Which value for x makes the sentence true?

4/5x = 5/6

A.
25/24

B.
2/3

C.
49/30

D.
1/30

C. 49/30

Roger built a model car of a station wagon he actually owns. Based on the ratio on the box, he knows that every inch in the length of his model car represents 25 inches of length in his actual station wagon. The station wagon's car manual shows that the length of the actual car is 193.75 inches.

Complete the following equation so that it can be used to find the length, m, of the model car, then find the length of the model car.




The length of the model car is
inches.

The equation is:

m/1 = 193.75/25

Simplifying, we get:

m = 7.75

Therefore, the length of the model car is 7.75 inches.

Roger built a model car of a station wagon he actually owns. Based on the ratio on the box, he knows that every inch in the length of his model car represents 25 inches of length in his actual station wagon. The station wagon's car manual shows that the length of the actual car is 193.75 inches.

Complete the following equation so that it can be used to find the length, m, of the model car, then find the length of the model car.

The equation is:

m/1 = 1/25 * 193.75

Simplifying, we get:

m = 7.75 inches

Therefore, the length of the model car is 7.75 inches.

Wanda has two times more shirts than her brother, Will.

The equation a = 2b, where a represents the number of shirts Wanda has, and b represents the number of shirts Will has, shows this relationship.

If Wanda has 18 shirts, how many shirts does Will have?

From the given equation, we know that a = 2b. We also know that a = 18, since Wanda has 18 shirts.

Substituting a = 18 into the equation, we get:

18 = 2b

To solve for b, we can divide both sides by 2:

b = 9

Therefore, Will has 9 shirts.

508 + x = 731

To solve for x, we need to isolate it on one side of the equation.

We can do this by subtracting 508 from both sides:

508 + x - 508 = 731 - 508

Simplifying, we get:

x = 223

Therefore, x equals 223.

Leo and Lucy are making friendship bracelets. Leo has two times more beads than Lucy.

The equation given below shows this relationship, where p represents the number of beads Leo has, and q represents the number of beads Lucy has.

If Leo has 12 beads, how many beads does Lucy have?