Factor the expression by taking out the greatest common factor.<br><br> 9x^2y

At a high school basketball game the Lions and the Eagles are playing. The Lions attempted 18 free throws and made 10, attempted

rodikova [14]

Answer:

(a) 55.6%

(b) 45.0%

(c) 38.5%

(d) 27.1%

(e) 64

(f) 47

(g) The Lions

Step-by-step explanation:

(a) Free throw % for Lions is

$\dfrac{10}{18}\times 100\% = 55.6\%$

(b) Free throw % for Eagles is

$\dfrac{9}{20}\times100\% = 45\%$

(c) For the Lions, they attempted a total of 51 + 14 = 65 field goals and made 21 + 4 = 25.

Field goal % for Lions is

$\dfrac{25}{65}\times100\% = 38.5\%$

(d) For the Eagles, they attempted a total of 45 + 14 = 59 field goals and made 10 + 6 = 16.

Field goal % for Eagles is

$\dfrac{16}{59}\times100\% = 27.1\%$

(e) Total points by Lions = (10 × 1) + (21 × 2) + (4 × 3) = 10 + 42 + 12 = 64

(f) Total points by Eagles = (9 × 1) + (10 × 2) + (6 × 3) = 9 + 20 + 18 = 47

(g) The Lions won because they had more points.

4 0

3 years ago

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A committee must be formed with 5 teachers and 4 students. If there are 6 teachers to choose from, and 15 students, how many dif

ZanzabumX [31]

Answer:

8190 ways

Step-by-step explanation:

Given

$Teachers = 6$

$Students = 15$

Selection

$Students = 4$

$Teachers = 5$

Required

Number of ways of selection

4 students can be selected from 15 students in:

$Students= ^{15}C_4$

Similarly.

5 teachers can be selected from 6 teachers in:

$Teachers= ^{6}C_5$

So, the required number of selection is:

$Selection = ^{15}C_4 * ^6C_5$

Apply combination formula:

$Selection = \frac{15!}{(15-4)!4!} * \frac{6!}{(6-5)!5!}$

$Selection = \frac{15!}{11!4!} * \frac{6!}{1!5!}$

$Selection = \frac{15*14*13*12*11!}{11!*4*3*2*1} * \frac{6*5!}{1*5!}$

$Selection = \frac{15*14*13*12}{4*3*2*1} * \frac{6}{1}$

$Selection = \frac{32760}{24} * 6$

$Selection = 1365 * 6$

$Selection = 8190$

8 0

3 years ago

What is the value of the 5 in the number 356,409?

Hoochie [10]

Answer:

ten thousands

Step-by-step explanation:

THIS IS MIDDLE SCHOOL MATH IM SORRY

3 0

3 years ago

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Thank you in advance for the help !!

babymother [125]

The Answer is C, my good friend.

4 0

3 years ago

The geometic mean of 4 and 21

-Dominant- [34]

Answer:

12.5

Step-by-step explanation:

4+21=25

25/2=12.5

4 0

3 years ago

Factor the expression by taking out the greatest common factor. 9x^2y - 6xy^2