The least common multiple of 14 and 24 is 168.
The lights flash together every 168 minutes.
168 minutes = 2 hours 48 minutes.
If they flashed together at 8 AM, then they'll flash
together again at 10:48 AM.
Anzelm wants to burn 540 calories while jogging. Jogging burns about 12 calories per minute.
he usually plans to stop and rest for about 5 minutes.
m represents the total minutes.
12 calories per minute.
for m minutes the calories burn is 12m
He stop and rest for about 5 minutes. so we need to subtract 5 from total minutes
So expression becomes 12(m-5)
He wants to burn 540 calories. So we set the calories = 540
The equation becomes ,
12(m-5) = 540
Now we solve for m , total number of minutes
12(m-5) = 540(divide by 12 on both sides)
m - 5 = 45
m = 50 ( add 5 on both sides)
Anzelm should plan to be out jogging for 50 minutes
Answer:
(x+5)^2 = 1
Step-by-step explanation:
x^2+10x+24 = 0
Subtract 24 from each side
x^2+10x+24 -24 = 0-24
x^2+10x = -24
Take the coefficient of x
10
Divide by 2
10/2 =5
Square it
5^2 = 25
Add it to each side
x^2+10x+25 = -24+25
Take the coefficient divided by 2 inside the factor
(x+10/2) ^2 = -24+25
(x+5)^2 = 1
Step-by-step explanation:
⇒12)It is an arithmetic sequence.
d=2-1=3-2=4-3=1
a(n) = a +(n-1)d
a(n) = 1+(n-1)1
The next three terms:
a(6) = 1+(6-1)1=6
a(7) = 1+(7-1)1=7
a(8) = 1+(8-1)1=8
⇒13)It is an arithmetic sequence.
d=0-3=-3-0=-6+3=-3
a(n) = a +(n-1)d
a(n) = 3+(n-1)-3
The next three terms:
a(5) = 3+(5-1)-3=-9
a(6) = 3+(6-1)-3=-12
a(7) = 3+(7-1)-3=-15
⇒14)It is <u>not </u>an arithmetic sequence.
⇒15) a(50) = 10 +(50-1)5
=<u>255</u>
<u>I hope this helps</u>
<u />
