The sales-tax rate was 8%.Benito bought a model train for $8.29. How much was the tax on the train?

I need help finding x please?

enot [183]

$\large\mathfrak{{\pmb{\underline{\blue{To\:find}}{\blue{:}}}}}$

The value of $x$ .

$\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}$

$\longrightarrow{\green{x\:=\: 25° }}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

We know that,

$\sf\purple{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}$

➪ 125° + $x$ + 30° = 180°

➪ $x$ + 155° = 180°

➪ $x$ = 180° - 155°

➪ $x$ = 25°

Therefore, the value of $x$ is 25°.

Now, the three angles of the triangle are 125°, 25° and 30°.

$\large\mathfrak{{\pmb{\underline{\pink{To\:verify}}{\pink{:}}}}}$

✒ 125° + 25° + 30° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

$\boxed{Hence\:verified.}$

$\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}$

3 0

2 years ago

Read 2 more answers

Evaluate 5+\left(-3\right)-65+(−3)−65, plus, left parenthesis, minus, 3, right parenthesis, minus, 6.

Serga [27]

The question is not well-expressed, but it looks like you want to evaluate

5 + (-3) - 65 + (-3) - 65 + (-3) - 6

Answer:

-140

Step-by-step explanation:

First of all, note the following

- Multiplying a negative number by another negative number gives a positive number.

- Multiplying a negative number by a positive number gives a negative number.

- Multiplying a positive number by a positive number gives a positive number.

- Brackets mean multiplication.

So

5 + (-3) - 65 + (-3) - 65 + (-3) - 6

= 5 - 3 - 65 - 3 - 65 - 3 - 6

= -140

7 0

2 years ago

The ratio of fiction to nonfiction books in a classroom library is 2 to 3 . If there are 24 books nonfiction books in the classr

worty [1.4K]

Answer:

Step-by-step explanation:

Given the ratio of fiction to nonfiction books in a classroom library is 2 to 3, then the total ratio of both books will be 2+3 = 5. If there are 24 books non fiction books in the library, to get the amount of fictionbooks that are there we will follow the following steps.

First we will calculate the total number of books in the shelf;

3/5 * Total number of books = total non fiction books

3/5 * Total number of books = 24

3*Total number of books = 5*24

3*Total number of books = 120

Total number of books = 120/3

Total number of books = 40

Therefore there are 40 total of books on the shelf.

Total number of fiction books = 2/5 * 40

Total number of fiction books = 2* 8

Total number of fiction books = 16 books

<em>Hence there are 16 fiction books on the shelf.</em>

3 0

2 years ago

All of the following are irrational except _____.

a_sh-v [17]

The number that is not irrational is $1.\overline{45}$ . The correct option is the second option $1.\overline{45}$

<h3>Irrational numbers </h3>

From the question, we are to determine which of the given options is not irrational

Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q, where p and q are integers.

$1.\overline{45}$ is a repeating decimal and it can be expressed as a fraction

$1.\overline{45} = \frac{144}{99}$

∴ $1.\overline{45}$ is not an irrational number. It is a rational number

The other options cannot the expressed as a fraction.

Hence, the number that is not irrational is $1.\overline{45}$ . The correct option is the second option $1.\overline{45}$

Learn more on Irrational numbers here: brainly.com/question/11919233

#SPJ1

5 0

1 year ago

What is the solution to |x – 5| + 2 < 20?

stepladder [879]

Answer:

Step-by-step explanation:

hello :

|x – 5| + 2 < 20 means : |x – 5| + 2-2 < 20-2

|x – 5| < 18

-18< x - 5 < 18

-18+5< x - 5+5 < 18+5

-13< x< 23 ( solutions)

3 0

1 year ago