Mr.Jones charges $800 per lesson and requires 3 lessons
That means mr Jones will charge Samantha 800x3 = $2400 in total.
Mr. Police charges $62 per lesson and requires 4 lessons,
62x4 = $248 in total.
Since mr. Police charges less than mr.Jones, it would be a better deal for Samantha.
IN CASE YOU WROTE THE QUESTION WRONG AND MR JONES CHARGES $80 PER LESSON
In that case it would be 80x3 = $240 in total
mr jones would charge less now and it would be better deal for Samantha.
Let AM be the distance between point A and the right wall and AN be the distance between A and the left wall.
Δ AMB is an isosceles right triangle and Δ ANC is half of an equilateral triangle.
Length of AM = 30 m. Length of AN = 1/2 · 80 = 40 m.
The distance between the walls is:
30 m + 40 m = 70 m.
Answer:
I promise you this is easier than it looks, just bare with me.
You have to order these numbers from the smallest to the biggest. Now before we do this, we wanna make the fractions and mixed numbers decimals to make this easier.
5 8/11
Convert the fraction to a decimal: Divide the numerator by the denominator. (8 divide by 11).
Add this decimal number to the whole number part of the mixed number. (0.72 plus 5)
It would be 5.72
Now 57/10
The same steps as the last one, but since it isn't a mixed number you don't add anything. (57 divided by 10)
It would be 5.7
Now we have to order them from least to greatest. How do we figure that out? Well lets list the numbers that we have now:
5.72
5.7
5.67
5.726
Now since they all have the same whole number, we just have to look at the numbers after the decimal. Well the least number we have here is "7". Then it would be 67, then 72, then 726.
So the answer would be from least to greatest:
5.7
5.67
5.72
5.726
I hope this helps..sorry if I took so long I wanted to make sure I explained this as good as I can so you don't keep struggling. Good luck, take care <3
Have a good night/day (:! Much love!
Total capacity = sum of the individual production capacities.
Here,
Total capacity = sum of f(m) = (m + 4)^2 + 100 and g(m) = (m + 12)^2 − 50.
Then f(m) + g(m) = (m + 4)^2 + 100 + (m + 12)^2 − 50.
We must expand the binomial squares in order to combine like terms:
m^2 + 8 m + 16 + 100
+m^2 + 24m + 144 - 50
---------------------------------
Then f(m) + g(m) = 2m^2 + 32m + 160 + 50
f(m) + g(m) = 2m^2 + 32m + 210, where m is the number of
minutes during which the two machines operate.
Answer:
110 degrees, 84 degrees
Step-by-step explanation:
Picture 1:
See attached image for the angles I am referencing.
measure of angle a= measure of the 110 degree angle because of corresponding angles
measure of angle b=measure of angle a because of vertical angles
Therefore, through transitivity, we can state that the measure of
angle b= angle a= 110 degrees
Picture 2:
angle x=84 degree angle through alternate interior angles.
