What is the result of subtracting the second equation from the first? -2x+y = 0
-7x+3y = 2
Answers
Answer:
-5x + 2y=2
Step-by-step explanation:
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Haily has Bottles that hold 678 pennies each . About how many pennies does she have if she has six bottles filled with pennies
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8 foot = 8*12 inches
Answers
The maximum amount of water that the bottle can hold is approximately 263.8938 cubic inches.
What is a cone?
A cone is a three-dimensional geometric form with a flat base and a smooth, tapering apex or vertex. A cone is made up of a collection of line segments, half-lines, or lines that link the base's points to the apex, which is a common point on a plane that does not include the base.
To find the maximum amount of water that the bottle can hold, we need to calculate the volumes of the cylinder and the cone and add them together.
The volume of the cylinder:
V_cylinder = πr²h
where r is the radius (half of the diameter) of the base, and h is the height of the cylinder.
The radius of the cylinder base is 6/2 = 3 inches, and the height of the cylinder is 8.5 inches, so:
V_cylinder = π(3)²(8.5)
V_cylinder ≈ 226.1947 cubic inches
Volume of the cone:
V_cone = (1/3)πr²h
where r is the radius of the base of the cone, and h is the height of the cone.
The radius of the base of the cone is also 3 inches, and the height of the cone can be found by subtracting the height of the cylinder from the total height of the bottle:
h_cone = total height - height of cylinder = 12.5 - 8.5 = 4 inches
So:
V_cone = (1/3)π(3)²(4)
V_cone ≈ 37.6991 cubic inches
Total volume:
V_total = V_cylinder + V_cone
V_total ≈ 226.1947 + 37.6991
V_total ≈ 263.8938 cubic inches
Therefore, the maximum amount of water that the bottle can hold is approximately 263.8938 cubic inches.
To learn more about the cone;
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Answer:
my best guess even though no answers i would say bout 12
Step-by-step explanation:
Answers
Greetings!
In this question, we need to solve the equation where "k" will be our subject variable.
We were given the equation: 10n = 5(k - 3)
In order for "k" to be the subject, we need to solve for "k" where "k" is by itself.
Solve the equation for k:
10n = 5(k - 3)
Use the distributive property to distribute the 5
10n = 5k - 15
Add 15 to both sides to get 5k by itself
10n + 15 = 5k
Divide both sides by 5 to get "k" by itself
2n + 3 = k
Therefore, when "k" is the subject the equation is rearranged to: k = 2n + 3
Answer:
k = 2n + 3
Answers
Answer:
The number of ways of arranging these items in a row is:
85,765,680
Step-by-step explanation:
It is given that:
An electronic salesperson carries 6 identical amplifier tubes, 5 identical rectifiers, 2 identical condensers, and 4 identical relays.
Hence, the total number of items are:
17 ( since 6+5+2+4=17)
Hence, the number of ways it could be arranged in a row is calculated as:
which on solving gives us: 85,765,680
Hence, the number of ways of doing so is:
85,765,680
Answers