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2 years ago

Please simplify -8(-3a-2)

Mathematics

2 answers:

muminat2 years ago

6 0

Answer:

=24a+16

Step-by-step explanation:

Let's first take our problem-

−8(−3a−2)

Simplify -

=(−8)(−3a+−2)

=(−8)(−3a)+(−8)(−2)

And you get your answer-

=24a+16

Misha Larkins [42]2 years ago

4 0

Answer: 24a+16

Step-by-step explanation:

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Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from B, a distance o

g100num [7]

Answer:

The value is $k =109.6 \ miles$

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

The distance from city A to B is AB = 467.3 miles

The bearing from B to C is $\theta_{BC} = N 28.7E$

The bearing from B to A is $\theta_{BA} = N 60.7E$

The bearing from A to B is $\theta_{AB} = S60.7W$

The bearing from A to C is $\theta_{AC} = S79.1W$

Generally from the diagram

$\theta_A = 180 - 60.7 -79.1$

=> $\theta_A = 40.2 ^o$

Also

$\theta_B = 32^o$

and

$\theta_C = 180 - (\theta_A +\theta_B )$

=> $\theta_C = 180 - (40.2 + 32 )$

=> $\theta_C = 107.8 ^o$

Generally according to Sine Rule

$\frac{BC}{sin (\theta_A)} = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}$

=> $\frac{BC}{sin (40.2)} = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}$

$\frac{BC}{sin (40.2)} = \frac{467.3 }{sin (107.8)}$

=> $BC = 316.8 \ miles$

Also

$\frac{CA}{sin (32)} = \frac{467.3 }{sin (107.8)}$

$CA = 260 .1 \ miles$

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as

$k = [CA +BC] - AB$

=> $k = [260 .1 +316.8]- 467.3$

=> $k =109.6 \ miles$

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sam paid $20 for two t-shirts. the price for each t-shirt was a multiple of 5. what are the possible prices of the t-shirts?

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3 years ago

A flight averages 460 mph. The return flight averages 500 mph due to tailwind. The total flying time is 4.8 hours how long is ea

Nesterboy [21]

We know that time is distance over velocity, that is:

time = distance / velocity

t = d / v

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Now we can find for d:

d = 4.8 / [1/460 + 1/500]

d = 1150 miles

So the time of each flight is:

flight = 1150 / 460 = 2.5 hours

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