A recipe for cookies calls for 2/3 of a cup of sugar. Elena used 5 1/3 cups of sugar to make multiple batches of cookies. How many batches did she make?

8 batches

Step-by-step explanation:

A recipe for cookies calls for 2/3 of a cup of sugar. Elena used 5 1/3 cups of sugar to make multiple batches of cookies. How many batches did she make?

From the above question, 1 recipe = 1 batch of cookies

Hence:

2/3 cup of sugar = 1 batch of cookies

5 1/3 cups of sugar = x batches of cookies

Cross Multiply

2/3 cup × x batches = 5 1/3 cup × 1 batch

x batches = 5 1/3 cup × 1 batch/2/3 cup

x batches = 16/3 ÷ 2/3

x batches = 16/3 × 3/2

= 8 batches

Therefore she made 8 batches

d

gimmee one of those gold crowns!

~coco

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form