In a box,
number of red buttons:
number of blue buttons
= 5: 3

number of blue buttons:
number of green buttons
= 1: 2

there are 48 green buttons in the box.
work out the number of red buttons in the box.

Number of red buttons = 40

Step-by-step explanation:

red : blue = 5:3

blue : green = 1:2

Green is 48.

We find blue first.

blue : green = blue / green

1:2 = 1/2

b - blue

1/2 = b/48

Cross multiply

48 × 1 = 2 × b

48 = 2b

48 ÷ 2 = b

24 = b

Blue : Green = 24 : 48

Now we find red.

red : blue = red / blue

5 : 3 = 5 / 3

r - red

5/3 = r/24

Cross multiply.

5 × 24 = 3 × r

120 = 3r

120 ÷ 3 = r

40 = r

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

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step-by-step explanation: