15-b=4b-5(5-3)
Multiply the bracket by -5
(-5)(5)=-25
(-5)(-3)=15
15-b=4b-25+15
15-b=4b-10
Move 15 to the other side
Sign changes from +15 to -15
15-15-b=4b-10-15
-b=4b-25
Move 4b to the other side.
-b-4b=4b-4b-25
-b-4b=-25
-5b=-25
divide both sides by -5
-5b/-5=-25/-5
Answer: b=5
Answer:
c
Step-by-step explanation:
im pretty sure an additive inverse is just the absolute value
Answer:
Step-by-step explanation:
<u><em> Number </em></u><em> </em><u><em> Estimate using a single digit and power of 10 </em></u>
23,898,497 2 × 10⁷
0.000136 1 × 10⁻⁴
26,857 3 × 10⁴
0.0302 3 × 10⁻²
Just divide both sides by -4. Since you are dividing with a negative number, you will also have to flip the greater than sign.
p > -1/6
A.
If we take 7 paintings to be hung in 7 spaces side by side, the first space can have any one of the 7 paintings, the second space can have any one of the remaining 6 paintings (as 1 is already hung), the third space can have any one of the remaining 5 paintings (as 2 already hung)...It goes on like this.
So we have
ways to arrange all the paintings from left to write. <em>(in factorial notation it is 7!=5040)</em>
B.
We use combinations rather than permutations because order doesn't matter. If we name the paintings A,B,C,D,E,F, and G, groups of 3 paintings of ABC or ACB are the same. So we evaluate
using the combination formula,

We have,

C.
This is similar to part A in some ways. Any 3 pictures can be arranged in
different ways.
. So, 6 different ways.
ANSWER:
A) 5040 ways
B) 35 different groups
C) 6 ways