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3 years ago

12

How many times does 54 go into 186?

1 answer:

podryga [215]3 years ago

3 0

The way you do this is you say 186÷54=3.4 recurring

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Solve the inequality 5(2x + 1) < 10.<br> х< 1/2<br> x> 1/2<br> х< 3/2<br> x> 3/2

Maurinko [17]

Answer:

x < 1/2

Step-by-step explanation:

5(2x + 1) < 10

Divide each side by 5

5/5(2x + 1) < 10/5

2x+1 < 2

Subtract 1 from each side

2x+1-1 < 2-1

2x <1

Divide each side by 2

2x/2 <1/2

x < 1/2

4 0

2 years ago

Read 2 more answers

Solve |3k-2|=2|k+12|

Stella [2.4K]

Answer:

$k = 26$ or $k = -\dfrac{22}{5}$

Step-by-step explanation:

|3k - 2| = 2|k + 12|

$\dfrac{|3k - 2|}{|k + 12|} = 2$

$|\dfrac{3k - 2}{k + 12}| = 2$

$3k - 2 = 2(k + 12)$ or $3k - 2 = -2(k + 12)$

$3k - 2 = 2k + 24$ or $3k - 2 = -2k - 24$

$k = 26$ or $5k = -22$

$k = 26$ or $k = -\dfrac{22}{5}$

7 0

3 years ago

Laura drank 1/3 quart of milk with breakfast, 1/4 quart of milk with lunch, and 1/6 quart of milk with dinner. How much milk did

cluponka [151]

Answer:

9/16 quarts of milk

Step-by-step explanation:

1/3 + 1/4 + 1/6

8/24 + 6/24 + 4/24

18/24 = 9/16 qts.

Your welcome!

Kayden Kohl

8th Grade Student

3 0

2 years ago

Can someone pls help me?<br> Determine the measures of the unknown angles in the<br> figure below.

IceJOKER [234]

Answer:

x= 127

w = 53

Step-by-step explanation:

7 0

2 years ago

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

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

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

So

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

=> $BC = 316.8 \ miles$

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

$k = [CA +BC] - AB$

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

=> $k =109.6 \ miles$

4 0

2 years ago