70 miles per hour
5280 feet per mile
5280 x 70 = 369600 feet per hour
3600 seconds per hour
369600 divided by 3600 =
102.67 feet per second (rounded to the nearest hundredth)
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.
Answer:
First one is d and second one is c
Step-by-step explanation:
(6x+7)(x-8)
(6x)(x) = 6x^2
(6x)(-8) = -48
(7)(x) = 7x
(7)(-8) = -56
Add all like terms together and you get choice d.
(w+3)(w-3)
(w)(w) = w^2
(w)(-3) = -3w
(3)(w) = 3w
(3)(-3) = -9
Add all like terms together and you get choice c
When A is divided: A /
By the sum of a certain number and 10: (n + 10)
When A is divided by the sum of a certain number and 10: A / (n + 10)
The result is the same as: =
Dividing 3: 3 /
By the sum of that number and 4: (n + 4)
The result is the same as dividing 3 by the sum of that number and 4: 3 / (n + 4).
Final Equation: A / (n + 10) = 3 / (n + 4)
To solve, we'll need to cross-multiply. Without knowing the value of A, however, the answer will not be a numerical value.
3(n + 10) = A(n + 4)
3n + 30 = An + 4A
30 - 4A = An - 3n
30 - 4A = n(A - 3)
n = (30 - 4A) / (A - 3)
If you know the value of A, then please plug it in to the value for n given above.
Hope this helps!
Answer:
no
Step-by-step explanation:
