Six friends were making a pattern. each friend had 2 blue blocks and 3 red blocks. they used all their blocks in the pattern.
how many blocks did they use in all?

a. 5

b. 11

c. 24

d. 30

e. 36

D. 30

Step-by-step explanation:

Given;

Number of friends = 6

Number of blue blocks each friend has =2

Number of red blocks each friend has = 3

We need to find Total number of blocks used in all.

Solution:

we know that they used all their blocks to make the pattern.

First we will find total number of blocks each friend has.

Total Number of blocks each friend has is equal to sum of Number of blue blocks and Number of red blocks.

Framing in equation form we get;

Total Number of blocks each friend =

Now Total Blocks used is equal to product of number of friends and total number of blocks used by each friend.

Framing in equation form we get;

Total number of blocks used =

Hence They used 30 blocks to make the pattern.

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.