Set up a proportion. 4 3/4 cup broth is to 10 servings as x cups broth is to 1 serving soup.
x= amount of broth in one serving
(4 3/4)/10= x/1
cross multiply
(4 3/4)(1)= 10x
convert 4 3/4 to improper fraction
(19/4)(1)= 10x
19/4= 10x
divide both sides by 10
19/4 ÷ 10= x
to divide fractions, multiply by reciprocal of 10
19/4 * 1/10= x
multiply numerators; multiply denominators
(19*1)/(4*10)= x
19/40 cup= x
ANSWER: 19/40 cup in one serving
Hope this helps! :)
Answer:
f(n)=-5-3n
Step-by-step explanation:
Given the recursive formula of a sequence
f(1)=−8
f(n)=f(n−1)−3
We are to determine an explicit formula for the sequence.
f(2)=f(2-1)-3
=f(1)-3
=-8-3
f(2)=-11
f(3)=f(3-1)-3
=f(2)-3
=-11-3
f(3)=-14
We write the first few terms of the sequence.
-8, -11, -14, ...
This is an arithmetic sequence where the:
First term, a= -8
Common difference, d=-11-(-8)=-11+8
d=-3
The nth term of an arithmetic sequence is determined using the formula:
T(n)=a+(n-1)d
Substituting the derived values, we have:
T(n)=-8-3(n-1)
=-8-3n+3
T(n)=-5-3n
Therefore, the explicit formula for f(n) can be written as:
f(n)=-5-3n
The greatest common factor is 2
Answer:
Equivalent expression of 
is, 
Step-by-step explanation:
The distributive property says that:
Given the expression:
Apply the distributive property:
Simplify:
Therefore, the equivalent expression of is,
Intersection point or point of intersection
