Review examples 2, 3, and 4 in section 8.4 of the text. How does the author determine what the first equation should be? What about the second equation?

How are these examples similar? How are they different? Post a similar to example 2,3 and 4.

Post for classmate to solve.

2.) Translate. The first row of the table and the fourth sentence of the problem tell us that a total of 63 pupae was received. Thus we have one equation:

p+q=63

Since each pupa of morpho granadensis costs $4.15 and p pupae were received, 4.15p is the cost for the morpho granadensis species. Similarly, 1.50q is the cost of the battus polydamus species. From the third row of the table and the information in the statement of the problem, we get a second equation:

4.15p+1.50q=147.50

We can multiply by 100 on both sides of this equation in order to clear the decimals. This gives us the following system of equations as a translation:

p+q=63 (1)
415p+150q=14,750 (2)

3.) Solve. We decide to use the elimination method to solve the system. We eliminate q by multiplying equation (1) by -150 and adding it to equation (2).

-150p-150q = -9450 Multiplying equation(1) by -150
415p+150q = 14750
265p = 5300---------------adding
P = 20-------------------solving for

To find q, we substitute 20 for p in equation (1) and solve for q:

p+q=63
20+q=63
q=43

We obtain (20,43), or p=20,q=43.

4.) Check We check in the original problem. Remember that p is the number of pupae of morpho granadensis and q is the number of pupae of battus polydamus.

Number of pupae; p+q=20+43=63
Cost of morpho granadensis: $4.15p=4.15(20)= $83.00
Cost of battus polydamus: $1.50q=1.50(43)=64.50
Total:= $147.50

1. The perimeter of a rectangle is 60m. The length is 9m more than twice the width. Find the dimensions
2. Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320lb mixture that is 11% protein?
How many pounds of the cornmeal should be in the mixture?
How

Determine whether the equation is an identity, a conditional equation, or an inconsistent equation...
Solve the equation...
Solve the equation...
Plot the given point in a rectangular coordinate system...
Use the graph to determine the x- and y-intercepts...
Use the five-step strategy for solving wordproblems to find the n

Solve each problem by factoring.
1. Area of a painting. A rectangular painting with a width of x centimeters has an area of x^2 + 50x square centimeters. Find a binomial that represents the length.
2. Amount of an investment. The amount of an investment of P dollars for t years at simple interest rate r is given by
A =

After 2 minutes on a treadmill, Jenny has a heart rate of 82, after 3 minutes she has a heart of 86. Assume that there is a linear equation that gives her rate in h terms of time on the treadmill t. What is the equation and use it to predict her heart rate after 10 minutes on the treadmill.

In a family there are two cars. In a given week, the first car gets an average of 40 miles per gallon, and the second car gets 25 miles per gallon. The two cars combined drive a total of 1775 miles in that week, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?

See attached equations.
1. -1^2
2. solve the equation: 5/(y+4) - 8/(y-4) = 2/(y^2 - 16)
3. 7[7x - 7 + 4(x +1)] = -7x - 7
4. A rational expression is the ratio of two:
5. Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
6. Find all values of x satisfying the given conditi

. After 2 minutes on a treadmill, Jenny has a heart rate of 82. After 3 minutes she has a heart rate of 86. Assume that there is a linear equation that gives her heart rate h in terms of time on the treadmill t. Find the equation and use it to predict her heart rate after 10 minutes on the treadmill.

Please help me understand how to solve these 2 wordproblems:
1.) McMoRan projects that in 2010 world grain supply will be 1.8 trillion metric tons and the supply will be only 3/4 of world grain demand. What will world grain demand be in 2010?
2.) Before Ronald sold two female rabbits, half of his rabbits were femal