1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Schach [20]
4 years ago
5

Rafael, Denise, and Philippe are doing a project together. They decide to base the project on a book that is 540 pages long. Raf

ael plans to read a certain number of pages. Denise will read 3/4 of the number of pages Rafael reads, and Philippe will read 1/2 of the number of pages that Rafael reads. How many pages will Rafael read?
A. 180 B.240 C.300 D.432
Mathematics
2 answers:
trasher [3.6K]4 years ago
8 0
B.240, because 240+180+120=540
Harman [31]4 years ago
5 0

Answer:  B. 240

Step-by-step explanation:

Let the number of pages read by Rafael be 'x'.

Then, The number of pages read by Denise =\frac{3}{4}x

The numb er of pages read by Philippe =\frac{1}{2}x

According to the question :-

x+\frac{3}{4}x+\frac{1}{2}x=540\\\\\Rightarrow \frac{4x+3x+2x}{4}=540\\\\\Rightarrow \frac{9x}{4}=540\\\\\Rightarrow x=\frac{540\times4}{9}\\\\\Rightarrow x=240

The number of  pages read by Rafael =240

You might be interested in
An item on sale costs
9966 [12]
The sale price would be 18 dollars. Hope this helps you! 
3 0
3 years ago
Read 2 more answers
The difference between 4x and 2x is 70. Find the 2x​
VashaNatasha [74]

Answer:

2x = 70

Step-by-step explanation:

4x - 2x = 70

2x = 70

x = 70/2

x = 35

4 0
2 years ago
Can you write a real world problem that uses Pythagorean theorem ?
elena-14-01-66 [18.8K]

1) Road Trip: Let’s say two friends are meeting at a playground. Mary is already at the park but her friend Bob needs to get there taking the shortest path possible. Bob has two way he can go - he can follow the roads getting to the park - first heading south 3 miles, then heading west four miles. The total distance covered following the roads will be 7 miles. The other way he can get there is by cutting through some open fields and walk directly to the park. If we apply Pythagoras's theorem to calculate the distance you will get:

(3)<span>2 </span>+ (4)2 =

9 + 16 = C2

√25 = C

5 Miles. = C

Walking through the field will be 2 miles shorter than walking along the roads. .

2) Painting on a Wall: Painters use ladders to paint on high buildings and often use the help of Pythagoras' theorem to complete their work. The painter needs to determine how tall a ladder needs to be in order to safely place the base away from the wall so it won't tip over. In this case the ladder itself will be the hypotenuse. Take for example a painter who has to paint a wall which is about 3 m high. The painter has to put the base of the ladder 2 m away from the wall to ensure it won't tip. What will be the length of the ladder required by the painter to complete his work? You can calculate it using Pythagoras' theorem:

(5)<span>2 </span>+ (2)2 =

25 + 4 = C2

√100 = C

5.3 m. = C

Thus, the painter will need a ladder about 5 meters high.

3) Buying a Suitcase: Mr. Harry wants to purchase a suitcase. The shopkeeper tells Mr. Harry that he has a 30 inch of suitcase available at present and the height of the suitcase is 18 inches. Calculate the actual length of the suitcase for Mr. Harry using Pythagoras' theorem. It is calculated this way:

(18)<span>2 </span>+ (b)2 = (30)2

324 + b2 = 900

B2 = 900 – 324

b= √576

= 24 inches

6 0
3 years ago
The measure of angle θ is 600°. The point (x, y) corresponding to θ on the unit circle is ______.
eduard
A unit circle has a radius of 1. 

Θ = 600°

1 circle = 360°

Θ = 360° + 240°

(x,y) =  cos 360° , sin 240° 
(x,y) = -0.50 , -0.886

If these were the given choices: 
<span>A.) -(3^(1/2))/2     B.)-1(2^(1/2))/2           C.)-1/2         D.) (3^(1/2))/2
</span>
x = C) - 1/2
y = A) -(3^1/2) / 2
8 0
3 years ago
Read 2 more answers
The hydrogen ion concentration (h+) in a certain cleaning compound is (h+)=3.2x10^-11 use the formula ph=-log(h+) to find the pH
Furkat [3]

Answer:

The pH of the clean compound is approximately 10.495.

Step-by-step explanation:

If the cleaning ion concentration of the cleaning compound is [H^{+}] = 3.2\times 10^{-11}, then the pH, no unit, of the compound is:

pH = -\log_{10} [H^{+}]  (1)

pH = -\log_{10} (3.2\times 10^{-11})

pH = -\log_{10} 3.2 - \log_{10} (10^{-11})

pH = -\log_{10} \frac{32}{10} +11

pH = -\log_{10} 32 + \log_{10} 10 + 11

pH = -\log_{10} 32 +12

pH \approx 10.495

The pH of the clean compound is approximately 10.495.

6 0
3 years ago
Other questions:
  • How to find area of composite figures
    14·1 answer
  • SOMEONE PLZ HALP ME ON THIS ASAP! A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fount
    11·1 answer
  • - Write the expression you can substitute
    15·2 answers
  • Using the following graph, determine the slope of the line,
    6·1 answer
  • Beth’s father asked her to buy party favors for her little brother’s birthday party. Party hats cost $1.60 each, balloons cost $
    10·1 answer
  • Each grid is a part of a decimal number chart similar to the one on page how do we write the missing number
    9·1 answer
  • What is a standard transmission
    14·1 answer
  • Which equation represents “fifteen more than r is sixty-one?”
    8·2 answers
  • Four friends charge different amounts for babysitting.<br><br> Who charges the most per hour?
    8·2 answers
  • Find two power series solutions of the given differential equation about the ordinary point x = 0. y'' + xy = 0
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!