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krek1111 [17]
3 years ago
6

I will give you branilest!

Mathematics
1 answer:
sweet [91]3 years ago
8 0

We are given relation between distance( in kilometers) travelled and number of hours taken by an Albatross bird.
Distance in kilometers taken by variable d.
Number of hours by t.
And situation is given d=50t.
We know, direct relation formula y= kx read as y is directly proportional to x. And k is the constants of proportionality.
In the given fuction y is taken by variable d and x is taken by variable t.
If we compare d=50t by y = mx, the value of k is 50.
Therefore, constant of proportionality is 50.
Constant is a number that never change it's value.
Therefore, constant of proportionality is just 50.
But we can say variables d and t are two variables those are directly proportional to each other.
Constant of proportionality is actually unit rate of change.
For the given situation constant of proportionality is the number of km travelled in per unit time (in 1 hour.)
If we divide 400km 8 hours, we get 400/8 = 50 km per hour.
Therefore, variables of proporation are d and t and relation between them is " they are directly proportional to each other".
And the constants of proportionality is just 50.
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Which answer is the best explanation for how to check to see that the difference has been calculated correctly for this problem?
scoundrel [369]
A. No, because if you add 76.5 and 4.32, you'll get 80.82 instead of 72.18.

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4 0
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14 and 15 please thank you
Elanso [62]

Problem 14

<h3>Answer: They bought <u>too much</u> sand</h3>

-----------------------

Explanation:

Because the sandbox is a rectangular prism, aka a block, we multiply the length width and height to get the volume.

Volume = length*width*height = 6*5*1.2 = 36

The volume of the sandbox is 36 cubic feet.

The customer bought 40 cubic feet of sand, which exceeds the volume we computed earlier. The customer bought <u>too much</u> sand.

If it was a choice of buying too much or too little, I think it's better to go overboard just so you don't have to return to the store. The extra amount of sand (40-36 = 4 cubic feet) can possibly sold or donated at a later time.

==========================================================

Problem 15

<h3>Answers:</h3>
  • The equation could be 306.52 = 19.4h or  19.4h = 306.52
  • Either equation mentioned solves to h = 15.8; so the height of the prism is 15.8 meters

-----------------------

Explanation:

The rectangular prism formula to calculate the volume is

Volume = length*width*height

Note that the portion "length*width" can be replaced with "base area", because the base area is a rectangle.

So we can have this alternative formula

Volume = (base area)*height

If we know the area of the floor, and multiply by the height of the wall, then we can calculate the volume of a room like this. In this case, the floor is 19.4 square meters in area. The overall room is 306.52 cubic meters. We'll let h be the height of the wall. Use algebra to solve for h

Volume = (base area)*height

306.52 = 19.4h .... is one equation to set up

19.4h = 306.52

h = 306.52/19.4

h = 15.8

We divide both sides by 19.4 to undo the multiplication going on.

The height of the prism is 15.8 meters.

6 0
3 years ago
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