Answer:
10) 35
14) x = 1/2
18) 10 cm
Step-by-step explanation:
For question 10, we can set up a proportional equation, cross-multiply and solve for the missing number:
![(x)/(14) = (5)/(2)](https://img.qammunity.org/2019/formulas/mathematics/high-school/v3f9lrzujhhio8u6ptcs97n7pdzoyv9hou.png)
2x = 14(5)
2x = 70
2x / 2 = 70 / 2
x = 35
The missing number is 35
For question 14, we isolate variables on one side of the equation and constants on the other by performing whatever operations are necessary and then solve for the variable:
14x + 2 = 9
14x + 2 - 2 = 9 - 2
14x + 0 = 7
14x = 7
14x / 14 = 7 / 14
x = 7 / 14
x = 1/2
x =
![(1)/(2)](https://img.qammunity.org/2019/formulas/mathematics/college/q5zg49mbtfrwobmmahi676fbgez56hhab0.png)
For question 18, there are 10 millimeters (mm) in 1 centimeter (cm) so we can use this relationship so set up a conversion factor and cross-multiply to find the missing value like we did in question 10:
![(10)/(1) = (100)/(x)](https://img.qammunity.org/2019/formulas/mathematics/high-school/9ly617ypw7xr9jhu8urzs0rfsesu1nwaar.png)
10x = 100(1)
10x = 100
10x / 10 = 100 / 10
x = 10
There are 10 cm in 100 mm.