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3 years ago

Mr. Burrows has cups of flour.

Mathematics

1 answer:

Alexeev081 [22]3 years ago

8 0

The question is incomplete :

However, assume Number of cups of flower 10

Number of flour cups for each pie 1/4

Answer:

Step-by-step explanation:

Number of cups of flower = 10

Number of flower cups per crust pie = 1/4 cups

Since, the cups of flower was divided equally into to 5 containers;

Number of flower cups per container :

10 / 5 = 2

Each container has 2 cups of flower each.

1 container was used in making crust pie :

The number of crust pies made is:

Cups of flower in container / cups of flower per crust pie

= 2 ÷ 1/4

= 2 * 4 /1

= 8 crust pies

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Question 1,2, and 3 how do i factor those? Can you show the work and explain how?

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1: $3n^{2}+9n+6$

notice that each part is divisible by 3

$3n^{2}$ ÷ 3 = $n^{2}$

9n ÷ 3 = 3n

6 ÷ 3 = 2

so it becomes $3(n^{2} +3n+2)$

3n can be rewritten as 2n+n

-you want to rewrite it into two numbers that multiply to the number that's alone (in this case 2)

which would get you

$3(n^{2} +2n+n+2)$

Now that it's rewritten, you can factor out n + 2 from the equation.

the answer is

3(n+2)(n+1)

And you can check that by multiplying (n+2)(n+1) which is $n^{2} +2n+n+2$ and then each of those by 3, which is $3n^{2} +6n+3n+6$ or $3n^{2}+9n+6$ , our origional equation

2: $28+x^{2} -11x$

So I rewrote this as $x^{2} -11x+28$ (it's the same thing, just reordered using the commutative property)

now -11x can be rewritten as -4x-7x

(remember, the two numbers should multiply to equal 28, which is our constant.)

$x^{2} -4x-7x+28$

now we can factor out x from the first expression and -7 from the second

$x(x-4)-7(x-4)$

and lastly you factor out x-4,

which would give you

(x-4)(x-7)

Make sure to check your work and make sure it multiplies to $x^{2} -11x+28$

3: $9x^{2} -12x+4$

The first thing I notice when looking at this problem is that both 9 and 4 are perfect squares. Not only that, but they are the squares of 2 and 3, which are products of -12

So if you rewrite 9 as $3^{2}$ and 4 as $2^{2}$ , the equation becomes