You have 13 oreos in the plate
Answer:
33 months
Step-by-step explanation:
Set up the equation
x represents months
5x + 10 = 175
subtract 10 from both sides
5x = 165
Divide both sides by 5
x = 33
Answer:
ACT Score performed better.
Step-by-step explanation:
Given :
ACT :
Mean score, μ = 21.2
Standard deviation, σ = 5.1
Score, x = 26
SAT :
Mean score, μ = 1498
Standard deviation, σ = 347
Score, x = 1800
To know which score is better, we obtain the standardized, Z score of the two examination :
Zscore = (x - μ) / σ
ACT Zscore :
(26 - 21.2) / 5.1
Zscore = 4.8 / 5.1 = 0.941
ACT Zscore = 0.941
SAT Zscore :
(1800 - 1498) / 347
Zscore = 302 / 347 = 0.870
SAT Zscore = 0.870
The student with the higher Zscore performed better :
ACT Zscore > SAT Zscore
Standard form is ax+by=c, we like a and b to be integers, we also like a to be positive
basically get x and y on one side
so
y-4=(3/4)(x+8)
distribte the 3/4
y-4=(3/4)x+6
minus 3/4x from both sides
-(3/4)x+y-4=6
add 4 to both sides
(-3/4)x+y=10
times both sides by -4
3x-4y=-40
To see the effect on Robertos balance sheet, we will first have to get the total assets and liabilitiesTotal assets = cash+ investment+ house + carTotal liabilities= credit card + personal loan + mortgage + car loanSubstituting the values, we will getTotal asset =$166000Total liabilities =$1010000Difference= $844000To pay off car loan, he uses his investmentTotal asset = $166000-5000 =$161000Total liabilities= $1010000-5000 =$1005000Difference=$844000Therefore the answer is letter C, the difference between asset and liability will remain the same.