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Furkat [3]
2 years ago
12

2. How can Diego package all the 64 cookies so that each bag has the same number of them? How many bags can he make, and how man

y cookies will be in each bag? Find all the possible ways to package the cookies.
:
Mathematics
1 answer:
Readme [11.4K]2 years ago
7 0
Divide 64 by multiple numbers, and if they divide evenly that’s how many will be in each bag for the number of bags (number you divided by). For example, dividing 64 by 8 (bags) would be 8 cookies in each bag. You can do this with multiple numbers as long as it goes in evenly
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A group of roommates decide to split the cost of a new sofa. If s is the cost of the sofa and n is the number of roommates, the
tiny-mole [99]
B. $238.75 because $955 divided by 4 is $238.75
6 0
3 years ago
Read 2 more answers
Tell which set or sets the number below belongs​ to: natural​ numbers, whole​ numbers, integers, rational​ numbers, irrational​
Alexus [3.1K]

Answer:

<h3>Rational numbers</h3>

Step-by-step explanation:

A rational number is a number that can be written as a ratio of two integers. The are expressed as fractions. Given the value 8/9, this value is a fraction and is written as a ratio of two integers 8 and 9.

The value is neither a real number, nor an integer because integers and whole numbers are not expressed as fractions.

Natural numbers are also whole numbers starting from 1 and above. Hence 8/9 is not a natural number as well.

Note that irrational numbers are also classified as real numbers and they can not be written as a ratio of two integers.

Conclusively, 8/9 is only classified as a rational number

6 0
2 years ago
1. De una encuesta realizada a 120 personas sobre el consumo de albaricoque, banana y coco se obtuvieron el siguiente resultado.
Pachacha [2.7K]

Answer:

El número de personas que consumen dos productos es 30.

Step-by-step explanation:

El primer paso para resolver el problema es realizar los gráficos de los eventos (agregaré como archivo adjunto el gráfico del ejercicio).

En el gráfico podemos ver 7 regiones :

A : Personas que consumen sólo albaricoque.

B : Personas que consumen sólo banana.

C : Personas que consumen sólo coco.

D : Personas que consumen sólo albaricoque y coco.

E : Personas que consumen las tres frutas (albaricoque, banana y coco).

F : Personas que consumen sólo banana y coco.

G : Personas que consumen sólo albaricoque y banana.

Ahora, debemos escribir las ecuaciones que nos brinda el ejercicio :

La encuesta se realizó a 120 personas y se sabe que todas las personas consumen un producto ⇒

A+B+C+D+E+F+G=120 (I)

''El número de personas que consumen sólo albaricoque y coco es la mitad de las que consumen sólo albaricoque''  ⇒

D=\frac{A}{2} (II)

''El número de personas que consumen sólo banana es el doble de las personas que consumen sólo albaricoque y banana más sólo banana y coco'' ⇒

B=2.(G+F) (III)

Finalmente : ''El número de personas que consumen sólo coco más los que consumen los tres productos es 30''  ⇒

C+E=30 (IV)

Finalmente obtenemos el siguiente sistema de ecuaciones :

A+B+C+D+E+F+G=120\\D=\frac{A}{2}\\B=2.(G+F)\\C+E=30

El número de personas que consumen dos productos es :

D+F+G

Entonces, resolvemos escribiendo la primera ecuación conmutando los términos :

A+B+C+E+D+F+G=120 (V)

De (II) se obtiene :

2D=A (VI)

Usamos (VI), (III) y (IV) en (V) ⇒

2D+2(G+F)+30+D+F+G=120  ⇒

2D+2G+2F+30+D+F+G=120

3D+3F+3G=90

Dividiendo esta última ecuación por ''3'' obtenemos :

D+F+G=30

Que es el número de personas que consumen dos productos.

Es muy conveniente seguir el desarrollo del ejercicio mirando el gráfico que adjunto.

8 0
2 years ago
The sum of three numbers is 26. Twice the first minus the second is the third less 2. The third is the second minus 3 times the
Agata [3.3K]

Let a, b, c represent the three numbers. The problem statement gives rise to three equations:

  • a +b +c = 26
  • 2a -b = c -2
  • -3a +b = c

Adding the first two equations gives

... (a +b +c) +(2a -b) = (26) +(c -2)

... 3a +c = 24 +c . . . . . simplify

... 3a = 24 . . . . . . . . . . subtract c

... a = 8 . . . . . . . . . . . . divide by 3

Adding the second and third equations gives ...

... (2a -b) +(-3a +b) = (c -2) +(c)

... -a = 2c -2 . . . . simplify

... -6 = 2c . . . . . . add 2, substitute for a

... -3 = c . . . . . . . . divide by 2

Using the third equation we can find b.

... -3·8 +b = -3 . . . . substitute for a and c

... b = 21 . . . . . . . . .add 24

The numbers are 8, 21, -3.

_____

The method above is sort of "ad hoc", taking advantage of the numbers in this particular set of equations. You can use more formal methods of Gaussian elimination or Cramer's Rule to solve these by just following a procedure. Or, your graphing calculator can do it for you.

6 0
3 years ago
2x + 3 &gt; 13<br> x= 0<br> is this true?<br> O True<br> O False
omeli [17]

False.

Replace x with 0 and solve:

2(0) + 3 = 0+ 3 = 3

3 is not greater than 13 so the answer is false.

5 0
2 years ago
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