Answer:
1. 1:4
2. y = 4 x X
3. yes
Step-by-step explanation:
1. every 1 minuet he cleans 4 shrimp
2. y is the number of shrimp and x is the time. if every miuet he cleans 4 shrimp, then that means you have to multiply the shrimp by the minuets. for example, if he spends 2 minuets, he cleans 8 shrimp because 2 x 4 = 8.
3. This is a proportional relationship because if you were to put this on a graph, it would be a strait line. for example, if you were to plot x (the time) on a line (this line would go horizontal) and y (shrimp) on the line (this line goes verticle) 1 minuet = 4 shrimp. 2 minuets = 8 shrimp. 3 minuets = 12 shrimp. 4 minuets = 16 shrimp.
i hope this helps. tell me if this is too confusing or if you need more help. have a great day :)
Answer:
#11-13: 118 , 97 , 62
#7-10: 92 , 125 , 56 , 130
Step-by-step explanation:
#11. Supplementary angles (A + B = 180)
- (n + 7) + (3n - 47) = 180
- n = 55
- <ABC = 3(55) - 47 = 118 degrees
#12. Supplementary angles
- 83 + x = 180
- x = 97
- <ABC = 97 degrees
#13. Congruent angles (A = B)
- (8x - 34) = (5x +2)
- x = 12
- <DEF = 5 (12) + 2 = 62 degrees
#7. Congruent angles
- (3x +23) = 4x
- x = 23
- <ABC = 4(23) = 92 degrees
#8. Congruent angles
- 5x = (3x + 50)
- x = 25
- <MPQ = 3(25) + 50 = 125 degrees
#9. Congruent angles
- (a + 28) = 2a
- a = 28
- <MNP = (28) + 28 = 56 degrees
#10. Congruent angles
- 5y = (2y + 78)
- y = 26
- <WXZ = 5(26) = 130 degrees
I hope this helps!
This question is incomplete
Complete Question
Write a rational equation that relates the desired percentage p, to the amount A of a 30% solution that needs to be added to 1 liter of 10% acid solution to make a blend that is p% acid, where 0<p<100 . What is a reasonable restriction on the set of possible values of ? Explain your answer.
Answer:
100(0.1 + 0.3A)= (1 + A) P
Step-by-step explanation:
A of a 30% solution that needs to be added to 1 liter of 10% acid solution to make a blend that is p% acid,
Hence,
10% of 1 + 30% of A = p%(1 + A)
0.10 + 0.3A = (p/100)(1 + A)
Divide both sides by 1 + A
0.1 + 0.3A/ 1 + A = p/100
Cross Multiply
100(0.1 + 0.3A) = 1 + A(p)
From the above calculation, we can see that, the blend that would be formed is not lower than 10% or greater than 30%
10% < p< 30%
Correct answer is a) 27 degrees.
P = 2(L + W)
P = 292
L = 5W - 4
292 = 2(5W - 4 + W)
292 = 2(6W - 4)
292 = 12W - 8
292 + 8 = 12W
300 = 12W
300/12 = W
25 = W <=== width is 25 ft
L = 5W - 4
L = 5(25) - 4
L = 125 - 4
L = 121 <=== length is 121 ft
