high school students=15 study neither Latin nor French=3 so,study any of them= 15-3=12  study Latin=7 study French = 8

So study both = (7+8-12) =3

The only way you can subtract from a number and get an answer larger than the number is to subtract a negative quantity

in 100 grams of food there are  300 clalories in   1 grams of food there are  300/100 clalories in 30 grams of food there are  300 X30/100 clalories=90 calories

If he was 32 eight years ago, then now he is 32+8=40. So x years ago he was 40-x.

The first cyclist has a 3 hour head start--and in those three hours, has traveled 3 X 6 = 18 miles. The question now is: how long will it take for the second cyclist to travel 18 miles more than the first cyclist. The second cyclist will gain 10 - 6 = 4 miles / hour so 18 / 4 = 4.5 hours the second cyclist will catch up in 4.5 hours after starting. with equation goodness: distance = speed  X time (where t is time after the second cyclist starts) 18 = 10t - 6t = 4t 18/4 = t = 4.5

since one plane travel north, the other west, they are at right angles

North = 150X2 =300

West = 200X2=400

By Pythagoras' Theorem, 300 square + 400 square = x square( where x is the distance) x = 500m

here, she needs= 15/16 - (3/8 + 3/5)  = 15/16 - (15 + 24)/40  = 15/16 - 39/40  = (75 - 78)/80  = - 3/80 = 15/16 - (3/8 + 3/5)

= 15/16 - (15 + 24)/40

= 15/16 - 39/40

= (75 - 78)/80

= - 3/80

original price = $450 The sale price will be = the original price less 15 % discount 15% off so the sale price = 450-0.15*450 sale price = $ 382.50 Employee gets 20% off on this price The employee has to pay= 382.50 - (0.20X382.50)= $306

equation is x+(3x/5)(10)+(x/5)(10)=45 x+(3x/5)(10)+(x/5)(10)=45 x+6x+2x=45 9x=45 x=5

Basically any multiple of these number so if you factorize 15 its = 3 x 5  therefore 2x3x5 = 30  So, K + 30 will always be divisible by the given numbers.

Let n = tens digit Let m = units digit Then your whole number is N = 10 X n + m……(1) here,  n + m = 1/7 X (10Xn + m)……….(2)

the units digit is 3 or

m = 3

Now to solve, put 3 into (2) and get

n + 3 = 1/7 X (10 X n + 3) or, 7 X n + 21 = 10 X n + 3 where  simply multiplied both sides by 7.

Or,3Xn = 18  or, n = 6

Therefore your number is from (1)

N = 10X6 + 3 or  N = 63  

There are 100*3=300 senior

There are 150*2=300 junior

There are 200*1=200 sophomore  total student=(300+300+200)=800

Prob  of selecting  a senior = 300/800=3/8

 6 workers can complete 9 identical jobs in 3 days.  1 worker can complete 9 identical jobs in 18 days  4 workers can complete 36 identical jobs in 18 days  4 workers can complete 10 jobs in 5 days.