Answer:
=0.000342
Standard form is 3.4237×10
Step-by-step explanation:
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Answer:
Step-by-step explanation:
4x − y = −11
2x + 3y = 5
lets multiply the second equation by -2 and add it to the first:
4x − y = −11
-4x - 6y = -10
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0 - 7y = -21
y = -21/-7
y = 3
now we substitute this result in the first equation to find x:
4x − y = −11
4x - 3 = -11
4x = -8
x = -8/4
x = 2
so the solution is y = 3 and x =2
4x − 9y = −21
−10y = −30
we solve for y
−10y = −30
y = -30/-10
y = 3
and substitute in the first equation:
4x − 9y = −21
4x − 9(3) = −21
4x - 27 = -21
4x = 6
x = 6/4 = 3/2
so the solution is x = 3/2 and y = 3
4x + 3y = 5
2y = −6
we solve for y:
2y = −6
y = -6/2
y = -3
we do substitute in the first equation:
4x + 3y = 5
4x + 3(-3) = 5
4x - 9 = 5
4x = 14
x = 14/4
x = 7/2
so the solution is x = 7/2 and y = -3
7x − 3y = −11
9x = −6
we solve for x:
9x = −6
x = -6/9
x = -2/3
then we substitute in the first equation the result found:
7x − 3y = −11
7(-2/3) − 3y = −11
-14/3 - 3y = -11
we multiply by 3 to eliminate fractions:
-14 - 9y = -33
9y = 19
y = 19/9
so the solution is x = -2/3 and y = 19/9
12x − 3y = −33
14x = −28
we solve for x:
14x = −28
x = -28/14
x = -2
then we substitute in the first equation:
12x − 3y = −33
12(-2) − 3y = −33
-24 - 3y = -33
3y = 9
y = 3
then the solution is x = -2 and y = 3
10=0.25x+3
10-3=0.25x
7=0.25x
7/0.25=0.25x/0.25
28=x
Maximum number of games that can be played is 28.
<h3>
Answer: 14 square inches</h3>
Explanation:
There are 4 lateral faces for each of the three blocks. So that is 4*3 = 12 faces so far. Then there is the top and bottom face of the top and bottom block respectively. This brings the total up to 12+2 = 14 external faces.
Alternatively, we can note how 1 cube has 6 faces. So 3 cubes have 3*6 = 18 faces. However, 4 faces are hidden or they are not external faces when we combine the blocks as the diagram shows. So we have 18-4 = 14 external faces.
No matter which method you use, there are 14 external faces. Each face is 1*1 = 1 square inch, so the total surface area is 14*1 = 14 square inches.
