Answer:
440 cm ²
Step-by-step explanation:
216 cm² +24 cm²= 440 cm²
Answer:
- It is the last graph: solid line, shaded area over the line x = 2 - x/2
Explanation:
1) <u>Set the algebraigic expression that represents the combinations of sofa and pillow orders:</u>
- Number of sofas: x (given)
- Number of pillows: 2y (given, since they come in pairs)
- Number of items = number of sofas + number of pillows = x + 2y
- Minimum of 4 items in each order (given) ⇒ x + 2y ≥ 4
<u>2) Predict the graph of the inequality x + 2y ≥ 4</u>
- The border line is the equation x + 2y = 4
- You can choose two points to draw a line
- Choose the axis-intercepst:
x = 0 ⇒ 2y = 4 ⇒ y =4/2 ⇒ y = 2 ⇒ point (0,2)
y = 0 ⇒ x = 4 ⇒ point (4,0)
Then the lines goes through (0,2) and (4,0) ... [the four graphs meet this]
- The shading area is above the line because when you solve for y you get y ≥ 2 - x/2, and the line is included because the "equal to" part of the symbol (≥ means greater than or equal to).
- To state that the line is included the graph uses a continous line instead of a dotted one.
<u>3) Conclusion:</u>
That means that the correct graph is the last one: solid line, shaded area over the line y = 2 - x/2.
Note: a more detailed graph would include the fact that the items cannot be negative, i.e. x ≥ 0 and y ≥ 0, which would result in that the shaded area would be on the first quadrant.
0.75x + 0.5y = 25.....and she doesn't want any licorice....so x = 0
0.75(0) + 0.5y = 25
0.5y = 25
y = 25/0.5
y = 50....she can get 50 cherry candies
Answer: C
Step-by-step explanation: I hope this helps :)
Answer:
C. 210 miles.
Step-by-step explanation:
If Car 1 left 30 minutes earlier
than Car 2 therefore Car 2 traveled 3 hours
compared to Car 1's 3.5 hours
Car 1 traveled 3.5 x 42 mph = 147 miles
Car 2 travelled 3 x 50 mph = 150 miles
The distance between them would be
√147^2 + 150^2
= 210
