Answer:
r > -12
Step-by-step explanation:
Subtracting 5 from both sides of this inequality yields
r / -6 < 2
Multiplying both sides by -6 requires changing the direction of the inequality sign:
r > -12 This is the "solution set."
Answer:
2304 pens
Step-by-step explanation:
well 16 box with 144 pens in each just multiply to get 2304 pens that he stacked
Answer:
x=2
y=3
Step-by-step explanation:
y=−2x+7
y=5x−7
Set the two equations equal since they are both equal to y
−2x+7
=5x−7
Add 2x to each side
-2x+7+2x = 5x-7+2x
7 = 7x-7
Add 7 to each side
7+7 = 7x-7+7
14 =7x
Divide by 7
14/7 = 7x/7
2 =x
Now find 7
y = 5x-7
y = 5(2) -7
y = 10-7
y = 3
First, calculate for the volume of the cube before each edges are cut.
V = e³
where e is the length of each sides. Substituting the known value,
V = (4/5 cm)³ = 0.512 cm³
Then, calculate for the volume of each of the small cubes cut out from the corners.
V = (1/5 cm)³ = 0.008 cm³
Since there are 8 of these small cube, we multiply the volume by 8.
8V = 8(0.008 cm³) = 0.064 cm³
Then, subtracting the volumes will give us an answer of <em>0.448 cm³</em>
Answer:
13 =x
z =88
Step-by-step explanation:
7x+1 is a vertical angle to 9x -25
That means they are equal
7x+1 = 9x-25
Subtract 7x from each side
7x-7x+1 = 9x-7x-25
1 = 2x-25
Add 25 to each side
1+25 =2x-25+25
26 = 2x
Divide by 2
26/2 = 2x/2
13 =x
7x+1 and z are supplementary angles, which means they add to 180
7x+1 +z = 180
We know x
7(13) +1 +z = 180
91 +1 +z = 180
92 +z = 180
Subtract 92 from each side
92-92 +z = 180-92
z =88
