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
amid [387]
3 years ago
14

At the end of April, Mandy told Bill that she has read 16 books this year and reads 2 books each month. Bill wants to catch up t

o Mandy. He tracks his book reading with a table on his door. Using his table below, what month will Bill have read the same amount of books as Mandy?
Month        Books
May-          4
June-         8
July-          12

Answer Choices:
A. September
B. October
C. August
D. December
Mathematics
2 answers:
klemol [59]3 years ago
6 0
Mandy Increases her books by 2 per month.
Bill increases his books by 4 per month.

Month     Mandy    Bill
May          18          4
June         20          8
July          22        12
August     24        16
Sept        26        20
Oct          28        24
Nov          30        28
Dec        32          32
At the end of December they will have read the same amount of books.
MatroZZZ [7]3 years ago
4 0

Answer:

Option D - December

Step-by-step explanation:

Given :  Mandy read 16 books this year and read 2 books each month.

Bill wants to catch up to Mandy and follow:

Month        Books

May-          4

June-         8                        

July-          12  

From this table bill increases his books by 4 per month.

and Mandy Increases her books by 2 per month.

Let x represent the no. of months (x=1 represent the May)

Therefore,

For Mandy who already read 16 books in the end of April and reads 2 books each month ⇒ 16+2x

For Bill he wants to catch Mandy so he started with reading 4 books in a month ⇒4x

The month will Bill have read the same amount of books as Mandy

16+2x=4x

⇒16=2x

⇒x=8

i.e, from May to 8 months ⇒December

Month(x)           Mandy(16+2x)       Bill(4x)

May(1)                    18                          4  

June(2)                  20                         8

July(3)                    22                        12

August(4)               24                        16

September(5)        26                        20

October(6)             28                        24

November(7)          30                        28

December(8)          32                        32

At the end of December they will have read the same amount of books.

Hence, Option D is correct.



You might be interested in
Melinda bought 6 bowls for $13.20. what was the unit rate in dollars
never [62]
<u>6
</u>13.20
Divide by 6
<u>1
</u>2.2
6 0
3 years ago
Sample annual salaries (in thousands of dollars) for employees at a company are listed. 42 36 48 51 39 39 42 36 48 33 39 42 45 (
Sonja [21]

Answer:

a) Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

\bar X = 41.538

s = 5.317

b) 44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

\bar X = 43.615

s= 5.583

c) 3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

\bar X= 3.462

s = 0.443

d) As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3.462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

Step-by-step explanation:

For this case we can use the following formulas for the mean and standard deviation:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

Part a

Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

And if we calculate the mean we got:

\bar X = 41.538

s = 5.317

Part b

For this case we know that each value present a 5% of rise so we just need to multiply each value bu 1.05 and we have this new dataset:

44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

And if we calculate the new mean and deviation we got:

\bar X = 43.615

s= 5.583

Part c

The new dataset would be each value divided by 12 so we have:

3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

And the new mean and deviation would be:

\bar X= 3.462

s = 0.443

Part d

As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3,462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

5 0
3 years ago
Mason randomly chooses a card from a standard deck of playing cards. What is the probability that it is not an ace, given it is
bogdanovich [222]

Answer:

there are 52 cards in a deck so the chance is a red card (or not a red card) is 26 out of 52.

Step-by-step explanation:

5 0
2 years ago
What is the vertex for<br> f(x)=4(x-2)^2 + 3
Flauer [41]

Answer: (2,3)

Hope this helps! good luck! Have a wonderful day! :)

4 0
3 years ago
Please answer this i really understand this at all its so hard:((
vlabodo [156]

Step-by-step explanation:

25x ratio

stay safe and wear mask

5 0
2 years ago
Other questions:
  • Which situation can be represented by the equation 100-2 x=140-6?
    11·2 answers
  • Solve the inequality |3x-6|≤9
    9·1 answer
  • 15=3y+7.y= please help me with my assignment i havelike 57 more questions to answer and 10% im trying by myself to solve the res
    7·1 answer
  • The quotient of a number and -3 is 5?
    7·1 answer
  • Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). The formula for
    15·2 answers
  • Which is the best way to solve the equation ? square root of x = m?
    9·2 answers
  • #2. Use substitution to solve the system of equations
    11·1 answer
  • What is the median?<br> A(18<br> B(27<br> C(33.2<br> D(34.5
    10·2 answers
  • PLZZZZZZZZ HELP ME ON THIS PLZZZZZZ
    5·2 answers
  • HELP WHATS THE ANSWER FOR THIS, WILL MARK BRAINLIEST!!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!