Answer:
x= -3
Step-by-step explanation:
Distribute 4(2-4x) which leaves you with 8-16x-3x=65
combine the like terms which leaves you with 8-19x=65
subtract 8 from both sides 8-19x-8=65-8 which leaves you with -19x=57
lastly divide -19 from both sides which leaves you with x= -3
Let x represent the amount of money you originally had. The algebraic expression would be: x-20+3×=80.
If you want to solve the equation, it would be: 4x=100, and x=100÷4, which equals 25. So your original money was $25.
Answer:
14x - 8 = 22 + 20x
x = -5
Step-by-step explanation:
Let "the number" be represented by x
Take each part of the statement and translate into algebraic form
"14 times a number" 14x
"decreased By eight" -8
"is" =
"22 Increased by" 22 +
"20 times The same number" 20x
Put the equation together. Solve for x by isolating.
(
14x - 8 = 22 + 20x
14x - 8 - 20x = 22 + 20x - 20x Subtract 20x from both sides
-6x - 8 = 22
-6x - 8 + 8 = 22 + 8 Add 8 to both sides
-6x = 30
-6x ÷ -6 = 30 ÷ -6 Divide both sides by -6
x = -5
Answer: x=14.4
Step-by-step explanation:
Answer: b) rolled three times, number of 2s rolled
d) rolled twice, number of odds rolled
<u>Step-by-step explanation:</u>
A binomial experiment must meet the following criteria:
- There must be a fixed number of trials (rolls)
- Each trial (roll) is independent of the others
- There are only two outcomes (success or fail)
- The probability of each outcome remains constant from trial to trial
a) rolled twice --> satisfies #1 & #2 (n = 2)
X is the sum --> fails #3 (more than two outcomes)
b) rolled three times --> satisfies #1 & #2 (n = 3)
X is the number of 2s rolled --> satisfies #3 & #4 (P success = 1/6)
c) rolled an unknown number of times - fails #1
d) rolled twice --> satisfies #1 & #2 (n = 2)
X is the number of odds rolled --> satisfies #3 & #4 (P success = 1/2)
