Answer:
5.83 blocks away from his home
Step-by-step explanation:
If he travels 5 blocks south and 3 blocks west, the distance from his house considered along with the distances travelled gives a right angled triangle whose opposite side and adjacent sides are the distances travelled north and west.
The distance from his house after moving 3 blocks west is the hypotenuse side. As such, the distance may be computed using Pythagoras' theorem. Let the distance from his house be G
G^2 = 5^2 + 3^2
G^2 = 25 + 9
= 34
G = √34
=5.83
John is 5.83 blocks away from his home
O.533333333,basically 8 divide by 15
One scarf=s
One hat=h
2s+h=13
s+2h=14
h=13-2s
(plug that into the other equation)
s+2(13-2s)=14
s+26-4s=14
26-3s=14
-3s=-12
s=4
One hat=$5
One scarf=$4
5+4=9
Price of one hat AND one scarf is $9
Answer:
43/18
Step-by-step explanation:
2/3(1/3+ 3 1/4)
2/3(1/3+ 3 1/4)
find the lowest common denominator (12) to add the two fractions.
1/3= 4/12;
3 1/4= 13/4 = 39/12
4/12+ 39/12= 43/12
2/3(43/12)
- Then multiply the fractions.
2/3(43/12)
Numerator: 2*43= 86
Denominator: 3*12= 36
86/36
- Last simplify your fraction.
43/18 or 2 7/18