Answer:
- 20 taffy bags and 15 caramel candy bags
Step-by-step explanation:
<u>Given:</u>
- t = the number of taffy bags
- c = the number of caramel bags
- Number of taffy's are 5 more than caramel bags
- Taffy bags weigh 8 ounces and caramel bags weigh 16 ounces
- Total weight is 400 ounces
<u>Equations:</u>
- t = c + 5 (the difference in number of bags)
- 8t + 16c = 400 (the weight of the bags)
<u>Simplify the second equation by dividing all terms by 8:</u>
<u>Substitute t and solve for c:</u>
- c + 5 + 2c = 50
- 3c = 50 - 5
- 3c = 45
- c = 45/3
- c = 15
<u>Find the value of t:</u>
<u>Answer:</u>
- 20 taffy bags and 15 caramel candy bags
3.579 is greater.
It is relatively closer to 4 than the other number. 3 and 3 are equal, 5 and 5 are equal, but 7 is greater than 6. Hope this helps :)
Answer:
D
Step-by-step explanation:
Answer:
1) When x is 1, y is 4, and vice versa
2) When x is -6, y is 42, and when x is 7, y is 114
3) When x is -2, y is 2, and when x is 8, y is 42
Step-by-step explanation:
1)
which can be rearranged as 
.
Substituting this lone y into the first equation, you get:
Move everything to one side:
Factor:
2)
which can be rearranged as 
.
Let's use elimination this time and subtract the first equation from the second:
Factor:
3)
Let's set the two equations equal to each other through substitution:
Move everything to one side:
Factor:
Hope this helps!
Answer:
a^2 - 25.
Step-by-step explanation:
(5 + a)(-5 + a)
= -25 + 5a - 5a + a^2
= a^2 - 25.
