Answer:
78.6km/h
Step-by-step explanation:
<em><u>Speed=distance÷time</u></em>
<u>distance</u>=21km
<u>time</u>=16 minutes<u>(convert into hour by dividing it</u> <u>with 60)</u>
=16÷60=0.267
Speed=21÷0.267=78.65km/h
Answer:
28 5 dollar bills
12 10 dollar bills
Step-by-step explanation:
You can write two equations to model this situation'
x will be the number of 5 dollar bills
y will be the number of 10 dollar bills
x+y=40
5x+10y=260
There are a couple of ways you can solve this but but I will be doing it through substitution because that looks easier (I can explain other methods if you're interested)
So we have x+y=40
If I subtract y from both sides and divide by -1 we get
-x+40=y
We can then plug this value in for y in the second equation
5x+10(-x+40)=260
Distribute the 10 and combine like terms to get
-5x+400=260
subtract 400 from both sides and divide by -5 to get
x=28
This means that there are 28 5 dollar bills. We can plug this value back in for x into our first equation to solve for y
28+y=40
Subtract 28 from both sides
y=12
This means that there were a total of 28 5 dollar bills and 12 10s
I doubled checked this in desmos and it checks out
-38/100
simplified...
<span>-19/50 is your answer!
</span>
Answer
log8(62)=2
Step-by-step explanation:
Convert the exponential equation to a logarithmic equation using the logarithm base (8) on the right side (64) equals the exponent (2)
Firstly try to find the number between 100 and 400 which are actually divisible by 13 so
104,117,130………. 390
If you see the above arrangement the difference between numbers are common so we can apply arithmetic progression.
By arithmetic progression, last term can be denoted by
l= a+(n-1)d
Where l=390
a=104
d=13
n=?
390=104+(n-1)13
13n=286+13
n= 299/13
n= 23
So total number of terms =23
By using arithmetic progression sum of all A.P terms = (n/2)(a+l)
Sum = (23/2)(104+390)
=(23/2)*(494)
= 5,681
So answers is 5,681.