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Helen [10]
2 years ago
13

-3x+3y=9 2x−7y=−14 ​

Mathematics
1 answer:
nignag [31]2 years ago
6 0
Step: Solve
−
3
x
+
3
y
=
9
for x:
−
3
x
+
3
y
=
9
−
3
x
+
3
y
+
−
3
y
=
9
+
−
3
y
(Add -3y to both sides)
−
3
x
=
−
3
y
+
9
−
3
x
−
3
=
−
3
y
+
9
−
3
(Divide both sides by -3)
x
=
y
−
3

Step: Substitute
y
−
3
for
x
in
2
x
−
7
y
=
−
14
:
2
x
−
7
y
=
−
14
2
(
y
−
3
)
−
7
y
=
−
14
−
5
y
−
6
=
−
14
(Simplify both sides of the equation)
−
5
y
−
6
+
6
=
−
14
+
6
(Add 6 to both sides)
−
5
y
=
−
8
−
5
y
−
5
=
−
8
−
5
(Divide both sides by -5)
y
=
8
5

Step: Substitute
8
5
for
y
in
x
=
y
−
3
:
x
=
y
−
3
x
=
8
5
−
3
x
=
−
7
5
(Simplify both sides of the equation)

Answer:
X=-7/5 and y= 8/5
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sashaice [31]

Answer:

This situation of the recipe can be represented as y=x+5.5 and it is expected that x is ≥ 0 and y is ≥ 5.5.

What is the equation for this situation?

It is known the total amount of flour (y) is equivalent to the total amount of whole wheat flour (5.5) added to the total white flour (x). Therefore, the equation is:

y = x + 5.5

The possible values are

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Learn more about equation in:

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Step-by-step explanation:

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Molodets [167]
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8 0
3 years ago
A cone has a volume of 108 pi and a base diameter of 12. What is the height of the cone?
serious [3.7K]

Answer:

h  = 9 units of length

Step-by-step explanation:

Volume of a circular right cone is:

V(c)  = (1/3)*Area of the circular base * h

Where h is the height of the cone, then

V(c)  =  (1/3) * π * r² * h

And  we have that  V(c) = 108*π

Then:

108 * π  =  (1/3) * π * r² * h                  (1)

We know diameter of the circular base is 12 units, according to that

r =  d/2     ⇒  r = 12/2     r = 6 units

Then:

108 * π  [ cubic units ]  =  (1/3) * π * (6)² * h  [square units] [ units of length]

When simplifying we have to take into account that in order to keep last equation h needs to have units of length  

Therefore:

108  =  (1/3) * 36 * h

h = ( 108* 3 )/ 36

h  = 9 units of length

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irakobra [83]
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6 0
3 years ago
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bixtya [17]
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-4 is for the y+2=-2
And
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8 0
3 years ago
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