Kari estimated the quotient of Negative 12 and one-fifth divided by 4 and two-fifths to be –8. Which best describes her error?

D. Kari added the compatible numbers –12 and 4.

Step-by-step explanation:

Kari estimated the quotient of Negative 12 and one-fifth divided by 4 and two-fifths to be –8. Which best describes her error?

-12 1/5 ÷ 4 2/5 = -8

A. Kari multiplied the compatible numbers –12 and 4.

-12 * 4 = 48

A. Is not correct

B. Kari found that the quotient of a negative number and a positive number is negative.

Example:

-a/a = -1

The rule is right

C. Kari found that the quotient of a positive number and a negative number is positive.

a/-a = -1

The rule is wrong

D. Kari added the compatible numbers –12 and 4.

= -12 + 4

= -8

Therefore, Kari error was that she added the compatible numbers –12 and 4.

The answer is in the image 

The solution is in the following image

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

The solution is given in the image below

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

30% of 420 are first year students

first year students = (30/100 )*420

=126 students

Student who are not in first year = 420-126

=294 students