Write the division as a fraction
2/3x - 8 = 9
Multiply both sides of the equation by 3
2x-24=27
Move the constant to the right and change the sign
2x=27+24
Add the numbers
2x=51
Divide both sides by 2
2x/2=51/2
X= 25.5
Answer:
4.61% increase (round up as needed)
Step-by-step explanation:
Subtract the smaller amount from the larger to find the dollar difference
Then divide the difference by the original amount
Move the decimal point over two spaces (multiply by 100) to get your percentage
0.0461=4.61%
Round up as needed.
Answer:
10,000 panels
Step-by-step explanation:
A TV panel is being produced by two factory plants
Plant A produced 5000 fewer panels than plant B
Let a represent the number of panels produced by plant A and b represent the number of panels produced by plant B
a= b-5000............equation 1
5% of the panels from plant A were defective
= 5/100
= 0.05
2% of the panels from plant B were defective
= 2/100
= 0.02
The total defective panels of both plants is 450
0.05a + 0.02b= 450..............equation 2
Substitute b-5000 for a in equation 2
0.05(b-5000) + 0.02b= 450
0.05b - 250 + 0.02b= 450
Collect the like terms
0.05b+0.02b= 450+250
0.07b= 700
Divide both side by the coefficient of b which is 0.07
0.07 b/0.07= 700/0.07
b= 10,000
Hence plant B produced 10,000 panels
