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3 years ago

i need help Samir needs 450g of butter to make 60 shortbread biscuits.How many will he use to make 12 biscuits?

Mathematics

1 answer:

Gnom [1K]3 years ago

6 0

<h3>Answer: 90 g of butter </h3>

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Work Shown:

450 g of butter = 60 biscuits

450/60 g of butter = 60/60 biscuits ... divide both sides by 60

7.5 g of butter = 1 biscuit

This means each biscuit needs 7.5 grams of butter

Multiply both sides by 12 to get

7.5 g of butter = 1 biscuit

12*7.5 g of butter = 12*1 biscuit

90 g of butter = 12 biscuits

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Find all polar coordinates of point p where p = ordered pair 5 comma pi divided by 3.

Aleonysh [2.5K]

Find all polar coordinates of point p where p = ordered pair 5 comma pi divided by 3.

The polar coordinate of any point can be written as:

<span>(r, θ) = (r, θ + 2nπ) --> when positive</span>

<span> (r, θ) = [ - r, θ + (2n + 1)π ] --> when negative</span>

<span> where n is any integer.</span>

The polar coordinates of this given point P is: P = (r, θ) = (5, π/3).

When the value of r is positive, the polar coordinate is written as P= (5, π/3) = (5, π/3 + 2nπ)

where n is any integer.

When the value of r is negative, the polar coordinate is written as P = (5, π/3) = [ - 5, π/3 + (2n + 1)π] where n is any integer.

Therefore all polar coordinates of point P are (5, π/3 + 2nπ) and [ - 5, π/3 + (2n + 1)π ].

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3 years ago

Find all values of the variable

labwork [276]

The values of x for which the rational expression is undefined are -6 and -8.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a rational function:

$\rm f(x) = \dfrac{3x+20}{x^2+14x+48}$

As we know in the rational function denominator cannot be zero:

The values of x for which the rational expression is undefined.

x² + 14x + 48 = 0

$\rm x_{1,\:2}=\dfrac{-14\pm \sqrt{14^2-4\cdot \:1\cdot \:48}}{2\cdot \:1}$

$\rm x_1=\dfrac{-14+2}{2\cdot \:1},\:x_2=\dfrac{-14-2}{2\cdot \:1}$

x = -6, -8

Thus, the values of x for which the rational expression is undefined are -6 and -8.

Learn more about the function here:

brainly.com/question/5245372

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1 year ago

3 to the fourth power +9

Igoryamba

Answer:

Step-by-step explanation:

3*3=9

9*3=27

27*3=81

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2 years ago

Read 2 more answers

The function f(x)=(x-5)^2 +2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the in

Anon25 [30]

We have been given a quadratic function $f(x)=(x-5)^{2} +2$ and we need to restrict the domain such that it becomes a one to one function.

We know that vertex of this quadratic function occurs at (5,2).

Further, we know that range of this function is $[2,\infty)$ .

If we restrict the domain of this function to either $(-\infty,5]$ or $[5,\infty)$ , it will become one to one function.

Let us know find its inverse.

$y=(x-5)^{2}+2$

Upon interchanging x and y, we get:

$x=(y-5)^{2}+2$

Let us now solve this function for y.

$(y-5)^{2}=x-2\\
y-5=\pm \sqrt{x-2}\\
y=5\pm \sqrt{x-2}\\$

Hence, the inverse function would be $f^{-1}(x)=5+\sqrt{x-2}$ if we restrict the domain of original function to $[5,\infty)$ and the inverse function would be $f^{-1}(x)=5-\sqrt{x-2}$ if we restrict the domain to $(-\infty,5]$ .

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3 years ago

Simplify 8-(-5) - 4(-7).<br> О-63<br> оо ООО

Sergeeva-Olga [200]

8- (-5) - 4 (-7) = 41

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3 years ago

i need help Samir needs 450g of butter to make 60 shortbread biscuits.How many will he use to make 12 biscuits?​

i need help Samir needs 450g of butter to make 60 shortbread biscuits.How many will he use to make 12 biscuits?