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Mademuasel [1]
3 years ago
6

Solve 15(1/3b+3) ≤ 6(b+9).

Mathematics
1 answer:
alexgriva [62]3 years ago
6 0

Answer:

15(1/3b+3)≤6(b+9)

3b+3×15(1/3b+3)≤3b+3×6(b+9)

15≤3b+18(b+9)

15≤3b+18(b+9)

15≤21b+162

162-15≤216

147≤216

147/21≤b

7≤b

b≤7

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As you might know from reading the Harry Potter books, wizarding money comes in three denominations: bronze Knuts, silver Sickle
Nina [5.8K]

Answer:

Minimun amount = $95,48

Step-by-step explanation:

We need to buy the book that costs 12 galleons, 16 sickles, 25 knuts.

At the bank we need to exchange our dollars. We know that:

1 galleon = $7,35

And:

1 galleon = 17 sickles

1 sickle = 29 knuts

First we use a rule of three to convert everything to galleons:

1 galleon = 17 sickles ⇒ 1 sickle = 1/17 galleons

\frac{1 galleon}{x}=\frac{17 sickles}{1 sickle}

x=\frac{1}{17} sickles

1 sickle = 1/17 galleons = 29 knuts ⇒ 1 knut = 1/493

\frac{1/17 galleons}{x}=\frac{29 knuts}{1 knut}

x=\frac{1}{493} galleons

And now we need to convert every wizarding money to dollars by using our reference above:

1 galleon = $7,35

1 sickle = 1/17 galleons = $7,35 / 17 ≅ $0,4323

1 knut = 1/493 galleons = $7,35 / 493 ≅ $0,0149

Finally we calculate the cost of the book:

Galleons: 12 x $7,35 = $88,2

Sickles: 16 x $0,4323 = $6,91

Knuts: 25 x $0,0149 = $0,37

Cost of the book = $88,2 + $6,91 + $0,37 = $95,48

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8 0
3 years ago
I need help - Geometry - 15 points + brainlyist - 1 question -
lara [203]

Answer:

120 = (15 + 22)x + 4 + 5 \\ 120 - 9 = 37x \\ 111 = 37x \\ x = 111 \div 37 = 3 \\

15x + 5 = 3 \times 15 + 5 = 50

8 0
3 years ago
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Pls pls, pls help me with my math
nata0808 [166]

Answer:

<em>C. 94</em>

Step-by-step explanation:

Take in account for PEMDAS: Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.

First is to find the answer within the innermost parenthesis:

(4²+1).

Find the exponent of 4², which is 16, leaving you the equation of

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Next you multiply 3 by 17 (since the parenthesis of 17 borders 3):

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Next, multiply 51 by 2 (same rule as 3×17).

51×2=102.

After this you get 102-2³. Now, find 2³=2×2×2=8

This gets you to 102-8, ending up with your answer of 94.

5 0
2 years ago
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