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Inga [223]
3 years ago
6

2(3x - 4) + 10 = 5(x + 4)solving equations from book (geometry common core)​

Mathematics
1 answer:
Aleks [24]3 years ago
7 0

Answer:

x = 18

Step-by-step explanation:

Given

2(3x - 4) + 10 = 5(x + 4) ← distribute parenthesis on both sides

6x - 8 + 10 = 5x + 20, that is

6x + 2 = 5x + 20 ( subtract 5x from both sides )

x + 2 = 20 ( subtract 2 from both sides )

x = 18

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Element X decays radioactively with a half life of 11 minutes. If there are 870 grams
exis [7]

Answer:

27.5 minutes

Step-by-step explanation:

Using,

R/R' = 2ᵃ/ᵇ------------------ Equation 1

From the equation,

R = mass of Element X before radioactive decay, R' = mass of element X after radioactive decay, a = Time taken, b = half life.

Given: R = 870 grams, R' = 154 grams, b = 11 minutes.

Substitute these values into equation 1

870/154 = 2ᵃ/¹¹

(870/154)¹¹ = 2ᵃ

Solve for a

2ᵃ = (5.649)¹¹

2ᵃ = 187061.26

Taking the logarithm of both side,

Log2ᵃ = Log(187061.26)

⇒ a = log(187061.26)/log2

a = 8.272/0.301

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3 years ago
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3 years ago
Marlo buys 6 feet of ribbon to make bracelets. She needs 18 inches of ribbon to make 1 bracelet. How many bracelets can Marlo ma
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Answer:

4

Step-by-step explanation:

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