Answer:
Becky saves $4.86 by choosing to buy 18 bulbs in the 3 package sets
Step-by-step explanation:
Becky has 2 options here. She can buy 3 for $4.20 or 2 for $3.34. We can easily determine the prices because both 2 & 3 are factors of 18.
18 / 3 = 6, so multiply 6 * 4.20 to see that 18 bulbs will cost $25.20
18 / 2 = 9, so multiply 9 * 3.34 to see that 18 bulbs will cost $30.06
Now, we can see that buying sets of 3 is cheaper, we need to determine how much we are saving by choosing the cheaper option. (Use subtraction)
$30.06 - $25.20 = $4.86
Becky saves $4.86 by choosing to buy 18 bulbs in the 3 package sets
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:
Final answer is 
.
Step-by-step explanation:
Given expression is 
.
Now we need to factor the given expression completely. Let's use factor by grouping method.
Hence final answer is .
Answer:
1) 270 degrees
2) pi/4 rad
Step-by-step explanation:
1.) For which value of theta is sine theta = negative 1?
Given
sintheta = -1
theta = arcsin(-1)
theta = -90degrees
Since sin is negative in the third and 4th quadrant
In the third quadrant, theta = 180 + 90 = 270degrees
In the fourth quadrant, theta = 360 - 90 = 270 degrees
Hence the required value of theta is 270degrees
2) Given the radius of the circle to be 1, the y axis value will also be 1 units
Opposite = 1
adjacent = 1
hyp = √1²+1²
hyp = √2
sin theta = opp/hyp
sin theta = 1/√2
theta = arccsin(1/√2)
theta = 45 degrees
Express in radians
45 degrees = pi/4 radians
Hence the required angle in the first quadrant is pi/4 rad
