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frutty [35]
4 years ago
12

How to solve this equation showing step by step. 3(t - 1) = 9 + t

Mathematics
2 answers:
aleksklad [387]4 years ago
7 0
1st: Expand the bracket
3t-3=9+t
2nd: Add the 3 to get rid of it on the first side. Do this to both sides
3t=12+t
3rd: Take away the t on the left hand side and one on the right hand side to just be left with t's on one side and integers on the other side
2t=12
4th: Divide both sides by 2 to find 1t
t=6

Hope this helps!! :)

Elodia [21]4 years ago
7 0
3(t-1)=9+t
3t-3=9+t
3t-t=3+9
2t=12 (divide both sides by 2)
t=6
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Given the equation Y -3 equals 1/2 (X +6 )in point slope form identify the equation of the same line in standard form
liberstina [14]

The standard form of a line:

Ax+By=C

We have the equation of a line in the slope-point form:

y-3=\dfrac{1}{2}(x+6)      use distributive property

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Solve this system of equations. <br><br> 12x − 18y = 27 <br> 4x − 6y = 10
Marrrta [24]

Answer:

no solution

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12x − 18y = 27  

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-3(4x − 6y) = 10*-3

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Add the first equation to this new equation

12x − 18y = 27

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Match the real-world problem to its constant of proportionality.
BabaBlast [244]

Answer:

a. $18.36 for 3 pizzas  :   k  = 6.12

b. $4.17 for 3 pounds of bananas .   k  = 1.39

c. $16.48 for 4 pounds of potatoes .  k  = 4.12

d. 2 cups of flour to make 24 cookie .  k  = 2

Step-by-step explanation:

<u>PROPORTIONALITY:</u>

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k i s called the PROPORTIONALITY CONSTANT.

⇒  x \propto y \implies  k = \frac{x}{y}

Now, for the given quantities:

a.  $18.36 for 3 pizzas [box]    

Here,k =  \frac{18.36}{3} = 6.12

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here,k =  \frac{4.17}{3} = 1.39

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here,k =  \frac{16.48}{4} = 4.12

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here,k =  \frac{24}{2} = 12

So, the proportionality constant is 12

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4 years ago
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