a) Let's solve for x (the original number of pencils):
Step 1: Share the pencils equally between you and your friend. This means each of you will get x/2 pencils.
Step 2: Add 3 more pencils to your own box.
Step 3: The total number of pencils you have now is (x/2) + 3.
Step 4: According to the problem, this total is 15, so we can write the equation:
(x/2) + 3 = 15
Step 5: To isolate x, we subtract 3 from both sides of the equation:
(x/2) + 3 - 3 = 15 - 3
(x/2) = 12
Step 6: Finally, we multiply both sides of the equation by 2 to solve for x:
2 * (x/2) = 12 * 2
x = 24
b) If you wanted to have at least 20 pencils left in your box, you would need to find the original number of pencils, x:
Step 1: Subtract 20 from the total number of pencils you have after sharing and adding 3 (which is 15):
x - 20 ≥ 15
Step 2: To isolate x, we add 20 to both sides of the inequality:
x - 20 + 20 ≥ 15 + 20
x ≥ 35
Therefore, you would need to have originally at least 35 pencils in your box.
c) The inequality representing the condition of having at least 20 pencils left in your box is:
x - 20 ≥ 15
You originally have x colored pencils in your pencil box. You share them equally between you and your friend. You add in 3 more colored pencils to your own box after sharing them. This gives you a total of 15 pencils.
a) Write an equation and show all of your steps for solving x (the original number of pencils in your box)
b) What if you wanted to have at least 20 pencils left in your box? How many pencils would you have needed originally?
c) Write an inequality and show all steps for solving for x.
make a short answer
5 answers
make a shorter answer
a) x/2 + 3 = 15
x = 24
b) x - 20 ≥ 15
x ≥ 35
c) x - 20 ≥ 15
x = 24
b) x - 20 ≥ 15
x ≥ 35
c) x - 20 ≥ 15
Which object will have particles with the highest average kinetic energy?(1 point)
Responses
water at 40°C in a swimming pool
water at 40°C in a swimming pool
water at 37°C in a glass
water at 37°C in a glass
an iceberg at 0°C
an iceberg at 0°C
a drop of water at 90°C
Responses
water at 40°C in a swimming pool
water at 40°C in a swimming pool
water at 37°C in a glass
water at 37°C in a glass
an iceberg at 0°C
an iceberg at 0°C
a drop of water at 90°C
The drop of water at 90°C will have particles with the highest average kinetic energy.