Relative frequency of plastic buttons with four holes is 28/80 = 0.35
Relative frequency of plastic buttons with two holes is 15/80 = 0.1875
Relative frequency of wooden buttons with two holes is 34/80 = 0.425
Relative frequency of wooden buttons with four holes is 3/80 = 0.0375
0.35 + 0.1875 + 0.425 + 0.0375 = 1
Pick any two pairs of equations<span> from the system. Eliminate the same </span>variable<span> from each pair using the Addition/Subtraction method. Solve the system of the two new </span>equations<span> using the Addition/Subtraction method.</span>
We are given : Cost of a gallon of milk = $2.50.
Cost of a cup of yogurt = $1.20.
Total money Monica has = $20.
Number of cups of yogurt Monica can buy = x.
And inequality made is also correct
1.20x + 2.5 ≤ 20.
Now, we need to solve it for x.
Subtracting 2.5 from both sides, we get
1.20x + 2.5 -2.5 ≤ 20 - 2.5.
1.20x ≤ 17.5
Dividing both sides by 1.20, we get
1.20x/1.20 ≤ 17.5/1.20.
x ≤ 14.5833...
Because it's less than 15, so final answer is : 14 is greatest number of cups of yogurt Monica can buy.
Answer:
Converges, 57.6
Step-by-step explanation:
48, 8, 4/3, 2/9...
ratio = 8/48 = 1/6
A sequence converged if the ratio is between -1 and 1.
So, this sequence converges
Limit = a/(1-r)
Where a is the first term, and r is the common ratio
Limit = 48/[1 - (1/6)]
= 48/[5/6]
= 48 × 6/5
= 57.6
Answer:
Step-by-step explanation:
we know that
----> by supplementary angles (form a linear pair)
Solve for x
Combine like terms
subtract 99 both sides
Divide by 3 both sides
