MATHEMATICS MIDDLE SCHOOL

What is the greatest common factor of the terms of 3y2 – 21y + 36?

Answers

Answer 1
Answer:

Answer:3

Step-by-step explanation:
Answer 2
Answer:

Final answer:

The greatest common factor of the terms of the polynomial 3y2 – 21y + 36 is 3. This is because 3 is the highest number that can divide each term of the polynomial evenly and only the first two terms have 'y', so 'y' cannot be considered as a common factor for all terms.

Explanation:

The greatest common factor (GCF) of the terms of a polynomial is the highest number or variable that divides each term of the polynomial evenly. In this case, to find the GCF of the terms of the mathematical expression 3y2 – 21y + 36, we need to look at each term separately.

For the terms 3y2, -21y, and +36, the GCF in numerical terms is 3. However, since only the first two terms have y as a variable, y is not a common factor for all terms. Hence, the greatest common factor of the terms of the polynomial 3y2 – 21y + 36 is 3.

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A gift basket that contains jars of jam and packages of bread mix costs $45. There are 8 items in the basket. Jars of jam cost $6 each, and packages of bread mix cost $5 each. Write and solve a system of linear equations to find the number of jars of jam and the number of packages of bread mix in the gift basket. Let xx represent the number of jars of jam and let y represent the number of packages of bread mix.

Answers

8 items
jams+breadmix=8
x+y=8

total value is 45
value of jam=x times cost per jam=x times 6=6x
value of bread=y times cost per bread=y times 5=5y

total value=bread value+jam value
45=5y+6x


we have
x+y=8
6x+5y=45
solve

multiply first equaton by -5
-5x-5y=-40

add to first equation

-5x-5y=-40
6x+5y=45 +
1x+0y=5

x=5
subsitute
x+y=8
5+y=8
y=3


5 jars of jam
3 jars of bread mix

What is 25 - 12 3/8

Answers

Answer:

12 5/8

Step-by-step explanation:

25 - 12 3/8

we need to borrow 1 from the 25 and make it a fraction

make it 8/8

24 8/8 - 12 3/8

12 5/8

Answer:

The answer is 12.625 or 12 5/8

Step-by-step explanation:

McKenzie works for a catering company.She is making ice tea for an upcoming event. For each container of tea she uses 16 tea bags and 3 cups of sugar. If McKEnzie uses 64 tea bags, how many cups of sugar will she use?

Answers

She's be using 12 cups of sugar. Heres the explanation to how i got that, i figured out what number 16 would multiply by to get 64 which was 4, so then i also multiplied 3 by 4 which is how i got 12. Hope this helps

Mr grant need 30 pieces of felt .he can buy them in packs of 10 or single pieces.what are the different ways mr.grant can buy the felt?

Answers

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Revise this sentence to use past perfect tenseI repair the damage from car accidents

Answers

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A QUESTION ABOUT MATHS:There are 5 different notebook computers reserved for students. In how many ways can
7 students borrow the notebook computers if
(a) each student can borrow at most one notebook computer?
(b) there are no restrictions?​

Answers

Answer:

a, 7C5 = 21 ways

b, 11C5 = 462 ways
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