Laura is baking a cake. the recipe says that she has to mix 64 grams of chocolate powder to the flour. laura knows that 1 cup of that particular chocolate powder has a mass of 128 grams. she added two over three of a cup of chocolate powder to the flour. should laura add more chocolate powder to make the exact recipe, or did she go over and by what amount?

Laura needs to ad 64 grams of the chocolate powder, and she knows that each cup of the chocolate powder has 128 grams.

The problem says that she added 2/3 of a cup of chocolate powder to the flour.

If one cup of the powder contains 128g, then 2/3 of a cup contains (2/3)*128g = 85.3g of chocolate powder.

Laura wanted to put 64 g of it, so she went over by (85.3g - 64g) = 21.3g.

You also can see the difference in cups:

if one cup is 128 grams and she wanted to use 64 grams, then she should used half a cup, this is 1/2 cup.

But she used 2/3 cups, then the difference is:

2/3 - 1/2 = 4/6 - 3/6 = 1/6.

So she used 1/6 of a cup more than she should.

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation:

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)