questions

(x - y + z) : (y - z + 2w) : (2x + z - 10) = 2:3:5 Then ( 3x + 3z - 2w) : w = ?pgvzcmckyc?​

Answers

Answer:

19

Step-by-step explanation:

in question given ,x = 2, y = 3, z = 5 in this way

(3x+3z+2w) and find the value of w . according to given values and put

Answer:

  4 +30/w . . . . for any w≠0

Step-by-step explanation:

The given constraints resolve to 2 equations in 4 unknowns. There are an infinite number of solutions.

The ratio requirement means ...

  (x -y +z)/2 = (y -z +2w)/3 = (2x +z -10)/5

Considering the first equality, we can multiply by 6 and subtract the right side.

  3(x -y +z) -2(y -z +2w) = 0   ⇒   3x -5y +5z -4w = 0

Considering the first and last expressions, we can multiply by 10 and subtract the right side.

  5(x -y +z) -2(2x +z -10) = 0   ⇒   x -5y +3z = -20

These two equations have solutions ...

  x = 10 -z +2w

  y = 6 + 0.4z +0.4w

Using these expressions in the ratio of interest, we have ...

  (3x +3z -2w) : w = (3(10 -z +2w) +3z -2w) : w = (30 -3z +6w +3z -2w) : w

  = (30 +4w) : w

Expressed as a mixed number, the ratio of interest is ...

  (30 +4w)/w = 4 +30/w . . . . an infinite number of solutions

__

For positive values of w that are divisors of 30, there are 8 possible values:

   (w, ratio) = (1, 34), (2, 19), (3, 14), (5, 10), (6, 9), (10, 7), (15, 6), (30, 5)

_____

Check

It might be interesting to substitute the expressions for x and y into our original equation(s).

  (x -y +z)/2 = ((10 -z +2w) -(6 +0.4z +0.4w) +z)/2 = (2 -0.2z +0.8w)

  (y -z +2w)/3 = ((6 +0.4z +0.4w) -z +2w)/3 = (2 -0.2z +0.8w)

  (2x +z -10)/5 = (2(10 -z +2w) +z -10)/5 = (2 -0.2z +0.8w)

All of these expressions are identical, as they should be.

Acellus. please help me

Answers

by-step explaAnswer:

by-step epla

Step-nation:

a

what is the sum of two number 55 + 6

Answers

Answer:

61

Step-by-step explanation:

1+1+1+1+1+1=6

6x10=60

60+1=61

How do you balance a firm’s need to succeed and the need for not asking the workers for perfection?

Answers

The way to balance a firm's need to succeed and the need for not asking the workers for perfection is through the offering of training to workers, which allows them to notably improve their performances autonomously, without this being directly instigated by the company's directory.

That is, through the education of workers in the different areas of their jobs, the level of the same will be improved and better results will be obtained.

Learn more about perfectionism in https://brainly.com/question/7277328

Which of the following equations contains the point (8, 5) and is perpendicular to the line y = 2x − 3?

Answers

Answer:

[tex]y = \ -\displaystyle\frac{1}{2}x \ + \ 9[/tex]

Step-by-step explanation:

Given that the reference line is y = 2x - 3, with a slope of  [tex]m_{reference} \ = \ 2[/tex].

We know that two non-vertical lines are perpendicular if the slope of one line is the negative reciprocal of the slope of the other. In other words, both slopes can be multiplied together to yield -1. Let [tex]m_{1}[/tex] be the slope of one line and [tex]m_{2}[/tex] be the slope of its corresponding perpendicular line,

[tex]m_{1} \ \times \ m_{2} \ = \ -1 \ \ \ \ \ \ \ \ \ \ \ \mathrm{or} \ \ \ \ \ \ \ \ \ \ \ m_{1} \ = \ \displaystyle\frac{-1}{m_{2}}[/tex].

Thus,

[tex]m_{reference} \ \times \ m_{perpendicular} \ = \ -1 \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ \displaystyle\frac{-1}{m_{reference}} \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ \displaystyle\frac{-1}{2} \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ -\displaystyle\frac{1}{2}[/tex]

Therefore, using the point-slope form for the equation of a line passing through the point [tex](x_{1}, \ y_{1})[/tex] is [tex]y \ - \ y_{1} \ = \ m(x \ - \ x_{1})[/tex]. Given that the perpendicular line passes through the point [tex](8,\ 5)[/tex], the equation of the perpendicular line is

[tex]y \ - \ 5 \ = \ -\displaystyle\frac{1}{2}(x \ - \ 8) \\ \\ y \ - \ 5 \ = \ -\displaystyle\frac{1}{2}x \ + \ 4 \\ \\ \-\hspace{0.85cm} y \ = \ -\displaystyle\frac{1}{2}x \ + \ 9[/tex]

been trying for an hour, need help

Answers

By using tangents u can get the answer

Sin45degre = x divided by root 5

Answer:

[tex]\sqrt{\frac{5}{2} }[/tex]

Step-by-step explanation:

We know that this is a 45-45 triangle. Where there are two angles that are 45 degrees and the other angle is a right angle (90 degrees).

The sides are a, b (which equals a) and, c (which equals a*square root of 2).

In this triangle we are given c, and tasked at finding a. Since c= [tex]a*\sqrt{2}[/tex], then we know that, [tex]\sqrt{5}= a*\sqrt{2}[/tex].  Divide the equation by square root of 2 to find a. Which equals [tex]\sqrt{\frac{5}{2} }[/tex]

Please answer the file question.

Answers

WT is 63 units long. Work on paper.

Answer:

WT = 63

Step-by-step explanation:

Given Δ SDE is similar to Δ SWT then the ratio of corresponding sides are in proportion, that is

[tex]\frac{WT}{DE}[/tex] = [tex]\frac{ST}{SE}[/tex] , substitute values

[tex]\frac{5x+3}{56}[/tex] = [tex]\frac{4x-3}{40}[/tex] ( cross- multiply )

56(4x - 3) = 40(5x + 3) ← distribute parenthesis on both sides

224x - 168 = 200x + 120 ( subtract 200x from both sides )

24x - 168 = 120 ( add 168 to both sides )

24x = 288 ( divide both sides by 24 )

x = 12

Then

WT = 5x + 3 = 5(12) + 3 = 60 + 3 = 63

What is the volume of the irregular figure?

Answers

Answer:

the answer u r looking for is 144

Step-by-step explanation:

if u know who this is i will follow u

hint: its from avatar tla

only the first person that answers!!!

Really easy question!!! will mark BRAINLIEST

True or false. The weight of the moon is six times that of earth? Create an equation.​

Answers

Step-by-step explanation:

False, the moon weight is 1/6 of Earth weight. Let y our Earth weight, and let x be our moon weight. We can write this as y=6x.

Use the GCF and the Distributive property to find the sum of 66+78

Answers

Here is ur answer of your question

Christian buys a two-gallon bottle of juice for $28.16. What is the unit rate of the cost of the juice per fluid ounce?

Answers

Answer:

$0.22

Step-by-step explanation:

128 oz in a gallon

2 gallons is 256oz

28.16*2=56.32

56.32/256=0.22

Subtract:
(3x^3– 10x^2+ 13x) – (5x^3+ 4x² – 9x)
A. 8x^3 + 14x^2 - 22x
B. 8x^3 - 6x^2 + 4x
C. 2x^3 - 6x^2 - 4x
D. -2x^3 - 14x^2 + 22x

Answers

Answer:

D

Step-by-step explanation:

(3x³ - 10x² + 13x)  -  (5x³ + 4x² - 9x)

3x³ - 10x² + 13x  - 5x³ - 4x² + 9x  Change all terms after the subtraction sign to

                                                      the opposite sign (definition of Subtraction)

(3x³ - 5x³) + (-10x² - 4x²) + (13x + 9x)    Group like terms together

-2x³ - 14x² + 22x                                    

simplify help me to do this

Answers

Answer:

204

Step-by-step explanation:

90-5 (9-5 (9- (14-12) 3 ) ÷5

▪︎ First we have to solve the ones in the brackets ___ ( 14-12 ) which is e equal to 2

90-5 (9-5 (9- 2×3 ) ÷5 "the 3 comes inside the bracket coz we solved the previous one"

▪︎then we have to solve ( 9-2×3 ) which is equal to 3 _____ is 3 because if we go in the BODMAS way it will be

( 2×3 =6) , then... (9-6=3)

▪︎at the same time we can subtract 9-5 because we are done with the first bracket ( 9-5=4 )

90-5 (4×3)÷5

▪︎at the same time we can subtract 90-5 as well coz we are done with the first bracket ( 90-5=85)

▪︎then we can multiply (4×3) coz it's in the brackets (4×3=12)

85×12÷5

▪︎so then we hv to multiply 85 by 12 , then the answer is 1020

1020÷5

▪︎then divide (1020÷5=204)

☆90-5 (9-5 (9- (14-12) 3 ) ÷5

=90-5(9-5(9-2×3)÷5

=90-5(4×3)÷5

=85×12÷5

=1020÷5

=204

hope this helps☆☆☆

( sorry fr the long answer )

Translate the sentence into an inequality.

Six times the sum of a number and 20 is greater than 16.

Use the variable c for the unknown number.

Answers

Answer:

6 (20 + c) > 16

Step-by-step explanation:

the sum of the number and 20 is 20 + c. so you multiply that equation by 6 giving you 6 (20 + c)

2nd time asking please helpp!!

Answers

Answer:

exact form is 6/5 its decimal form is 1.2, and mixed numbers is 1  1/5

Step-by-step explanation:

Answer:

6/5, 1.2, or 1 1/5

What do x equal to
Answer quickly pls

Answers

Answer:

= 130°

Step-by-step explanation:

a far away exterior angle is equal to the sum of two far interior angles

50+80 = x

The value of x² – 2yx + y² when x = 1, y = 2 is

Answers

7
The process
1-2(2x1)+(2)^2

[tex]x^2 - 2xy +y^2 = (x-y)^2 = (1-2)^2 = (-1)^2 =1[/tex]

6x+3y=13 find the value

Answers

6x+3y=13

6x+3y-13=13--13

6x+3y-13=0

What is the least multiple 6 and 8 have in commen explain

Answers

the answer is the number 2 because they can both be divided by 2 but not any other number besides 1

the first several multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 the first several multiples of 6 are 6: 12, 18, 24, 30, 36, 42, 48, 54, 60


find the area enclosed by the figure

Answers

Answer:

2677 mi^2

Step-by-step explanation:

Think the shape as an complete rectangle :

The area of the rectangle is calcluated by multiplying height*width

(24+12+19)*55 = 3025 mi^2 now subtract the area of the missing part using same area calculation method:

12*29 = 348 mi^2 the area of the figure:

3025 - 348 = 2677 mi^2

Hemp help help math math

Answers

Answer:3 or 6 over 2

Step-by-step explanation:

The formula is y2-y1

-------- =

x2-x1

y2=30 y1=24. X1=8. X2=10

So you do 30 minus 24 to get 6 and 10-8 to get 2 and yhen you will get the fraction of 6/2 so when you divde it your final answer will be 3

write 321.51 to the nearest whole​

Answers

Answer:

322.

Hope that helped. x

Step-by-step explanation:

We have 321.51,

So what we need to do is check the number straight after the decimal point and see if it is less than 5 or 5 and above. (5 and above mean increasing the number, less than 5 means decreasing the number.)

Since the number is 5 we change the 1 to a 2. So the answer is 322.

The nearest whole is 322 because it the closes I know

QUESTION 13 PLEASE HELP ME ASAPP

Answers

Answer:

option 1 is the best choice

Step-by-step explanation:

for every 5 minutes, the number of toys increases by 2.

-2 - 1 + 4 I need the help please

Answers

Answer:

it's 1

Step-by-step explanation:

hope this helps 1

the answer is 1

-2+-1= -3
4-3

PLEASE HELP WILL MARK BRAINIEST!!!!!!

Answers

B is the answer as when you draw angle bisector you draw arcs that intersect at the bisector

How do you multiply fractions? And do we have to simplify them by any chance or no?

Answers

To multiply a fraction, imagine it this way. Start with 1/4. Then if you multiply 1/4 by 2 it would be 1/2.

If you have a quarter, and you times that quarter by 2, you have half a dollar.

It only needs to be simplified if you can simplify the fraction.

Answer:

Ok say your doing 1/4 * 2/4 you move the /4 over to the side and multiply 1 and 2 that would be 2 so then you put the the 2 on top of the /4 and you have 2/4… Now if you have odd numbers like 1/4 * 1/6 you would simplied the 6 and 4 what can go into (divide by the same number) 6 AND 4 both… 2 because so you change the 1/4 and 1/6 to a 1/2 * 1/2 those multiplied together equal 1/2

Step-by-step explanation: pls give brainleist and dont for get to leave a rating and heart

Find the slope of the line below:

Answers

Answer:

[tex]\bold{m=-\frac{2}{5}}[/tex]

Step-by-step explanation:

Slope

First, we have to find two points that hit the graph at the right place:

[tex](0,4)[/tex]

[tex](10,0)[/tex]

Then, we plug the value into the slope formula:

[tex]\sf{Slope\:formula:\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{0-4}{10-10}[/tex]

Now, we can solve:

[tex]\frac{0-4}{10-0}\\\\=\frac{-4}{10}\\\\\bold{m=-\frac{2}{5}}[/tex]

Therefore, the slope of the line is [tex]-\frac{2}{5}[/tex]

What is ten times as great as 450?

Answers

Answer: The answer is 4,500.

Explanation: 450 x 10 = 4,500.

Ten times as great as 450 is 4500.

We need to find what is ten times as great as 450.

What is multiplication?

When we multiply two numbers, the answer is called product. The number of objects in each group is called multiplicand, and the number of such equal groups is called the multiplier.

Multiplication step:

Multiply the multiplicand by each of the numbers of the multiplier, moving from right to left. The units of the product are written below the line.The tens place of each product is added to the next product.

Now, ten times as great as 450=10×450=4500

Therefore, ten times as great as 450 is 4500.

To learn more about multiplication visit:

https://brainly.com/question/5992872.

#SPJ2


What is the value
of m when p= 32
3p + 2 = m
m =
O
11
00
8
O
5
3

Answers

Just substitute 32 for p in the equation
3(32)+2=m
96+2=m
M=98

what is the perimeter of a rectangular whose area is 92 square mm and length is 11.5 mm​

Answers

We are given

Area of rectangular is = 92 square mmLength of rectangular is = 11.5 mm

We are asked to find out the value of perimeter of the rectangular! Let's find it's breadth first!

We know that–

[tex]\qquad[/tex][tex] \purple{\bf\longrightarrow Area_{(Rectangular)} = Length \times Breadth} [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 92 = 11.5 \times Breadth [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Breadth = \cancel{\dfrac{92}{11.5}}[/tex]

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Breadth = 8 \: mm}[/tex]

Now, Perimeter of rectangular –

[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow Perimeter _{(Rectangular) } = 2( Length + Breadth) }[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(Rectangular) }= 2( 11.5 +8) [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(Rectangular) } = 2 \times 19.5[/tex]

[tex]\qquad[/tex][tex]\pink{ \bf \longrightarrow Perimeter _{(Rectangular) } = 39\: mm}[/tex]

Henceforth, Perimeter of rectangular is 39mm.

_______________________________________

Answer:

Perimeter = 39 mm

Step-by-step explanation:

In this question we are given with ,

Area of rectangle = 92 sq mm

Length of rectangle = 11.5 mm

And we're asked to find the perimeter of rectangle .

Solution : -

We know that ,

[tex] \pink{ \boxed{\sf{Area \: of \: rectangle = L × W}}}[/tex]

Where ,

L = length of rectangle

W = width of rectangle

So from this formula we can find the width of rectangle and equating it with 92 ( because 92 is the given area ) . Substituting value of length :

[tex] \longmapsto \: 11.5 \times W = 92[/tex]

Step 1 : Multiplying 11.5 and W :

[tex] \longmapsto \: 11.5W = 92[/tex]

Step 2 : Dividing by 11.5 on both side :

[tex] \longmapsto \: \frac{ \cancel{11.5}W}{ \cancel{ 11.5}} = \frac{92}{11.5} [/tex]

On further calculations we get :

[tex] \longmapsto \: W = \cancel{\frac{920}{115} }[/tex]

Step 3 : By cancelling 920 by 115 we get :

[tex] \longmapsto \: \purple{\boxed{ \bold{W = 8 \: mm}}}[/tex]

Therefore , width of rectangle is 8 mm .

Finding Perimeter :

We know that ,

[tex] \blue{ \boxed{ \sf{Perimeter \: of \: rectangle = 2 ( L +W )}}}[/tex]

Where ,

L = Length of rectangle

W = Width of rectangle

Substituting values in formula :

[tex] \longrightarrow \: 2(11.5 + 8)[/tex]

Step 1 : Solving parenthesis :

[tex] \longrightarrow \: 2(19.5)[/tex]

Step 2 : Multiplying 2 with 19.5 :

[tex] \longrightarrow \: \green{\boxed{ \bold{39 \: mm}}}[/tex]

Therefore, perimeter of rectangle is 39 mm.

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