The equation computed shows that the number of days until both containers have the same weight of food in them will be 12 days.
<h3>How to calculate the equations?</h3>
From the information given, the instructions say to feed the old dog 2/3 pound of food each day from the bin with 25 lbs of kibble in it. the equation will be:
= 25 + 2/3d
= 25 + 0.67d
Also, the puppy is to get 1/4 pound of food each day from the bag with 20 lbs of puppy kibble in it. This will be:
= 20 + 1/4d
= 20 + 0.25d
The number of days until both containers have the same weight of food in them will be:
25 + 0.67d = 20 + 0.25d
0.67d - 0.25d = 20 - 25
0.42d = 5
d = 5/0.42
d = 11.9
d = 12 days
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
Answer:
D
Step-by-step explanation:
1+3
4
Add the ratios together: 2 + 3 +4 = 9
Divide the total tips by 9:
77.40 / 9 = 8.60
Multiply each portion of the ratio by 8.60:
2 x 8.60 = 17.20
3 x 8.60 = 25.80
4 x 8.60 = 34.40
The ratios are in order of the people:
Paul got 17.20
Colin got 25.80
Brian got 34.40
Brian got 34.40 - 17.20 = 17.20 more than Paul
Sin³ x-sin x=cos ² x
we know that:
sin²x + cos²x=1 ⇒cos²x=1-sin²x
Therefore:
sin³x-sin x=1-sin²x
sin³x+sin²x-sin x-1=0
sin³x=z
z³+z²-z-1=0
we divide by Ruffini method:
1 1 -1 -1
1 1 2 1 z=1
-------------------------------------
1 2 1 0
-1 -1 -1 z=-1
--------------------------------------
1 1 0 z=-1
Therefore; the solutions are z=-1 and z=1
The solutions are:
if z=-1, then
sin x=-1 ⇒x= arcsin -1=π+2kπ (180º+360ºK) K∈Z
if z=1, then
sin x=1 ⇒ x=arcsin 1=π/2 + 2kπ (90º+360ºK) k∈Z
π/2 + 2kπ U π+2Kπ=π/2+kπ k∈Z ≈(90º+180ºK)
Answer: π/2 + Kπ or 90º+180ºK K∈Z
Z=...-3,-2,-1,0,1,2,3,4....
