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Elena L [17]
3 years ago
14

There are white, blue, and red boats in a marina. Three-fourths of the boats in the marina are white, 4/7 of the remaining boats

are blue, and the rest are red. If there are 9 red boats, how many boats are in the marina
Mathematics
1 answer:
insens350 [35]3 years ago
8 0

Answer:

There are 84 total boats.

Step-by-step explanation:

In order to find this, we first need to find the fraction which are red. We can do this by multiplying the whole by how many are not white.

1 * 1/4 = 1/4

Now we take that amount and multiply it by the amount that are not blue of the remaining.

1/4 * 3/7 = 3/28

Now that we have this, and we know this is 9 boats, we can divide 9 by this fraction and it will give us the total number of boats.

9 ÷ 3/28 = 84

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If point M was located at (4, -2) and was
Llana [10]

Answer:

The rule to calculate the dilation by a scale factor 1/3 centered at the origin

(x, y) → (3/2x, 3/2y)

Hence, option D is correct.

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

  • If the scale factor > 1, the image is enlarged
  • If the scale factor is between 0 and 1, it gets shrunk
  • If the scale factor = 1, the object and the image are congruent

The coordinates of the image can be determined by multiplying the coordinates of the original point by a given scale factor.

Given that the point M was located at (4, -2) and was dilated to M'(6,-3).

It means if we multiply the coordinates of the original point M(4, -2) by 3/2, we get the image point M'(6, -3).

i.e.

M(4, -2) → M'(3/2(4), 3/2(-2)) → M'(6, -3)

In other words, the image M'(6, -3) is obtained after the dilation by a scale factor 3/2 centered at the origin.

Therefore,

The rule to calculate the dilation by a scale factor 1/3 centered at the origin

(x, y) → (3/2x, 3/2y)

Hence, option D is correct.

5 0
2 years ago
Two consecutive numbers that lie between 2 and 3
Anna35 [415]

Answer:

-2, -1 , 0 , and 1

Step-by-step explanation:

6 0
3 years ago
A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Train Station is located a
galben [10]

Answer:

X = 9 and Y = 8

Step-by-step explanation:

We are to find the midpoint of the coordinates  (13,15) and  (5,1).

Using the midpoint formula;

M(X, Y) = [(x1+x2)/2, (y1+y2)/2]

X = (x1+x2)/2

Y = (y1+y2)/2

From the coordinates, x1 = 13, y1 = 15, x2 = 5 and y2 = 1

X = 13+5/2

X = 18/2

X = 9

Similarly;

Y = 15+1/2

Y = 16/2

Y = 8

Hence The Tourist Information Center is located at point X = 9 and Y = 8

4 0
3 years ago
1. f(x) = (x + 2)2 - 3
Advocard [28]

Answer:

asking

Step-by-step explanation:

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5 0
2 years ago
Help please, ill give brainliest
velikii [3]
Armani is correct.

Some tables do need 0,0 but in this one particularly no. It’s because it’s talking about the prices in the snacks, and it would be unnecessary to add 0,0 in the table. If you do add “0,0”, technically you wouldn’t be wrong since it means that 0 snacks equal 0 money. But logically, you wouldn’t see it in a concession stand.
4 0
2 years ago
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