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
Darya [45]
3 years ago
9

A particular fraction is equivalent to 2/3. The sum of its numerator and denominator is 105. What is the numerator of the fracti

on?
Mathematics
1 answer:
Sphinxa [80]3 years ago
3 0
3x = 2(105-x)
3x = 210-2x
5x=21x = 42 the numerator. 105-42=63
So 63 is the denominator
42/63 = 2/3
You might be interested in
A sweater is on sale for 30% off the ticketed price of $42. How much will the sweater cost after the discount?
swat32
Discount is:
$42* (30/100)= $12.60

$42 -$12.60= $29.40

The sweater will cost $29.40 after the discount~
7 0
3 years ago
Read 2 more answers
The diameter of each wheel of a bicycle is 27 inches. If you are traveling at a speed of 20 miles per hour on this bicycle, thro
klasskru [66]
Notice, you've got a diameter in inches
and a linear velocity in miles
thus, you'd need to convert first

\bf v=rw\implies \cfrac{v}{r}=w\qquad 
\begin{cases}
v=\textit{linear speed}\\
r=radius\\
w=\textit{angular speed}\\
 --------------\\
v=20\frac{mi}{h}\\
r=\frac{diameter}{2}=\frac{27}{2}
\end{cases}
\\\\
\textit{now, converting 20miles to inches}
\\\\
\cfrac{20mi}{h}\cdot \cfrac{5280ft}{mi}\cdot \cfrac{12in}{ft}\implies \cfrac{20\cdot 5280\cdot 12\ in}{h}\impliedby v
\\\\\\
\cfrac{1267200\frac{in}{h}}{\frac{27}{2}in}=w

now, whatever that is, you'll need to divide it by a revolution, recall, a revolution is 2\pi
thus \bf \cfrac{\qquad \boxed{\cfrac{1267200\frac{in}{h}}{\frac{27}{2}in}}\qquad }{2\pi }=revolutions
7 0
3 years ago
Read 2 more answers
A worker gets paid overtime at the rate of normal time plus one third. One week he works 40 hours of normal time and 6 hours ove
Leya [2.2K]

Answer:

$ 720

Step-by-step explanation:

Normal time $ 15

Overtime: 15 x 1/3 = $5 + $15 = $20

(40 x 15) + (6 x 20) = 600 + 120

5 0
2 years ago
Seven ninths as a decimal
mars1129 [50]
.7777777778 the calculator says, only because it ran out of room :)
8 0
3 years ago
Read 2 more answers
Question 1. If X= {prime numbers less than 13} Y = {odd numbers less than 21} (i). List the members of X and Y (ii). List the me
valkas [14]

Step-by-step explanation:

easy union means all the element from small to big

8 0
2 years ago
Other questions:
  • What is the <br> Pythagorean theory
    15·1 answer
  • Which line having the given slope and passing through the given point represents a direct variation?
    13·1 answer
  • The value of d represents the distance, in units, between - 1/4 and 1/2 on a number line. Plot the point representing the value
    9·1 answer
  • Please help meeeeeeeeeee!!!!!!!!!!!!<br> DUE TONIGHT!!!!!!!!!
    15·2 answers
  • The distance of one lap around a school track is \frac{1}{4} mile. Sherrie walks 5 laps around the track. How many more laps mus
    5·1 answer
  • How much dimes make 20 dollars
    6·1 answer
  • How to write x2+y2+2x-12y-9 in Standard form
    15·1 answer
  • The chips used in the board game Mathfuries have the shape of hexagons.How many sides does each MathFuries chip have?
    14·1 answer
  • Solve the inequality
    11·1 answer
  • HELP ME PLEASE I WILL BE SOOOO THANKFUL
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!