Decorations for the seventh-grade dance take 1/6 of the student council's budget. entertainment takes 3/8 of the budget. what fraction of the budget do these expenses cover? what fraction is left for other activities? (hint: to answer the second question, subtract the answer to the first from 1, which represents the whole budget.)

13/24 of the budget for decorations and entertainment.

11/24 left for other activities

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

To find what fraction of the budget these expenses cover we have to sum them:

1/6 + 3/8 = 4/24 + 9/24 = 13/24 of the budget

Fraction left: we have to subtract the previous result to 1, which represents the whole budget:

1-13/24 = 24/24-13/24= 11/24 left for other activities.

1

step-by-step explanation:

it's the only multiple of both and the least

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.