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REY [17]
3 years ago
8

Complete the missing value in the solution to the equation.

Mathematics
1 answer:
snow_lady [41]3 years ago
3 0

Answer:

y = − 1

Hope this helps!

Step-by-step explanation:

Alright so this is our equation:

y − 3   =   2 ( x − 1 )

We will substitute:

x = − 1

So now our equation looks like this:

y − 3   =   2 ( −1 − 1 )

Now we will get rid of the parentheses:

y − 3    =   − 2 − 2

Solve the left side:

y − 3   =   − 4

Now add 3 on both sides to find out what y is:

y − 3   =   − 4

  +3         +3

Add:

y = − 1

Yay! We found our answer! Nice job everyone!

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Janet has $120. If she saves$20 per week, in how many days will she have $500?
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She will have $500 in 5 days because when she takes out the 20 every week she will have had $100 so to make $500 she will have to have made 5 $100
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3 years ago
At a gas station, it takes 14 seconds to pump 2 gallons of gas. if the amount of gasoline pumped varies directly with time, how
EleoNora [17]

Answer:

See below:

Step-by-step explanation:

If we do this, we know that 2 gallons takes 14 seconds. (2:14)

Based on that data, we can know that 1 gallon takes 7 seconds. (1:7)

-> 2/14 = 1/7

Now we can multiply by 12 to get 12 gallons on one side.

What we do on one side has to happen to the other side.

So, 12 gallons * 1 gallons = 12 gallons and 12 gallons * 7 gallons = 84 gallons.

So the final answer is 85 gallons,

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The equation y=7.6x represents a proportional relationship. What is the constant of proportionality?
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a carpenter has been asked to build an open box with a sqaure base. the sides of the box will cost $3 per m^2 and the base will
slamgirl [31]
<h2>Dimension of box is 2 m x 2 m x 1.33 m</h2>

Step-by-step explanation:

Let a be base side and h be the height.

Volume of box, V = a²h

The sides of the box will cost $3 per m² and the base will cost $4 per m². Cost for making is $48.

That is

                 4a² + 3 x 4 x a x h = 48

                 4a² + 12 a x h = 48

                 a² + 3 ah = 12  

                 h=\frac{12-a^2}{3a}

So volume is

                    V=a^2\times \frac{12-a^2}{3a}=4a-\frac{a^3}{3}

At maximum volume we have derivative is zero,

                    dV=4da-3\times \frac{a^2}{3}da\\\\0=4-a^2\\\\a=\pm 2

Negative side is not possible, hence side of square base is 2m.

Substituting in  a² + 3 ah = 12  

                           2² + 3 x  2 x h = 12  

                             h = 1.33 m

Dimension of box is 2 m x 2 m x 1.33 m

5 0
3 years ago
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