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
Elan Coil [88]
3 years ago
6

1. If the same number is added to the numerator and subtracted from the denominator of 23/12, the resulting fraction is equivale

nt to the reciprocal of  2/3. What is the number?
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
8 0

Answer:

The number is -2

Step-by-step explanation:

step 1

Find the reciprocal of 2/3

Remember that when multiply a number by its reciprocal, the result is 1

so

The reciprocal of 2/3 is 3/2

step 2

Let

x-----> the number added to the numerator and denominator

\frac{23+x}{12-x}=\frac{3}{2}

Solve for x

2(23+x)=3(12-x)\\46+2x=36-3x\\2x+3x=36-46\\5x=-10\\x=-2

step 3

verify

\frac{23+x}{12-x}

substitute x=-2

\frac{23-2}{12+2}

\frac{21}{14}

Simplify

\frac{3}{2} ----> is ok

therefore

The number is -2

You might be interested in
11. Jeff is taking his family and friends to the movies. Adult tickets, a, are $8 and child
bezimeni [28]

Answer:

there are 3 adults and 8 children

Step-by-step explanation:

8*3 (3=Adults)=$24

5*8 (8 children)=$40

24+40=$64

7 0
3 years ago
at the movies, la quinta paid for drinks and popcorn for herself and her two children. she spend twice as much on popcorn as on
jarptica [38.1K]

Answer:

Step-by-step explanation:

let the amount spent on popcorn be x and amount spent on drinks be y

If the total bill paid is  $17.94, then x+y =  $17.94

If she spend twice as much on popcorn as on drinks, then y = 2x

Substitute y = 2x into the original equation

x+y =  $17.94

x + 2x =  $17.94

3x =  $17.94

x =  $17.94/3

x = $5.98

Since y = 2x

y = 2($5.98)

y = $11.96

Therefore she spent  $5.98 on popcorn and $11.96 on drinks

4 0
3 years ago
Pleaseeeee please help me out.......
SIZIF [17.4K]
The answer is C hope this helps
4 0
3 years ago
Read 2 more answers
Subject:Mathematics ​
djverab [1.8K]

Answer:

I'm also struggling with that too

7 0
2 years ago
Read 2 more answers
When two fractions are between 0 & 1 half how do you know which fraction is greater explaina
oksian1 [2.3K]
 Example- 1/3 or 1/5, which is larger? If you divide 1 by 3 the answer is 0.33 If you divide 1 by 5 it's 0.2. Since 0.33(1/3) is larger that would be the answer.
sorry if I make this confusing.
basically divide the top by the bottom to see which is larger. Then compare the fractions.
5 0
3 years ago
Other questions:
  • Find the probability that at least one molecule in the breath you just took was shared with caesar’s last breath, and give a sim
    6·1 answer
  • Which points are on the graph of the inverse?
    8·2 answers
  • 9 and 3/4 as an improper fraction
    8·1 answer
  • Solve 2x + 5 = 9 and show your work as well please
    8·2 answers
  • Which equation describes how the parent function, y = x cubed, is vertically stretched by a factor of 4?
    12·2 answers
  • Can someone please help
    11·1 answer
  • If 2x• 3x +(2•3 )x +6x= 648, find x.
    15·2 answers
  • What is -40/60 as a decimal
    9·2 answers
  • A grain trader buys the following amounts from three suppliers: 3,200 pounds,7,200 ponds and 600 pounds. What is the total weigh
    5·1 answer
  • Whats 9+10= help will give brainlist
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!