Mrs. Henry opened a bag of sugar. She poured 1,500 grams of sugar into 5 beakers and 500 grams of sugar into 4 beakers. She had 500 grams left over. What was the mass of the bag of sugar in kilograms before Mrs. Henry opened it?

2,500 grams

Step-by-step explanation:

In order to pour the sugar into the beakers and have some left over, you would need to have that much sugar. So, you would add all the amount of sugar, including the remaining.

Work:

1500+500+500= 2,500

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet