Answer: 
Step-by-step explanation:
The volume of a cylinder can be found with the following formula:
Where "r" is the radius and "h" is the height of the cylinder.
In this case, you know that the diameter of the can is:
Since the radius is half the diameter, this is:
And the height is:
Therefore, substituting values into the formula and using 
, you get that the volume of the can, rounded to the nearest hundredth, is:
Answer:
Step-by-step explanation:
To create a system of equations, write an equation to model each condition that must be satisfied in the given situation.
It is given that x represents the width of the flower bed and that y represents the area of the base of the birdbath.
Write an equation to represent the condition regarding the planting area in the flower bed. It is given that there is 35 square feet of planting area. The flower bed is 3 feet longer than the width.
x(x+3) - y = 35
Write an equation to represent the condition regarding the cost of the soil and the birdbath. The question gives that the soil will cost $5 per square foot and the birdbath will cost $18 per square foot of the base.
5x(x+3)+18y=150
Combining both of the equations gives the following system of equations.
x(x+3)-y=35
5x(x+3)+18y=150
Answer:
1. Ba + B3
2. 100 + 5g
3. 25y - 14
4. 6 + 2x
5. 2Ba + B
6. 8h - 12
7. 28e + 24
8. -20y + 72
9. 39 - 21w
10. 3x + 6
11. 5 + 2y
12. 3a + 10
13. 4k + 7
14. 42 + 11r
15. 13w + 15
16. 5a + 34
17. 22f - 12
18. 9x + 2
Step-by-step explanation:
I hope this was helpful! <3
Could I get brainliest?
An interesting question!
Instead of solving each set of non-linear system of equations 6 times, I will try a simpler way, which is more adapted to multiple choice questions. However, please be warned that this method will not improve immensely math skills, but will help with reasoning, and possibly a broader understand in system of equations.
For simplicity, I will denote the sets of system of non-linear equations by S={A,B,C,D,E,F} from left to right.
1. given solutions {(-2,3),(7,-6)}
We first check each member of S, i.e. A,B,C,D,E,F for the linear conditions.
A: x+y=-2+3=1 ≠ 3 so no
B: x-y=-2-3=-5 ≠ 1 so no
C: 2x+y=-2(2)+3=-1 ≠ 1 so no
D: x+2y=-2+3(2)=4 ≠ 2 so no
E: -x+y=2+3=5 ≠ 1 so no
F: x+y=-2+3=1 ≠ 3 so YES now check the other solution 7-6=-1 OK
Now check the non-linear condition for F:
S1: (-2,3)
y-15=3-15=-12
-x^2+4x=-(-2)^2+4*(-2)=-12 good
S2:(7,-6)
y-15=-6-15=-21
-x^2+4x=-(7^2)+4(7)=-49+28=-21 also good,
So Solution set (1) matches tile F
(2) Given solutions {(-5,8),(3,0)}
We proceed in a similar way, to find that
-5+8=3 & 3+0=3 (matches A) and nothing else.
Check non-linear conditions (optionally, I transposed the terms to make comparison easier)
A. x^2+x-y=(-5)^2+(-5)-8=25-5-8=12 (looks good)
x^2+x-y=(3)^2+(3)-0=9+3=12 (looks even better)
So we determined that {(-5,8),(3,0)} is the solution for tile A.
(3) For solution set {(-2,5),(3,-5)}
Check linear conditions:
x+y=3 and -3, so does not satisfy A,& F.
x-y=-7 and 8, so does not satisfy B
2x+y=5 and 1 so satisfies C
x+2y=8 & -7 so does not satisfy D
-x+y=7 & -8 so does not satisfy E
Thus C is our only set. NOTE: if two distinct points satisfy one linear condition (say C), then both points cannot satisfy another non-equivalent linear condition, i.e. we didn't really have to check points D & E (which are not equivalent linear conditions as C) once we have found C.
Now check non-linear conditions:
x^2-3x-y=(-2)^2-3(-2)-5=5 ok
x^2-3x-y=(3)^2-3(3)-(-5)=5 ok
So solution set (3) matches tile C.
@officiallyqueenz, for your benefit, I will leave one for you as exercise. Please proceed to find the system for solution set (4). Post a your work as comments if you get stuck, or your answer for verification if you wish.
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Let the amount of dollars in goods sold be x, then her earning is 1850 + (4/100)x = 1850 + 0.04x.
For her to earn more than $2300, we have:
1850 + 0.04x > 2300
0.04x > 2300 - 1850
0.04x > 450
x > 450 / 0.04
x > $11,250
