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USPshnik [31]
3 years ago
8

A motorist travels 406 km during a 7 hr period. What was the average speed in km/hr and m/s?

Mathematics
1 answer:
aalyn [17]3 years ago
4 0

Answer:

The answer is:

58 km/hr

16.1 m/s

Step-by-step explanation:

406 km in 7h

x km  in 1h

x= 1 x 406/7

x= 58 km/hr


58 km/hr ⇒⇒⇒⇒⇒⇒ 16.1 m/s

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You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 1536cm3. Deter
Katen [24]

Answer:

The dimensions of the box are:

Length = 11.53cm

Breadth = 11.53cm

Height = 11.53cm

Step-by-step explanation:

The volume of the box can be calculated with this formula:

The volume of the box = area of square base X height of the box.

We are given that the length of one side of the square base is = x cm, and its height is h cm.

Area of square base = x^{2}cm^{2}

The surface area of the box will be minimized if the height of the box, is the same as its length. hence, we can take the height of the box to be x cm also.

In this case, the volume of the box will be x^{3}=1536cm^{3}

from this, x =3\sqrt{1536}= 11.53cm

There fore, the box has its length, height, and width all having the same values.

The dimensions of the box are:

Length = 11.53cm

Breadth = 11.53cm

Height = 11.53cm

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3 years ago
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To decorate a cake, you make a shade of green icing using 33 drops of yellow food coloring for every 44 drops of blue food color
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gogolik [260]

325*89.1

Let's decompose this into:

325 = 300 + 25

89.1 = 80 + 9 + 0.1

Then we have the multiplication:

(300 + 25)*(80 + 9 + 0.1)

Let's distribute the multiplication:

300*80 + 300*9 + 300*0.1 + 25*80 + 25*9 + 25*0.1

So now we have 6 multiplications that are a lot easier to solve than the initial one that we had.

Then the list of six multiplications involved in solving this problem are:

300*80 = 24,400

300*9 = 2,700

300*0.1 = 30

25*80 = 2,000

25*9 = 225

25*0.1 = 2.5

Now we add all of those and get:

325*89.1 = 24,400 + 2,700 + 30 + 2,000 +  225 + 2.5 = 28,957.5

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