Represent algebraically: If b baseball cards were divided equally is total number of cards is 150
<u>Solution:</u>
Given that, if “b” baseball cards were divided equally among 3 people, each person would receive 25 cards less than if the “b” baseball cards were divided equally between 2 people.
We have to represent it in algebraic form.
Now, number of cards per each person when divided among 3 = number of cards per each person when divided among 2 – 25
Hence, total number of cards are 150
First observe that if ,
Let and . It follows that
Now let , so . Solving for ,
which means
Now solve for .
(note that we assume )
(we omit since is not true)
Answer:
f^-1(x)=w-3
Step-by-step explanation:
1. switch c with f
f=w+3
2. switch w and f
w=f+3
3. solve for f
f=w-3
4. Switch f with f^-1(x)
f^-1(x)=w-3
D. 4/7
Distance from 0 is absolute value. We take the absolute values of all of these and convert them to decimals so we can compare them to each other more easily.
A. |-3/8|=3/8=0.375
B. |-0.3|=0.3
C. |0.27|=0.27
D. |4/7|= about 0.57
Thus, D is the furthest because it has the greatest absolute value.
Answer:
d = 10/72
Step-by-step explanation:
c and d vary inversely
c = k/d
Where,
k = constant of proportionality
d = 2/9 when c = 5
c = k/d
5 = k ÷ 2/9
5 = k × 9/2
5 = 9k/2
Cross product
5*2 = 9k
10 = 9k
k = 10/9
c = k/d
c = 10/9 ÷ d
c = 10/9 × 1/d
c = 10/9d
find d when c = 8
c = 10/9d
8 = 10/9d
Cross product
8*9d = 10
72d = 10
d = 10/72