1. (1 / 5)5 * 14 = 14 because 1/5 multplied by 5 is equal to 1. I believe this is called reciprocals.
2. 6 + 4 (19 - 5) = 6 + 4(19) - 4(5) = 6 + 76 - 20 = 62. This is called the distributive property.
3. 5 (14 - 5) + 6 (3 + 7) = 5(14) - 5(5) + 6(3) + 6(7) = 70 - 25 + 18 + 42 = 105. We also used the distributive property in this question.
Answer:
Total money they had at first $252.
Step-by-step explanation:
Let,
x be the amount Silas had originally
y be the amount Raja had originally
According to given statement;
x = 3y Eqn 1
x - 84 = y + 42 Eqn 2
Putting x=3y in Eqn 2
3y - 84 = y + 42
3y - y = 42 + 84
2y = 126
Dividing both sides by 2

Putting y = 63 in Eqn 1
x = 3(63)
x = 189
Total money they originally had = 189 + 63 = $252
Hence,
Total money they had at first $252.
Answer:
<u>Alejandro went to 8 matinee shows and 4 evening shows.</u>
<u>Our system of equations:</u>
<u>x + y = 12</u>
<u>7x + 12y = 104</u>
Correct statement and question:
Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of an evening show is 12 dollars.
Alejandro went to see a total of 12 movies and spent $ 104. How many of each type of movie did he attend? Write a system of equations.
Source:
Previous question that can be found at brainly
Step-by-step explanation:
Step 1:
Let x to represent the number of matinee shows Alejandro went to.
Let y to represent the number of evening shows Alejandro went to.
Now, let's write our system of equations:
x + y = 12
7x + 12y = 104
*********************
x = 12 - y
*********************
7 (12 - y) + 12y = 104
84 - 7y + 12y = 104
5y = 104 - 84
5y = 20
y = 20/5
<u>y = 4 ⇒ x = 12 - 4 = 8</u>
<u>Alejandro went to 8 matinee shows and 4 evening shows.</u>