Each marble bag sold by Mary's Marble Company contains 5 blue marbles for every 4 purple marbles. If a bag has 35 blue marbles, how many purple marbles does it contain?

The total no. of purple marbles will be:

Step-by-step explanation:

It is given that for every 5 blue marbles, we have 4 purple marbles. And similarly we have to find for the no. of purple marbles for 35 blue marbles.

First, Let's divide these 35 blue marbles in groups of 5. We will get:

➝ 35 ÷ 5 = 7 groups

For each group of 5 marbles, there are 4 purple marbles. So for 7 groups, No. of purple marbles will be:

➝ 4 × 7 = 28 purple marbles.

And we are done! :D

step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .