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slega [8]
3 years ago
15

2m-6=4m+8 how do i answer this in algebraic proof

Mathematics
1 answer:
Nonamiya [84]3 years ago
3 0

Answer:

m=-7

Step-by-step explanation:

You begin with the equation:

2m-6=4m+8

The first step of this would be to subtract 2m from both sides. This is the subtraction property of equality.

-6=2m+8

The next step would be to subtract 8 from both sides. This is the subtraction property of equality.

-14=2m

Next, divide both sides by 2. This is the division property of equality.

-7=m

The final step would be the symmetric property of equality.

m=-7

Therefore your proof would have the steps:

subtraction property of equality

subtraction property of equality

division property of equality

symmetric property of equality

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Four glasses of milk and 3 snack bars have a total of 93 carbs, and 2 glasses of milk and 4 snack bars have a total of 74 carbs.
Sedbober [7]
Ok... we'll do the same here, elimination

g = carbs in one glass of milk
b = carbs in a snack bar

\bf \begin{array}{llcll}
4g+3b=93&\implies &4g+3b=93\\
2g+4b=74&\boxed{-2}\implies &-4g-8b=-148\\
&&----------\\
&&0-5b=-55
\end{array}
\\\\\\
-5b=-55\implies b=\cfrac{-55}{-5}\implies \boxed{b=11}\\\\
-------------------------------\\\\
\textit{let's plug that in either, hmm the second equation}\\\\
2g+4(11)=74\implies 2g+44=74\implies 2g=74-44
\\\\\\
2g=30\implies g=\cfrac{30}{2}\implies \boxed{g=15}

in this, we can simply multiply by -2 at the bottom to get a -4g, and thus "eliminate" the g-variable
3 0
3 years ago
PLEASE HELP ASAP its in the attachment lol
Advocard [28]

Answer: c. 66

Step-by-step explanation:

Add 76 and 38.

76+38 = 114

Take 180 minus 114

180-114 = 66

8 0
3 years ago
Which could be the length of the third side of a triangle with side lengths 3ft and 9ft? explain
lakkis [162]
The third side can be 12ft
7 0
2 years ago
What does Expression, Unit form and Standard Form mean?
Anna11 [10]

Step-by-step explanation:

Standard form means that a number is less than 10 and in the form 10^x.

Example: 4 x 10^1, 9.67 x 10^2 or 3 x 10^-5

7 0
2 years ago
30 points! Find the four arithmetic means between -17 and 32.
bearhunter [10]

Answer: - 7.2 , 2.6 , 12.4 and 22.2

Step-by-step explanation:

Let the arithmetic means be p , q , r ,s , therefore , the sequence becomes:

-17 , p , q , r , s , 32

The first term (a ) = -17

Last term (L) = 32

common difference (d) = ?

number of terms (n ) = 6

We will use the formula for calculating the last term to find the common difference. That  is

L = a + (n - 1 ) d

Substituting the values , we have

32 = -17 + (6-1) d

32 = -17 + 5d

32 + 17 = 5d

49 = 5d

Therefore: d = 9.8

We can therefore find the values of p , q , r , and s

p is the second term , that is

p = a + d

p = -17 + 9.8

p = -7.2

q = a + 2d

q = - 17 + 19.6

q = 2.6

r = a + 3d

r = - 17 + 29.4

r = 12.4

s = a + 4d

s = - 17 + 39.2

s = 22.2

Therefore : the arithmetic means are : - 7.2 , 2.6 , 12.4 and 22.2

8 0
3 years ago
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