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]
3 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]3 years ago
8 0
B.240, because 240+180+120=540
Harman [31]3 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
Please please Help me!!!!!
pav-90 [236]

Answer:

19,23

Step-by-step explanation:

9+x-7≥ 21

Combine like terms

2+x≥21

Subtract 2 from each side

2+x-2 ≥21-2

x≥19

Any number greater than or equal to 19

3 0
3 years ago
1000 + 6901 - 64 = ?​
Radda [10]

Answer:

7837

Step-by-step explanation:

1000 + 6901 - 64 = ?​

=7837

8 0
3 years ago
Tara, Jennifer, and Mindy donated some money to a charity. Jennifer donated twice
vodka [1.7K]

Answer:

$12

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A child has toy blocks that contain the numbers 1 through 80. What is the probability that the will pick up a number that is
Tju [1.3M]

Answer:

73/80

Step-by-step explanation:

multiples of 11 between 1 and 80 are 11,22,33,44,55,66,77

number of terms=7

P(multiple of 11)=7/80

P(not a multiple of 11)=1-7/80=73/80

5 0
2 years ago
From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 21.
zzz [600]

Answer: (20.86, 22.52)

Step-by-step explanation:

Formula to find the confidence interval for population mean :-

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}

, where \overline{x} = sample mean.

z*= critical z-value

n= sample size.

\sigma = Population standard deviation.

By considering the given question , we have

\overline{x}= 21.69

\sigma=3.23

n= 58

Using z-table, the critical z-value for 95% confidence = z* = 1.96

Then, 95% confidence interval for the amount of time spent on administrative issues will be :

21.69\pm (1.96)\dfrac{3.23}{\sqrt{58}}

=21.69\pm (1.96)\dfrac{1.7}{7.61577}

=21.69\pm (1.96)(0.223221)

\approx21.69\pm0.83

=(21.69-0.83,\ 21.69+0.83)=(20.86,\ 22.52)

Hence, the 95% confidence interval for the amount of time spent on administrative issues = (20.86, 22.52)

7 0
3 years ago
Other questions:
  • The table below shows the relationship between the number of teaspoons of baking powder in a mix and the height of fudge brownie
    10·2 answers
  • A function T multiplies the input z by 2/3 and divides that by the quantity (z-1/2) .
    15·1 answer
  • from the edge of a 486-foot cliff, peyton shot an arrow over the ocean with an initial upward velocity of 90-feet per second
    5·1 answer
  • Which number is the best estimate of 866,214,000,000
    7·1 answer
  • Is 0.5 100 times 50(I really need help)
    9·1 answer
  • It’s 11:50 and I’m stuck in this question
    12·1 answer
  • Please help me correct some answers on my test!! im really confused. please be serious, no weird answers
    5·1 answer
  • What was darios hourly wage ¿
    13·2 answers
  • Suppose you make coffee and it starts off just too hot to drink, so you put it in the refrigerator temporarily to cool it off. I
    6·1 answer
  • Find the supplement of an angle that measures 20 degrees.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!