What is the solution to the equation?
(2x − 5)= 19 −6x
X=3
Javier and his brother Antonio are selling bags of popcorn to raise money for their baseball team to travel to Florida for a tournament.
• Javier is selling his bags of popcorn for $7.50 each and has already raised $120.00.
• Antonio is selling his bags of popcorn for $6.00 each and has already raised $162.00.
Which equation can be used to determine x, the number of bags of popcorn Javier and Antonio must each sell, so that the total amount of money they r aise is the same?
a. 120 − 7.50x = 162 − 6x
b. 7.50x − 120 = 6x − 162
c. 120x + 7.50 = 162x + 6
d. 7.50x + 120 = 6x + 162
D. 7.50x + 120 = 6x + 162
Which scenario could be modeled by the equation
2x + 12 = 8 + 4x?
a. Jodie is wanting to join an online streaming service. She found two options online. The first option, Streaming R Us, costs $12 to activate and $2 per month for the service. The second option, Loads of Shows, costs $8 to activate the service and an additional $4 per month. At how many months will the 2 streaming options cost Jodie the same amount?
b. Karl saves $2 a week of his allowance but must repay his mom $12 out of his savings for money she loaned him. Karl’s sister Tamara saves $4 a week of her allowance but must repay her mom $8 she borrowed from her out of the money she saves. After how many weeks of saving will Karl and Tamara have the same amount of money saved?
c. Currently the temperature in Syracuse, NY, is −12 degrees Fahrenheit and it is 8 degrees Fahrenheit in Chicago, IL. If the temperature in Syracuse rises 4 degrees per hour and it rises 8 degrees per hour in Chicago, after how many hours will Syracuse and Chicago have the same temperature?
d. Jackson swam 12 miles at a rate of 2 miles per hour and 8 miles at a rate of 4 miles per hour. How many hours does it take Jackson to swim 20 miles?
a. Jodie is wanting to join an online streaming service. She found two options online. The first option, Streaming R Us, costs $12 to activate and $2 per month for the service. The second option, Loads of Shows, costs $8 to activate the service and an additional $4 per month. At how many months will the 2 streaming options cost Jodie the same amount?
What is the solution to this equation?
5x − 23 = 10(x − 1)
X= -2.6
Scott is trying to decide which amusement park to go to during vacation. Amusement park A costs $2.50 per ride with a $40 entry fee. Amusement park B costs $4.00 per ride with a $30 entry fee. Which inequality can be used to determine x, the minimum number of rides Scott has to go on so that the total charge at amusement park A costs less than the total charge at amusement park B?
a. 2.5x + 40 < 4x + 30
b. 2.5x + 40 > 4x + 30
c. 2.5 + 40x < 4 + 30x
d. 2.5 + 40x > 4 + 30x
a. 2.5x + 40 < 4x + 30
At a fruit stand, each pound of apples has a cost of x dollars. Which situation can be represented by the inequality 7x > 2x + 4?
a. The cost of 7 pounds of apples is greater than the cost of 6 bunches of bananas.
b. The cost of 7 pounds of apples is $4 greater than the cost of 2 pounds of apples.
c. The cost of 7 pounds of apples is greater than the cost of 2 pounds of apples plus a $4 bunch of bananas.
d. The cost of 7 pounds of apples is less than the cost of 2 pounds of apples plus a $4 bunch of bananas.
c. The cost of 7 pounds of apples is greater than the cost of 2 pounds of apples plus a $4 bunch of bananas.
What is the solution to this equation?
3(0.1x + 2) = 14.8 − 0.8x
X= 8
Solve the equation
5x + 3 = 2x + 9
X= 2
X= 4