What does 5/8 x 30 1/2 = in mixed number form

305/16

Step-by-step explanation:

Simplify the following:

(5 (30 + 1/2))/8

Hint: | Express (5 (30 + 1/2))/8 as a single fraction.

(5 (30 + 1/2))/8 = (5 (30 + 1/2))/8:

(5 (30 + 1/2))/8

Hint: | Put the fractions in 30 + 1/2 over a common denominator.

Put 30 + 1/2 over the common denominator 2. 30 + 1/2 = (2×30)/2 + 1/2:

(5 (2×30)/2 + 1/2)/8

Hint: | Multiply 2 and 30 together.

2×30 = 60:

(5 (60/2 + 1/2))/8

Hint: | Add the fractions over a common denominator to a single fraction.

60/2 + 1/2 = (60 + 1)/2:

(5 (60 + 1)/2)/8

Hint: | Evaluate 60 + 1.

60 + 1 = 61:

(5×61/2)/8

Hint: | Express 5×61/2 as a single fraction.

5×61/2 = (5×61)/2:

((5×61)/2)/8

Hint: | Express ((5×61)/2)/8 as a single fraction.

((5×61)/2)/8 = (5×61)/(2×8):

(5×61)/(2×8)

Hint: | Multiply 2 and 8 together.

2×8 = 16:

(5×61)/16

Hint: | Multiply 5 and 61 together.

5×61 = 305:

 305/16

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

answer: the common difference is -0.10