MATHEMATICS MIDDLE SCHOOL

Kate prepared 9 kilograms of dough after working 3 hours. How many hours did Kate work if she prepared 12 kilograms of dough? Assume the relationship is directly proportional.

Answers

Answer 1

Answer:

Answer:

4 hours

Step-by-step explanation:

cross multiply

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Answers

Answer:254.34

Step-by-step explanation:

the land area of Florida is 1×100,000+3×10,000+9×1,000+8×100+5×10+2×1 square kilometers. Write the area in standard form and word form

Answers

Answer:

139852 square kilometers

1 Lakh thirty nine thousand eight hundred fifty two square kilometers.

Step-by-step explanation:

We are given that land area of Florida

$1* 100,000+3* 10,000+9* 1,000+8* 100+5* 10+2*$

We have to write area in standard form and word form

Standard form

$1* 100,000+3* 10,000+9* 1,000+8* 100+5* 10+2*=139852$ square kilometers

Because place value of 1 is 1 lakh, place value of 3 is 30000,9 is at thousand place , 8 at hundred place, 5 at tens place and 2 at unit place.

Word form: 1 Lakh thirty nine thousand eight hundred fifty two square kilometers.

you first get:
100,000 + 30,000 + 9,000 + 800 + 50 + 2
added together, it equals:
139,852 sq kilometers

standard form: 139,852 square kilometers

word form: one-hundred thirty-nine thousand, eight-hundred fifty-two.

in a classroom, 1/6 of the students are wearing blue shirts and 2/3 are wearing white shirts. there are 36 students in the class. how many students are wearing a shirt other than blue or white?

Answers

The best thing to do here is to find out what one part is equal too, add these up and then subtract it from the original number.
As 1/6 of the students are wearing blue shirts, you need to find out what 1/6 is.
As there are 36 students, you need to divide this by 6 to get one part.
36/6=6
Therefore, there are six students wearing blue shirts.
As there are 2/3 students wearing white shirts, you need to find out what 2/3 of 36 is.
The best thing to do is to find 1/3 then double it.
To do this, divide 36 by 3.
36/3= 12
12*2= 24
Therefore, there are 24 students wearing white shirts.
As you're looking for the students that aren't wearing blue and white, you need to add the total together, and then subtract this from 36.
6+24=30
36-30= 6
Therefore, there are 6 students that are wearing shirts that aren't blue or white.
Hope this helps :)

Number of students that are wearing a shirt other than blue or white is 6 students

Further explanation

Order of Operations in Mathematics follow this following rule :

Parentheses
Exponents
Multiplication and Division
Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !

Given:

Total Number of Students = 36 students

¹/₆ of the students are wearing blue shirts.

$\texttt{Blue Shirt Students} = (1)/(6) * \texttt{Total Number of Students}$