Answer:
10 < 6n -2 ≤ 34
n= {3, 4, 5, 6}
Step-by-step explanation:
number
⇒ n
two less than six times the number
⇒ 6n -2
it is between ten and thirty-four (inclusive)
⇒ 10 < 6n -2 ≤ 34
we can solve it as:
- 10 < 6n -2 ≤ 34 ⇒ add 2 to all sides
- 12 < 6n ≤ 36 ⇒ divide by 6 all sides
- 2 < n ≤ 6
- n= (2, 6]
or
Answer: 1,260 books are due back this week.
Step-by-step explanation:
So, 12500/5 = 2500
2500 * 2 = 5000
5000 is 2/5 out of 12,500
19000/5 = 3800
3800 * 2 = 7600
7600 is 2/5 out of 19000.
7600 + 5000 = 12,600
12600 total books are checked out.
12600/10 = 1260
1260 * 1 = 1260
Answer: B is (6,7)
Step-by-step explanation:
Put the two points like an equation with point A on top and midpoint M on the bottom like this:
A (-4,8)
M (1,7.5)
Now, look at the difference between the x points of point A and midpoint M. The difference is +5. Do the same for the y points between point A and M. The difference is -0.5. From point M, add 5 to 1 (which is the x point of M) and subtract 0.5 from 7.5 (which is the y point of M). Now you have (6,7) which is point B. I hope this helped!! :)
Answer:
29.5 square inches
Step-by-step explanation:
Let's divide the shape into 3 parts to make it easy for us to find the area.
- a wide triangle
- a triangle
- a shorter rectangle
For the wider rectangle, the area is;
A1 = 8 × 2 = 16 in²
For the triangle, the area is;
A2 = ½(7 - 2) × 3
A2 = 7.5 in²
For the shorter rectangle, the area is;
A3 = 3 × 2
A3 = 6 in²
Total area = A1 + A2 + A3 = 16 + 7.5 + 6 = 29.5 square inches
Rotate once to the left side
