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
If you can't figure out how to do it, you can always use your answer choices, so for example, use choice a (21 degrees). Plug in 21 for x for both equations. So for the first equation that would be 7(21)-1= 146 and second equation 3(2)-9= 54. Then you would add the results, 146+54=200. In that case, choice 21 is wrong because both of these angles should equal to 180 since it is a supplementary angle. I hope that helped.
First one: A=5
Second one: no solution
Answer:
x<3
Step-by-step explanation:
5x+2<17
Subtract 2 from both sides.
5x<17−2
Subtract 2 from 17 to get 15.
5x<15
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
x=15/5
Divide 15 by 5 to get 3.
x<3
Answer:
1
Step-by-step explanation:
First, convert all the secants and cosecants to cosine and sine, respectively. Recall that 
and 
.
Thus:
Let's do the first part first: (Recall how to divide fractions)
For the second term:
So, all together: (same denominator; combine terms)
Note the numerator; it can be derived from the Pythagorean Identity:
Thus, we can substitute the numerator:
Everything simplifies to 1.
