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LiRa [457]
4 years ago
15

one i read 3 novels with the first having 120 more pages than the second and the second having 75 fewer pages than the third. i

read 1005 pages. how many pages in each novel?
Mathematics
2 answers:
Alborosie4 years ago
6 0

Answer:

The first has 390 pages, the second 270 and the third 345 pages

Step-by-step explanation:

The question may be expressed as an equation in terms of the number of pages in the first book read.

Let the number of pages in the first be h

if the first has 120 more pages than the second then the second has

= h - 120 pages

and the second having 75 fewer pages than the third, then the third has

= h - 120 + 75 pages

Hence the total number of pages in the 3 books

= h + h - 120 + h -120 + 75

= 3h - 165

3h - 165 = 1005

3h = 165 + 1005

3h = 1170

h = 390

the second has

= 390 - 120

=270 pages

and the 3rd

= 270 + 75

= 345

DochEvi [55]4 years ago
4 0

Answer:

Step-by-step explanation:

So it's basically an extra special complicated addition problem.  Let's take it step by step.

We'll call the books book A, B and C.  Well we know Book A has 120 more pages than book B, so if we say book B has x pages, then book A has x +120 pages.  

Then we know that x is 75 less than the third, so we can say book C has x + 75 pages.  So in order the number of pages each book has are

A = x + 120

B = x

C = x + 75

We also know A + B + C = 1005.  Can you handle it from there?  Or is there anything you don't understand?

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Firlakuza [10]

Answer:

x =  \frac{33}{5}

or

x = 6 \frac{3}{5}

or

x = 6.6

Step by Step:

Step 1: Rewrite the equation (I used x instead of k.)

\frac{x}{4}  =  \frac{33}{20}

Step 2: Make x a loner by moving the 4 to the right side.

4 \times  \frac{x}{4}  =  \frac{33}{20}  \times 4

Step 3: Cancel multiplied terms on the left, multiply numbers on the right.

x =  \frac{165}{100}

Step 4: Simplify.

x =  \frac{33}{5}

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3 years ago
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4 years ago
Read 2 more answers
10. RECREATION In a game of kickball, Rickie has to kick the
wel

Answer:

The angle Rick must kick the ball to score is an angle between the lines BX and BZY which is less than or equal to 32°

Step-by-step explanation:

The given measures of the of the angle formed by the tangent to the given circle at X and the secant passing through the circle at Z and Y are;

m\widehat{XZ}  = 58^{\circ}

m\widehat{XY}  = 122^{\circ}

The direction Rick must kick the ball to score is therefore, between the lines BX and BXY

The angle between the lines BX and BXY = ∠XBZ = ∠XBY

The goal is an angle between m\widehat{XY}

Let 'θ' represent the angle Rick must kick the ball to score

Therefore the angle Rick must kick the ball to score is an angle less than or equal to ∠XBZ = ∠XBY

By the Angle Outside the Circle Theorem, we have;

The angle formed outside the circle = (1/2) × The difference of the arcs intercepted by the tangent and the secant

\therefore \angle XBZ = \dfrac{1}{2} \times \left (m\widehat{XY}  -m\widehat{XZ} \right)

We get;

∠XBZ = (1/2) × (122° - 58°) = 32°

The angle Rick must kick the ball to score, θ = ∠XBZ ≤ 32°

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3 years ago
A reporter asked a sample of boys what their favorite food was. If 30% or 42 boys said pizza, how many boys did the reporter sur
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Answer:

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Step-by-step explanation:

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8 0
3 years ago
Drag each tile to the correct box.
Gwar [14]

Step-by-step explanation:

6x - 15 = 75, 6x = 90, x = 15.

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Hence the equations

in increasing order of x-values are:

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3 years ago
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