Answer:
Step-by-step explanation:
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(6-8)^2+(4+5)^2
d^2=4+81
d^2=85
d=(85)^(1/2)
d=9.22 (rounded to nearest hundredth)
Answer:
10
Step-by-step explanation:
when you divide 80.88 by 8.425 you get 9.6
and since youre rounding, you can round up 6 because its higher than 5
and your final answer should be 10.
hoped this helped! :)
Answer:
n = 59
Step-by-step explanation:
The given equation of n is
and we have to solve it for n.
........... (1)
⇒
{Rationalizing the numerator}
⇒
.............. (2)
Now, adding (1) and (2) we get
⇒ n + 5 = 64 {Squaring both sides}
⇒ n = 59 (Answer)
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.