Answer:
-5
Step-by-step explanation:
-10+5b=-35
5b=-35-(-10)
5b=-35+10
5b=-25
b=-25/5
b=-5
Answer:
4
Step-by-step explanation:
Let x be a number.
The statement can be interpreted as:
- 5 is subtracted <u>from</u> a number : x - 5
- A number is greater than 6 : x > 6
- When 5 is subtracted <u>from</u> 3 times a number, the result is greater than 6 : 3x - 5 > 6
And then we simplify 3x - 5 > 6:
- 3x - 5 > 6
- 3x > 11
- x > 11/3
- x > 3.666...
To get the smallest whole number satisfying the inequality above, we can take the "ceiling" of 3.66 which is 4.
Note:
The ceiling of a number is the nearest integer (or in this case, nearest whole number) of a number. It can be denoted by ceil(x).
For example, the ceiling of 0.1 is 1. The ceiling of 5 is 5 since 5 itself is a integer.
Answer:
see explanation
Step-by-step explanation:
The directed lines have the form < x, y >
With the usual notation
right in x- direction → +
left in x- direction → -
up in y- direction → +
down in y- direction → -
21
EF = < 4, 1 >
22
FG = < 4, - 2 >
23
GH = < - 4, - 2 >
24
EH = < 4, - 3 >
I believe the answer is about a 60% chance. I hope this helps!
Step-by-step explanation:
Area of the circle=
3.14•(17)²/4
=226.865in²
Area of the rectangle=length•width
=(8•15)in²
=120in²
Area of the shaded portion=Area of the circle-Area of a rectangle
=(226.865-120)in²
=106.865in²
=106.87in² to the nearest hundredth
