Madison wants to make cookies for her little sister's birthday party. she is cutting a roll of cookie dough into piece that are 1/2 inch thick. if the roll is 13 inches long, how many cookies can she make?

Considering the definition of prime number, prime factorization and a property of the potentiation, this factorization is not a prime factorization. The prime factorization is expressed as: 2⁵× 3× 5⁴× 11²

In the first place, a prime number is a natural number greater than 1 that has only two different divisors: itself and 1. That is, a prime number is an integer greater than 1 that is only divided exactly by 1 and itself .

On the other side, the "factors" are the numbers that you multiply together to get another number.

So "factoring into primes" is figuring out what prime numbers you have to multiply together to get the original number.

That is, factoring in prime numbers is writing any number as the multiplication of prime numbers, regardless of the order of the factors.

In this case, you have the factorization: 2²× 3× 5⁴× 8× 11²

This factorization is not a prime factorization. 2,3,5 and 11 are prime numbers, but 8 is not a prime number. This last number can be factored as:

8= 2³

Then, the factorization is expressed as: 2²× 3× 5⁴× 2³× 11²

A property of the potentiation expresses that the product of powers of equal base results in the same base raised to the sum of the exponents of each factor. In this case, 2² and 2³ are two powers with the same base, so the power is expressed as:

2²× 2³= 2²⁺³= 2⁵

Finally, the prime factorization is expressed as: 2⁵× 3× 5⁴× 11²

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The given number is not in prime factorization due to the presence of '8'. The correct prime factorization is '2^5 X 3 X 5^4 X 11^2'.

The number given in the question is not expressed in its prime factorization due to the presence of '8' which is composite number and can be broken down further. In fact, the number '8' can be represented as '2^3'. So, if we modify this in the original expression, it would change to 2^2 X 3 X 5^4 X 2^3 X 11^2. Simplifying this, we get 2^5 X 3 X 5^4 X 11^2, which is the correct prime factorization. A prime factorization only includes prime numbers, which are numbers that have exactly two distinct positive divisors: 1 and the number itself.

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The correct answer for [tex]750[/tex]g as percentage of [tex]1.5[/tex]kg is  ,[tex]750[/tex]g is [tex]50[/tex]% of  [tex]1.5\\[/tex]kg.

To express 750g as a percentage of 1.5kg, convert both quantities to the same unit of measurement.

Since both grams (g) and kilograms (kg) are units of mass,

convert 1.5kg to grams:

[tex]1[/tex] kg = [tex]1000[/tex] g

=[tex]1.5*1000[/tex]

= [tex]1500[/tex] g

To express [tex]750[/tex]g as a percentage of [tex]1500[/tex]g,

Percentage = (Part / Whole) * 100

Percentage = [tex]\dfrac{750}{1500}*100[/tex]

Percentage =  [tex]0.5*100[/tex]

Percentage =  [tex]50[/tex]%

The correct answer is [tex]750[/tex]g is [tex]50[/tex]% of [tex]1.5[/tex]kg.

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The quantity of sugar one can hold is 2.4 tons.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a shipment of 8 tons of sugar is separated into containers of equal size.

The shipment fills [tex]3\frac{1}{3}[/tex]= 10/3 containers

Quantity of sugar one can hold is

8 ÷ 10/3

= 8× 3/10

= 24/10

= 2.4 tons

Therefore, the quantity of sugar one can hold is 2.4 tons.

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Answer:

$23

Step-by-step explanation:

i did the thingy

To find the value of f(-7), substitute -7 into the function f(x) = 8x + 15. The value of f(-7) is -41.

To find the value of f(-7), we substitute -7 into the function f(x) = 8x + 15.

f(-7) = 8(-7) + 15 = -56 + 15 = -41.

Therefore, the value of f(-7) is -41.

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Answer:

I took the test and they got it right, "equal to" is the correct answer.

The y-intercept of the function y = 2x + 1 is equal to the y-intercept of the function represented in the graph.

From the given graph: the y-intercept is = 1.

To find the y-intercept of y=2x+1 we compare it with y=mx+b.

So, b=y-intercept=1.

Both y-intercepts are 1.

It means the y-intercept of the function y = 2x + 1 is equal to the y-intercept of the function represented in the graph.

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Answer: The simplified answer is 15.

Explanation:

Since we have given that

[tex]5+1\times 10[/tex]

As we know about the BODMAS rule,

Where B stands for brackets

D stands for division

M stands fro Multiplication

A stands for addition

S stands for subtraction

So, in this expression, we first use the multiplication operation and then addition as shown below:

[tex]=5+1\times 10\\\\=5+10\\\\=15[/tex]

Hence , the simplified answer is 15.

With the help of ratios, we know that 85 students are enrolled in the 7th grade and 115 students are enrolled in the 8th grade.

So, first, add the raions and then multiply the fractions with total students as follows:

7th grade:

8th grade:

So, with the help of ratios, we know that 85 students are enrolled in the 7th grade and 115 students are enrolled in the 8th grade.

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