Answer:
A) 30 cubes.
B) 30 units³.
Step-by-step explanation:
A) 1. Calculate the volume of the rectangular prism, as following:
2. You have that:
- The length is:
- The width is:
- The heigth is:
3. Substitute these values into the formula:
4. The volume of one cube is:
5. The length of one side is:
6. Substitute this value into the formula:
7. The number of small cubes that can be packed in the rectangular prism is:
B) 1. The length, the width and the height of the rectangular prism in term of units cubes is:
2. Therefore, the volume of the rectagular prism in terms of the small cube and a unit cube is:
Answer:
No
Step-by-step explanation:
If you simplify 17/8;
You'd get 2 <u>1/8</u>, and that is not proportional to 1/2.
So,
1. Type I profits $20
2. Type II profits $30
3. Type III profits $40
4. I/day < 100
5. Type I needs 5 hrs.
6. Type II needs 10 hrs.
7. Type III needs 15 hrs.
8. Total hrs. available: 2000 hrs.
Every +5 hrs. spent yields an extra $10.
If we use 500 hrs. to make 100 Type I stereos, we will profit $2000.
If we use 500 hrs. to make 50 Type II stereos, we will profit $1500.
If we use 495 hrs. to make 33 Type III stereos, we will profit $1320.
We should use the first 500 hrs. to make Type I stereos.
We should use the last 1500 hrs. to make Type II stereos.
$2000 + $4500 = x
$6500 = x
There must be 100 Type I stereos made along with 150 Type II stereos made.
Hello!
If this figure was dilated by 2 (about the origin), it is twice as large. Therefore, we double the point
(-1,1)⇒(-2,2)
Our final point would be (-2,2).
I hope this helps!
