The scale of a map is 1 in : 500 miles. City A is 650 miles from city C. How far is its distance on the map

Answer: 9.375 cm

Step-by-step explanation:

From the given picture, it can be seen that the measure of side 'c' in triangle = 1.92 cm

The actual length of 'c' in the triangle = 15 cm.

The scale factor =

Now, the length of side 'a' = 1.2 cm

The actual length of side 'a'

Answer:

66.67 ml of 5% solution and 133.33 ml of 6.5% solution are mixed.

Step-by-step explanation:

Let 200 ml of 6% solution is formed by mixing x ml of 5% solution and y ml of 6.5% solution.

We can write the equation x + y = 200 ........ (1)

Now, x ml of 5% solution will contain ml of acid  

Again, y ml of 6.5% solution will contain ml of acid.

So, mixing them together will give (0.05x + 0.065y) ml of acid in 200 ml of solution.

So, from the condition given we can write  

⇒ 0.05x + 0.065y = 12  

⇒ x + 1.3 y = 240 ........... (2) {Dividing both sides by 0.05}

Now, solving equations (1) and (2), we get

0.3y = (240 - 200) = 40

⇒ y = 133.33 ml  

From equation (1) we get, x = 200 - 133.33 = 66.67 ml

Therefore, 66.67 ml of 5% solution and 133.33 ml of 6.5% solution are mixed. (Answer)

The top and bottom faces are 3 inches by 3 inches.

Area = 3 in. * 3 in. * 2 = 18 in.^2

The front, back, right, and left faces are 3 in. by 6 in.

Area = 3 in. * 6 in. * 4 = 72 in.^2

Total surface area = 18 in.^2 + 72 in.^2 = 90 in.^2

Answer: B. 90 square inches