Q5. The ratio of boys to girls in a group is 7:1. If there are 48 more boys than girls, work out how many girls there are.

There are 8 girls

Step-by-step explanation:

We see that right now there are 6 more boys than girls and if there were 2 girls there would be 14 boys meaning there would be 12 more boys than girls if you continue in this pattern you would get-

7:1= 6 more boys                   35:5=30 more boys                                                

14:2= 12 more boys                42:6= 36 more boys

21:3=18 more boys                 49:7= 42 more boys

28:4= 24 more boys               56:8= 48 more

This shows us that if there are 8 girls in  group there are 56 boys meaning there are 48 more boys than girls if the group had 8 girls

correct answer:

a + bi

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true