Each person gets 2 2/3 cups of ice-cream
Step-by-step explanation:
First, you convert 6 quarts to cups. For every quart, there are 4 cups so you do 6 times 4 and you get 24 then you divide 24 by 9 and you get 2 2/3
Answer:
c=rt is the equation to express the total cost c to use the internet at the coffeehouse for t hours.
Step-by-step explanation:
Given A coffeehouse charges a flat rate, r for each hour customer wants to use the internet. we have to write the equation to express the total cost c to use the internet at the coffeehouse for t hours.
Charges of internet per hour = r
Total hour = t hours
Hence, Cost = (Charges per hour)(Total hours)
=![r\times t](https://tex.z-dn.net/?f=r%5Ctimes%20t)
∴ c=rt
which is the linear equation to express the total cost c to use the internet at the coffeehouse for t hours.
The value of the expression is 4
Answer:
Step-by-step explanation:
PLEASE HELP ME!! ASAP
Given f(x) = x^2 – 10x + k, and the remainder
when f (x) is divided by x + 2 is 32, then what is
the value of k?
Answer:
The table not represent a proportional relationship
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
we have
For x=3, y=17
Find the value of k
-----> ![k=17/3=5.67](https://tex.z-dn.net/?f=k%3D17%2F3%3D5.67)
For x=5, y=27
Find the value of k
-----> ![k=27/5=5.4](https://tex.z-dn.net/?f=k%3D27%2F5%3D5.4)
For x=8, y=42
Find the value of k
-----> ![k=42/8=5.25](https://tex.z-dn.net/?f=k%3D42%2F8%3D5.25)
For x=9, y=47
Find the value of k
-----> ![k=47/9=5.22](https://tex.z-dn.net/?f=k%3D47%2F9%3D5.22)
The values of k are different
therefore
The table not represent a proportional relationship
<u><em>Find the slope of the line</em></u>
(3,17) and (9,47)
m=(47-17)/(9-3)=30/6=5
Find the equation of the line with m=5 and point (3,17)
y-y1=m(x-x1)
substitute
y-17=5(x-3)
y=5x-15+17
y=5x+2
This is the linear equation that represent the points in the table, but this equation not represent a proportional relationship (The line not passes through the origin)