A number is doubled and then increased by 3. The result is 95. What is the original number?

The number is 46

Step-by-step explanation:

n = number

doubled

2n

increased by 3

2n+3

is 95

2n+3 = 95

Solve

2n+3=95

Subtract 3 from each side

2n+3-3=95-3

2n = 92

Divide each side by 2

2n/2 = 92/2

n =46

Step-by-step explanation:

Step 1:  Make an expression

Step 2:  Subtract 3 from both sides

Step 3:  Divide both sides by 2

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 .