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
liq [111]
3 years ago
10

Yesterday, Sharon read 14 pages of a book. Today, she continued reading the book at the same speed. She read 10 pages in 35 minu

tes. How much time did she spend reading the book yesterday?
Mathematics
1 answer:
horrorfan [7]3 years ago
8 0

Answer:

Sharon spent a total of 49 minutes yesterday reading the book

Step-by-step explanation:

Step 1: Calculate the rate at which she reads

The total number of pages she reads at any given time interval can be expressed as;

T=P×m

where;

T=Total number of pages she reads

P=the rate at which she reads in number of pages per minute

m=total number of minutes she takes reading a book

In our case;

T=10 pages

P=p

m=35 minutes

replacing;

10=p×35

p=10/35

p=(10/35)

The rate at which she reads=(10/35) pages per minute

Step 2: Calculate the time she spent reading the book yesterday

Yesterdays variables are as follows;

T=14 pages

p=(10/35) pages per minute

m=unknown

replacing;

14=(10/35)×m

m=14×(35/10)

m=49

Sharon spent a total of 49 minutes yesterday reading the book

You might be interested in
Consider three boxes with numbered balls in them. Box A con- tains six balls numbered 1, . . . , 6. Box B contains twelve balls
murzikaleks [220]

Answer:

a) 0.73684

b) 2/3

Step-by-step explanation:

part a)

P ( A is 1 / exactly two balls are 1) = \frac{P ( A is 1 and that exactly two balls are 1)}{P (Exactly two balls are one)}

Using conditional probability as above:

(A,B,C)

Cases for numerator when:

P( A is 1 and exactly two balls are 1) = P( 1, not 1, 1) + P(1, 1, not 1)

= (\frac{1}{6}* \frac{11}{12}*\frac{1}{4})  + (\frac{1}{6}*\frac{1}{12}*\frac{3}{4}) = 0.048611111

Cases for denominator when:

P( Exactly two balls are 1) = P( 1, not 1, 1) + P(1, 1, not 1) + P(not 1, 1 , 1)

= (\frac{1}{6}* \frac{11}{12}*\frac{1}{4})  + (\frac{1}{6}*\frac{1}{12}*\frac{3}{4}) + (\frac{5}{6}*\frac{1}{12}*\frac{1}{4})= 0.0659722222

Hence,

P ( A is 1 / exactly two balls are 1) = \frac{P ( A is 1 and that exactly two balls are 1)}{P (Exactly two balls are one)} = \frac{0.048611111}{0.06597222} \\\\= 0.73684

Part b

P ( B = 12 / A+B+C = 21) = \frac{P ( B = 12 and A+B+C = 21)}{P (A+B+C = 21)}

Cases for denominator when:

P ( A + B + C = 21) = P(5,12,4) + P(6,11,4) + P(6,12,3)

= 3*P(5,12,4 ) =3* \frac{1}{6}*\frac{1}{12}*\frac{1}{4}\\\\= \frac{1}{96}

Cases for numerator when:

P (B = 12 & A + B + C = 21) = P(5,12,4) + P(6,12,3)

= 2*P(5,12,4 ) =2* \frac{1}{6}*\frac{1}{12}*\frac{1}{4}\\\\= \frac{1}{144}

Hence,

P ( B = 12 / A+B+C = 21) = \frac{\frac{1}{144} }{\frac{1}{96} }\\\\= \frac{2}{3}

4 0
3 years ago
For the last 4.5 hours, the temperature has decreased at a rate of 2.8 degrees per hour. Which best represents the overall chang
Elden [556K]

Just divide 4.5 by 2.8 and you'll get the rate of decreasing degree per hour.

8 0
3 years ago
Read 2 more answers
URGENT!<br> How do you solve a word problem using the direct variation formula?
Marat540 [252]

Answer:

U DIVIDE IT!!

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
I need an answer . plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
bonufazy [111]
The unsimplified answer is 15/50. The answer simplified is 3/10.
equation/how to solve=
there are 50 circus performers total. (15 magicians + 35 performers) so that would be 15 magiciand over 50 performers (15/50)
to simplify... 5 goes into 15 3 times, and 5 goes into 50 ten times. (3/10)
Hope this helped you out!
6 0
4 years ago
Read 2 more answers
Determine the slope of a line given points, (-5, 8) and (-8,5).​
Contact [7]

Answer:

1

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = (5-8)/(-8 - -5)

    = -3/(-8+5)

    = -3/-3

   = 1

3 0
3 years ago
Other questions:
  • Mrs. Chesney bought 3 games at a cost of $14.99 each. What will she pay including 7% sales tax
    8·1 answer
  • Find the value of the expression.<br> b2 − a <br> for a = 4 and b = 5
    11·2 answers
  • The equation of a line is 4x-3y=-4 what is the x-intercept of the line
    12·1 answer
  • Find the quotient of quantity of 6 times x to the 3rd power minus 18 times x to the 2nd power minus 12 times x all over negative
    9·2 answers
  • A square field has an area of 479 ft^2. What is the approximate length of a side of the field? Give your answer to the nearest f
    7·1 answer
  • A = (b*h) / 2 or A = :½ b*h. or A = 0.5*b*h <br>​
    10·1 answer
  • Which of the following best describes the equation below?
    11·1 answer
  • Evaluate the algebraic expression for the given values of x = 3 and y = 4. Tx - 2y - 1 = I​
    14·1 answer
  • The following graph shows a proportional relationship.
    8·1 answer
  • Residents in a city are charged for water usage every three months. The water bill is computed from a common fee, along with the
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!