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
bagirrra123 [75]
3 years ago
11

PLZ HELP ME ASAP PLZ PLZ PLZ!!!!! I NEED LOTS OF HELP!!! I USED 40 POINTS

Mathematics
1 answer:
cupoosta [38]3 years ago
6 0
First, some defintions
reciprocals are like a/b and b/a or 5/1 and 1/5

remember, \frac{\frac{a}{b}}{\frac{c}{d}}=(\frac{a}{b})(\frac{d}{c})=\frac{ad}{bc}

john's fraction is reciprocal of sarah's
john=a/b
sarah=b/a

david multiplies his by sarah and gets 12/35
(b/a)(david)=12/35

multplies his number by john and gets 12/35
(a/b)(david)=15/7

hmmm

(b/a)(david)=12/35 and
(a/b)(david)=15/7

if we divide them then we do
\frac{(\frac{b}{a})(david)}{(\frac{a}{b})(david)}=\frac{\frac{12}{35}}{\frac{15}{7}}=
\frac{\frac{b}{a}}{\frac{a}{b}}=\frac{\frac{12}{35}}{\frac{15}{7}}=
(\frac{b}{a})(\frac{b}{a})=(\frac{12}{35})(\frac{7}{15})=
\frac{b^2}{a^2}=\frac{84}{525}=
\frac{b^2}{a^2}=\frac{4}{25}
square root both sides
\frac{b}{a}=\frac{2}{5}

therefor
b=2 and a=5

john's number is a/b=5/2
sarah's number is 2/5

david, hmm

sarah times david=12/35
2/5 times david=12/35
times both sides by 5/2
david=60/70
david=6/7

check other

john times david=15/7
5/2 times 6/7=15/7
30/14=15/7
15/7=15/7
true





sarah's favorite number is 2/5
john's favorite number is 5/2
david's favorite number is 6/7
You might be interested in
A boat is traveling at a constant speed. In 10 hours, the boat travels 160 miles. How many hours will it take the boat to travel
Novay_Z [31]
1 hour, 32 min, HAHAHA not sure.
4 0
3 years ago
Read 2 more answers
Need help please thanks :)
luda_lava [24]

Answer:

800 ft, you should write ur own sentence tho

Step-by-step explanation:

520 - (-280) = 800

6 0
3 years ago
Tell whether the sequence is arithmetic if it is identify the common difference -1 7 15 23
zhuklara [117]
Yes it is a arithmetic sequence this is because you are adding 8 to each number to get the result of the next number
5 0
3 years ago
Given d is the midpoint of ab, e is the midpoint of bc, and ac = 24 units. which of the following statements must be true?
yan [13]

Answer:

C

Step-by-step explanation:

I am pretty sure but get another answer just to be sure.

7 0
2 years ago
Eduardo has to make a 10 minute video of his test corrections for his Algebra 2 teacher in order to be eligible to retest. His t
shutvik [7]

Answer:

7 ≤ v ≤ 13

Step-by-step explanation:

Length of video required must be within 10 minutes

Submitted length of video must be with 3 minutes of the 10 minutes video

To create an absolute value inequality :

Let v = the range of value for which the required video will be :

|v - 10| = ±3

Lower boundary :

|v - 10| = - 3

v = - 3 + 10

v = 7

Upper boundary :

|v - 10| = 3

v = 3 + 10

v = 13

Hence,

7 ≤ v ≤ 13

4 0
3 years ago
Other questions:
  • A culture started with 4,000 bacteria. After 5 hours, it grew to 4,800 bacteria. Predict how many bacteria will be present after
    9·2 answers
  • What is the square root of 128r squared
    7·1 answer
  • A tennis ball is hit upward with a velocity of 48 feet per second.  Ignoring the height of the tennis player, how long does it t
    13·1 answer
  • The equation of a graph is 4x - 3y = 5. What is the x-intercept?
    15·2 answers
  • Transversal / cuts lines a, b, c, and d.<br> Which two lines are parallel?
    5·1 answer
  • Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large cups for $2.50. if ashley sold a to
    15·1 answer
  • A train travels at a constant speed of 24
    7·2 answers
  • A regular 12-oz beer is about 5% alcohol. This works out to about 14.03 grams of alcohol per beer. If the driver drank two beers
    10·1 answer
  • Dan has 39 books in his library. He bought several books at a yard sale over the weekend. He now has 92 books in his library. Ho
    11·1 answer
  • Please help this is a unit test &lt;3
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!