Shane and Gemma share 35 sweets in the ratio 1:4 1
Gemma eats 10 of her sweets and then gives Shane 2 of the sweets she has left.
(c) How many sweets does Shane have now?

Shane has 9 sweats now.

Step-by-step explanation:

Given that Shane and Gemma share 35 sweets in the ratio 1:4.

Let the share of Shane be = 'x'

Let the share of Gemma be = '4x'

The combined share of Shane and Gemma = x + 4x = 5x

Total sweets they share = 35

so the equation becomes

5x = 35

x = 7

Thus,

Share of Shane = x = 7

Share of Gemma = 4x = 4(7) = 28

Gemma eats 10 sweets, so she has left with 28-10 = 18 sweets

Gemma gave 2 of the sweets she has left.

As Shane has already 7 sweats, so adding 2 in 7 sweats would make it 9 sweats.

Therefore, Shane has 9 sweats now.

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk