Answer:
n = -1.825
Step-by-step explanation:
8n + 16.2 = 1.6 (Given)
8n = -14.6 (Subtract 16.2 on both sides)
n = -1.825 (Divide 8 on both sides)
Ans
x = -24
x = 6 2/3
workings in the pic below :)
sry if it’s incorrect
Answer - D.
you basically find the equation of the line first and eliminate the wrong answers...
Strategy: before u do any of this, label your coordinates as (X1,Y1) and (X2,Y2) and u can choose any of ur points to be as x1 or x2 or y1 or y1...
basically, I'll choose (6,7) as (x1,y1) and (2,-1) as (x2,y2). SO,
First you have to find the gradient (m) of the line.
you do this by using the formula m = Y2-Y1 / X2-X1 (where '/' is division sign) ....
Put the numbers in their respective places and your gradient will be 2x. we put the x after our number to represent it as a gradient as the straight line formula is y = mx+c and you've found the m.
NOW.
use the formula Y-Y1=m(x-x1) to find the equation of the line.Again u can use any Y1 and X1 here but remember your m is 2
replace the digits and solve...Hopefully you'll get sth like this if you use the points (6,7):
Y-7 = 2(x-6) ....
y=2x-12+7...
Y=2x-5! <<<< this is your straight line equation!
Now all u gotta do is rearrange all your options into y = mx+c.
D. is incorrect as it gives us y=2x+5 and not y = 2x-5 unlike the others
Hope you get it!
Part 1
Rule of thumb for month rent: Rent ≤ 28% of monthly gross income
Then,
Month gross income = $62,112/12 = $5,176
Affordable rent = 0.28*5176 = $1,449.28
Rounding to nearest dollar;
Affordable rent = $1,449.
The correct answer is C.
Part 2
Monthly rent = $1240
Security deposit = 80% of rent = 0.8*1240 = $992
Amount to be paid = 1240*2 + 992 = $3472
The correct answer is B.
Answer:
x< -11/2
Step-by-step explanation:
Let's solve your inequality step-by-step.
2(4x+1)<3(2x−3)
Step 1: Simplify both sides of the inequality.
8x+2<6x−9
Step 2: Subtract 6x from both sides.
8x+2−6x<6x−9−6x
2x+2<−9
Step 3: Subtract 2 from both sides.
2x+2−2<−9−2
2x<−11
Step 4: Divide both sides by 2.
2x/2<−11/2
x< −11/2
