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>
Answer:
Slope m=4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
We have A(0,-2)->x1=0, y1=-2
B(2,6)->x2=2, y2=6
Answer:we multiply by the reciprocal of a fraction when completing a division problem because it is a rule in mathematics that when you divide two fraction, you change the division sign to multiplication and flip the fraction at the right of the multiplication sign.
Step-by-step explanation:
For example if you have 4÷ 1/2. It basically means how many 1/2 can one get in 4. And the answers is 8.
Therefore multiplying by the reciprocal of a fraction when completing a division problem is a short cut method that has been tested and proven to be correct.
Answer: No
Step-by-step explanation:
What we have to do is to substitute the values of x and y that we are given into the inequality:
x = 8
y = 7
y > 4x - 6
7 > 4(8) - 6
7 > 32 - 6
7 > 26
This is not true so it isn't a solution
Answer:
On Saturday, a local hamburger shop sold a combined total of 312 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold, How many hamburgers were sold on Saturday?
Step-by-step explanation:
x is the hamburgers
x times 3 is the cheeseburgers
answer x=78
check work 78 x 3 =234
78 + 234 = 312
