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3 years ago

Divide 54 into two parts so that four times the greater equals five time the less

1 answer:

5 0

Let the both the parts be 'x' and 'y'
x>y
We know that 4x = 5y
so x = 5y/4
x + y = 54
Replacing x we get
(5y/4) + y = 54
(5y +4y)/4 = 54
9y = 216
y = 24
Replacing y in ' x+y = 54'
we get x = 30

Hence the larger part is 30 whereas the smaller part is 24

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Para festeja su cumpleaños,Nancy compró 15 paquetes de pizzetas. Si cocinó 288 pizzetas, cuántos paquetes completos le quedaron?

Lorico [155]

Answer:

Nancy consumió 12 paquetes de pizzetas y le quedaron 3 paquetes completos.

Step-by-step explanation:

En primer lugar, debemos descomponer el número total de pizzas como una multiplicación de números primos. Al realizar la descomposición factorial tenemos que:

$288 = 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3$

Entonces, los familia de divisores de 288 es el siguiente conjunto:

$D_{288} = \{2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144 \}$

Si tanto la cantidad de paquetes de pizzetas y la cantidad cocinada de pizzetas son números enteros y positivos, siendo la última mucho mayor. Entonces, la cantidad de pizzetas debe ser un número entero y la cantidad de paquetes gastados menor a la cantidad de paquetes comprados y el número entero más cercano a esa cantidad. Entonces, concluimos que Nancy se gastó 12 paquetes de pizzetas, quedándole 3 paquetes completos.

6 0

3 years ago

Select all the ordered pairs that make this statement true?

Ierofanga [76]

Answer: (24,-9)

(0,9)

(4,6)

Step-by-step explanation:

3x + 4y = 36

Using (3,-2) will be:

= 3(3) + 4(-2)

= 9 - 8 = 1

Using (1,7) will be

= 3(1) + 4(7)

= 3 + 28 = 31

Using (0,0) equals to 0

Using (24,-9) will be:

= 3(24) +4( -9)

= 72 - 36 = 36

Using (0,9) will be:

= 3(0) + 4(9)

= 0 + 36 = 36

Using (4,6) will be:

3(4) + 4(6)

= 12 + 24

= 36

Using (-12,18) will be:

= 3(-12) + 4(-18)

= -36 - 72

= -108

The correct options are (24,-9), (0,9 and (4,6)

5 0

3 years ago

I need help very bad please. You guys can do any questions just tell me the number

Andrews [41]

Question 10: P=28cm

if l=8 and w=6

Then (8+6)=14
2(14) so 14x2 = 28
So therefore P=28cm

6 0

3 years ago

Is 36 a factor. yes or no

Leona [35]

Yes because 6x6 is 36

7 0

3 years ago

Read 2 more answers

Please help

Kamila [148]

Answer:

Step-by-step explanation:

because b - 30 = s your buying something and subtacting from the money you had before

6 0

3 years ago

Divide 54 into two parts so that four times the greater equals five time the less​

Divide 54 into two parts so that four times the greater equals five time the less