We can set up a proportion to solve this. 9 lions were tagged out of a sample of 50. This gives us the ratio 9/50 for the first part of the proportion.
For the second ratio, we know 85 lions were tagged out of an unknown population; this gives us 85/x.
Our proportion is
9/50 = 85/x
Cross multiply:
9*x = 50*85
9x = 4250
Divide both sides by 9:
9x/9 = 4250/9
x = 472.222
To the nearest whole number, this is 472 sea lions.
Step-by-step explanation:
We can set up a proportion to solve this. 9 lions were tagged out of a sample of 50. This gives us the ratio 9/50 for the first part of the proportion.
For the second ratio, we know 85 lions were tagged out of an unknown population; this gives us 85/x.
Our proportion is
9/50 = 85/x
Cross multiply:
9*x = 50*85
9x = 4250
Divide both sides by 9:
9x/9 = 4250/9
x = 472.222
To the nearest whole number, this is 472 sea lions.
The speed while walking is 0.2 kilometers per minute
Step-by-step explanation:
The speed is calculated as distance per unit time.
Given
Distance = d = 5 km
Time by walking = t = 25 minutes
The speed is given by:
Putting the values
The speed while walking is 0.2 kilometers per minute
Keywords: Speed, distance
Learn more about speed at:
#LearnwithBrainly
[ Answer ]
[ Explanation ]
9 * 4 - 2x ___ 2(9 - x)
X = 6
Insert Numbers Into Equation
9 * 4 - (2 * 6) ___ 2(9 - 6)
Solve
9 * 4 = 36
2 * 6 = 12
36 - 12 = 24
9 - 6 = 3
2 * 3 = 6
24 > 6
Answer:
She is not correct because she did not substitute the same number in both expressions in Step 1
Step-by-step explanation:
CASE 1: substitute 1 for x to both sides of the equations
L.H.S
-(4x-5)+2(x-3)
-(4 (1) - 5)+ 2(1-3) = - (-1) + 2(-2) = 1 - 4 = -3
R.H.S
-2x - 5
-2(1) - 5 = -2-5 = -7
Hence for x= 1
-(4x-5)+2(x-3) ≠ -2x -5
Because -3 ≠ -7
CASE 2: substitute -1 for x to both sides of the equations
L.H.S
-(4x-5)+2(x-3)
-(4 (-1) - 5)+ 2(-1-3) = - (-9) + 2(-4) = 9 - 8 = 1
R.H.S
-2x - 5
-2(-1) - 5 = 2-5 = -3
Hence for x= -1
-(4x-5)+2(x-3) ≠ -2x -5
Because 1 ≠ -3
Answer:
She is not correct because she did not substitute the same number in both expressions in Step 1