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2 answers:
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A) 2x -3(3x -7) = 7 . . . . substitute for y
.. -7x = -14 . . . . . . . . . . . subtract 21
.. x = 2 . . . . . . . . . . . . . divide by -7
.. y = 3*2 -7 = -1 . . . . . . substitute for x
(x, y) = (2, -1)
B) 5(5x -2y) -2(3x -5y) = 5(8) -2(1) . . . . subtract 2 times 2nd equation from 5 times 1st
.. 19x = 38 . . . . simplify
.. x = 2 . . . . . . . divide by 19
.. y = (5x -8)/2 = 1 . . . . solve 1st equation for y, substitute x
(x, y) = (2, 1)
C) See the first graph.
(x, y) = (-4, 1)
D) See the second graph.
(x, y) = (3, 2)
.. -7x = -14 . . . . . . . . . . . subtract 21
.. x = 2 . . . . . . . . . . . . . divide by -7
.. y = 3*2 -7 = -1 . . . . . . substitute for x
(x, y) = (2, -1)
B) 5(5x -2y) -2(3x -5y) = 5(8) -2(1) . . . . subtract 2 times 2nd equation from 5 times 1st
.. 19x = 38 . . . . simplify
.. x = 2 . . . . . . . divide by 19
.. y = (5x -8)/2 = 1 . . . . solve 1st equation for y, substitute x
(x, y) = (2, 1)
C) See the first graph.
(x, y) = (-4, 1)
D) See the second graph.
(x, y) = (3, 2)
Answer:
There are 30 ounce of green paint 18 ounces blue paint was needed.
Step-by-step explanation:
Given that,
In order to make green paint a 2:3 ratio of blue paint and yellow paint is used.
Assume 2x blue paint and 3x yellow paint required to make 30 ounce of green paint.
According to the problem,
2x+3x=30
⇒5x=30
⇒ x=6
The amount of blue paint is = 2×6
=12 ounces
The amount yellow paint is = (3×6)
= 18 ounces
There are 30 ounce of green paint 18 ounces blue paint was needed.
The picture in the attached figure
we know that
the figure is a parallelogram
the area of parallelogram=base*height
in this problem
base=34 in
height=35 in
so
area=34*35----> area=1190 in²
the answer is
<span>A. 1,190 in^2</span>
we know that
the figure is a parallelogram
the area of parallelogram=base*height
in this problem
base=34 in
height=35 in
so
area=34*35----> area=1190 in²
the answer is
<span>A. 1,190 in^2</span>