Math  /  Word Problems

QuestionProblem 7: Out of 107 athletes, find those who don't play basketball if 48 play baseball and 33 don't.
Problem 9: Write an equation: 2a+a3=b2a + a^3 = b.
Problem 11: Write an equation: x+x2=yzx + x^2 = yz.

Studdy Solution
Problem7Assumptions. The total number of athletes surveyed is107.
2. Some of these athletes play basketball.
3. Of the athletes that play basketball,48 play baseball and the remaining33 do not play baseball.

2Let's denote the number of athletes who play basketball as BB. From the problem, we know that the number of athletes who play basketball and baseball is48 and those who play basketball but not baseball is33. Therefore, we can write the equation for the total number of basketball players asB=48+33B =48 +333Calculate the number of basketball players.
B=48+33=81B =48 +33 =814Now, we need to find the number of athletes who do not play basketball. Let's denote this number as NBNB. We can write the equation for the total number of athletes as107=B+NB107 = B + NB5Substitute the value of BB from3 into the equation.
107=81+NB107 =81 + NB6olve the equation for NBNB.
NB=10781=26NB =107 -81 =26So,26 athletes do not play basketball. Problem9Assumptions. The sentence is "Twice aa increased by the cube of aa equals bb."
2Translate the sentence into an equation. "Twice aa" can be written as 2a2a, "increased by" means addition, "the cube of aa" can be written as a3a^3, and "equals bb" can be written as =b=b.
2a+a3=b2a + a^3 = bThis is the equation translated from the sentence. Problem11Assumptions. The sentence is "The sum of xx and its square is equal to yy times zz."
2Translate the sentence into an equation. "The sum of xx and its square" can be written as x+x2x + x^2, "is equal to" can be written as ==, and "yy times zz" can be written as yzyz.
x+x2=yzx + x^2 = yzThis is the equation translated from the sentence.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord