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Minchanka [31]
3 years ago
12

2x-3(2x-3)+2=45 pls solve fully

Mathematics
2 answers:
rosijanka [135]3 years ago
5 0

Answer:

x=\frac{-4}{33}

Step-by-step explanation:

Let's start with simplifying the equation. To do this, let's simplify the parenthesis. We can use the distributive property to simplify the parenthesis. We now have

2x-6x+9+3=45

Next, we can start adding. We can add 2x and 6x, and 9 and 3.

-4x+12=45

Now that we've simplified the equation, we can start solving the equation. First, let's subtract 12 from each side.

-4x=33

The last thing that we need to do is divide -4 from each side.

x=\frac{-4}{33}

ANEK [815]3 years ago
3 0

Answer:x=-17/2

Step-by-step explanation:

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Bill and Joe leave their house at the same time heading in opposite directions. If Bill is driving three times faster than Joe a
Arisa [49]

The problem statement gives you the relationship between their speeds, and it gives you information you can use to find their total speed. You solve this by finding the total speed, then the proportion of that belonging to Bill.

The total speed is (120 mi)/(3 h) = 40 mi/h.

The speed ratio is ...

... Bill : Joe = 3 : 1

so the speed ratio Bill : Total is ...

... 3 : (3+1) = 3:4.

Bill's speed is (3/4)×(40 mi/h) = 30 mi/h.

4 0
4 years ago
Kim solved the equation below by graphing a system of equations. log base 2 (3x-1) = log base 4 (x+8)
kompoz [17]

Answer:

solution is

x=1.353,y=1.613

Step-by-step explanation:

We are given equation as

log_2(3x-1)=log_4(x+8)

Firstly, we will find equations

First equation is

y=log_2(3x-1)

Second equation is

y=log_4(x+8)

now, we can draw graph

and then we can find intersection point

we can see that

intersection point is (1.353,1.613)

so, solution is

x=1.353,y=1.613

8 0
3 years ago
Read 2 more answers
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
the ratio of the number of cookies baked by anna, danny, and liesa was 5:4:2. after anna ate 30 of her own cookies and danny ate
Dmitrij [34]
Cookies because of x, x = 14
7 0
2 years ago
On the playground the teacher observed bicycles and tricycles. she counted 72 wheels and 28 total cycles. How many of them were
Andreyy89

Answer:

  16 tricycles

  12 bicycles

Step-by-step explanation:

If all were bicycles, there would be 28·2 = 56 wheels. Each additional wheel indicates the presence of a tricycle instead of a bicycle.

There are 72 -56 = 16 tricycles. The remaining 28-16 = 12 are bicycles.

3 0
4 years ago
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