Answer:
24 birds
Step-by-step explanation:
Let b represent the number of birds at the shelter on Wednesday. Then the cost of care for the 41 animals is ...
5b +7.5(41 -b) = 247.50
-2.5b +307.50 = 247.50 . . . . . simplify
-2.5b = -60 . . . . . . . . . . . . . . . . subtract 307.50
b = 24 . . . . . . . . . divide by -2.5
The number of birds at the shelter on Wednesday was 24.
Answer:
This is because mathematics uses some theories that helps to change words to equations. for example, a tree of height 50m makes a shadow on the ground. an observer standing at angle of 30 degrees, calculate the distance of the man to the tree. we use the the formula, tan (30)=opp/adj
Answer:
x=−5
Step-by-step explanation:
Steps:
Step 1 to 4 : Simplify
Steps 5: Calculating the Least Common Multiple
Steps 6: Calculating Multipliers
The correct answer for this question is x=−5
Answer: x=−5
<em><u>Hope this helps.</u></em>
Answer: -11/2
Step-by-step explanation:
Just set it up so it looks like this:
-2/1 x 11/4 and multiply across the top, which would be -22 and then the across the bottom, which would equal 4. So it’s -22/4. BUT you can simplify it down to -11/2 by dividing both sides of the fraction by 2. So then answer is -11/2
Hope that makes sense! :)
<span>The number of dollars collected can be modelled by both a linear model and an exponential model.
To calculate the number of dollars to be calculated on the 6th day based on a linear model, we recall that the formula for the equation of a line is given by (y - y1) / (x - x1) = (y2 - y1) / (x2 - x1), where (x1, y1) = (1, 2) and (x2, y2) = (3, 8)
The equation of the line representing the model = (y - 2) / (x - 1) = (8 - 2) / (3 - 1) = 6 / 2 = 3
y - 2 = 3(x - 1) = 3x - 3
y = 3x - 3 + 2 = 3x - 1
Therefore, the amount of dollars to be collected on the 6th day based on the linear model is given by y = 3(6) - 1 = 18 - 1 = $17
To calculate the number of dollars to be calculated on the 6th day based on an exponential model, we recall that the formula for exponential growth is given by y = ar^(x-1), where y is the number of dollars collected and x represent each collection day and a is the amount collected on the first day = $2.
8 = 2r^(3 - 1) = 2r^2
r^2 = 8/2 = 4
r = sqrt(4) = 2
Therefore, the amount of dollars to be collected on the 6th day based on the exponential model is given by y = 2(2)^(5 - 1) = 2(2)^4 = 2(16) = $32</span>
