Sam travel 20 miles in three hours. Sam walked part of the distance at a speed of 4 mph. Sam rode his bicycle for the remaining distance at a speed of 12 mph. How many hours did Sam spend walking? How many hours did Sam spend biking?

Sam sokey 0.5 hours biking and 3.5 hours walking

Step-by-step explanation:

Here, we want to know the number of hours spent walking and biking

Mathematically; distance = speed * time

Let the number of hours spent walking be x and the number of hours spent biking be y

Mathematically;

x + y = 3 •••(i)

distance spent walking = 4 * x = 4x miles

distance spent biking = 12 * y = 12y miles

4x + 12y = 20

divide through by 2

2x + 6y = 10 ••••••(ii)

From i , x = 4-y

Substitute this into ii

2(4-y) + 6y = 10

8 - 2y + 6y = 10

8 + 4y = 10

4y = 10-8

4y = 2

y = 2/4 = 0.5 hours

The number of hours spent walking = 4-0.5 = 3.5 hours

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.

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 .