The ratio of white marbles to blue marbles in Olivia's bag is 2 to 5. If there are more than 50 marbles in the bag, what is the minimum number of marbles that can be in the bag?

Step-by-step explanation:

the distributing ratio is 2:5.

that means for every 2 white marbles there must be 5 blue marbles.

so, we are taking about "groups" or multiples of 7 (2+5 = 7).

now, even 7×7 = 49 is too small.

but the next multiple of 7 (7×8 = 56) is now big enough to include at least 50 marbles.

so, in order to keep the 2:5 ratio strictly in place, the minimum number of marbles in the bag is 56.

at first, in 1635, the evening meetings had been just for women . .

what relationship between ideas is shown in the text above?

question 1 options:

location of events

similarity of events

timing of events

examples of an idea

step-by-step explanation:

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 .