So legnt=l
width=w
l=-7+3w
l=3w-7

area=66
area=legnth times width or
area=lw

subisutte
area=lw
l=3w-7
66=(3w-7)(w)
66=3w^2-7w
subtrac 66 from both sides
0=3w^2-7w-66
factor
HOW TO
multiply 3 and -66=-198
find what 2 numbers add up to -7 and multiply to get -198
the numbers area 11 and -18
so
3w^2-18w+11w-66=0
factor
(3w^2-18w)+(11w-66)=0
(3w)(w-6)+(11)(w-6)=0
factor using distributive (ab+ac=a(b+c))

(3w+11)(w-6)=0
set them to zero
3w+11=0
subtract 11
3w=-11
legnths cannot be negative so we discard this

w-6=0
add 6
w=6

width=6
legnth=3w-7
length=3(6)-7
legnt=18-7
legnth=11

width=6
legnth=11

7 0

2 years ago

Decrease 50 by 60% please

Whitepunk [10]

Answer:

50, percentage decreased by 60% (percent) of its value = 20

Step-by-step explanation:

8 0

2 years ago

What method should I use to solve this?

tekilochka [14]

Answer:

$9.10

Step-by-step explanation:

$455 \div 50 = 9.1$

455 ÷ 50 = 9.1. The student tickets cost $9.10. (I think)

8 0

2 years ago

8. Patrice and Don buy a home for $92,000. The property tax rate is$39.50 per $1,000 of assessed value. The assessment rate is 4

Kaylis [27]

We start by calculating the assessed value, that is 41% of the price.

The price is $92,000.

Then, the assessed value is:

$AV=a\cdot P=\frac{41}{100}\cdot92000=0.41\cdot92000=37720$

The property tax rate is $39.50 per $1000 of assessed value, so we can express this rate as:

$\text{tax rate}=\frac{39.50}{1000}=0.0395$

We then can multiply this rate by the assessed value to calculate the total property tax:

$\text{tax}=0.0395\cdot37720=1489.94$

NOTE: we could have also multiplied 39.50 by 37.72. The value 37.72 is the thousands of dollars of assessed value. We would have obtained the same result: 39.50*37.72=1489.94.

Answer: the property tax is $1,489.94.

3 0

1 year ago