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7nadin3 [17]
2 years ago
11

Solve for a.

Mathematics
2 answers:
FinnZ [79.3K]2 years ago
8 0

Answer:

iii) a=3b/2

Step-by-step explanation:

7a-2b= 5a+b

7a-5a=2b+b

2a=3b

a=3b/2

pychu [463]2 years ago
8 0

Answer:

\large\boxed{a=\dfrac{3b}{2}=\dfrac{3}{2}b=1.5b}

Step-by-step explanation:

7a-2b=5a+b\qquad\text{add}\ 2b\ \text{to both sides}\\\\7a-2b+2b=5a+b+2b\\\\7a=5a+3b\qquad\text{subtract}\ 5a\ \text{from both sides}\\\\7a-5a=5a-5a+3b\\\\2a=3b\qquad\text{divide both sides by 2}\\\\\dfrac{2a}{2}=\dfrac{3b}{2}\\\\a=\dfrac{3b}{2}

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A certain type of plywood consists of six layers. The thickness of the layers are independent and normally distributed with mean
Ira Lisetskai [31]

Answer:

a.) The mean of the six layered plywood is 30 mm

    The standard deviation is 0.49 mm

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Step-by-step explanation:

There are six layers in a plywood that is considered. It is also given that the layers are independent and normally distributed.

The thickness of the layers of the plywood have a mean, \mu = 5 mm

and a standard deviation, \sigma = 0.2 mm.

a.) Therefore the mean of the six layered plywood is = 6\mu

                                                                                   = 6 × 5 mmm

                                                                                   = 30 mm

 The standard deviation of the six layered plywood = \sqrt{6 \sigma^{2} } = \sqrt{6 \times (0.2)^2} = 0.49 mm

b.) We are given to find that the probability of the plywood is less than 28 mm thick.

   P( thickness < 28 mm)

   P( Z < \frac{(28 - 30)}{0.49})       =  P(Z < (\frac{-2}{0.49} ))        ⇒       P( Z < -4.082) = 0.000022

8 0
2 years ago
Last weekend, Lena worked 7.5 hours on Friday, 9.75 hours on Saturday, and 6.25 hours on Sunday.
Gemiola [76]

Answer:202.1

Step-by-step explanation:

Add all the days she worked up (7.5+9.75+6.25) =23.5

Now simply just multiply it with 8.60 and you get your answer

Hope this helps :)

3 0
2 years ago
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Nadusha1986 [10]

Answer: a) \frac{24}{5}t gallons are needed to travel 8 miles

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Given : Gasoline used to travel 5 miles = 3t gallons

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Using unitary method:

If Gasoline used to travel 5 miles = 3t gallons

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b) when 3t gallons of gasoline are used , distance covered = 5 miles

Thus when 9t gallons of gasoline are used , distance covered = \frac{5}{3t}\times 9t=15 miles

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2 years ago
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storchak [24]
The nth term is 6n^2-11n+16
6 0
2 years ago
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