The recipe calls for 5/8 cups butter and Angie wants to triple the recipe.

Therefore, if Angie is tripling the recipe, she is multiplying all of the ingredients in the recipe by 3.

So for the butter, this would be:

5/8 * 3 = 15/8

Next, we should turn this improper fraction into a mixed number so that we can compare it to the amount of butter that Angie has.

15/8 = 1 7/8

1 7/8 > 1 1/4

Thus, Angie DOES NOT have enough butter to triple the recipe.

8 0

2 years ago

If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3

horrorfan [7]

Answer: The correct option is (B) 24 : 25.

Step-by-step explanation: Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.

We are to find the ratio of the area of R to the area of S.

Let 2x, 3x be the sides of rectangle R and y be the side of square S.

Then, according to the given information, we have

$\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Therefore, the ratio of the area of R to the area of S is

$\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.$

Thus, the required ratio of the area of R to the area of S is 24 : 25.

Option (B) is CORRECT.

6 0

3 years ago

What is the maximum number of​ x-intercepts that a polynomial of degree 7 can​ have

What is the maximum number of x-intercepts that a polynomial of degree 7 can have