Which expressions are equivalent to One-half + 3 c + StartFraction 4 Over 5 EndFractionCheck all that apply. 3 c + StartFraction 4 Over 5 EndFraction + one-half 1 + 2 + 3c + 4 +5 StartFraction 4 Over 5 EndFraction + one-half + 3 c 2 + 3c + 4 One-half + StartFraction 4 Over 5 EndFraction + 3 c

Question:

Which expressions are equivalent to ½ + 3c + ⅘.

Check all that apply.

½ + 3c + ⅘ is equivalent to

1. ⅒(30c + 13)

2. 3c + 13/10

Step-by-step explanation:

The options are not well presented.

However, I'll give simplify the given expression in the question above.

Given: ½ + 3c + ⅘.

Required: Simplify

We start by collecting like terms

3c + ½ + ⅘

From this point, the expression can be solved in two ways

1. Solve fractions

This gives [Find LCM]

3c + (5 + 8)/10

3c + 13/10

3c + ⅒(13)

This can still be solved further [Find LCM]

(30c + 13)/10

⅒(30c + 13)

Hence ⅒(30c + 13) is equivalent to ½ + 3c + ⅘.

2. Convert fractions to decimal

½ + 3c + ⅘ becomes

0.5 + 3c + 0.8

Collect like terms

3c + 0.5 + 0.8

3c + 1.3

Convert decimal to fraction

3c + 13/10

3c + ⅒(13)

This can still be solved further [Find LCM]

(30c + 13)/10

⅒(30c + 13)

Hence ⅒(30c + 13) is equivalent to ½ + 3c + ⅘.

This is as far as the expression can be evaluated

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.