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2 years ago

Tim has read 10% of a book. He has 45 more pages to finish. How many pages are there in the book?

1 answer:

6 0

if Tim has read 10% of the book, that means he still hasn't read 90% of it yet, and we know that that 90% is 45 pages, so say the book has a total amount of pages of "x", which is 100%.

$\begin{array}{ccll} pages&\%\\ \cline{1-2} 45&90\\ x&100 \end{array}\implies \cfrac{45}{x}=\cfrac{90}{100}\implies \cfrac{45}{x}=\cfrac{9}{10} \\\\\\ 450=9x\implies \cfrac{450}{9}=x\implies 50=x$

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Please show me how you got the answer. Will give brainliest.

umka21 [38]

Answer: 410 possible points

To solve for the possible points in the course, use a proportion and cross multiply.

<h2>What is a proportion?</h2>

A proportion is two fractions that are equal to each other. For the fractions to be equal, they are proportionate. In our math problem, percentage is proportionate the the number of points.

The fractions represent information you have, and one variable will represent what you are solving for.

<h2 /><h3>Given</h3>

Your points = 361

Points to get an 'A' = your points + 8

'A' = 90% of possible points

<h3>Find the points needed for an 'A' at 90%</h3>

Points to get an 'A' = your points + 8

= 361 + 8

= 369

<h3>State variables</h3>

let <em>x</em> be the amount of possible points

<h3 /><h3>Write a proportion</h3>

We know the number of points for 90% is 369 points. Remember that 90% is the same as 90/100.

Keep the information with the same units inside the same fraction. Here, percentage is represented by the first fraction. Points is represented by the second fraction.

$\displaystyle{\frac{90}{100}=\frac{369}{x}}$

<h3>Solve</h3>

We can solve using cross multiplication. This is when we multiply each numerator by the denominator from the other fraction.

$90x = 369*100$ Simplify by multiplying.

$90x = 36,900$ Isolate the variable <em>x</em>.

$\displaystyle{\frac{90x}{90} = \frac{36,900}{90}}$ Divide both sides by 90 to cancel out 90 on the left.

$\displaystyle{x = \frac{36,900}{90}}$ Divide.

$x = 410$ Solved for <em>x</em>, representing the possible points.

∴ The possible points in the art course is 410.

Learn more about finding a missing number given percentage here: brainly.com/question/26535441

4 0

1 year ago

What is the solution to this equation 5x = 35

S_A_V [24]

The solution to 5x=35 is..
X=7
5x\5=35/5

8 0

3 years ago

Read 2 more answers

The 13th term of a geometric sequence is 16, 384 and the first term is 4. What is the common ratio?

AleksAgata [21]

Answer:

$\large \boxed{2}$

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

In your geometric sequence, a₁ = 4 and a₁₃ = 16 384.

$\begin{array}{rcl}16384 & = & 4r^{(13 - 1)}}\\16384 & = & 4r^{12}\\4096 & = & r^{12}\\3.6124 & = & 12 \log r\\0.30102 & = & \log r\\r & = & 10^{0.30102}\\ & = & \mathbf{2}\\\end{array}\\\text{The common ratio is $\large \boxed{\mathbf{2}}$}$

Check:

$\begin{array}{rcl}16384 & = & 4(2)^{12}\\16384 & = & 4(4096)\\16384 & = & 16384\\\end{array}$

It checks.

7 0

3 years ago

What is the Slope of the line

vampirchik [111]

Answer:

$m=\frac{-3}{4}$

Step-by-step explanation:

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Simply plug in 2 coordinates into the slope formula to find slope <em>m</em>:

$m=\frac{-4-(-1)}{5-1}$

$m=\frac{-4+1}{4}$

$m=\frac{-3}{4}$

5 0

3 years ago

The question is in a screenshot please help ty

ICE Princess25 [194]

Your answer will most likely be D. h > 42 and h must be a positive number. Reasoning: H has to be greater than 42 to ride the ride, and it cannot be a negative number because H has to be greater than 42 and if you make it negative, it will be less than 42

5 0

3 years ago

Tim has read ​10% of a book. He has 45 more pages to finish. How many pages are there in the​ book?

Tim has read 10% of a book. He has 45 more pages to finish. How many pages are there in the book?