Steve has 50 notebooks with red covers but only 40 notebooks with blue covers. If he uses up 6 notebooks with red covers and 4 with blue covers each month, in how many months will he have the same number of red as blue notebooks?

5 months

Step-by-step explanation:

The first thing to do is to obtain the difference between the two numbers of colored books, 50 and 40.

50 - 40 = 10 notebooks.

We need to calculate how long it will take for this difference to disappear, noting that Steve uses more of the red cover notebooks every month. The difference on a monthly basis is

6 - 4 = 2 notebooks per month

So, now the number of months will be gotten from;

Number of months =

Number of months = = 5 months

We can check for this,

After 5 months, Steve would have used 5 × 6 red cover notebooks = 30

and 5 × 4 blue cover notebooks = 20

The remaining number of books will be:

RED: 50 - 30 = 20 red cover notebooks

BLUE: 40 - 20 = 20 blue cover notebooks.

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq