Answer:
210 ÷7 = 30
Step-by-step explanation:
We can round the numbers to numbers that make the math easier
I will round 208 to 210
We know 21 divide by 7 is 3
210 ÷7 = 30
This is very close to the actual answer.
208÷7 = 29.71428571........
Answer:
A) 12.1 , 12.01
B) infinitely large
Step-by-step explanation:
Give that the function f(x)=x2 describes the area of the square, f(x), in square inches, whose sides each measure x inches. If x is changing.
Using the formula
(f(a + h) - f(a))/h
as x changes from 6 inches to 6.1 inches
a = 6, h = 0.1
= [f(6.1) - f(6)]/0.1
= (6.1^2 - 6^2)/0.1
= (37.21 - 36)/0.1
= 1.21/0.1
= 12.1
and when x changes from 6 inches to 6.01 inches.
a = 6, And h = 0.01
Using the same formula
(f(a + h) - f(a))/h
= [f(6.01) - f(6)]/0.01
= (6.01^2 - 6^2)/0.01
= (36.120 - 36)/0.01
=0.1201/0.01
= 12.01
B) the instantaneous rate of change of the area with respect to x at the moment when x = 6 inches is infinitely large since h = 0
Each pound of potato salad serves 6 people and the average number of pounds of potato salad that each person is served will be
pound.
<u><em>Explanation</em></u>
At a party of 102 people, 17 pounds of potato salad is served.
<u>a.</u> Suppose, each pound of potato salad is served to
number of people.
So, 17 pounds of salad is served to
or
number of people. That means......
![17x= 102\\ \\ x= \frac{102}{17}=6](https://tex.z-dn.net/?f=17x%3D%20102%5C%5C%20%5C%5C%20x%3D%20%5Cfrac%7B102%7D%7B17%7D%3D6)
So, each pound of potato salad is served to 6 people.
<u>b.</u> Suppose, the average number of pounds of potato salad that each person is served is ![y](https://tex.z-dn.net/?f=y)
So, the total number of pounds of salad, served to 102 people
pounds
pounds. That means .....
![102y= 17\\ \\ y= \frac{17}{102}= \frac{1}{6}](https://tex.z-dn.net/?f=102y%3D%2017%5C%5C%20%5C%5C%20y%3D%20%5Cfrac%7B17%7D%7B102%7D%3D%20%5Cfrac%7B1%7D%7B6%7D)
So, the average number of pounds of potato salad that each person is served will be
pound.
Answer:
The possible ways Daniel line up his rock collection are {2, 3, 6 and 9}.
Mitch did not line the place values up right