Answer:
<em>The percent error of the cyclist's estimate is 5.63%</em>
Step-by-step explanation:
<u>Percentages</u>
The cyclist estimates he will bike 80 miles this week, but he really bikes 75.5 miles.
The error of his estimate in miles can be calculated as the difference between his estimate and the real outcome:
Error = 80 miles - 75.5 miles = 4.5 miles
To calculate the error as a percent, we divide that quantity by the original estimate and multiply by 100%:
Error% = 4.5 / 80 * 100 = 5.625%
Rounding to the nearest hundredth:
The percent error of the cyclist's estimate is 5.63%
Answer:
5.1x - 1.49y
Step-by-step explanation:
We need to add or substract like terms.
like terms are the terms that have the same variable, in this case:
3.27x and 1.83x are like terms, and adding them we get:
3.27x + 1.83x = 5.1x (you add only the coefficients and the x stays the same)
we do the same for the terms with 'y':
1.28y and −2.77y are like terms, but in this case we must substract because of the − sign:
1.28y −2.77y = -1.49y
the final answer is the conjunction of the two results that we obtained:
5.1x - 1.49y
Answer:
A
Step-by-step explanation:
We can write a system of equations:
1x + 10y = 182
x + y = 56
Where 'x' is the number of $1 bills, and 'y' is the number of $10 bills.
To find this we can solve using substitution.
Re-arrange the 2nd equation:
x + y = 56
Subtract 'y' to both sides:
x = -y + 56
Now we can plug in '-y + 56' for 'x' in the first equation.
1x + 10y = 182
1(-y + 56) + 10y = 182
-y + 56 + 10y = 182
Subtract 56 to both sides:
-y + 10y = 126
Combine like terms:
9y = 126
Divide 9 to both sides:
y = 14
Now we can plug this into any of the two equations to find the 'x' value.
x + y = 56
x + 14 = 56
Subtract 14 to both sides:
x = 42
So our final answer is (42, 14).
This means that the motel clerk had 42 $1 bills, and 14 $10 bills.
The answer is
B. 13ab
5ab+9ab-ab
=(5ab+9ab)-ab
14ab-ab
=13ab
Hope it helped : )
