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
adell [148]
3 years ago
5

Solve for x (5x-3)/4 = x/3 + 1 and please show working out

Mathematics
1 answer:
Mila [183]3 years ago
4 0
(5x-3)/4 = x/3 +1  
5x-3 = 4x/3 +4 
5x - 4x/3 = 7
(11/3)x = 7 
x = 7/(11/3) = 21/11

You might be interested in
To decorate a cake, you make a shade of purple icing using 12 drops of red food coloring for every 18 drops of blue.
LUCKY_DIMON [66]

Answer:

9

Step-by-step explanation:

5 0
2 years ago
What is the range of the function f(x)=5x+4 when the domain is {-2,3,5}?
jonny [76]

Answer:

f (-2)=5×-2+4

= -10+4

= -6

f (3)=5×3+4

=15+4

=19

f (5)=5×5+4

25+4

=29

7 0
3 years ago
Show All Work
Angelina_Jolie [31]
The unit rate you're trying to find is pages per day(or p/d), so the equation needs to have both a unit for pages and for days.
The equation we have is:
5,249 = 29d
If they read 5,249 <em>pages</em>, then we can include the unit for pages in the equation.
Since we also know that <em>d</em> is the number of days it took, you can replace <em>d</em> with days.
The equation becomes:
5,249\ pages=29*(x\days)
Now that we have one variable, we can solve for <em>p/d</em>:
\frac{5,249\ pages}{29}=x\ days\\\\181 = x
Thus it took them 181 days to read it all.

If Johnny read 5,249 pages over 181 days and the unit rate is pages per day(p/d), then the equation for finding <em>p/d</em> is:
\frac{p\ pages}{d\ days}=\frac{5,249\ pages}{181\ days}=\frac{29\ pages}{1\ day}\\\\29\ \frac{pages}{day}
Johnny read 29 pages per day.
8 0
3 years ago
Claire accepted a new job at a company with a contract guaranteeing annual raises. Let S
TiliK225 [7]

Answer:

6 years

Step-by-step explanation:

First, you need to write an equation for this problem. I'll write it in slope intercept:

y = mx + b

where m is the slope and b is the y-intercept

To find m, do (change in y/change in x):

using (2, 59000) and (5, 72500),

(72500 - 59000) / (5 - 2)

= 13500 / 3

= 4500

So we have y = 4500x + b

To find b, plug in one of the points into the equation with the slope:

using (2, 59000),

y = 4500x + b

59000 = 4500(2) + b

59000 = 9000 + b

50000 = b

So now you have an equation: y = 4500x + 50000. Now that there is an equation, just insert the given y-value and solve:

when y = 77000

y = 4500n + 50000

= 77000 = 4500x + 50000

= 27000 = 4500x

= 6 = x

So, when Claire's Salary is 77000, her number of years at the company is 6.

6 0
3 years ago
The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho
mestny [16]

30 ounces of the coffee John likes consists of

  • 0.96\cdot30=28.8 ounces of water
  • 0.04\cdot30=1.2 ounces of cocoa

To this mixture we're adding x ounces of water, so that the new mix has a total volume of 30+x ounces and matches the composition of the coffee Lily likes. This means it would consist of

  • 0.973\cdot(30+x)=28.8+x ounces of water
  • 0.027\cdot(30+x)=1.2 ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for x:

0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x

\implies0.39=0.027x

\implies x\approx14.4

###

Just to confirm: the new mixture consists of

  • 28.8+14.4=43.2 ounces of water
  • 1.2+0=1.2 ounces of cocoa

giving a total volume of 43.2+1.2=44.4 ounces of coffee, and \dfrac{43.2}{44.4}\approx0.973, as required.

4 0
3 years ago
Other questions:
  • The sum of two numbers is 55 and the difference is 1 . What are the numbers?
    5·1 answer
  • WOUIIDU<br> Round the following<br> numbers to the nearest 10.<br> 296 →<br> 814 →<br> 56 4 →
    11·1 answer
  • What is the range of the function g for the given domain?<br> g(x) = 2x - 5<br> D = (-2, 0, 2, 4)
    12·2 answers
  • If a+b=−2a + b = -2a+b=−2a+b= -2 and x+y =−2 what is 4x+5a+4y+5b?
    11·1 answer
  • The sum of twice a number and<br> 9 is -25 how do i translate the expression
    15·1 answer
  • Jessica is walking home from a friend's house after 2 minutes she is 1.6 miles from home 8 minutes after leaving she is 1.1 mile
    7·1 answer
  • C=50+12h how can i solve this
    7·1 answer
  • Simplify :<br> 26-10/2x5+3
    10·2 answers
  • The lengths of the sides of a triangle are 6, 8, and 10.
    11·1 answer
  • Easy one - giving brainly if correct!​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!