translate the following word problems into equations and solve.
1. four less than twice a number is ten. find the number. 7
2. three more than three times a number is one less than two times the number. what is the
number? -4
3. the sum of seven times a number and the number is 24. what is the number?
4. negative 18 is the sum of five and a number. find the number.
5. negative 14 is equal to ten minus the product of six and a number. what is the number?
6. two less than twice a number equals the number plus 12. what is the number?
7. the difference between three times a number and 31 is two. what is the number?
8. sixteen is fourteen less than the product of a number and five. what is the number?
9. eight more than twice a number is four times the difference between five and the number.
what is the number?
10. three less than twice a number is three times the sum of one and the number. what is the
number?

1.

Step-by-step explanation:

1. 2x-4=10

2x=14

x=7

2. 3x+3=2x-1

3x-2x=-1-3

x=-4

3. 7x+x=24

8x=24

x=3(

4. 5+x=-18

x=-18-5

x=-23

5. -14=10-6x

6x=10+14

6x=24

x=4

6. 2x-2=x+12

2x-x=12+2

x=14

7. 3x-31=2

3x=2+31

3x=33

x=11

8. 5x-14=16

5x=16+14

5x=30

x=6

9. 2x+8=4(5-x)

2x+8=20-4x

2x+4x=20-8

6x=12

x=2

10. 2x-3=3(1+x)

2x-3=3+3x

2x-3x=3+3

-x=6

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )

the first option is the answer.