Answer:
-5/6= -0.8333
And
8/3=2.67
On the number line they will be
Answer:
[1] = 6
x = -3/2 is the root
Step-by-step explanation:
A perfect square trinomial is of the form ...
(a + b)² = a² +2ab +b²
You have ...
- a²=16w² ⇒ a = 4w
- b² = 36 ⇒ b = 6
- 2ab = 2(4w)(6) = 48w
Then the factorization is ...
16w² +48w +36 = (4w +6)²
This will be zero when x = -6/4 = -3/2.
Work:
A 12-pack of boxes is 4 3-pack of boxes, I found this by dividing 12 by 3.
A 24-pack of boxes is 2 12-pack of boxes, found by dividing 24 by 12.
A 24-pack of boxes is 8 3-pack of boxes, found by dividing 24 by 3 or by multiplying the two previous together (sometimes may not work)
Multiply
$1.09 × 4
That gets you to $4.36, which is less than the price of a 12-pack of boxes.
Then, multiply
$4.39 × 2
That gets you $8.78, which is less than a 24-pack of boxes.
Finally, multiply
$1.09 × 8
That gets you $8.72, which is less than a 24-pack of boxes.
Answer:
The best to buy is the 3-pack of boxes of juice, because it is cheaper when buying multiple of the 3-packs than it is to buy one or more of the 12-pack or 24-pack.
Hope this helps anyone with the question.
The problem is modelled in the first picture shown below
To work out the resultant vector, we modelled the vectors 150N and 75N as triangle AOB is shown in the second picture with AB as the resultant vector.
We use the cosine rule to work out the length AB




(nearest whole number)
The third picture shows the full diagram of the vectors
To work out the direction of the resultant vector, we use the sin rule to find the size of angle A and angle B
Angle A






(rounded to nearest whole number)
Angle B

Direction is 60° toward negative x-axis
Answer: Magnitude 130N and direction 60° toward negative x-axis
The total amount of water that Kiesha drinks in 12 days is 20 quarts
The average amount of water she drinks per day is 1 2/3 quarts
The number of days that Keshia drinks at least the average amount of water is 6 days
If she drinks 1 quart of day 13, the average reduces.
<h3>What is the average ?</h3>
The total amount of water drank in the 12 days can be determined by adding the quarts for each day together. When they are added together, the number is 20 quarts.
Average = total amount drank / number of days 1 2/3 quarts
New average = 20 + 1 / 13 = 21 / 13 = 1 7/13 quarts
The average reduces because the quart drank on the 13th day is less than the amount of water drank on the other days.
To learn more about the division of fractions, please check: brainly.com/question/25779356
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