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FromTheMoon [43]
3 years ago
6

There are a total of 12 boys in a chess club. If the ratio of boys to girls in the chess club is 3 to 5, what is

Mathematics
1 answer:
n200080 [17]3 years ago
6 0
<h3>Answer:  32</h3>

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

Explanation:

  • b = number of boys = 12
  • g = number of girls = unknown

The ratio of boys to girls is 3 to 5, which means,

b/g = 3/5

12/g = 3/5 ... plug in b = 12

12*5 = g*3 ... cross multiply

60 = 3g

3g = 60

g = 60/3 .... divide both sides by 3

g = 20 is the number of girls

b+g = 12+20 = 32 total students in the chess club.

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4 years ago
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loris [4]
<h3>Answer: Choice C,  Ro, 270 </h3>

270 degree counterclockwise rotation around the origin

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

Check out the diagram below. In the diagram, I only focus on points A and A'.

We have A = (-3,4) move to A ' = (4, 3). We see the x and y coordinates swap places. Then the new second coordinate -3 becomes positive, or it has flipped sign. So the rule applied here is (x,y) \to (y,-x) which describes a 90 degree clockwise rotation; which is equivalent to a 270 degree counterclockwise rotation

The other points follow the same idea.

7 0
3 years ago
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3 years ago
For the point P(21, 24) and Q(26, 27) , find the distance d(P, Q) and the coordinates of the midpoint M of the segment PQ
aleksley [76]

Answer:

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Step-by-step explanation:

Given points are:

P(21,24) = (x1,y1)

Q(26,27) = (x2,y2)

The distance formula is given by:

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Here (x1,y1) are the coordinates of first point and (x2,y2) are coordinates of second point.

Putting the given values in the formula

d(P,Q) = \sqrt{(26-21)^2+(27-24)^2}\\= \sqrt{(5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}

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Rounding off: 5.83 units

The mid-point of two points is given by the formula:

M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})

Putting the values:

M = (\frac{21+26}{2} , \frac{24+27}{2})\\=(\frac{47}{2} , \frac{51}{2})\\=(23.5, 25.5)

Hence,

d(P,Q) = 5.83 units

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