In a housing estate the direct proportion of flats to houses is 2: 5. if there are 80 flats, how many houses are there?

 The required number of houses is 200.

Step-by-step explanation:  Given that in a housing estate, the direct proportion of flats to houses is 2 : 5 and there are 80 flats.

We are to find the number of houses.

Let 2x and 5x represents the number of flats and houses respectively.

Then, according to the given information, we have

Therefore, the number of houses is given by

Thus, the required number of houses is 200.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of