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2 years ago

3(4x+3)-2=12x+7 explain please

Mathematics

1 answer:

STALIN [3.7K]2 years ago

5 0

Answer:0=0

Step-by-step explanation:

1. Distribute

3(4+3)−2=12+7

12+9−2=12+7

2.Subtract the numbers

12+9−2=12+7

12+7=12+7

3.Subtract 7 from both sides of the equation

12+7=12+7

12+7−7=12+7−7

4.Simplify

-Subtract the number

12+7−7=12+7−7

12=12+7−7

12=12

5.Subtract 12x from both sides of the equation

12=12

12−12=12−12

6.Simplify

-Combine like terms

12−12=12−12

0=12−12

This took forever TvT

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Can someone help me with these problems step by step? It’s pre-algebra so it’s not rlly that hard.

gtnhenbr [62]

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3 years ago

WILL mark brainliest!

Angelina_Jolie [31]

Answer:

110.5348 minutes

Step-by-step explanation:

The difference from room temperature changes from 103 to 59 in 46 minutes, so that difference can be modeled by the exponential equation ...

Δt = 103×(59/103)^(t/46)

We want to find t for the temperature difference Δt = 91 -64 = 27.

27 = 103×(59/103)^(t/46)

27/103 = (59/103)^(t/46) . . . . . divide by 103

Taking logs gives the linear equation ...

log(27/103) = (t/46)log(59/103)

Multiplying by the inverse of the coefficient of t, we get ...

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It will take about 110.5347 minutes for the turkey to cool to 91 °F internally.

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Comment on 4 decimal places

An answer correct to 4 decimal places (7 significant digits) is a pretty good indication that the problem was worked correctly. However, that level of precision in the timing makes little sense in this context. Most thermometers will take at least a few seconds to register the temperature to within a tenth of a degree or so. This problem is asking for an answer that is within 6 milliseconds and 30 micro-degrees. Neither of these is anywhere near realistic for a kitchen meat thermometer.

More realistic would be an answer to 4 significant figures, a tenth of a minute and a few hundredths of a degree.

(The rate of change at the time of interest is about -0.33 degrees per minute.)

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3 years ago

Find the area: (I will give brainliest) +50 points.

scZoUnD [109]

Answer:

$A_{total} = 16\ cm^2$

Step-by-step explanation:

Step 1: Determine the area of the top rectangle

We can tell that the total shape seems like two rectangles glued together. We can separate the top rectangle and determine the area of it and then determine the area of the bottom rectangle and combine them. Lets first solve the left rectangle.

$A=l*w$

$A_{top\ rectangle}=6\ cm * 2\ cm$

$A_{top\ rectangle}=12\ cm^2$

Step 2: Determine the area of the bottom rectangle

$A=l*w$

$A_{bottom\ rectangle}=2\ cm * 2\ cm$

$A_{bottom\ rectangle}=4\ cm^2$

Step 3: Determine the total area

$A_{total}=A_{top\ rectangle}+A_{bottom\ rectangle}$

$A_{total}=12\ cm^2+4\ cm^2$

$A_{total} = 16\ cm^2$

Answer: $A_{total} = 16\ cm^2$

8 0

2 years ago

Read 2 more answers

Video streaming company A charges a one-time $40 membership fee and $2 per video stream. Video streaming company B charges a one

Pie

Let's begin ! ^_^

You have got informations in your problem that you just have to translate in a "mathematic language".

Company A :
"$40 membership fee and $2 per video stream."

Thanks to that, you can guess :
c = 40 + 2s

Now let's do the same thing to the company B.

Company B :
"charges a one-time $20 membership fee and $4 per video stream."

Therefore, c = 20 + 4s.

I think you have guessed !! =D And yes the system of equation that you have to solve and you're looking for is :

{c=40+2s ( Option B)
c=20+4s.

Second step : For how many video streams will the cost be the same for both companies?

We just have to solve the system :) And there is only one variable, the letter "s".

We know that we have to find equal costs as it is said in the question " the cost be the same for both companies", so :

=> 40 + 2s = 20 +4s
=> 4s - 2s = 40 - 20
=> 2s = 20
=> s = 20/2
=> s = 10

Verification :

Company A :
=> 40 + 2s = 40 + 2*10 = 40 + 20 =60.

Company B :

=> 20 + 4s = 20 + 4*10 = 20 + 40 = 60

As you have seen, the costs are the same for both companies.

We can say that as a conclusion for 10 video streams, the cost will be the same for both companies.

In short, the answer would be : 10.

Let me give you an advice : Usually the word "per" means a multiplication is the mathematic language.

Hope this helps !

Photon

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3 years ago