Let l, t, b represent the numbers of lions, tigers, bears, respectively.
2l +3t +3b = 156 . . . . . . . 156 meals per day are supplied
l +t = 3b . . . . . . . . . . . . . . there are 3 times as many great cats as bears
l +t +b = 68 . . . . . . . . . . . there are a total of 68 animals
_____
The last 2 equations tell you
.. 4b = 68
.. b = 17
Subtracting 3 times the last equation from the first gives
.. -l = -48
There are 48 lions, 3 tigers, and 17 bears.
I think it'd be x=4 but I'm not 100% sure
Answer:
A) 150 m
B) 180.28 m
Step-by-step explanation:
A) In order to find the horizontal distance from the base of the cliff to the speed boat, use the Pythagorean theorem to calculate the length of the missing side.
We are told that one of the sides is 80 m and the hypotenuse is 170 m. Therefore,
- a² + b² = c²
- (80)² + b² = (170)²
- b² = 170² - 80²
- b² = 22500
- b = 150
The horizontal distance between the base of the cliff and the boat is 150 m.
B) Now, the side that was 80 m is now 100 m (includes the height that the helicopter is above Jumbo). The horizontal distance remains the same, 150 m, but the hypotenuse is different. Solving for the hypotenuse will give us the distance between the helicopter and the speed boat.
- (100)² + (150)² = c²
- 32500 = c²
- 180.28 = c
The distance between the helicopter and the speed boat is 180.28 m.
1. You have the following quadratic equation and to solve it, you must follow the steps below:
<span>
x</span>²<span>+3=9x
2. The form of the equation that you need to apply the quadratic formula, is:
ax</span>²+bx+c=0
<span>
3. Then:
</span>
x²<span>+3=9x
</span> x²-9x<span>+3=0
</span><span>
4. The quadratic formula is shown below:
x=(-b±√(b^2-4ac))/2a
5. Then, you have:
a=1
b=-9
c=3
6. When you substitute the values into the quadratic formula, you obtain:
x1=0.34
x2=8.65</span>
