Answer:
46. <u>(3) 29</u>
47. <u>(1) y = -4x + 3</u>
48. <u>(3) 3</u>
49. <u>(3) -1/2</u>
50. <u>(4) 25x - 75</u>
Step-by-step explanation:
<u>Question 46</u>
- Let red marbles be 2x + 3 and black marbles be x
- 2x + 3 + x = 42
- 3x = 39
- x = 13
- No. of red = 2(13) + 3 = 29 marbles
- <u>(3) 29</u>
<u></u>
<u>Question 47</u>
- Parallel to a line means the slope is the same
- <u>(1) y = -4x + 3</u>
<u></u>
<u>Question 48</u>
- For the expression to be undefined, the denominator has to be 0
- x - 3 = 0
- x = 3
- <u>(3) 3</u>
<u></u>
<u>Question 49</u>
- Slope = -4 - 1 / 4 + 6
- Slope = -5/10
- Slope = -1/2
- <u>(3) -1/2</u>
<u></u>
<u>Question 50</u>
- Total = 25x
- Left 3 boxes at home = -3x = -3(25) = -75
- <u>(4) 25x - 75</u>
Answer:it has one and only one solution.
Step-by-step explanation:
The given system of equations is expressed as
4x - 5y = 24 - - - - - - - - - - - - -1
2x + 3y = -10 - - - - - - - - - - - - - 2
We would eliminate x by multiplying equation 1 by 1 and equation 2 by 2. It becomes
4x - 5y = 24
4x + 6y = - 20
Subtracting, it becomes
- 11y = 44
Dividing the left hand side and the right hand side of the equation by
- 11, it becomes
- 11y/- 11 = 44/- 11
y = - 4
Substituting y = - 4 into equation 2, it becomes
2x + 3 × - 4 = -10
2x - 12 = - 10
2x = - 10 + 12
2x = 2
Dividing the left hand side and the right hand side of the equation by
2, it becomes
2x/2 = 2/2
x = 1
The money collected during the second week was : 840
<h3>Determine the amount collected </h3>
Analysis:
Total number of persons.
number of persons that paid first week = 12
number that paid second week = 62 - 12 = 50
if each person is to pay 16.40, then 50 people would pay = 16.4 x 50 = 840 dollars.
Hence we can conclude that The money collected during the second week was : 840
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Answer:
(-6,-2)
Step-by-step explanation:
the solution is -6,-2 because y comes before x, and the line crosses in the negative axis.
I think that was what you were asking. I hope.
