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mezya [45]
2 years ago
11

144 students enter a spell bee, but only 1/6 of the group will make into the semi-final round, and only 2/3?​​that group will ma

ke into the final round. How many students will enter the final round of the spelling bee?
A8
B16
C24
D36
Mathematics
1 answer:
777dan777 [17]2 years ago
4 0

Answer:

The answer is B.

Step-by-step explanation:

We want 1/6 of 144, so we divide 144/6=24 students.

Then, only 2/3 of those 24 students will make it to the final round. So, we want to know how many students are in three (2/<u>3</u>) groups and we want two (<u>2</u>/3) of those groups. So, we divide those 24 students by 3 to know each group has 8 students and then we want 2 of those groups (remember <u>2</u>/3), so we multiply 2x8=16 students in the final round.

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5 and 6 are true but 7 is not true. If you divide an odd number by 2 it's not going to be half of it
4 0
2 years ago
Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq
stiv31 [10]

Answer:

18

Step-by-step explanation:

Remark

This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't

However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.

Solution

Let the width = x

Let the length = x + 5

Area of the rectangle: L * w = x * (x + 5)

Area of the smaller squares (there are 2)

Area = 2*s^2

x = s

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Area of the larger squares = 2 * (x+5)^2

Total Area

x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120                 Expand

x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120     Remove the brackets

x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120      collect the like terms on the left

5x^2 + 25x +  50 = 120                                   Subtract 120 from both sides.

5x^2 + 25x - 70 = 0                                         Divide through by 5

x^2 + 5x - 14 = 0                                               Factor

(x + 7)(x - 2) = 0                                                 x + 7 has no meaning  

x - 2 =  0

x = 2                                                              

Perimeter

P = 2*w + 2*L

w = 2

L = 2 + 5

L = 7

P = 2*2 + 2 * 7

P = 4 + 14

P = 18

8 0
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Figure B is a scaled copy of Figure A
Licemer1 [7]
Answer: 72 HOPE THIS HELPS!
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WARRIOR [948]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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