Answer: p >
Step-by-step explanation:
-21p + 69 > -49p + 81
-69 -69
-21p > -49p + 12
+49p +49p
28p > 12 divide both sides by 28
p > 12/28
reduce it p> 3/7
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<span>x = angle 90 - x = measure of complement of x 180 - x = measure of supplement of x From the information given in the problem, we get this: 180 - x = 7 (90 - x) 180 - x = 630 - 7x -x + 7x = 630 - 180 6x = 450 x = 450/6 x = 75. Now we prove that x = 75° is the correct angle: x = 75° = measure of angle 90° - 75° = 15° = meaure of complement 180° - 75° = 105° = 7 (15°)</span>
Answer:
it will be c
Step-by-step explanation:
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

From the first equation
Substitute it into the second equation:

Simplify it:

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.