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lozanna [386]
3 years ago
14

What is the GCF for 18, 45, and 90

Mathematics
2 answers:
fredd [130]3 years ago
8 0
The greatest common factor (GCF) is 9
KengaRu [80]3 years ago
3 0
To find the GCF first list down the prime factors of each number then multiply the factors both have in common, or if the numbers have only one prime factor in common then that's the answer. to find the prime factors of a number just divide the number by prime factors in order.

in this question prime factors of the numbers are,
18=2×2×3
45=3×3×3
90=2×3×3×5
the common factors are 3 and 3. so now multiply 3 by 3= 9

answer=9
hope this helps....
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A bag of dog food weighs 31 1/4pounds. After one week 3 1/8 pounds of dog food was used. What fraction of the bag of dog food re
Svetlanka [38]

Answer:

The answer is: there is 89.2% of the dog food remaining.

Step-by-step explanation:

Given: 31 1/4 lbs of dog food.

In one week - 3 1/8 lbs was used.

To find the amount left, subtract:

31 1/4 - 3  1/8 =

30 5/4 - 3 1/8 =

30 10/8 - 3/8 =

27 7/8 remaining.

To find the percent left, divide:

27 7/8 / 31 1/4 =

27.875 / 31.25 = .892.

Multiply by 100 to get percent:

.892 * 100 = 89.2% remaining.

Hope this helps!! Have an Awesome day!!! :-)

3 0
3 years ago
Write an expression for the operation described below.<br> the quotient of z and y
Vsevolod [243]

Answer:

z/y

Step-by-step explanation:

the quotient of z and y

this does no require any work just understand the question

the quotient of z and y means z divide by y

z/y

7 0
3 years ago
Find the sum of a finite geometric series. The Smiths spent $2,000 on clothes in a particular year. If they increase the amount
boyakko [2]

\bf \stackrel{\textit{first year}}{2000}~~,~~\stackrel{\textit{second year}}{2000+\stackrel{\textit{10\% of 2000}}{\frac{2000}{10}}}\implies 2200

now, if we take 2000 to be the 100%, what is 2200? well, 2200 is just 100% + 10%, namely 110%, and if we change that percent format to a decimal, we simply divide it by 100, thus \bf 110\%\implies \cfrac{110}{100}\implies 1.1.

so, 1.1 is the decimal number we multiply a term to get the next term, namely 1.1 is the common ratio.

\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\a_1=2000\\r=1.1\\n=4\end{cases}\\\\\\S_4=2000\left[ \cfrac{1-(1.1)^4}{1-1.1} \right]\implies S_4=2000\left(\cfrac{-0.4641}{-0.1}  \right)\\\\\\S_4=2000(4.641)\implies S_4=9282

7 0
3 years ago
Eleanor and Max used two rectangular pieces of plywood, placed end-to-end, to make a long rectangular stage for the school play.
irina1246 [14]

The area is the product of length and width.

.. area = length * width

.. 61 5/8 = (7 +7 1/2) * width

.. (61 5/8)/(14 1/2) = width = 4 1/4 . . . . feet

The plywood was 4 feet 3 inches wide.

_____

A calculator that works with fractions figures this nicely. By hand, you might compute it as

.. 61 5/8 = (8*61 +5)/8 = 493/8

.. 14 1/2 = (2*14 +1)/2 = 29/2

.. (61 5/8)/(14 1/2) = (493/8)/(29/2) = (493/8)*(2/29) = 493/(4*29) = 493/116

.. 493/116 = 4 +29/116 = 4 +29/(4*29) = 4 1/4

7 0
3 years ago
5-2(9) +9²÷3 please help me ​
vlada-n [284]

Answer:

5 - 2 x 9 + 9^2 divided by 3

5 - 2 x 9 + 81 divided by 3

5 - 18 + 81 divided by 3

5 - 18 + 27

-13  + 27

14

Using PEMDAS:

Parenthesis First

Exponents

Divide or Multiply

Add or subtract

7 0
3 years ago
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