Question

The table below lists four names and their corresponding aproximant weights on earth.

________________________________
mass (kilograms) | weight (newtons)
20 | 196
50 | 490
x | 1078
130 | 1274
140 | 1372
the ratio weight to mass in contant. wich statemen describes the ratio of weight to mass and the value of x in the table?
A. 98/10; X =90
B. 98/10; =110
C. 10/98; X =90
D. 10/98; X= 110

Answer 1

The ratio of weight to mass is constant. Write the ratio of weight to mass in simplest form to represent the table. Answer: 9.8

What should the value of x be in the table? Answer 110 kilograms

Answer 2

The statement which describes the ratio of weight to mass and the value of x is ⇒ 98/10 ; = 110 answer B

Explanation:

* Lets explain how to solve the problem

- The mass (kilograms) values are

20 , 50 , x , 130 , 140

- The corresponding weight (newtons) values are

196 , 490 , 1078 , 1274 , 1372

* Lets find the ratio between weight to mass

∵ 196/20 ⇒ divide up and down by 2

∴ 196/20 = 98/10

∵ 490/50 ⇒ divide up and down by 10

∴ 49/5 ⇒ multiply up and down by 2

∴ 49/5 = 98/10

∴ 490/50 = 98/10

∵ 1274/130 ⇒ divide up and down by 13

∴ 1274/130 = 98/10

∵ 1372/140 ⇒ divide up and down by 14

∴ 1372/140 = 98/10

- All the ratios between weight to mass equal 98/10

∴ 1078/x = 98/10 ⇒ by using cross multiplication

∴ 98(x) = 1078(10)

∴ 98 x = 10780 ⇒ divide both sides by 98

∴ x = 110

* The statement which describes the ratio of weight to mass and the

value of x is 98/10; = 110