Answer: x = 5/7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1/3 (x + 1) + 2x = 2
(1/3) (x) + (1/3) (1) + 2x = 2 (Distribute)
1/3x + 1/3 + 2x = 2
(1/3x + 2x) + (1/3) = 2 (Combine Like Terms)
7/3x + 1/3 = 2
Step 2: Subtract 1/3 from both sides.
7/3x + 1/3 - 1/3 = 2 - 1/3
7/3x = 5/3
Step 3: Multiply both sides by 3/7.
(3/7) * (7/3x) = (3/7) * (5/3)
Answer: x = 5/7
Answer: .97 cents
Step-by-step explanation:
$3.88 ÷ 4 bottles of Gatorade = .97 cents each
Answer:
B because Comp A is $60 for sure plus $42.95 per month and Comp B is $25 for sure and $49.95 per month
The probabilities are:
- P(red) = 5/24
- P(orange) = 0
- P(blue) = 1/3
- P(not green)= 17/24
- P(green or black) = 11/24
- P(not yellow) = 1.
<h3>
How to find the probabilities?</h3>
The probability of getting a particular color of marble, is given by the quotient between the number of marbles of that color and the total number of marbles.
Here we have:
- 5 red marbles.
- 7 green marbles.
- 4 black marbles.
- 8 blue marbles.
So the total number is 5 + 7 + 4 + 8 = 24.
Then:
- P(red) = 5/24
- P(orange) = 0/24 = 0 (because there are 0 orange marbles).
- P(blue) = 8/24 = 1/3
- P(not green) = (24 - 7)/24 = 17/24
- P(green or black) = (4 + 7)/24 = 11/24
- P(not yellow) = 24/24 = 1 (because there aren't yellow marbles).
If you want to learn more about probability, you can read:
brainly.com/question/251701
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The mathematical sentence can be written as:
x^3 = y^5
<h3>
How to write the expression?</h3>
A number a to the power of n is written as:
a^n
Then:
"x to the power of 3 is equal to y to the power of 5"
Would be written as:
x^3 = y^5
Particularly, this does not appear in the given options, but this is the correct and simplest way of writing the given mathematical sentence.
If you want to learn more about expressions, you can read:
brainly.com/question/4344214
