Answer: 6.40 = c
Step-by-step explanation:
a^2 + b^2 = c^2
5^2 + 4^2 = c^2
25 + 16 = c^2
41 = c^2
____
_/ 41 = c
6.40 = c
Question 1 Answer:
Aunt 1 and Grandma 1 would fill gift bags.
Mom and Aunt 2 would make centerpieces.
You and Grandma 2 would blow up balloons.
Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.
Question 2 Answer:
We use algebra and our previous pairings to determine the length of each task.
<u>Gifts Bags --> 6/7 hours</u>
x = time together
= rate of completion
Aunt 1 = Grandma 1 =
<u>Centerpieces --> 7/4 hours</u>
x = time together = rate of completion
Mom = Aunt 2 =
<u>Balloons --> 15/16 hours</u>
x = time together = rate of completion
You = Grandma 2 =
Shortest amount of time to complete all tasks is:
≈ 3.54 hours
Converting hours to hours and minutes --> 3 hours 32 minutes
Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.
A^-b is the same as 1/a^b.
When there is a negative power, place the number and power over 1.
a^b/a^c = a^(b-c).
c is a negative power, because it is being divided, and is underneath b, which is a positive (and so it stays in the numerator).
a^c/b^c = (a/b)^c
Inside this one, the power of c is distributed to all numbers inside the parenthesis, in this case a and b.
hope this helps
Given the equation, 5x + 22 = 27:
The goal is to isolate the variable. Hence, a few mathematical operations are necessary to solve for the value of x.
Start by subtracting 22 both sides:
5x + 22 - 22 = 27 - 22
5x + 0 = 5
5x = 5
Next, divide both sides by 5 to isolate and solve for the value of x:
5x/5 = 5/5
x = 1
In order to verify whether x = 1 satisfies the give equation, we must substitute its value into the given equation:
5x + 22 = 27
5(1) + 22 = 27
5 + 22 = 27
27 = 27 (True statement. This implies that x = 1 is the correct value that satisfies the equation).
Therefore, the correct answer is x = 1.
Answer:
65 and 155
Step-by-step explanation:
I just did the answer and I got it right so trust me