MATHEMATICS MIDDLE SCHOOL

How many liters are equal to 39 kL?How many milligrams are equal to 4 cg?
and:
Use the common denominator to compare the fractions.
9/10 or 2/3
5/8 or 3/5
2/3 or 5/6
4/14 or 2/7
4/5 or 4/10
6/8 or 5/6

:)

Answers

Answer 1
Answer: .039 liters are equal to 39 kL
40 mG are equal to 4 cG

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Find the area of a square with side a when a=2 in, a=12 in, and a=0.8 in. Are the area of a square and the length of its side directly proportional quantities? Why or why not?

Answers

Answer:

4 inches²

144 inches²

0.64 inches²

Yes, the area of a square and the length of its side directly proportional quantities.

Step-by-step explanation:

In this question, we have to find the area of square by changing the lengths of a side. Given lengths are: 2, 12, 0.8. I will evaluate the area of each side and try to find out the relation between area and length of side.

First, we start with the smallest length (a=0.8 inches)

Area of a square is calculated by taking the square of single side (since both sides are equal).

Area of square = a²

Area of square = 0.8²

Area of square = 0.64 inches²

Area of square with smallest side length (a=0.8 inches) = 0.64 inches²

Secondly, we start with the 2nd highest length (a=2 inches)

Area of square = a²

Area of square = 2²

Area of square = 4 inches²

Area of square with second largest side length (a=2 inches) = 4 inches²

Thirdly, we start with the highest length (a=12 inches)

Area of square = a²

Area of square = 12²

Area of square = 144 inches²

Area of square with highest side length (a=12 inches) =144 inches²

As we can see, with the increase in the length of a side, area of square is also increasing. Therefore, yes the area of a square and the length of its side are directly proportional quantities as the area increases or decreases when the length of the side increases or decreases.

Answer:

They are directly proportional quantities.

Step-by-step explanation:

DEFINITION

Two quantities are said to be directly proportional if an increase in one quantity lead to an increase in the other quantity.

Area of a Square = Length^2

Area of a Square of Length 2 inch = 2^2=4 \:square \:inch

Area of a Square of Length 12 inch = 12^2=144 \:square \:inch

Area of a Square of Length 0.8 inch = 0.8^2=0.64 \:square \:inch

Arranging the sides and corresponding area in ascending order:

(0.8, 2,  12) = (0.64,  4,   144)

We notice that as the length increases, the area also increases.

Therefore, the area of a square and the length of its side are directly proportional quantities.

Help!!!! Add. 7 2/15+ 5 2/3+ 9 13/15

A.21 2/3
B.20 2/3
C.22 2/3
D.21 10/15

Answers

7 (2)/(15 ) + 5 (2)/(3) + 9 (3)/(15)

Convert mixed number to improper fraction.

(107)/(15) + (17)/(3) + (148)/(15)

Then change all the denominators into a same number

(107)/(15) + (85)/(15) + (148)/(15)

Add all the numerators but let all the denominators be same.

(107+85+148)/(15) = (340)/(15)

Change the improper fraction back into a mixed number..

22 (10)/(15) I see that we can still simplify the fraction.. 

22 (10)/(15) = 22 (2)/(3)

Your final answer is C. 22 (2)/(3)

The cross section of a metal ingot is a trapezoid. The cross section has an area of 39 square centimeters. The top base of the cross section is 12 centimeters. The length of the bottom base is 2 centimeters greater than the top base. How tall is the metal ingot?

Answers

metal ingot is 5cm tall

How much did the temperature change between 10 a. m. and 1 p.m. ?

Answers

you find the answer by doing 83-77


the temperature went up 6 degrees

Express in scientific notation: 215,000,000    a.2.15x10^8   b.21.5x10^7   c. 215x10^6d.215x1,000,000  e.0.215x10^9

Answers

2\underbrace{15\ 000\ 000}_(\leftarrow8)=2.15000000\cdot10^8=2.15\cdot10^8\n\n\nAnswer:A




scientific\ notation:\ a\cdot10^n\ and\ a\in < 1;\ 10);\ n\in\mathbb{Z}\n\nB.\ 21.5\cdot10^7\to21.5 > 10\n\nC.\ 215\cdot10^6\to215 > 10\n\nD.\ 215\cdot1,000,000\to215 > 10\ and\ no\ 10^n\n\nE.\ 0.215\cdot10^9\to0.215 < 1

Can someone help please? :)A storage tank holds 235,500 in3 of a chemical. The chemical is dispensed to completely fill 25 identical cylindrical containers, each with a radius of 5 in. What is the height of the cylindrical containers? Use 3.14 to approximate pi.

Answers

Vtotal=25 times volume of each small cylinder

find volume of each cylinder small
V=hpir^2
r=5
V=hpi5^2
v=hpi25
use 3.14 for pi
V=78.5h

Vtotal=25 times vsmal contanier

25 of these
mulitly volume by 25
78.5h times 25=1962.5h

235500=1962.5h
divide both sides by 1962.5
120=h
the height of each cylnder was 120 inches or 10 feet
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