Answer:
6
Step-by-step explanation:
75−3.5y−4y=4y+6
Step 1: Simplify both sides of the equation.
75−3.5y−4y=4y+6
75+−3.5y+−4y=4y+6
(−3.5y+−4y)+(75)=4y+6(Combine Like Terms)
−7.5y+75=4y+6
−7.5y+75=4y+6
Step 2: Subtract 4y from both sides.
−7.5y+75−4y=4y+6−4y
−11.5y+75=6
Step 3: Subtract 75 from both sides.
−11.5y+75−75=6−75
−11.5y=−69
Step 4: Divide both sides by -11.5.
−11.5y
−11.5
=
−69
−11.5
y=6
Hope this helps!
<u>Answer:</u>
The probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made is 0.7744
<u>Solution:</u>
Total number of coils = number of good coils + defective coils = 88 + 12 = 100
p(getting two good coils for two selection) = p( getting 2 good coils for first selection )
p(getting 2 good coils for second selection)
p(first selection) = p(second selection) = 
Hence, p(getting 2 good coil for two selection) = 
Answer:
56 cm
Step-by-step explanation:
The ratio of the lengths of the pieces is 3:4.
The longer piece is 32 cm.
We set up a proportion to find the length of the smaller piece.
Let the length of the smaller piece be x.
3 is to 4 as x is to 32
3/4 = x/32
4x = 3 * 32
4x = 96
x = 24
The smaller piece is 24 cm.
24 cm + 32 cm = 56 cm
Answer:

Step-by-step explanation:
So we have the equation:

First, subtract 9 from both sides:

Divide both sides by -4:

Definition of Absolute Value:

Subtract 3 from both sides:

Divide both sides by 5:

And we're done!