What is the solution set for −4x−5<31 ?(1 point)
Responses
x<−9
x<−9
x>−9
x is greater than negative 9
x>9
x is greater than 9
x<9
11 answers
x<9
Solve for x in the inequality.
−1.7x≥5.95
(1 point)
Responses
x≤−3.5
x is less than or equal to negative 3 point 5
x≤3.5
x is less than or equal to 3 point 5
x≥3.5
x is greater than or equal to 3 point 5
x≥−3.5
−1.7x≥5.95
(1 point)
Responses
x≤−3.5
x is less than or equal to negative 3 point 5
x≤3.5
x is less than or equal to 3 point 5
x≥3.5
x is greater than or equal to 3 point 5
x≥−3.5
x≥−3.5
Jake begins the summer with 1,000 marbles in his collection. He aims to have a minimum of 500 marbles left by the end of the summer. Each week, he gives away 100 marbles to friends. Write an inequality to determine the number of weeks Jake can continue giving away marbles and find the solution.(1 point)
Let x be the number of weeks Jake can continue giving away marbles.
The number of marbles Jake will have left after x weeks is given by 1,000 - 100x.
We want this number to be greater than or equal to 500:
1,000 - 100x ≥ 500
Simplifying the inequality:
-100x ≥ -500
Dividing both sides by -100 flips the inequality sign:
x ≤ 5
So Jake can continue giving away marbles for a maximum of 5 weeks.
The number of marbles Jake will have left after x weeks is given by 1,000 - 100x.
We want this number to be greater than or equal to 500:
1,000 - 100x ≥ 500
Simplifying the inequality:
-100x ≥ -500
Dividing both sides by -100 flips the inequality sign:
x ≤ 5
So Jake can continue giving away marbles for a maximum of 5 weeks.
Jake begins the summer with 1,000 marbles in his collection. He aims to have a minimum of 500 marbles left by the end of the summer. Each week, he gives away 100 marbles to friends. Write an inequality to determine the number of weeks Jake can continue giving away marbles and find the solution.(1 point)
Responses
1000−100w≥500; w≥5
1000−100w≥500; w≥5
1000−100w≥500; w≤5
1000−100w≥500; w≤5
1000−100w≤500; w≥6
1000−100w≤500; w≥6
1000+100w≥500; w≥6
Responses
1000−100w≥500; w≥5
1000−100w≥500; w≥5
1000−100w≥500; w≤5
1000−100w≥500; w≤5
1000−100w≤500; w≥6
1000−100w≤500; w≥6
1000+100w≥500; w≥6
1000 - 100w ≥ 500; w ≤ 5
Mark runs a stall selling handmade cards and bookmarks.
Each handmade card costs $20.00.
Each bookmark costs $2.50.
Mark wants his total sales to reach a minimum of $90.00 through the sale of at least one handmade card and several bookmarks. What inequality represents the various quantities of bookmarks (x) Mark must sell?
Each handmade card costs $20.00.
Each bookmark costs $2.50.
Mark wants his total sales to reach a minimum of $90.00 through the sale of at least one handmade card and several bookmarks. What inequality represents the various quantities of bookmarks (x) Mark must sell?
Let x be the number of bookmarks Mark must sell.
The cost of selling x bookmarks is given by 2.50x.
The cost of selling at least one handmade card is $20.
The total sales must reach a minimum of $90, so we have the inequality:
2.50x + 20 ≥ 90
Simplifying the inequality:
2.50x ≥ 70
Dividing both sides by 2.50:
x ≥ 28
Therefore, the inequality representing the quantity of bookmarks Mark must sell is x ≥ 28.
The cost of selling x bookmarks is given by 2.50x.
The cost of selling at least one handmade card is $20.
The total sales must reach a minimum of $90, so we have the inequality:
2.50x + 20 ≥ 90
Simplifying the inequality:
2.50x ≥ 70
Dividing both sides by 2.50:
x ≥ 28
Therefore, the inequality representing the quantity of bookmarks Mark must sell is x ≥ 28.
Sophie is eyeing a new bicycle that costs $1,200. She earns $160 per week from her part-time job. Currently, she has saved up $400. What inequality represents the minimum number of weeks (w) Sophie needs to work to afford the bicycle?(1 point)
Responses
400w+160w≥1200
400 w plus 160 w is greater than or equal to 1200
400+160w≥1200
400 plus 160 w is greater than or equal to 1200
400w+160w≤1200
400 w plus 160 w is less than or equal to 1200
400+160w≤1200
Responses
400w+160w≥1200
400 w plus 160 w is greater than or equal to 1200
400+160w≥1200
400 plus 160 w is greater than or equal to 1200
400w+160w≤1200
400 w plus 160 w is less than or equal to 1200
400+160w≤1200
400 + 160w ≥ 1200
9 answers