Answer:
x=5, y=4. (5, 4).
Step-by-step explanation:
2x-3y=-2
4x+y=24
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-2(2x-3y)=-2(-2)
4x+y=24
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-4x+6y=4
4x+y=24
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7y=28
y=28/7
y=4
4x+4=24
4x=24-4
4x=20
x=20/4
x=5
When you first pick a ticket, there are 2 winning tickets and 40 total tickets. This means that there is a 2/40 chance of your ticket being a winning one. This fraction can be reduced to 1/20.
After this, there will be 1 winning ticket left and 39 total tickets. There is a 1/39 chance of the next ticket being a winning one. We multiply these two fractions together to get our answer. 1/20 * 1/39 = 1/780, so there is a 1/780 chance of having 2 winning tickets.
Answer: Each have to sell 91 candy bars to have the same amount of money.
Step-by-step explanation: Suppose x represents the amount of candy bars.
Team A already have $165 and they are selling each candy bar for $2. The mathematical equation that represents the amount of money they have is
A: 165 + 2x
Team B initially has $74 and will sell each candy bar for $3. Then, the mathematical equation representing their amount of money is
B: 74 + 3x
So, to have the same amount of money:
165 + 2x = 74 + 3x
x = 165 - 74
x = 91
<u>Teams A and B will have the same amount of money when each of them </u><u>sell 91 candy bars</u>.
The answer is
C) 22x^2-x+17
Answer:
B. x^3 + 3x^2
Step-by-step explanation:
Volume of a rectangular prism=width * length * height
V=w*l*h
h=3 greater than the length of the base
h=x+3
Length of the base=x
Width=x
Substituting values into the formula
V=w*l*h
=(x)*(x)*(x+3)
Multiplying
=(x^2)(x+3)
=x^3 + 3x^2
Option B is the correct answer
