Carrie is planning her birthday party at a restaurant. she cannot spend more than $75 on the party. the cost per person for the meal is $12. there is also a $10 charge for the room. the number of friends, f, that carrie can invite is represented by the inequality 12f + 10 < 75. how many friends can carrie invite to the party if her budget is $75 or less?

carrie can invite 5 friends with some money left over

Step-by-step explanation:

12f+10<75

12f<75-10     *carry the 10 over

12f<65           *simplify

f<65/12        *carry the 12 over

f<5.42         *simplify

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3