Answer:
<BAR ≅<CAR
Step-by-step explanation:
Just took the test
Answer:
Since the points X , Y and Z are collinear:
For the diagram, you just have to draw a line and mark the end-points of the line as X and Z and mark the mid-point of the line as Y
Since we are given that XY = YZ,
We will replace with the provided values:
XY = YZ
<em>4(x + 5) = 2(x + 11)</em>
<em>4x + 20 = 2x + 22</em>
<em>2x = 2</em>
x = 1
Since x = 1 and XY = YZ,
We can say that:
XZ = XY + YZ
XZ = XY + XY or XZ = 2XY
Now, replacing the variables for the value of XZ
XZ = 2XY
XZ = 2(4x + 20)
XZ = 2(4 + 20) (Since x = 1)
XZ = 48 units
15% turns into .85
110 x .85 = $93.50
Answer:
Step-by-step explanation:
Starting at 5 on the number line, 5 + (-3) is 3 units to the left of 5; that is, you are at 2 on the number line.
Answer:
(c, m) = (45, 10)
Step-by-step explanation:
A dozen White Chocolate Blizzards generate more income and take less flour than a dozen Mint Breezes, so production of those should clearly be maximized. Making 45 dozen Blizzards does not use all the flour, so the remaining flour can be used to make Breezes.
Maximum Blizzards that can be made: 45 dz. Flour used: 45×5 oz = 225 oz.
The remaining flour is ...
315 oz -225 oz = 90 oz
This is enough for (90 oz)/(9 oz/dz) = 10 dozen Mint Breezes. This is in the required range of 2 to 15 dozen.
Kelly should make 45 dozen White Chocolate Blizzards and 10 dozen Mint Breezes: (c, m) = (45, 10).
__
In the attached graph, we have reversed the applicable inequalities so the feasible region shows up white, instead of shaded with 5 different colors. The objective function is the green line, shown at the point that maximizes income. (c, m) ⇔ (x, y)