Answer:
D: Yes, a reasonable estimate is around 5 · $7 = $35.
Step-by-step explanation:
None
Answer:
350 lightbulbs
Step-by-step explanation:
First find the number of batches made.
20,000 divided by 400 = 50
This means that there are 50 batches in which 7 light bulbs will be selected at random to be inspected.
We can multiply the number of batches to the lightbulbs being inspected.
50 times 7 = 350
Therefore, 350 lightbulbs will be inspected.
Please tell me if I am incorrect :)
Answer: Side QR
Step-by-step explanation: The sum of a triangle internal angles is 180°. So to determine the angles, we calculate x:
5x - 27 +4x - 7 + 3x + 10 = 180
12x = 204
x = 17
With x, solve for the angles:
m∠P = 5(17) - 27 = 58
m∠Q = 4(17) - 7 = 61
m∠R = 3(17) + 10 = 61
The relationship between angles and sides in any triangle:
- the largest angle is opposite the largest side;
- the middle angle is opposite to the middle-sized side;
- the shortest angle and side are opposite to each other;
So, the shortest side of PQR is the side opposite to the shortest angle.
The shortest angle is m∠P = 58°. Therefore, the shortest side is QR
Remark
The easiest way to graph this is to get a program to do it for you. Desmos is ideal.
Problem 7a
The graph is down below the rest of the answer. 5x + 2y = 150
<u>x and y intercepts.</u>
The x intercept is marked as 30. That was derived by letting y = 0 to get
5x = 150 divide by 5
x = 150 / 5
x = 30
So if you buy NO wristbands, you can get 30 keychains
The y intercept occurs when x = 0
2y = 150 Divide by 2
y = 150 / 2
y = 75 That means if you buy NO keychains, you can buy 75 wrist bands.
Problem 7b
For this problem x = 18
5*18 + 2y = 150
90 + 2y = 150 Subtract 90 from both sides.
2y = 150 - 90
2y = 60 Divide by 2
y = 60/2
y = 30
Conclusion
You can buy 18 key chains (given)
You can buy 30 wristbands (calculated)
