Let the number of chemistry books be x and the number of calculus books be y
total number of books in each case is:
x+y=24
x=24-y.....i
Weight of each case:
2707.2/20
=135.36
thus
4.2x+6.0y=135.36..ii substituting i in ii
4.2(24-y)+6y=135.36
100.8-4.2y+6y=135.36
hence
1.8y=34.56
y=19.2
hence
x=24-19.2
x=4.8
thus the number of chemistry books was 4.8*20=96 number of calculus was
19.2*20
=384 books
Answer:
She ran a total distance of 8,800m or 8.8km
Step-by-step explanation:
In this question, we are asked to calculate the total distance ran by Leilani if at each meet she runs a distance that is exactly equal to a quarter of the total and she competed 22 times during the year.
Firstly, we proceed to calculate the the distance she runs at each relay for her team. We were told she runs a distance equivalent to a quarter.
Mathematically, the distance she runs will be ; 1/4 * 1,600 = a distance of 400 meters
Now, we are told that she ran at 22 different track meets last year. So the total distance she ran will be 22 * 400 = 8,800m or 8.8km
Answer:
y = √(5x+34)
Step-by-step explanation:
The regression formula that matches a square root function to these points can be worked out by a suitable calculator. The attachments shows the points are matched exactly by the function ...
y = √(5x+34)
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If you would like to work this by hand, you can put the (x, y) point values into the proposed equation and see what the coefficients need to be:
y = √(ax +b)
7 = √(3a +b) ⇒ 49 = 3a +b
8 = √(6a +b) ⇒ 64 = 6a +b
Subtracting the first equation from the second, gives ...
(64) -(49) = (6a +b) -(3a +b)
15 = 3a ⇒ a = 5
49 = 3(5) +b ⇒ b = 34
First you need to fill in the variables with what you already know, so
t=2m+40.
You don’t have enough information to solve this problem. You need to have only 1 variable to solve it or you need more information
20/6 because 20 x 3 = 6 x 10 = 60. 309 is equivalent to 10/3 because 30 x 3 = 9 x 10 = 90.
40/12 is equivalent to 10/3 because 40 x 3 = 12 x 10 = 120.
