422₅ - 143₅ = 224₅
We convert each number to base 10.
So 422₅ = 4 × 5² + 2 × 5¹ + 2 × 5⁰
= 4 × 25 + 2 × 5 + 2 × 1
= 100 + 10 + 2
= 112₁₀
143₅ = 1 × 5² + 4 × 5¹ + 3 × 5⁰
= 1 × 25 + 4 × 5 + 3 × 1
= 25 + 20 + 3
= 48₁₀
So 422₅ - 143₅ = 112₁₀ - 48₁₀ = 64₁₀
We now convert 64₁₀ to base 5
64 ÷ 5 = 12 r 4,
12 ÷ 5 = 2 r 2
2 ÷ 5 = 0 r 2
Counting upwards,
So, 65₁₀ = 224₅
So, 422₅ - 143₅ = 224₅
Learn more about number bases here:
brainly.com/question/18653770
Answer:
5040
Step-by-step explanation:
There are 7 options for the 1st song, 6 options for the 2nd song, 5 options for the 3rd song, 4 options for the 4th song, 3 options for the 5th song, 2 options for the 6th song, and 1 option for the 7th song. We get:
(<em>Note: when you have a number n, where it is multiplied by every number until one (ex. 7. 7*6*5*4*3*2*1), then the number in the result is n! (n factorial). So we get that 7*6*5*4*3*2*1 is 7! is 7 factorial. So 5040 is 7! </em>)
Alright
s=number of hours headd south
e=number of hours headed east
s+e=8
and
total is 147 miles
distance=speed times time
15s+24e=147
we got 2 equations
s+e=8
15s+24e=147
subsitution
s+e=8
minus e both sides
s=8-e
subsitut 8-e for s in other equaton
15s+24e=147
15(8-e)+24e=147
120-15e+24e=147
120+9e=147
minus 120 both sides
9e=27
divide both isdes by 9
e=3
sub back
s=8-e
s=8-3
s=5
it was headed south 5 miles
Given that the temperature is at 86 F, for us to know if Tom will have an extra break we need to convert this into Celsius;
f=1.8c+32
86=1.8c+32
making c the subject we getL
86-32=1.8c
54=1.8c
thus;
1.8c=54
hence;
c=54/1.8
c=30
since the temperature is 30 Celsius which is less than 32 Celsius it implies that Top won't go for extra brake.
First u need to read the problem second annalyze 3 create ecuation 4 solve 5 write it in words