14. Order from greatest to least?<br> 5.87 x 103, 4.2 x 103, 4.25 x 103, 4.1 x 104

PetSmart.com sold the following varieties of dog food in June 2003.

aivan3 [116]

Let x be the number of bags of Nature's Recipe Venison Meal & Rice Canine 20 percent protein, y be the number of bags of Nutro Max Natural Dog Food 27 percent protein and z be the number of bags of PetSmart Premier Oven Baked Lamb 25 percent protein a dog breeder buys. He wants to make 300 pounds of a mix. Then

20x+17.5y+30z=300.

Now

in 20x pounds of Nature's Recipe Venison Meal & Rice Canine 20 percent protein is 0.2·20x=4x pounds of protein;
in 17.5y pounds of Nutro Max Natural Dog Food 27 percent protein is 0.27·17.5y=4.725y pounds of protein;
in 30z pounds of PetSmart Premier Oven Baked Lamb 25 percent protein is 0.25·30z=7.5z pounds of protein;
in 300 pounds of mix containing 22 percent protein is 0.22·300=66 pounds of protein.

Then 4x+4.725y+7.5z=66.

You get a system

$\left\{\begin{array}{l}20x+17.5y+30z=300\\4x+4.725y+7.5z=66.\end{array}\right.$

From the first equation $z=10-\dfrac{2}{3}x-\dfrac{7}{12}y.$ Substitute it into the second equation:

$4x+4.725y+7.5(10-\dfrac{2}{3}x-\dfrac{7}{12}y)=66.$

Simplify it:

$-x+\dfrac{7}{20}y=-9,\\ \\ 20x-7y=180.$

y must be divided by 20, then

y=0, x=9, z=10-6=4;
y=20, x=16, z is not a whole number;
y=40, x=23, z is not a whole number;
y=60, x=30, z=10-20-35<0;
thus, all other possible z will be <0.

Answer: 9 bags with 1st mix, 0 bags with 2nd mix and 4 bags with 3rd mix.

5 0

3 years ago

The graph shows the population of black toads in a forest reserve since their introduction. It also includes functions drawn by

34kurt

Function B best models the researcher's data because it passes through most of the points.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

A graph of best fit can be determined by drawing a straight line or curve on a scatter plot so that the number of points above the line and below the line is about equal and the graph passes through most of the points.

Function B best models the researcher's data because it passes through most of the points.

Find out more on equation at: brainly.com/question/2972832

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