(1). There are always 4 bars of chocolates,
left when box of chocolates shared
equally among 8, 10, or 12 children.
Find the smallest number of chocolates
in the box,​

Answers

Answer 1

Answer:

The smallest number of chocolates in the box is 124.

Step-by-step explanation:

There are always 4 bars of chocolates left in the box when they are share equally among 8, 10, or 12 children.

This means that the smallest number of chocolates in the box is 4 added to the least common multiple of 8, 10 and 12.

LCM(8,10,12).

We factore them by prime factors until all are 1. So

8 - 10 - 12|2

4 - 5 - 6|2

2 - 5 - 3|2

1 - 5 - 3|3

1 - 5 - 1|5

1 - 1 - 1

So

lcm(8,10,12) = 2*2*2*3*5 = 8*15 = 120

Adding 4: 120 + 4 = 124

The smallest number of chocolates in the box is 124.


Related Questions

Pls help extra points and mark brainlist

Answers

Answer:

(12)3=36

Step-by-step explanation:

i don't know.. I think this is what the question is trying to say XD

Answer:

(12)3=36

Step-by-step explanation:

A and T are variables.
The variable (48 - A) is directly proportional to the square of the variable T.
A is 28 when T = 2
(a) Find the formula for (48 - A) in terms of T.

please answer fasttt

Answers

Answer:

20 is the answer

Step-by-step explanation:

48-28=20

The geometric mean between 8 and 18.
a) 8
b) 12
c) 14
d) 16

Answers

Explanation:

The geometric mean of two positive numbers a and b is √ab. The ratio a:√ab is equal to the ratio √ab:b.

b

The diagram shows a cuboid.
4 cm
5 cm
9 cm
What is the volume of the cuboid?
Asap

Answers

Answer:

180

Step-by-step explanation:

9x5=45

45x4=180

Answer:

180 cm^3

Step-by-step explanation:

4x5x9=180

Hope this helps! ;)

i dont really understand... it says to use vertical angle theorem​

Answers

Answer:

The virtical angle theorem is that virtical angles are congruent, or equal. A vertical angle is like the angles in an X.  The opposite angles are congruent, like in the picture, it is the unknown angle and the angle touching it.

The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit. What are the slope and y- intercept of the line that models this situation?
A. Slope=- 0.0018, y-intercept = 212
B. Slope= 0.0018, y-intercept =-212
C. Slope =212, y- intercept= 0.0018
D. Slope=-212, y-intercept = 0.0018

Answers

Answer:B

Step-by-step explanation

The slope of the linear relation is -0.0018 and the y-intercept will be 212. The correct option is B.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data in the table is,

Altitude(x)       Boiling point (y)

0                      212.0

500                 211.1

The slope will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 211.1 - 212  ) / (500 - 0 )

Slope = -0.0018

The y-intercept will be calculated as,

y = mx + c

212 = 0 + c

c = 212

Therefore, the slope of the linear relation is -0.0018 and the y-intercept will be 212. The correct option is B.

To know more about an equation of the line follow

https://brainly.com/question/18831322

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In the functions in the table, x is the price of each chair. The functions give the revenue (R) and costs (C) that Carrie’s business can expect in a year at a given price for the item. Use graphing tools to examine the graphs for each set of equations. Then select the correct answer from each drop-down menu.

Answers

9514 1404 393

Answer:

Material 2 can deliver the highest profit of about 3,225,000Material 3 is profitable for the widest range of prices

Step-by-step explanation:

The graphs of profit are shown in the attachment. Each is the difference between the revenue function and the cost function.

Material 2 (blue curve) shows the highest profit.

Material 3 (green curve) shows a profit over the widest range of prices.

What does it mean when a problem asks for an expression

Answers

Answer:

when it asks for an expression it means an equation

ex.) 2x+3 =5

Step-by-step explanation:

can someone help me solve these two problems? i need to find what x is.

Answers

Answer:

1. x=2

2. x= 0.33

Step-by-step explanation:

1.So to start off you have a coefficient for 2 so you have to find what 2 to the power of 2 is =4 so then you have your new problem 4x+5=13 next you need to get 4x by itself so

-5 -5

then you have 4x=8. you divide by 4 on both sides

4. 4

so then you get x=2

2.So same here find what 3 to the power of 2 is =9

New equation 4x-1=9x+4x-4. Then combine like terms on the right you cant do it on the left because that is a separate part and those dont merge like terms so

9x+4x = 13x

new equation. 4x-1=13x-4

next subtract 4x on both sides

13x-4x=9x

new equation. -1=9x-4

next add 4 to both sides

-1+4= 3

new equation. 3=9x

so then divide 9 on both sides

3÷9= 0.33

x= 0.33

Hope this made sense and helps

Mr Harris had a piece of rope that measured 10 feet. He cut it into 15 equal pieces. How long was each piece?​

Answers

Answer:

I think that it is 8 inches

Step-by-step explanation:

I multiplied 10 times 12 because there is 12 inches in a foot. Then I divided 120 by 8.

I hope this is right

A line's y -intercept is 10,and its slope is 9 . What is its equation in slope-intercept form?

Answers

Answer:

y = 9x + 10

Step-by-step explanation:

y = mx + b

Here, m is slope and b is y-intercept

y = 9x + 10

I need some help please

Answers

Answer:

might be the [tex]\sqrt{74}[/tex] because it equals 8.6 and the missing angle is slightly loger than the 7 butyou never know i might be wrong

Step-by-step explanation:

Answer it fast please​

Answers

Answer:

0.00446

Step-by-step explanation:

We need to find the value of the following expression :

[tex]\dfrac{(\dfrac{95}{17})^{-3}}{(\dfrac{15}{17})^{-2}}[/tex]

We know that, [tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]

So,

[tex]\dfrac{(\dfrac{95}{17})^{-3}}{(\dfrac{15}{17})^{-2}}=(\dfrac{95}{17})^{-3}\times (\dfrac{17}{15})^2\\\\=0.00446[/tex]

So, the value of the given expression is 0.00446.

Solve for x (round to the nearest hundredths of a degree)
PLEASE HELP ME DUE IN A HR

Answers

Answer:

x = 34.85

Step-by-step explanation:

Apply trigonometric ratio formula to find x

Reference angle = x

Side opposite to x = 4

Hypotenuse = 7

Therefore,

Sin x = opp/hyp = 4/7

x = sin-¹(4/7)

x = 34.85° (nearest hundredth)

2 in.
Find the surface
area of this figure.
2 in.
8 in.
[?] square inches
8 in.
5 in.
12 in.
10 in.

Answers

Answer:

528

Step-by-step explanation:

Surface area of bottom block + Surface area of top block - 2(Shared surface area)

Bottom block: 2(10*12) + 2(5*12) + 2(5*10) = 240 + 120 + 100 = 460 square inches

Top block: 2(2*2) + 4(2*8) = 8 + 64 = 72 square inches

Shared surface area = 2*2 = 4 square inches

Plugging into our formula:

460 + 72 - 4 = 528 square inches

The new Samsung 9 phone costs $500, and has a sales tax of 15%. What is the final price?

Answers

Answer:

575

Step-by-step explanation:

500 x .15 = 75

500 + 75 =575

Use the Pythagorean Theorem to find the missing side.
Round to the nearest tenth
10 m
7.5 m

Answers

The fourth one 12.5!

It's self-explanatory, hope this helps!

Mia said that 2 - 3a = 11 and 3a -2 +1 have the same solution. Is she correct? Explain.

Answers

2-3a=11
Minus 2 from both sides
-3a=9
a=-3
3a-3=1
Plus 3 to both sides
3a=4
a=4/3
No

Maggie wants to buy a new energy­efficient refrigerator. Her old refrigerator uses about 1200 kWh per year,while the new one would use about 400 kWh per year. Approximately how much money would Maggie saveper year if she buys the new refrigerator?

Answers

Answer:

800 Kwh

Step-by-step explanation:

To solve this problem, we need to find the difference in energy saved and then multiply by the cost of 1kWh of electricity

How much did Maggie save?

Let's first of all calculate the the difference in energy saved

Data;

old refrigerator = 1200kWhnew refrigerator = 400kWh

[tex]1200 - 400 = 800kWh[/tex]

Maggie would've saved 800kWh in one year.

But since we were not given a standard cost of electricity, we would assume that 1kWh will cost $1.

So, to determine how much she must've saved, we simply multiply $1 by 800kWh

[tex]1 * 800 = $800[/tex]

Using our assumptions, she would've saved $800 in one year.

Learn more on rate of power here;

https://brainly.com/question/14878357

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MIguel is making a trail mix. He Uses five and one third ounces of nuts and two and tree fourths ounces of raisins Which of these is a reasonable estimate for how much more nuts Miguel uses than raisins?
(Keep as a fraction and don’t change to decimal please)

Answers

Answer:

[tex]\frac{31}{12}[/tex] more nuts would be used by Miguel then raisins

Step-by-step explanation:

The computation is shown below:

Nuts used [tex]= 5 \frac{1}{3} = \frac{16}{3}[/tex]

Raisins used [tex]= 2 \frac{3}{4} = \frac{11}{4}[/tex]

Now the difference between them is

[tex]= \frac{16}{3} - \frac{11}{4}\\\\= \frac{64 - 33}{12} \\\\= \frac{31}{12}[/tex]

Hence, [tex]\frac{31}{12}[/tex] more nuts would be used by Miguel then raisins

Pls help I’ll brainlest for the correct answer

Answers

Answer:

3+11a=80

Step-by-step explanation:

3+11a=80

11a=77

a=7

en la tienda la cuquita vende queso cortado en trosos de diferentes pesos calculen presios y pesos para completar la infomacion 3n las etiquetas. 1000g = 1250g= =160.00. = 14.00. 100g= 650g= 6659g= 250g=$150.00. =16.00​

Answers

answer 143.00 Step-by-step explanation:

can anyone give me the answer?

Answers

Answer:

169

Step-by-step explanation:

The square area is 64 and the paralellogram is 105

Add those two: 64+105=169

Will give brainliest

Answers

Answer:

PR= 8

ST=5

Step-by-step explanation:

PQ and PR are congruent so

2x=8

x=4

2*4=8

PR=8

ST and TU are congruent so

5z=2z+3

3z=3

z=1

5*1=5

ST=5

Answer:

PR=8

ST=5

Step-by-step explanation:

PR

QS=SR (marked)

a²=b²+c² (TRIANGLE PQS)

PQ²=PS²+QS²

8²=PS²+SR² (PQ=8, QS=SR)

64=PS²+SR²

a²=b²+c² (TRIANGLE PRS)

PR²=PS²+SR²

(2x)²=64

2x=8

x=4

PR=2x=2(4)=8

ST

a²=b²+c² (TRIANGLE VUT)

VT²=TU²+UV²

VT²=(2z+3)²+UV²

VT²=4z²+12z+9+UV²

a²=b²+c² (TRIANGLE VST)

VT²=VS²+ST²

VT²=VS²+25z²

4z²+12z+9+UV²=VS²+25z²

21z²-12z-9=0

7z²-4-3=0

(7z+3)(z-1)=0

z=-3/7 or z=1

cant be neg, z=1

ST=5(1)=5

Determine if the equation has the same slope as the equation
y = 2r - 4.
1. y = 2x + 4
2. y = -2x + 3.3. y = 4x - 2
4.3x - 4
Graph each equation using the slope and the y-intercept.

Answers

Answer:

Step-by-step explanation:

only y=2x+4 has the same slope as y=2x-4

slope=2

For each expression, select all equivalent expressions from the list 1. 24x - 18 A. 6(4x -3) B. 6 C. 4(6x - 4) D. 12x - 9​

Answers

23/3+1=5 so I hope this help

Answer:

A

Step-by-step explanation:

PLEASE HELP WILL GIVE LOTS OF POINTS & BRAINLY!!

Answers

Answer:

the amplitude is 5

the period is 4 pi

Step-by-step explanation:

True or false?

The length of the intercepted arc is equal to the circumference of the circle.

Answers

Answer:

True

Step-by-step explanation:

i’m sure the arc is just a piece of the circumference so false

Which is Q=200p/L solved for p

Answers

Answer:

P = QL/200

Step-by-step explanation:

Answer:
P= QL/200
Step by step explanation:

PLS HELP Does the following table of values represent an exponential function?

Answers

Yeah it does. :)) hope this answered ur question.
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