1. Simplify the expression
Combine like terms:
3/4(8x-12)=2(4x+1)-4
6x-9=2(4x+1)-4
6x-9=8 x-2
2. Group all X terms on the left side of the equation
Subtract 8X from both sides:
6x-9=8 x-2
(6x-9)-8x=(8x-2)-8x
-2x-9=(8x-2)-8x
-2x-9=-2
Group all constants on the right side of the equation
Add 9 to both sides of the equation:
-2x-9=-2
(-2x-9)+9=-2+9
-2x=-2+9
-2x=7
Isolate the X
Divide both sides of the equation by -2:
-2x=7
(-2x) 7
——- = —
-2 -2
X= 7
—
-2
X= -7
—
2
Answer:
If total maths hw time = 90 minutes, time spent on word problems = 1/2 hour
Step-by-step explanation:
Let the time available for maths homework be = 90 minutes. It is equal to 1.5 hour (as 1 hour = 60 minutes, 0.5 hour = 30 minutes).
1/3rd of maths homework time, ie 1/3rd of 90 minutes = 30 minutes, is used in doing word problems. These 30 minutes correspond to half (1/2 or 0.5) of an hour, as 1 hour = 30 minutes.
<span>The correct answer is D) $293.32.
Explanation:
We use the formula P=A/D, where P is the payment amount, A is the amount borrowed, and D is the discount factor.
The discount factor is given by the formula D={[(1+r)^n]-1}/[i(1+i)^n], where i is the monthly interest rate as a decimal number and n is the number of months taken for repayment.
For this problem, we have 12.5%; 12.5%=12.5/100=0.125.
This makes the monthly interest rate, i, 0.125/12=0.01042.
The number of months for repayment, n, will be 2*12=24.
Using these we have D={[1+0.01042)^24]-1}/[0.01042(1+0.01042)^24], which gives us D=21.1375.
We plug this in for D in our payment formula.
Additionally, we know that A=6200, since that is what is borrowed: P=6200/21.1375=293.32.</span>
