Rewrite 24.5 as a mixed number in lowest terms. Rewrite 0.85 as a fraction in lowest terms.

49/2, 17/20

Step-by-step explanation:

24.5=245/10=245÷5/10÷5=49/2

0.85=85/100=85÷5/100÷5=17/20

Mixed numbers

a)  24  1/2  

b) 85/100 = 17/20

Step-by-step explanation:

a) as they asked mixed number we only have to create a fraction for the decimal 0.5 = 1/2 and rewrite 24 1/2 = 24.5

If the question asked for lowest terms 24/5 then 24.5% = 245/1000 = 49/200

b) rewrite 0.85 as a fraction in lowest terms

0.85 = 85% = 85/100 = 17/20

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.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .