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
Olenka [21]
3 years ago
11

On Dan's eReader, 2/3 of the books are fiction. Of the fiction books,4/5 are mysteries. What fraction of the books on Dan's eRea

der are mysteries? What fraction the books are not mysteries? Explain
Mathematics
1 answer:
Nitella [24]3 years ago
8 0

Answer:

Step-by-step explanation:

Let's take a real situation. Suppose he has 1500 books in total

2/3 of them are fiction. Of means multiply.

them = 1500

2/3 * 1500 = 3000/3 = 1000

Now of the one thousand fiction books 4/5 of them are mysteries.

4/5 * 1000 = 4000/5 = 800.

Now let's see what happens when we just do this by answering the question directly.

2/3 * 4/5 = 8/15 This has the meaning that 8 out of every 15 books = mysteries.

Try this on the 1500 books.

8/15 * 1500 = 9000/15 = 800. So the answers are the same and the answer the computer expects should be 8/15 or 0.533333333

Just to check, does 0.5333333 * 1500 = 800? Try it.

You might be interested in
Suppose that an individual has a body fat percentage of 14.5% and weighs 167 pounds. How many pounds of her weight is made up of
fenix001 [56]
167 divided by 100 = 1.67
1.67 x 14.5= 24.215
answer to nearest tenth = 24.2
3 0
3 years ago
Read 2 more answers
The graph below shows a household's budget. If the household spends $2,000 a month, what are their utility costs for the month?
Llana [10]
The answer should be $200.
Your welcome :)
3 0
3 years ago
Emma was about to finish grocery shopping when she noticed that cans of soup were on sale. Her total bill for groceries would be
Alinara [238K]

Answer:

3rd option: B(C)= 1.79C +86.03

Step-by-step explanation:

Total bill

= cost of cans(number of cans) +cost of other groceries

Let the cost of other groceries be G, and the cost of cans be X.

Given that number of cans= C,

Total bill= XC +G

If 2 cans were purchased,

2X+G= 89.61 -----(1)

If 5 cans were purchased,

5X +G= 94.98 -----(2)

(2) -(1):

(5X +G) -(2X +G)= 94.98 -89.61

5X +G -2x -G= 5.37

3X= 5.37

X= 5.37 ÷3 <em>(</em><em>÷</em><em>3</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

X= 1.79

Subst. X= 1.79 into (1):

2(1.79) +G= 89.61

3.58 +G= 89.61

G= 89.61 -3.58 <em>(</em><em>-3.58</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

G= 86.03 <em>(</em><em>simplify</em><em>)</em>

Total bill

= XC +G

= 1.79C +86.03

Thus, the function is B(C)= 1.79C +86.03.

3 0
3 years ago
Juliet has a choice between receiving a monthly salary of $1750 from a company or a base salary of $1600 and a 3% commission on
Westkost [7]

For an amount of sales of $5,000, the two salary choice will be equal

Let the amount of sales be $x

The 3% she will receive will be;

\frac{3}{100}\times x\text{ = 0.03x}

We add this to the base salary and equate to the former monthy salary

We have this as;

\begin{gathered} 1750\text{ =1600 + 0.03x} \\ 1750-1600\text{ = 0.03x} \\ 150\text{ = 0.03x} \\ x\text{ = }\frac{150}{0.03} \\ x\text{ = \$5000} \end{gathered}

4 0
1 year ago
Which can be the first step in finding the equation of the line that passes through the points (5,-4) and (-1,8) in slope-interc
Mars2501 [29]

 

<span>Hello : let  A(5,-4)    B(-1,8)
the slope is :   (YB - YA)/(XB -XA)
(8+4)/(-1-5)  =-2
an equation is : y=ax+b     a is a slope</span>

y = -2x +b

 

the line through point  A(5,-4) :  -4= -2(5)+b<span>
<span>b = 6
the equation is : y =-2x+6</span></span>

7 0
3 years ago
Read 2 more answers
Other questions:
  • 48 divided by 2 times 0.9+0.3
    10·2 answers
  • A tree casts a shadow that is 20 feet long . Frank is 6 feet tall, and while standing next to the tree he casts a shadow 4 feet
    9·1 answer
  • I need help with Algebraic expressions for each statements!!
    9·1 answer
  • If a line crosses the y-axis at (0, -3) and has a slope of 3, what is the equation of the line?
    15·2 answers
  • The terms in a sequence are given by 3 + 2x. what are the first 6 terms in the sequence?​
    10·1 answer
  • Graph the equations below using slope-intercept form
    15·1 answer
  • Algebraic expression for 12 divided by t ?
    15·1 answer
  • Combine like terms:<br> 6x + 5a +2x +a<br><br> My answer was 7x, 5a but that was wrong
    7·2 answers
  • A 215​-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
    5·1 answer
  • Classify each number below as an integer or not.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!