Answer:
Change produced in cone is greater than change produced in cylinder.
Step-by-step explanation:
Given : A cylinder and a cone start with the same radius and height.
We have to find which change produces a greater increase in volume.
We know Volume of cylinder =
and Volume of cone =
Where r is radius and h is height.
Let r' and h' denotes new radius and new height
Consider Cylinder first ,
The radius of the cylinder stays the same, but the height of the cylinder is doubled.
that is r' = r and h' = 2h
Then Volume of new cylinder becomes,
Volume of cylinder =
that is
Now, Consider Cone, we have,
The radius of the cone is then tripled, and the height of the cone is cut in half.
r' = 3r and h' =
Thus, The volume of new cone becomes,
Volume of cone =
that is
Thus, Change produced in cone is greater than change produced in cylinder.
a
2s + 2p = 37
3s + p = 42
b
2s + 2p = 37
s + 3p = 42
c
2s + 2p = 42
3s + p = 37
d
2s + 2p = 42
s + 3p = 37
Answer:
2s+2p = 42,
3s+p = 37,
2 shirts at 8 = 16,
2 pants at 13 = 26.
Hope this helps.
Step-by-step explanation:
It has 3 terms and a degree of 5.
It has 3 terms and a degree of 7.
It has 4 terms and a degree of 5.
It has 4 terms and a degree of 7.
Answer:
it has 4 terms and a degree of 7
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
just took the test
Answer:
HERE
Step-by-step explanation:
To determine which system has x = 3 and y = 2.5 as its solution, we need to substitute these values into each system of equations and check which one satisfies the conditions.
System 1: 7x - 5y = 33.5
Substituting x = 3 and y = 2.5:
7(3) - 5(2.5) = 21 - 12.5 = 8.5
System 2: 3x + 3y = 1.5
Substituting x = 3 and y = 2.5:
3(3) + 3(2.5) = 9 + 7.5 = 16.5
System 3: 4x + y = 9.5
Substituting x = 3 and y = 2.5:
4(3) + 2.5 = 12 + 2.5 = 14.5
System 4: 5x - y = 12.5
Substituting x = 3 and y = 2.5:
5(3) - 2.5 = 15 - 2.5 = 12.5
System 5: 2x - 5y = 18.5
Substituting x = 3 and y = 2.5:
2(3) - 5(2.5) = 6 - 12.5 = -6.5
System 6: x + y = 5.5
Substituting x = 3 and y = 2.5:
3 + 2.5 = 5.5
System 7: 11x + 10y = 8
Substituting x = 3 and y = 2.5:
11(3) + 10(2.5) = 33 + 25 = 58
System 8: 5x - 2y = -20
Substituting x = 3 and y = 2.5:
5(3) - 2(2.5) = 15 - 5 = 10
From the calculations, we can see that only System 4: 5x - y = 12.5 satisfies the given conditions when x = 3 and y = 2.5. Therefore, the correct answer is System 4.
Answer:
12.5%
Step-by-step explanation:
Take the number of eggs that were broken over the total number of eggs
3/24
1/8
As a decimal
.125
Change to percent form
12.5%
Answer: 12.5%
Explanation:
3/24, or 1/8 of Mrs. Post’s eggs broke,
1/8 as a decimal is 0.125
0.125 as a percent is 12.5%
b. ±i
c. ±2
d. ±1
e. ±1, ±i√3