tengo cierta cantidad de caramelos . si los agrupo de a 3 me sobran dos, de a 4 me sobra uno y de a 5 no me sobra ninguno . cuantos caramelos puedo tener ? ? ayuda

Answer:

42

Step-by-step explanation:

Find the prime factorization of 126

126 = 2 × 3 × 3 × 7

Find the prime factorization of 420

420 = 2 × 2 × 3 × 5 × 7

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 3 × 7

GCF = 42

The highest common factor HCF of 126 and 420 is 42

The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF

Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers

Product of HCF x LCM = product of two numbers

Given data ,

Let the HCF of the two numbers be represented as n

The value of n is

Let the first number be p = 126

Let the second number be q = 420

The factors of 126 = 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

The factors of 420 = 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20 , 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210 and 420

So , the highest common factor of the two numbers 126 and 420 is 42

Therefore , the value of n = 42

Hence , the HCF is 42

To learn more about LCM and HCF click :

https://brainly.com/question/20049151?

#SPJ2

the first one is the answer to #1

and the second one is the answer to #2

Answer:

1.2

Step-by-step explanation:

I am just writing this sentence to get the required amount of characters.

Answer:

You split it into two parts then add them

Step-by-step explanation:

Answer:

Triangle y = 7

Triangle x = -3

Slope = - 7/3

Step-by-step explanation:

Formula:

slope (or m) = (y2 - y1)/(x2 - x1)

Plug numbers into formula

m = 8 - 1 / 4 - 7

m = 7 / -3

Cannot be simplified further

Slope = - 7/3

The triangle before y is asking for the difference, meaning what number do you get after taking y2 (8 in this problem) and subtracting y1 (1 in this problem) from it.

8 - 1 = 7 which forms the numerator for our slope

The same goes for the triangle before x. Find the difference

x2 - x1 = 4 - 7 = -3. This forms the denominator of our slope

Answer:

Q1) The actual distance is 2400 km.

Q2) 1:5000000

Answer:

2

Step-by-step explanation:

the points for g is -4,0 and x is 4,2 so... yea 2

Answer:

Step-by-step explanation:

I don't know what the first graph is for. It obviously isn't the graph of g(x).

In the second graph, f(x) and g(x) intersect when x=4

Answer:

Revenue: $14

Profit: $4

Step-by-step explanation:

Hope this helps!

A brainlist would be appreciated! I'm almost an expert!

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the linear equation in two variables.

So we have to form two equations to solve this.

Let the number of children be 'x' and number of adults be 'y'.

hence, we get as,

x+y = 630 ..... (1)

and also, to their total cost spending, we get as,

1.5x + 2.25y = 1170 ...... (2)

solving (1) and (2) we get as,

Number of children were = 330

and Number of Adults were = 300

(Solved in the attachment)

Answer:

[tex]q = 16\sqrt{2}, r = 16[/tex]

Step-by-step explanation:

Use proportions for 45-45-90 triangle.

Answer:

Step-by-step explanation:

Use proportions for 45-45-90 triangle.

Answer:

6[tex]\sqrt{5}[/tex]

Step-by-step explanation:

I'm assuming you are referring to the Pythagorean Theorem, which has the equation [tex]a^{2} +b^{2} =c^{2} \\[/tex]

b=12 c=18

[tex]a^{2} +12^{2} =18^{2}[/tex]

[tex]a^{2}+144=324[/tex]

[tex]a^{2} =180[/tex]

a=[tex]\sqrt{180}[/tex]

a=[tex]6\sqrt{5}[/tex]

Answer:

The population is incresing by 97% per year

and

The population size was initially around 312

Answer:

It's the 1st, and the 2nd one.

Step-by-step explanation:

Have a good day!

Answer:

Step-by-step explanation:

21 because x= tend + lHk

Answer:

88

Step-by-step explanation:

X° + 116° = 180°(sum of opposite angle of a quadrilateral in circle is equal 180 °)

x°=180-116

x°=64°

therefore

A=(2(64)-40)

A=88°

Answer:

numerator is 1

denominator is 25

hope my ans helps

pls mark my ans as brainlist

be sure to follow me and I will follow u back

stay safe

Answer: The number is 1

Step-by-step explanation:

5x + 7 = 9x + 3

5x + 7 - 5x = 9x - 5x + 3

7 = 4x + 3

7 - 3 = 4x + 3 - 3

4 = 4x

x = 1

Check work:

5(1) + 7 = 12

9(1) + 3 = 12

It works

Step-by-step explanation:

Given

Equation of line is [tex]y=2x[/tex]

Equation of line with slope m and intercept c on Y-axis is

[tex]y=mx+c[/tex]

Comparing the given line with slope-intercept form

[tex]\Rightarrow m=2\ \text{and}\ c=0[/tex]

The slope is also equal to [tex]\tan \theta[/tex]

[tex]\Rightarrow \tan \theta =2\\\Rightarrow \theta =63.43^{\circ}[/tex]

To sketch the equation of [tex]y=2x[/tex]

Answer:

360 miles

Step-by-step explanation:

The unit rate here is (240 miles) / (2 hours), or 120 mph.

In 3 hours the vehicle travels (120 mph)(3 hrs) = 360 miles

Answer:

360

Step-by-step explanation:

240/2 =120 So, you want to add 120 to 240 to get 360.

Answer:7 is the exponent

Step-by-step explanation:

Answer:

[tex]6^7[/tex]

Step-by-step explanation:

Exponents can be expressed through repeated multiplication, meaning that the amount of times one number is being repeated, would be the same amount as put in an exponent. Therefore :

6 * 6 * 6 * 6 * 6 * 6 * 6

6 is being repeated, therefore it's the constant.

6 is repeated 7 times, therefore the exponent is 7.

[tex]6^7[/tex]

Answer:

3,375 chairs

Step-by-step explanation:

The weight of 25 folding chairs is 15 kg

Number of folding chairs : weight

= 25 : 15

How many chairs can be loaded on a truck having a capacity of

carrying 2025 kg load?

Let number of folding chairs = x

Number of folding chairs : weight = x : 2025

Equate both ratios

25 : 15 = x : 2025

25/15 = x/2025

Cross product

25 * 2025 = 15 * x

50,625 = 15x

x = 50,625/15

x = 3,375

Number of folding chairs = 3,375 chairs

Answer:

C

Step-by-step explanation:

From the given table, we can calculate the earnings of Melissa.

4 hours' work makes 36 dollars

1 hour work makes=36×1/4=9 dollars

Melissa makes 9 dollars per hour.

Holli makes 8.25 dollars per hour.

So, Melissa makes more money.

9-8.25=0.75

Melissa earns 0.75 dollars more than Holli.

So, the answer is C.

Answer:

6

Step-by-step explanation:

let’s start with putting the unknown to x, in this case it is the number.

5x-5=7+3x, so now we just solve this equation.

5x-3x=7+5

2x=12

x=6

Answer:

AC ≈ 11.3 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin23° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{29}[/tex] ( multiply both sides by 29 )

29 × sin23° = AC , then

AC ≈ 11.3 cm ( to 3 significant figures )