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Ede4ka [16]
3 years ago
7

John read the first 1 1 4 114114 pages of a novel, which was 3 33 pages less than 1 3 3 1 ? start fraction, 1, divided by, 3, en

d fraction of the novel. Write an equation to determine the total number of pages ( p ) (p)left parenthesis, p, right parenthesis in th
Mathematics
1 answer:
damaskus [11]3 years ago
8 0

We are given statement " John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel".

Let us assume total number of pages of a novel = p pages.

3 less than 1/3 of total pages = 114.

3 less then 1/3 of P is = 114.

\frac{1}{3}P- 3 = 114

<h3>Therefore, required equation for number of pages of a novel is </h3><h3>\frac{1}{3}P- 3 = 114.</h3>
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PLEASE HELP WILL GIVE THANKS AND FIVE STARS IF RIGHT ANSWER
Vika [28.1K]

(x+4)^2 / 9 - (y+3)^2 / 16 = 1


a^2 = 16 and b^2 = 9

a = +4 and -4

b = +3 and -3


Center is (-4, -3)

Vertices is (-4 + a, -3) and (-4 - a, -3)

Vertices is (-1, -3) and (-7, -3)

8 0
3 years ago
3. What is the scale factor of Figure B to Figure A?
xxMikexx [17]

Answer:

2.5

Step-by-step explanation:

From the diagram, figure B was enlarged to obtain figure A.

The two figures are therefore similar.

The corresponding sides are in the same proportion. That constant value of the proportion is called scale factor.

It is given by:

k =  \frac{image \: length}{corresponding\:object \: length}

Figure B is the image of A

k =  \frac{10}{4}  =  \frac{25}{10}  = \frac{21.5}{8.6} =   2.5

Therefore the scale factor is 2.5

4 0
3 years ago
Fifty eight students were surveyed about how frequently they text during lunch. The results are summarized below. Which statemen
umka2103 [35]

Answer:The median number is 9 , Q3 is 11, data is skewed left, lowest 25%

Step-by-step explanation:

4 0
3 years ago
What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y
Gekata [30.6K]

Answer:

y=\displaystyle-\frac{4}{3}x+22

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept
  • Parallel lines always have the same slope (<em>m</em>)

<u>Determine the slope (</u><em><u>m</u></em><u>):</u>

<u />y=\displaystyle-\frac{4}{3}x -1<u />

The slope of the given line is \displaystyle-\frac{4}{3}, since it is in the place of <em>m</em> in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be \displaystyle-\frac{4}{3}. Plug this into y=mx+b:

y=\displaystyle-\frac{4}{3}x+b

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

y=\displaystyle-\frac{4}{3}x+b

To find the y-intercept, plug in the given point (6,14) and solve for <em>b</em>:

14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22

Therefore, the y-intercept of the line is 22. Plug this back into y=\displaystyle-\frac{4}{3}x+b:

y=\displaystyle-\frac{4}{3}x+22

I hope this helps!

5 0
3 years ago
Does anyone know the answer to this ???
Jlenok [28]
<h2>C. ΔQRS ≅ ΔGFE </h2>

ΔQRS ≅ ΔGFE because :

∠Q = ∠G = 55°( corresponding part )

∠R = ∠F = 60° ( corresponding part )

∠S = ∠E = 65° ( corresponding part )

QS = GE = 16 ( corresponding part )

Therefore , the correct answer is :-

<h3>C. ΔQRS ≅ ΔGFE </h3>

8 0
3 years ago
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