Answer:
219 games.
Step-by-step explanation:
Given the following data;
Cost of each game = $3
Cost of award = $150
Let x = number of games played.
Translating the word problem into an algebraic equation, we have;
<em>Rearranging the equation, we have;</em>
<em>Dividing both sides by 3, we have;</em>


<em>Therefore, the number of games to be played in order to make $507 is at least 219 games. </em>
Answer:
7 ft 1 1/4 in
Step-by-step explanation:
The total width of 3 paintings and 2 spaces is ...
(10.5 in) + (3 in) + (3 ft 6 in) + (3 in) + (2 ft 2 3/4 in)
= (10.5 +3 +6 +3 +2.75) in + (3 +2) ft
= 25.25 in + 5 ft = 1.25 in + 24 in + 5 ft
= 7 ft 1 1/4 in
The total width of wall space needed for the paintings is 7 feet 1 1/4 inches.
_____
If two more 3-inch spaces are added, one on each end, then the total width is 7 feet 7 1/4 inches. The problem isn't clear about that, saying only that there are spaces between the paintings.
Answer:
1. no solution
2. any value of x makes the equation true
3. x=1
4. any value of x makes the equation true
Step-by-step explanation: hope that answers your question :)
Answer:
6
Step-by-step explanation:
Remember: Each layer has 6 cubes. Step 3 Count the cubes. cubes Multiply the base and the height to check your answer. So, the volume of Jorge's rectangular prism is cubic centimeters. if wrong very sorry
Answer:
See below
Step-by-step explanation:
17. 17x + 3 x=4 18. -2x + 1 / 3 x= -5
17(4) + 3 - [(2)(-5) + 1] / 3
68 + 3 - [-10 + 1] /3
71 9/3 or 3
19. 2x - 33 x=9 20. - 9x - 2 x=7
(2)(9) - 33 -(9)(7) - 2
18 - 33 -63 - 2
- 15 -65
21. 7/3x - 9 x=3 22. - [12x/5] x= -1
(7/3)(3) - 9 - [(12)( -1)/5]
7 - 9 - [ -12/5 ]
-2 2.4
23. 11x - 11 x = -11 24. (2/9)x - (9/2) x= 9
- 121 - 11 (2/9)(9) - (9/2)
-132 2 - (9/2) ( 2 can be shown as 4/2)
(4/2) - (9/2)
- 5/2 or - 2.5
25. f(x) = 0.12x + 4.52 x = 250 26. f(x) = 0.18x + 3.12 x= 175
= (0.12)(250) + 4.52 = (0.18)(175) + 3.12
= 30 + 4.52 = 31.50 + 3.12
= 34.52 = 34.62