Answer:
a) Let's define the variables:
t = number of tulips bought
r = number of roses bought
We know that each tulip costs $5, and each rose costs $3.
Then the total cost will be:
$5*t + $3*r
We know that Morty spent a total of $54, then we have the equation:
$5*t + $3*r = $54
We also know that he bought a total of 14 flowers, then:
r + t = 14
Then the system of equations is:
$5*t + $3*r = $54
r + t = 14
b) To solve the system, first, we need to isolate one of the variables in one of the equations. I will isolate r in the second one:
r = 14 - t
Now we can replace this into the other equation:
$5*t + $3*r = $54
$5*t + $3*(14 - t) = $54
Now we can solve this for t.
$5*t + $3*14 - $3*t = $54
$2*t + $42 = $54
$2*t = $54 - $42 = $12
t = $12/$2 = 6
t = 6
He bought 6 tulips.
Now we can use the equation r = 14 - t
r = 14 - 6 = 8
r = 8
He bought 8 roses.
Answer:
Expression D has the least value
The expected value is -$0.33.
The probability of winning is 1/6. The probability of losing is 5/6.
If you win, your prize is 10-2 = 8, since you paid $2 to pay the game. If you lose, you lose the $2 you spent.
The expected value would be the probability of winning, 1/6, multiplied by the winnings, 8, added to the probability of losing, 5/6, multiplied by the loss, -2:
1/6*8 + 5/6(-2) = 8/6 - 10/6 = -2/6 = -0.33
Answer:
9 ÷ 15x
Step-by-step explanation:
( 52 - 43 ) /3x ( 2 + 3)
PEMDAS
Parenthesis, Exponents, Multiplication, Divison, Addition, Subtraction
Do the parenthesis first.....
52 - 43 = 9
9 ÷ 3x ( 2 + 3)
Parenthesis ( do the distributive property...multiply 3x by whatever is inside the parenthesis)
9 ÷ 3x × 2 + 3x × 3
9 ÷ 6x + 9x
Combine like terms (both x's)
9 ÷ 15x
You can't do anymore, since it is just an expression, and not an equation
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer:
The ratio is 3/4: 2
The value of the ratio is 3/8
The amount of club soda is 3/8 times the amount of white grape juice
