SOLUTION: Find the unknown term of the proportion using the indicated property: 1. 4:7=20:x (Cross multiplication Property) 2.15:40=X:65 (Alternation Property) Express each ratio of t

Algebra ->  Parallelograms -> SOLUTION: Find the unknown term of the proportion using the indicated property: 1. 4:7=20:x (Cross multiplication Property) 2.15:40=X:65 (Alternation Property) Express each ratio of t      Log On


   

Question 1179239: Find the unknown term of the proportion using the indicated property:
1. 4:7=20:x
(Cross multiplication Property)
2.15:40=X:65
(Alternation Property)
Express each ratio of the first quantity to the second quantity in lowest term.
1. 2500 m to 3 km
2. 3 cm to 1 dm
3. 5 boys to 20 girls
4. 20 minutes to 1 hour
5. 250 g to 2 kg
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
1.
4%3A7=20%3Ax
(Cross multiplication Property)
4x=20%2A7
x=%2820%2A7%29%2F4
x=5%2A7
x=35

2.
15%3A40=X%3A65
(Alternation Property)
15%2F40=X%2F65
3%2F8+=+X%2F65 .........If+a%2Fb+=+c%2Fd and is a proportion, then both d%2Fb+=+c%2Fa and a%2F+c+=+b%2Fd
3%2FX=8%2F65
X=%283%2A65%29%2F8
X=195%2F8

Express each ratio of the first quantity to the second quantity in lowest term.
1.
2500m%2F+3km=2500m%2F+3000m=25%2F30=5%2F6
2.
3cm%2F1dm=3cm%2F10cm=3%2F10
3.
%285boys%29%3A%2820girls%29=%281boy%29%3A%284girls%29
4.
20minutes%2F1hour=20minutes%2F60minutes=2%2F3
5.
250g%2F2kg=250g%2F2000g=1%2F8