john read the first 114 pages of a novel which is 3 pages less than 1/3 of the novel. write the equation

Mathematics

1 answer:

tatyana61 [14]3 years ago

8 0

The equation is:

$114=\frac{p}{3}-3$

And

Total number of pages are 351

Step-by-step explanation:

The equation has to be formed by using the given information.

Let p be the total number of pages in the novel

Then

1/3rd of the p will pe:

$\frac{p}{3}$

Total pages read by John = 114

Then according to the statement

$114=\frac{p}{3}-3$

We can solve the equation to get the total pages of the novel

$114=\frac{p}{3}-3\\Adding\ 3\ on\ both\ sides\\114+3=\frac{p}{3}-3+3\\117=\frac{p}{3}\\Multiplying\ both\ sides\ by\ 3\\3*117 = \frac{p}{3}*3\\p=351$

The equation is:

$114=\frac{p}{3}-3$

And

Total number of pages are 351

Keywords: Linear equation, variable

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#LearnwithBrainly

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What is the height of the tree in the image below? 10 points Wall 4 6 ft 24 O I foot O 36 foot None of the above

Zinaida [17]

16 ft

Explanation

Step 1

because the ligth comes in the same angle, we have 2 similar triangles .

so,as the triangles are similar,the ratio of the shorter leg to the bigger leg must be equal.

$\begin{gathered} ratio=\frac{shorter\text{ leg}}{\text{bigger leg}} \\ ratio1=ratio2 \\ \frac{h}{24}=\frac{4}{6} \end{gathered}$

Step 2

solve for h

$\begin{gathered} \frac{h}{24}=\frac{4}{6} \\ \text{cross multiply} \\ 6\cdot h=4\cdot24 \\ 6h=96 \\ \text{divide boths} \\ \frac{6h}{6}=\frac{96}{6} \\ h=16 \end{gathered}$

therefore, the heigth of the tree is 16 ft