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
Tanya [424]
2 years ago
14

Peter is reading a 193-page book. he has read three pages more than one-fourth of the number of pages he hasn't yet read. how ma

ny pages has he not yet read? 147 144 152 141
Mathematics
1 answer:
exis [7]2 years ago
6 0
Let's call <em />the number of pages we <em>have </em>read m. To find the number of pages we have <em>left</em> to read, we'll need to subtract the number of pages we've read from the total number of pages in the book. Our total page count is 193, and the number of pages we've read is the unknown m, so the number of pages we <em />haven't read can be written as 193-m. With that knowledge, let's construct the rest of our equation.

"He has read three pages more than one-fourth of the number of pages he hasn't yet read." The first key phrase here is "he has read." What this means is that the number of pages he's read, which we've named m, is equal to everything in the rest of the sentence. "Thee pages more than" means that we're going to be adding 3 to whatever the next quantity described is, which, in this case, is "one-fourth of the number of pages he hasn't yet read." We already established earlier that "the number of pages he hasn't yet read" is 193-m, so one-fourth of that would be \frac{1}{4} (193-m). Putting everything together, we get the following equation:

m= \frac{1}{4} (193-m)+3

To solve for m, we might first want to eliminate the fraction 1/4 by multiplying both sides of the equation by 4, obtaining

4m=193-m+12

Solving for m, we get:

4m=193+12-m\\5m=205\\m=41

Now that we have m, it's a simple matter to solve for 193-m:

193-41=152

So, he has not yet read 152 pages.
You might be interested in
Help me please 10 ////////////////
madam [21]

Answer:

part A is 120

Step-by-step explanation:

6 × 20 = 120

part B

3 0
3 years ago
Read 2 more answers
Exam​ question: You can buy a 57​-pound bag of flour for ​$ 11 or you can buy a​ 1-pound bag for $ 0.41 Compare the per pound co
egoroff_w [7]

Answer:

Step-by-step explanation:

57 lb bag for $ 11  or 1 lb bag for $ 0.41

11/51 = 0.215 .....rounds to 0.22 ......this is the correct way...... the student messed up and divided wrong.

the large bag only charges $ 0.22 per lb, whereas, the small bag charges $ 0.41 per lb.

3 0
3 years ago
Rewrite with positive exponents a^-3 b^-5
amm1812

Answer:

1/a^3 and 1/b^5

6 0
3 years ago
¿Para que sirven los números primos?
Delicious77 [7]
Un número primo es un número entero mayor que 1, cuyo sólo dos factores de números enteros son 1 y en sí.
5 0
3 years ago
What would be the rate of change and the initial value
seraphim [82]
Rate of change = 2/1 and the initial value is -2. this can be expressed as y=2x-2. 
4 0
3 years ago
Other questions:
  • Consider a circular dart board with radius one. I throw a dart at the board and record the (X,Y) position (note that the dart wi
    7·1 answer
  • What is another way to say 345 centimeters?
    9·2 answers
  • 5 of 10
    11·1 answer
  • What is 1.2 in expanded form
    7·1 answer
  • Geometry Angles help.<br><br> I need help with<br><br> What is "GE"
    10·1 answer
  • 2^2(3-8) /5-1 order of operations step by step
    7·1 answer
  • How do the average rates of change for the pair of function compare over the given interval?
    6·1 answer
  • The equation for the line shown in the graph below is y= 2x + b in slope intercept form.
    6·1 answer
  • PLEASE HELP!!!!! explain too please
    7·2 answers
  • Joe has an ice cream stand. last week he spent $85 for ice cream and supplies. he earned $125. what was his profit?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!