Tara has 24 pints of green paint. She uses 1 4 of it to paint a landscape and 5 8 of it while painting a clover. She decides that, for her next painting, she will need 11 2 3 pints of green paint. How much more paint will she need to buy?

Tara will need to buy more 8 2/3  pint of green paint.  

Step-by-step explanation:

Total amount of green paint Tara has =24 pints

Amount used to to paint a landscape =1/4 x 24= 6

Amount used To  painting a clover.= 5/8 x 24= 15

 Amount of paint remaining = Total paint - Amount used up in painting landscape and clover

= 24 - ( 15+ 6)

24-21

=3 pints left

Since she needs 11 2/3 pints of green paints , she will  need

11 2/3 - 3 = 8 2/3 .

Therefore she will need to buy more 8 2/3  pint of green paint.  

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.