using the digits 0 to 9 at most one time each, fill in the boxes to make an equation where both side have the greatest possible value. x(y+t)=double digit, double digit hint ( it is over 100
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to find the unit price, we must figure out the cost of one item (in this case one dish towel). to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).
$7.92/8 = $0.99
therefore, the unit price, or the price of one dish towel, is $0.99.
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reduce the friction between its moving parts
stepbystep explanation:
in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.
c
stepbystep explanation:
a. we have two
lines: y = 4x and
y = 8x^1
given two simultaneous equations that are both to be
true, then the solution is the points where the lines cross. the intersection is
where the two equations are equal. therefore the solution that works for both
equations is when
4x = 8x^1
this is where the two lines will cross and that is the
common point that satisfies both equations.
b. 4x = 8x^1
x 4x 8x^1
3 7
8.33
2 6 8.5
1 5 9
0 4

1 3
7
2 2
7.5
3 1 7.67
the table shows that none of the x values from 3 to 3 is
the solution because in no case does
4x = 8x^1
to find the solution we need to rearrange the equation to
find for x:
4x = 8x^1
multiply both sides with x:
4xx^2 = 8x1
x^2+4x1=0
x= 4.236, 0.236
therefore there are two points that satisfies the
equation.
find y:
x=4.236
y = 4x = 4 – (4.236)
= 8.236
y = 8x^1 = .236)^1
= 8.236
x=0.236
y = 4x = 4 – (0.236) = 3.764
y = 8x^1 = 8(0.236)^1
= 3.764
thus the two lines cross at 2 points:
(4.236, 8.236) & (0.236, 3.764)
c. to solve
graphically the equation 4x = 8x^1
we would graph both lines: y = 4x and y
= 8x^1
the point on the graph where the lines cross is the
solution to the system of equations.
just graph the points on part b on a cartesian coordinate
system and extend the two lines. the
solution is, as stated, the point where the two lines cross on the graph.
stepbystep explanation:
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