Answer: 416 in^2
Step-by-step explanation:
a. Area of the Triangle x 2 + Area of Rectangle x 3
b. 8 x 7 / 2 x 2 + 8 x 15 x 3 = 56 + 360 = 416 in^2
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.
Answer:

Step-by-step explanation:

Solve the brackets first.

Division comes next.

Cancel the negative signs.

Multiply the terms.


Answer:
No or Less than
Step-by-step explanation:
No. 10*3/4 is not. 3/4 is less than 1, so it is not equal Your answer is less than.
Hope this helps Hit that crown !!!
1 pizza should cost $5.65
Pizza is $5.65 then bottle of coke is $2.45
3 pizzas and coke: ($5.65*3) + $2.45 = $19.4
I solved this by setting up and solving a system of linear equations:
Variables: p = pizza, c = coke
p = c+3.2
3p+c = 19.4
Solve by substitution
3(c+3.2) + c = 19.4
4c+9.6 = 19.4
c = 2.45
Re-plug in:
p = 2.45+3.2
p = 5.65