Which fraction expresses -30/54 in lowest terms? A. - 10/27
B. - 10/18
C. - 15/27
D. - 5/9

Answers

Answer 1
Answer: -30/54 in simplest form:

First, we can start out by finding the greatest common factor (GCF) of the numerator (30) and the denominator (54). To do so, we will list the factors of each number, find the common ones and then the greatest.

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

Look through both sets of factors. Which are the common factors? 1, 2, 3, and 6 are the common factors of 30 and 54. Now, we have the find the greatest common factor. Basically, which number has greater value out of 1, 2, 3, and 6? The GCF is 6.

Second, our last step is to divide the numerator (30) and denominator (54) by our recently found GCF which was 6. This will create a new fraction which is in simplest form.

30 / 6 = 5 \n 54 / 6 = 9

Let's collect our new numerator and denominator and rewrite our brand new fraction in its simplest form. 
-(5)/(9)

Answer in fraction form:\fbox {-5/9}
Answer in decimal form: \fbox {-0.5556}

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Which statement is true about the expression 4(9+6)?

Answers

This expression can be simplified to
4(15) = 60
The thing true about that is that we can use the distributive property to simplify it. 

4(9+6) = 4*9 + 4*6 = 36 + 24 = 60

You have one-fourth of the marbles in Pat's bag. Add to the picture to show all the marbles in Pat's bag. (They show three marbles)

Answers

picture the marble to be in a pie shape and you cut it into fourths how much would you have?





Hope this helps Kaylah3!

A farmer has decided to divide his land area in half in order to plant soy and corn. Calculate the area of the entire area so he knows how much soil is needed. Each bag of soil covers 40 square yards. How many bags should the farmer purchase?
1 bag
2 bags
3 bags
4 bags

Answers

The farmer should purchase 2 bags of soil for his farm.

The shape of the farm, according to the picture is a parallelogram. Therefore, the total area can be calculated as follows:

Area = bh

where

b = base

h = height

Therefore,

base = 6.5 + 2.5 = 9.0 yards

height = 6 yards

Area = 6 × 9 = 54 square yards.

40 square yards requires 1 bag of soil .

54 square yards will require ?

cross multiply

Bags required = 54 / 40 = 1.35 bag

Therefore, the farmer will require 2 bags of soil for his farm.  

learn more on area here: brainly.com/question/21695513?referrer=searchResults

Answer:

The farmer should purchase 2 bags

Step-by-step explanation:

Can the sum of two mixed numbers be equal to 2?Explain why or why not.

Answers

No, b/c to be a mixed number your value must be greater than one 

evelyn read 25 pages of a book on friday morning. she read 1/4 of the remainder on friday afternoon if she still had 90 pages to read after friday afternoon .how many pages were in the book

Answers

145 pages.

25 + 1/4 x (X - 25) + 90 = X

100 + X - 25 + 360 = 4X

435 + X = 4X

435 = 3X

X = 145

Ok so we are calling the total number of pages in the book X. Friday morning, they read 25 pages. Friday afternoon, they read 1/4 of what is left. Since they already read 25 pages, we can say that the remainder of the pages is the total, X, minus 25, giving us the amount of pages read on Friday afternoon 1/4 (X - 25). They then say that the rest of the pages in the book after Friday is 90. Therefore what they read of friday plus 90 is the total amount of pages in the book. After this point, it is simple algebraic solving in order to find X. If you plug 145 in for the total amount of pages, you will see that it works.

What is the number 4,305,012 in expanded form

Answers

4,000,000+300,000+5,000+10+2 is 4,305?012 in expanded form.