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)
Answer:
3/8
Step-by-step explanation:
It just is
Both insurance companies will make you pay $2700 per year
Answer:C
Step-by-step explanation:
The height of the fire department is 244.72 m
Step-by-step explanation:
A)
Angle of elevation = 73°
The distance between the two buildings = 46 m
tan 73° = b/46
tan 73° = 3.27
tan 73° = b/46
3.27 = b/46
b = 3.27 x 46
b = 150.42 m
B)
Angel of depression= 64°
The distance between the two buildings = 46 m
tan 64° = a/46
tan 64° = 2.05
tan 64° a/46
2.05 = a/46
a = 2.05 x 46
a = 94.3 m
The total height of the fire department building = a + b
= 94.3 + 150.42
= 244.72 m
The height of the fire department is 244.72 m