ANSWER: 60 female lions
In the ratio there are 21 male lions and 20 female lions, in total 41 lions. Create a proportion relating the total number of lions in the ratio (41) and in the problem (123), and the number of female lions in the ratio (20) and in the problem (unknown).
20/41 = x/123
Cross multiply and solve
20(123)=41x
2460=41x
60=x
The answer is 91. 260 people were surveyed, and 35 percent said yes. 35 percent of 165 is 91.
Answer:
x=−1.481481
Step-by-step explanation:
Let's solve your equation step-by-step.
19.2x+3=(4.6)(3)x−5
Step 1: Simplify both sides of the equation.
19.2x+3=(4.6)(3)x−5
19.2x+3=13.8x+−5
19.2x+3=13.8x−5
Step 2: Subtract 13.8x from both sides.
19.2x+3−13.8x=13.8x−5−13.8x
5.4x+3=−5
Step 3: Subtract 3 from both sides.
5.4x+3−3=−5−3
5.4x=−8
Step 4: Divide both sides by 5.4.
5.4x
5.4
=
−8
5.4
x=−1.481481
Answer:
x=−1.481481
B*H = area of rectangle so do 100/5 to get base so Base=20m
Answer:
( 2 , -1 )
Step-by-step explanation:
Given:-
A penguin starts on a slide 3 feet above the water. He slides down and glides underwater. The function of penguin height above/below the water is given by:
y = x^2 - 4x + 3
Find:-
-The extreme value (vertex) of the parabolic path
Solution:-
- The vertex ( turning point - minima or maxima ) can be evaluated by taking the first derivative of the given function and setting it equal to zero.
dy/dx = 2x - 4
0 = 2x-4
- Then solve for the critical value of function "x":
x = 4/2 = 2 ft
- The vertex can be evaluated by substituting the critical value of "x" back into the function and evaluate for y:
y = (2)^2 -4*2 + 3
y = 4 - 8 + 3
y = -1 ft
- The vertex of parabolic path lies at the coordinates ( 2 , -1 ). That is 2ft horizontal and 1 ft under water.
