Answer:
The statement which describes the ratio of weight to mass and the value of x is ⇒ 98/10 ; = 110 answer B
Step-by-step 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
