Answer:
- large: 18.5 kg
- small: 15.75 kg
Step-by-step explanation:
Let b and s represent the weights of the big and small boxes, respectively. Then the two delivered weights can be summarized as ...
5b +6s = 187
3b +2s = 87
We can eliminate the "s" variable by subtracting the first equation from 3 times the second:
3(3b +2s) -(5b +6s) = 3(87) -(187)
4b = 74 . . . . . collect terms
b = 18.5 . . . . . divide by 4
Using this value in the second equation, we find ...
3(18.5) +2s = 87
2s = 31.5 . . . . . . . . subtract 55.5
s = 15.75 . . . . . . . . divide by 2
The large box weighs 18.5 kg; the small box weighs 15.75 kg.
Answer: In step 1, Andrew used the commutative property
Explanation:
In step 1 he used commutative, which is a + b = b + a
(- 5.7 + 2.2) = 2.2 + (- 5.7)
Step 2, he used associative property, not the distributive.
Step 3, he just added5.7 + 1.1 = 6.8
Step 4, he distributed the negative sign:
- (6.8) = - 6.8
Approximate <em>R'</em> by using a linear approximation: for <em>x</em> close enough to 24, you have
<em>R'(x)</em> ≈ <em>L(x)</em> = <em>R' </em>(20) + <em>R''</em> (20) (<em>x</em> - 20)
Then
<em>R'</em> (24) ≈ <em>R'</em> (20) + <em>R''</em> (20) (24 - 20) = -4 + 50 (24 - 20) = 196
Answer:
Step-by-step explanation:
The interquartile range is IQR is:
Where:
= third quartile
= first quartile
So the interquartile range is the difference between the highest quartile and the lowest quartile. In other words, it is the width of the box in the diagram.
So:
The R range is the difference between the highest value and the lowest. In other words:
Finally:
Answer:
In 2050 fish population is 27000
Step-by-step explanation:
Exponential change can be modeled by,
Where 
is the initial value of 750, 
is the rate of change. It is greater then 1 when there is growth and less then 1 when there is decay. and 
is the number of time periods.
The rate of change in percentage is 8.3%
That means, after 1 year fish will become 108.3 for 100 fish.
Then 
Difference of years is, 
Then, 
So, the fish population in 2050 is 27000
