What is 5+2n if n equals 3/4?

Answer:

a. A = x² - 36x + 288

b. If x = 2; A = 220 in²

Step-by-step explanation:

a.

In this scenario, 'x' represents the width of the border. A "uniform border" means that the border has the same width all around.

The area of the paper that can be painted does not include the border. Since the border is on the original rice paper (not added to it), you subtract 'x' from each side of the rice paper.

The area of a rectangle is A = lw (Area is length times width). Each length and width is reduced by 'x'.

If the original rice paper's area is: 24 X 12, then,

the Area that can be painted is:

A = (24 - x) (12 - x)

A polynomial in standard form means the most expanded version of an expression, ordering the terms (numbers) from greatest to least degree. (The degree of a term is the value of its exponent).

Expand the expression. Multiply the numbers from each bracket in the order FOIL (first, outside, inside last):

A = (24 - x) (12 - x)

= 288 - 24x - 12x + x²        Collect like terms (-24x - 12x = -36x)

= 288 - 36x + x²        Rearrange ordering greatest to least exponent value

= x² - 36x + 288        Standard form polynomial

b.

The width of the margin is the same thing as the width of the border. Since 'x' is the width of the border,

x = 2

Using either the expanded or factored equation for area of that can be painted, substitute 'x' for 2.

I will use the factored form.

A = (24 - x) (12 - x)        Substitute x for 2

= (24 - 2) (12 - 2)          Solve inside each bracket first by subtracting

= (22) (10)             Multiply

= 220                 Area that can be painted

Remember to include the units: 220 in²

Therefore if the margin is 2 inches wide, then the area that can be painted in 220 square inches.

Answer:7

Step-by-step explanation:

Divide, divides, divided by, the

quotient of, the ratio of, equal

amounts of, per

÷

Divide x by 6

x

6

or x ÷ 6

7 divides x

x

7

or x ÷ 7

7 divided by x

7

x

or 7 ÷ x

So, simplifies to 16, it can be solved according to the process of simplification process

To simplify the expression (8^(2/3))^4, we follow the order of operations, which is to evaluate the exponent inside the parentheses first, and then raise the result to the power of 4.

Step 1: Evaluate the exponent inside the parentheses.

means taking the cube root of 8 raised to the power of 2. The cube root of 8 is 2, so we have:

= 2

Step 2: Raise the result to the power of 4.

Now, we have:

= 2 * 2 * 2 * 2 = 16

So, simplifies to 16.

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Answer:

Step-by-step explanation:

hello :

(8^2/3)^4 = ∛(8²) = ∛(4^3) = 4   because : 8² = 4^3 =64

Final answer:

Yes, the cookies will taste the same because the ratio of cookies to sugar remains the same. For 36 cookies, you would need 9 tablespoons of sugar.

Explanation:

Yes, the cookies will taste the same because the ratio of cookies to sugar remains the same. In the original recipe, the ratio of cookies to sugar is 24:6, or 4:1. When making 36 cookies, you can find the amount of sugar needed by setting up a proportion using the known ratio: 24/6 = 36/x. Solving for x, we get x = 9. So, for 36 cookies, you would need 9 tablespoons of sugar.

This means that using 10 tablespoons of sugar would result in slightly sweeter cookies compared to the original recipe, but the difference would likely be minimal and might not be noticeable.

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