$\frac{4x + 16}{12} = x - 4 \\ = > 4x + 16 = 12(x - 4) \\ = > 4x + 16 = 12x - 48 \\ = > 16 + 48 = 12x - 4x \\ = > 64 = 8x \\ = > x = \frac{64}{8} \\ = > x = 8$

<h3>Answer:</h3>

x = 8

7 0

2 years ago

Samuel spends a total of $36.75 on 1 bag of popcorn and 3 drinks. Sebastian spends a totally of $138.00 on 3 bags of popcorn and

Ivanshal [37]

Answer: A popcorn costs $9

Step-by-step explanation:

Let popcorn be represented by p

Let drinks be represented by d.

Samuel spends a total of $36.75 on 1 bag of popcorn and 3 drinks. This will be: p + 3d = 36.75

Sebastian spends a totally of $138.00 on 3 bags of popcorn and 12 drinks. This will be: 3p + 12d= 138

p + 3d = 36.75 ........... i

3p + 12d = 138 ............ ii

Multiply equation i by 3

Multiply equation ii by 1

3p + 9d = 110.25 ....... iii

3p + 12d = 138 ............ iv

Subtract equation iv from iii

-3d = -27.75

3d = 27.75

Divide both side by 3

d = 9.25

A drink cost $9.25

From equation i

p + 3d = 36.75

P + 3(9.25) = 36.75

P + 27.75 = 36.75

P= 36.75 - 27.75

P= $9

A popcorn cost $9

6 0

3 years ago

Tion 15/30

vitfil [10]

The percentage of students that passed the exam is 25.2%

<u />

<u>The given parameters;</u>

number of the males, = 85

number of the females, = 30

percentage of the female that passed = 40%

percentage of the male that passed, = 20%

the percentage of students that passed the exam

The number of the male students that pass the exam;

$= 0.2 \times 85 \\\\= 17$

The number of the female students that pass the exam;

$= 0.4 \times 30 \\\\= 12$

The total number of students in the school;

= 85 + 30

= 115

The total number of the students that passed the exam;

= 17 + 12

= 29

The percentage of students that passed the exam;

$= \frac{total \ number \ that \ passed }{total \ number \ of \ the \ students} \times 100\% \\\\= \frac{29}{115} \times 100\%\\\\= 25.2 \%$

Thus, the percentage of students that passed the exam is 25.2%

Learn more here: brainly.com/question/1163846

6 0

3 years ago