Answer:
x=-5/6
Step-by-step explanation:
Last answer for the first question and in not sure about the second one
Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
<u>1) Translate the information into equations</u>
"One is 7 more than twice the other"
⇒ 
"The sum of the numbers is 43"
⇒ 
<u>2) Use substitution to solve for the smaller number</u>

Plug the equation
into the above equation

Subtract both sides by 7

Divide both sides by 3 to isolate x

Therefore, the smaller number equates to 12.
<u>3) Use substitution to solve for the greater number</u>

Plug in x as 12

Subtract both sides by 12 to isolate y

Therefore, the greater number equates to 31.
I hope this helps!
Answer:
Question 1: A
Question 2: C
Step-by-step explanation:
The answer to question 1 is A. I know this is correct because Max needs to earn 108 dollars for the headphones he wants so the amount of money he earns per hour which is 15, times the amount of hours he needs to work which is x has to be greater than 108. So, the inequality equation has to be 15x > 108 which is answer A.
The answer to question 2 is C. I know this is correct because Felicia has 2 sisters which make 3 sisters in total to pay for the gift. They all pay evenly, so the first part of the equation would be 3x. The cost for the gift is less than 80 dollars, so we write the inequality equation like 3x < 80 which is answer C.
Answer:
For 20 tickets its 35 dollars
For 50 tickets its 87.50 dollars
For r tickets its 140 dollars
Step-by-step explanation: