Question

OLUCID 9" LULICI alla Muller NedUVOIRS Clever Portal Maulson White - SU. heps://useast2-w... L for School: Practice & Problem Solving 5.2.PS-20 Question Help If 10 miles ~ 16 km, about how many miles would be equal to 140 km? Show how you decided. 16 km 140 km Find the factor that is multiplied by the denominator of the given ratio. 16 km x 8.75 = 140 km (Type an integer or a decimal.) Multiply the numerator of the given ratio by the factor from the previous step to solve the problem. About miles would be equal to 140 km. (Type an integer or a decimal.) Vi More Enter your answer in the answer box and then click Check Answer. Final Check Clear All All parts showing

Answer 1

We are given the following conversion factor:

$10\text{ miles=}16\text{ km}$

We are asked to determine how many miles are 140 km. To do that we use the quotient of the conversion factor where the unit we want to convert to is in the numerator and the given unit in the denominator. Since we want to find miles we use the following quotient:

$\frac{10\text{ miles}}{16\text{ km}}\times140\operatorname{km}$

Solving the operations we get:

$\frac{10\text{ miles}}{16\text{ km}}\times140\text{ km=87.5 miles}$