Anson estimated he would need 17 hours to complete his science project. He actually needed 9 1/2 hours. What was his percent error?
a. 12.8%
b. 14.7%
c. 82.7%
d.115%
For which expressions would you use the Distributive Property? Select two answers.
a.6.5(11.5)
b. 2.1(5.3 + 6.9)
c. -8.4(1.5 - 7.3)
d. -12.5(3.9) + 5.1
e. 1.9 - 6.2(9.4)
plz help ^-^
(19 1/2 - 17)/17 = 0.147 = 14.7%
a(b+c) = ab + ac
for the first one i mean 19 1/2
i dont understand
the second question
To find Anson's percent error, we need to calculate the difference between his estimated time and actual time, divide it by the estimated time, and then multiply by 100 to get the percentage.
First, let's find the difference between the estimated time and actual time:
17 hours - 9 1/2 hours = 17 - 9.5 = 7.5 hours
Next, let's calculate the percent error:
Percent Error = (Difference / Estimated Time) x 100
= (7.5 / 17) x 100
= 0.441 x 100
= 44.1%
Therefore, Anson's percent error is 44.1%.
The correct option for the percent error is not among the choices provided, so none of the options a, b, c, or d is correct.
Now, let's move on to the second question.
The Distributive Property is used to simplify expressions where a number is multiplied by a sum or difference of terms. It helps distribute the multiplication across each term.
Let's go through the given options to determine which expressions involve the Distributive Property.
a. 6.5(11.5)
Here, we are multiplying 6.5 by 11.5. This is a straightforward multiplication without any distribution. The Distributive Property is not used.
b. 2.1(5.3 + 6.9)
In this expression, we have a sum of two terms inside the parentheses, which are then multiplied by 2.1. This involves using the Distributive Property because we need to distribute the multiplication across both terms inside the parentheses.
c. -8.4(1.5 - 7.3)
Similarly to the previous expression, we have a difference of two terms inside the parentheses. To simplify this expression, we distribute -8.4 across both terms, which involves using the Distributive Property.
d. -12.5(3.9) + 5.1
In this expression, we are multiplying -12.5 by 3.9. Again, this is a straightforward multiplication without any distribution.
e. 1.9 - 6.2(9.4)
Here, we have a sum involving multiplication. However, since the multiplication is at the end of the expression, the Distributive Property is not needed.
Based on the explanations above, the two expressions that use the Distributive Property are options b and c:
b. 2.1(5.3 + 6.9) and
c. -8.4(1.5 - 7.3).