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4 years ago

If 10 + 5x is 12 more 8, what is the value of 3x?

Mathematics

2 answers:

Aleks [24]4 years ago

8 0

Answer:

Step-by-step explanation:

If 10 + 5x is 12 more than 8, what is the value of 3x? We can represent this with the equation below.

10+5x = 12+8.

Simplifying this gives us 10+5x = 20, then 5x = 10, then x = 2.

If x = 2, then 3x = 6.

vredina [299]4 years ago

5 0

Answer:

3x=6

Step-by-step explanation:

10 + 5x =8+12

10 +5x = 20

Subtract 10 from each side

10-10+5x=20-10

5x= 10

Divide by 5

5x/5 = 10/5

x = 2

We want 3x

3(2) = 6

3x=6

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100 points and brainliest. Put nonesense and get reported. What is wrong with the equation below, make sure to explain

Korolek [52]

Answer: 1 3/4(8)= 14

Step-by-step explanation:

That is the correct answer

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2 years ago

34.7% of city employees ride the bus to work. Last year, 5.2% of city employees rode the bus to work. What is the relative chang

DaniilM [7]

Answer:

$5.67\%$

Step-by-step explanation:

The relative change is defined by the following equation:

$Relative\hspace{3}change=\frac{x-x_r_e_f_e_r_e_n_c_e}{x_r_e_f_e_r_e_n_c_e}$ (1)

Where:

$x=Value\hspace{3}of\hspace{3}indicator\hspace{3}in\hspace{3}period\hspace{3}2$

$x_r_e_f_e_r_e_n_c_e=Value\hspace{3}of\hspace{3}indicator\hspace{3}in\hspace{3}period\hspace{3}1$

With this in mind, let's replace the values in the equation (1):

$Relative\hspace{3}change=\frac{34.7-5.2}{5.2}=\frac{29.5}{5.2}=5.673076923\approx5.67\%$

4 0

3 years ago

Describe how (2^3)(2^-4) can be simplifed

yanalaym [24]

Answer:

$2^3\times2^{-4}=\frac{1}{2}$

Step-by-step explanation:

The given expression is

$(2^3)(2^{-4})$

This is the same as;

$2^3\times2^{-4}$

Recall that;

$a^m\times a^n=a^{m+n}$

This implies that;

$2^3\times2^{-4}=2^{3+-4}$

$2^3\times2^{-4}=2^{-1}$

We now use the following law of exponents

$a^{-m}=\frac{1}{a^m}$

This gives us;

$2^3\times2^{-4}=\frac{1}{2}$

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3 years ago

A bag has 4 red balls and 4 balls, what is the probability of getting a red ball randomly.

Mkey [24]

Answer:

1/2

Step-by-step explanation:

4/8 are red. If you simplify that you get 1/2.

8 0

3 years ago

I think I have the correct answers but will anyone try to solve these questions so I can see if we got the same answer.

Andre45 [30]

Because you seem to have an understanding of the material, I will write my math, but no explanations for my work. Comment on this answer for an explanation, or if I did something wrong.

1. Find the length of the South side of the field.

$(5x+2)+(x^2-9)+(x^2-7x+12)\\5x+2+x^2-9+x^2-7x+12\\2x^2+5x+2-9-7x+12\\2x^2-2x+2-9+12\\2x^2-2x+5$

2.Find the perimeter of the pumpkin field.

$2(5x+2)+2(5x-2)\\(5x+2)+(5x+2)+(5x-2)+(5x-2)\\20x+4-4\\20x$

3. Find the perimeter of the whole field.

$2(4x+5x-2)+2(5x+2+x^2-9+x^2-7x+12)\\2(9x-2)+2(2x^2-2x-5)\\18x-4+4x^2-4x+10\\4x^2+14x+6$

4. If $x=30ft$ , what is the total perimeter?

$P=4x^2+14x+6\\P=4(30)^2+14(30)+6\\P=4(900)+420+6\\P=1026ft$

Random Tangent:

If you want to involve $y$ in finding these answers for whatever reason, your math is going to get messy. Here's what I tried before I realized you could multiply each side by $2$ to get the total perimeter:

$xy+1+x+6=4x+5x-2\\xy-8x=-9\\x(y-8)=-9\\y-8=-\frac{9}{x}\\y=-\frac{9}{x}+8$

Now the other side. This one's even worse.

$xy-1+6x+x=5x+2+x^2-9+x^2-7x+12\\xy+9x-2x^2=5\\x(y+9+2x)=5\\2x+9+y=\frac{5}{x}\\y=\frac{5}{x}-2x-9$

At this point, was realizing I wasn't going about the problem correctly, but did one last try by setting $y=y$ . At this point in the equation, I simply had to stop, both due to complexity and technological problems.

$\frac{5}{x}-2x-9=-\frac{9}{x}+8\\\frac{14}{x}=2x+17\\ 14=2x^2+17x\\0=2x^2+17x-13\\$

I could possibly continue to solve, but I don't see a point. It was clear that this was NOT the right path to take finding the perimeter. It was here I realized that I could just multiply the two sides without $y$ in them by $2$ and--without as much difficulty--reach the correct answer.

6 0

3 years ago