The solution is x = 8 and y = 2
<em><u>Solution:</u></em>
<em><u>Given are the system of equations</u></em>
2x + 3y = 22 -------- eqn 1
-2x + 5y = -6 ----- eqn 2
We can solve the system of equations by elimination method
<em><u>Add eqn 1 and eqn 2</u></em>
Eqn 1 + Eqn 2
2x + 3y -2x + 5y = 22 - 6
0x + 3y + 5y = 16
8y = 16
Divide both sides of equation by 8
<h3>y = 2</h3>
Substitute y = 2 in eqn 1
2x + 3(2) = 22
2x = 22 - 6
2x = 16
<h3>x = 8</h3>
Thus the solution is x = 8 and y = 2
Answer:
-6x+6+4x^2
Step-by-step explanation:
Distribute the -3
-3(x-2)= -3x+6
Combine like terms
<u>-3x</u>+6<u>-2x</u>+4x^2
-6x+6+4x^2
The probability of getting a 2 or a getting a black card, find individual probabilities;
A standard deck has 52 cards.
There are 4 2's in a normal deck; probability of getting it is 4/25
The probability of getting a black card is; 26/52 since half the deck is red and black.
Now add up the probabilities since it says "or"
(4/52)+(26/52)=30/52 probability of the card that you were dealt being a two or a black card.
Hope I helped :)
Answer:
Surface area = 4 π r2 square units
Step-by-step explanation:
Answer:
The volume of the sphere is 1436 in³
The equation is
V = ⁴⁄₃ * 3.14 * (7ft)³
Step-by-step explanation:
radius = half of diameter
d = 14ft
r = 14ft / 2 = 7ft
To calculate the volume of a sphere we have to use the following formula:
V = volume
r = radius = 7ft
π = 3.14
V = ⁴⁄₃πr³
we replace with the known values
V = ⁴⁄₃ * 3.14 * (7ft)³
V = 4.187 * 343 in³
V = 1436 in³
The volume of the sphere is 1436 in³
