9514 1404 393
Answer:
(x, y) = (4, 9)
Step-by-step explanation:
Perhaps the ordered pair you want is the one that satisfies both equations.
We can find that by equating the expressions for y:
x +5 = 3x -3
8 = 2x . . . . . . . . add 3-x to both sides
4 = x . . . . . . . . . divide by 2
y = 4+5 = 9
The ordered pair is (x, y) = (4, 9).
Answer:
Side length =
cm , Height =
cm , Volume =
cm³
Step-by-step explanation:
Assume
Side length of base = x
Height of box = y
total material required to construct box = A ( given in question)
So it can be written as
A = x² + 4xy
4xy = A - x²

Volume of box = Area x height
V = x² ₓ y
V = x² ₓ (
)
V = 
To find max volume put V' = 0
So taking derivative equation becomes

A = 3 
= 
x = 
put value of x in equation 1
y =
y = 
y = 
So the volume will be
V =
× y
Put values of x and y from equation 2 & 3
V = 
V = 
Ok so first, you put the sides into a ratio. The question says that triangle GKNM is congruent to triangle VRPT. From this, we know that side GK is congruent to VR. So, we write that as a ratio. Also, we know that KN is congruent to RP. We also write that as a ratio. Then, using equations, we solve for x. But, we aren't done yet; the expression for side KN is 3x-2 and, we already know that x is equal to 4.4
So, we do 3*4.4-2 which is 11.2. Therefore, side KN is equal to 11./2Then, the expression for side RP is x+4. We already know that x is equal to 4.4. So, we do 4.4+4 which is 8.4. Therefore, side RP is equal to 8.4.
Oh, and the scale factor is 4:3 or 1.33 because you do 8.4/6.3 ( you can also do 11.2/8.4)
hope this helps ;)
The table have the following results:
Hearts – 7
Diamonds – 4
Clubs – 8
Spades – 5
There is a total of 24
The question is asking for the probability of not
selecting a heart.
So we need to add the probabilities of the diamonds,
clubs, and spades since these suits are different from hearts.
So = 4 + 8 + 5 = 17
And we have a total of 24 cards
<span>Therefore the probability is 17/24. </span>