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ELEN [110]
3 years ago
6

A prince picked a basketful of golden apples in the enchanted orchard. On his way home, he was stopped by a troll who guarded. T

he troll demanded payment of 1/2 of the apples plus two more. The prince gave him the apples and set off. A little further on, he was stopped by a second troll guard who demanded a payment of 1/2 of the apples the prince now had plus two more. The prince paid and set off again. Just before leaving the orchard, a third troll stopped him demanding 1/2 of his remaining apples plus two more. Sadly, the prince paid him and went home. He had only two golden apples left. How many apples had he picked?
Mathematics
2 answers:
Llana [10]3 years ago
4 0

Answer:

44.00

Step-by-step explanation:

Number of Apple's left after meeting 1st troll

Y = z - (1/2z + 2)

Y =1/2z - 2 ...equ1

Number of Apple's left after meeting 2nd troll = D

D = Y - (1/2Y + 2)...equ2

Sub Y into equ 2

D = 1/4 z -3

Equation of Apple's left after meeting 3rd troll

2 = D - (1/2 D + 2)...equ 3

Sub D into equ3

2 = 1/8 z - 3 +(3/2) -2

2 = 1/8z - 5 + (3/2)....Equation 4

Multiply equ4 by 8

16 = z - 40 + 12

Z = 44.00 apples

Lelu [443]3 years ago
3 0

Answer:

Let x = total number of apples picked by the prince

x=44

Step-by-step explanation:

1st troll payment

x-(0.5x+2)

x-0.5x-2

0.5x-2 (that is the amount of apples left after 1st troll payment)

2nd troll payment

(0.5x-2)-(0.5(0.5x-2)+2)

Simplifying,

(0.5x-2)-(0.25x-1+2)

(0.5x-2)-(0.25x+1)

0.5x-2-0.25x-1

0.25x-3 (apples remaining after 2nd troll payment)

3rd troll payment

(0.25x-3)-(0.5(0.25x-3)+2)=2

(0.25x-3)-(0.125x-1.5+2)=2

(0.25x-3)-(0.125x+0.5)=2

0.25x-3- 0.125x-0.5=2

0.125x-3.5=2

0.125x =2+3.5

0.125x=5.5

x=5.5/0.125 (divide both sides by 0.125)

=44 apples

Therefore total number of apples picked by the prince, x=44

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Answer:

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Step-by-step explanation:

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3 0
3 years ago
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2. Tomás compró una bicicleta en $199.900. Primero, canceló la mitad y el resto en 7 cuotas de igual valor, con un interés total
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Answer:

Cada cuota tendrá un valor de $14,850.

Step-by-step explanation:

Dado que Tomás canceló la mitad del valor de la bicicleta, la cual costaba $199.900, el valor pagado al inicio fue de $99,950 (199,900 / 2).

Luego, para el valor restante, Tomás suscribió a una financiación con un interés de $4,000, elevando el monto a pagar a $103,950, pagaderos en 7 cuotas. Por lo tanto, dichas cuotas tendrán cada una un valor de $14,850 (103,950 / 7).

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3 years ago
15. A cylindrical glass 10 cm tall and 8 cm in diameter is filled to 1 cm
ANTONII [103]

Answer:

No. The new height of the water is less than the height of the glass(6.33 cm<10 cm)

Step-by-step explanation:

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#Volume of the golf ball:

V=\frac{4}{3}\pi r^3\\\\=\frac{4}{3}\pi \times 4^3\\\\\approx 268.08\ cm^3

#The volume of the water in the glass:

V=\pi r^2 h\\\\=\pi \times 4^2\times 10\\\\\approx 50.27\ cm^2

We then equate the two volumes to the glass' volume to determine the new height of the water:

V=\pi r^2h\\\\(206.08+50.27)=\pi r^2 h\\\\h=318.35/(\pi \times 4^2)\\\\=6.33\ cm

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3 years ago
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5/16m long.

Step-by-step explanation:

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2 years ago
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Answer:

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