Respond to the questions about the first recipe:

here are the ingredients in your first recipe:

banana cupcakes

makes 10 cupcakes

1 cup granulated sugar

1/2 cup vegetable oil

1 large egg

4 tablespoons sour cream

2 medium-sized ripe bananas, mashed

1 1/2cups all-purpose flour

1 teaspoon baking soda

1/8 teaspoon salt

1 teaspoon vanilla extract

pinch of nutmeg

you will use the recipe above to answer the following questions:

1. this recipe serves 10, but you need to serve 30. what number will you need to multiply the amount of each ingredient by to adjust the recipe? how did you determine this number?
2. how much vegetable oil do you need for 30 cupcakes?
3. how much flour do you need for 30 cupcakes?
4. what is the difference in the amount of vanilla extract you would need for 30 cupcakes?
5. what is the difference in the amount of salt you would need for 30 cupcakes?
6. in the real world, even though you make adjustments to a recipe to accommodate the number of people you need to serve, you sometimes round the amount of an ingredient instead of using an exact amount. which ingredient would it make more sense to round rather than coming up with the exact amount? why?

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

isi

step-by-step explanation:

use that smart brain

u bout ugly as   a mf

step-by-step explanation: lol