Sydney asked her friends to write down the number of hours they practice their instruments each week. The data is shown. 1, 6, 6, 5, 2, 2, 0, 5, 6, 7

I am not sure if you were trying to find the mean- but if you are it is: 4

Step-by-step explanation:

For mean, you add all of the numbers and once you have that sum, you divide by the number of things you added.

Work:

1, 6, 6, 5, 2, 2, 0, 5, 6, 7

add all of those = 40

divide by 10 (because there are 10 things to add) = 4.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584