MATH SOLVE

2 months ago

Q:
# Select ALL (MORE THAN ONE) the situations that can be represented by the equation 1/2(x+40)=60. Question 2 options: A)40 more than 50% of a number is 60. B) 60 is half the sum of a number and 40. C)A test is worth 100 points. Each question, x, is worth 1/2a point. D)A store has a sale in which all items are 50% off. At the store, Tony spends a total of $60 for a jacket that costs x dollars and a pair of pants that costs $40.

Accepted Solution

A:

Answer:Option B) 60 is half the sum of a number and 40.Option D) A store has a sale in which all items are 50% off. At the store, Tony spends a total of $60 for a jacket that costs x dollars and a pair of pants that costs $40.Step-by-step explanation:we have the equation [tex]\frac{1}{2}(x+40)=60[/tex]Verify each casecase A) 40 more than 50% of a number is 60.Let x -----> the numberThe situation is [tex]\frac{1}{2}x+40=60[/tex]thereforeThe situation cannot be represented with the given equationcase B) 60 is half the sum of a number and 40Let x -----> the numberThe situation is [tex]60=\frac{1}{2}(x+40)[/tex]Rewrite[tex]\frac{1}{2}(x+40)=60[/tex]thereforeThe situation can be represented with the given equationcase C) A test is worth 100 points. Each question, x, is worth 1/2 a pointLetx -----> the number of questionsThe situation is [tex]\frac{1}{2}(x)=100[/tex]thereforeThe situation cannot be represented with the given equationcase D) A store has a sale in which all items are 50% off. At the store, Tony spends a total of $60 for a jacket that costs x dollars and a pair of pants that costs $40.Letx -----> the cost of a jacketThe situation is [tex]\frac{1}{2}(x+40)=60[/tex]thereforeThe situation can be represented with the given equation