Answer:
1. None 2. All 3. B, C, D 4. B, D 5. C 6. A, B, C 7. B, C 8. None 9. A, D 10. A, C, D
Step-by-step explanation:
1.) None
2.) All
3.) 3 + 8e < 53
- 3 - 3
8e < 50
e < 6.25
4.) B, D
5.) 7 + 3e > 25
- 7 - 7
3e > 18
e > 6
6.) A, B, C
7.) 5e - 7 > 26
+ 7 + 7
5e > 33
e > 6.6
8.) 59 < 8e - 9
+ 9 + 9
68 < 8e
8.5 < e
9.) 9e + 5 > 48
- 5 - 5
9e > 43
e > 4.78
10.) 13 < 5e - 2
+2 + 2
15 < 5e
3 < e
Answer:
16 cm
Step-by-step explanation:
We have to first find the radius of the circle.
The area of a sector is given as:
where α = central angle of the sector = 120°
r = radius of the circle
Therefore:
The diameter of a circle is twice its radius, therefore:
D = 2 * 8 = 16 cm
The diameter of the circle is 16 cm
Total ratio is 1 + 3 + 5 = 9
Share for 1 = 1/9 × 144
= 16kg
Share for 3= 3/9 × 144
= 48kg
Share for 5= 5/9 × 144
= 80kg
Proof= 80 + 48 + 16 =144
Answer: The answer is 8.
Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;
Y^2 - 40.
Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,
Y^2 - 40 = 3Y
If we move all expressions to one side of the equation, what we would have is,
Y^2 - 3Y -40 = 0
(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)
We now have a quadratic equation
Y^2 -3Y - 40 = 0
By factorizing we now have
(Y -8) (Y + 5) = 0
Therefore Y - 8 = 0 or
Y + 5 = 0
Hence, Y = 8 or Y = -5
Since we are asked to calculate the positive solution, Y = 8
4y=7x
The sum of the numbers is 22
so, x+y=22
x=(22-y)
by substitute (22-y) for x in the first equation.
