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3 years ago

How do you work this out ? And what’s the answer

Mathematics

2 answers:

lbvjy [14]3 years ago

4 0

Answer:

all real numbers

Step-by-step explanation:

2x+8=2(x+4)

First you need to distribute the numbers inside the parenthesis:

2(x+4)

=2*x+2*4

=2x+8

Next, look at the new, simplified equation

2x+8=2x+8

Since both sides are equal the solution is all real numbers

All real numbers means that x can be any number

Crank3 years ago

3 0

Hi there! :)

<u>Infinite solutions.</u>

2x + 8 = 2(x + 4)

Distribute the 2 with the terms inside of the parenthesis:

2x + 8 = 2(x) + 2(4)

Simplify:

2x + 8 = 2x + 8

Subtract 2x from both sides:

2x - 2x + 8 = 2x - 2x + 8

0 + 8 = 8

Subtract 8 from both sides:

0 + 8 - 8 = 8 - 8

0 = 0

Therefore, there are infinite solutions.

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A large container holds 5 gallons of water. It begins leaking at a constant rate. After 10 minutes, the container has 3 gallons

valentinak56 [21]

Answer would have to be too the gallon of water would have to be2

8 0

3 years ago

What is 7\15 - 4\9 in fractions

Alex17521 [72]

Answer:

its 7/9

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

3.1 Find the equation of the line passing through (4, 5) and parallel to the line 3x – 2y = 4.

valentinak56 [21]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

<em>Find the equation of the line passing through (4, 5) and parallel to </em>

<em />

<em> </em> $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

$\rightarrow$ First, add 2y on both sides:-

$\Large\textsf{3x+2y=4}$

$\rightarrow$ Now, subtract 3x on both sides:-

$\Large\textsf{2y=-3x+4}$

$\rightarrow$ Divide by 2 on both sides

$\Large\text{$y=-\displaystyle\frac{3}{2}x +2$}$

$\rule{300}{3}$

Now, let's find the equation of the line that's parallel to the given line.

Remember, if lines are parallel to each other, then their slope's the same.

So the slope of the line that's parallel to the line whose equation we just found, is

$\Large\text{$-\displaystyle\frac{3}{2}$}$

Now let's write the equation in point-slope form:-

$\hookrightarrow\sf{y-y_1=m(x-x_1)}$

Replace numbers with letters, as follows:-

$\sf{y-5=-\displaystyle\frac{3}{2} (x-4)}$

The equation above is the equation in point-slope form.

Incase you need it converted to slope intercept form, refer to the steps below ~

Multiply -3/2 times x and -4:-

$\hookrightarrow\sf{y-5=-\displaystyle\frac{3}{2} x-6}$

Now, Add 5 on both sides:-

$\hookrightarrow\sf{y=\displaystyle\frac{3}{2} x+1}$

$\Uparrow\sf{Our\:equation\:in\:slope\;intercept\;form}$

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

$\rule{300}{1}$

4 0

2 years ago

If Lebron can run 12 laps in 2 hours, approximately how long will it take him to run 60 laps?

ddd [48]

Answer:

10 hours

Step-by-step explanation:

Let's set up a proportion using the following setup.

hours/laps=hours/laps

We know that it takes him 2 hours to run 12 laps. We don't know how long it will take him to run 60 laps, so we can say it takes x hours to run 60 laps.

2 hours/12 laps=x hours/60 laps

2/12=x/60

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being divided by 60. The opposite of division is multiplication, so multiply both sides by 60.

60*2/12=x/60*60

60*2/12=x

10=x

It will take Lebron 10 hours to run 60 laps.

3 0

3 years ago

Task:

Elan Coil [88]

Answer:

318 days or 10.6 months,

No, because the time between august and december is 8 months and it would take 10 to complete the tunnel

Step-by-step explanation:

start by determining the slope:

subtract the remaining distance from the total distance to determine distance so far, then divide by time.

m = (3200 - 1700)/5

m = 1500/5

m = 300

y = mx + b

Plug in to solve for x.

3200 = 300x + 0

3200 = 300x

divide y by m. This is x. (this is known as inverse operation if you didnt know already.)

3200 = 300(10.6_)

8 0

3 years ago