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
Alisiya [41]
3 years ago
8

Solve for k 5/8(3k+1)-1/4(7k+2)=1

Mathematics
1 answer:
lesya [120]3 years ago
3 0

Answer:

<h2>k = 7</h2>

Step-by-step explanation:

\dfrac{5}{8}(3k+1)-\dfrac{1}{4}(7k+2)=1\qquad\text{multiply both sides by 8}\\\\8\!\!\!\!\diagup^1\cdot\dfrac{5}{8\!\!\!\!\diagup_1}(3k+1)-8\!\!\!\!\diagup^2\cdot\dfrac{1}{4\!\!\!\!\diagup_1}(7k+2)=8\cdot1\\\\5(3k+1)-2(7k+2)=8\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(5)(3k)+(5)(1)+(-2)(7k)+(-2)(2)=8\\\\15k+5-14k-4=8\qquad\text{combine like terms}\\\\(15k-14k)+(5-4)=8\\\\k+1=8\qquad\text{subtract 1 from both sides}\\\\k=7

You might be interested in
<img src="https://tex.z-dn.net/?f=5x%20-%20y%20%3D%206" id="TexFormula1" title="5x - y = 6" alt="5x - y = 6" align="absmiddle" c
kipiarov [429]

Answer:

x = y/5 + 6/5

Step-by-step explanation:

Solve for x:

5 x - y = 6

Add y to both sides:

5 x = y + 6

Divide both sides by 5:

Answer:  x = y/5 + 6/5

7 0
3 years ago
Anyone?????????????????
k0ka [10]
X < 6

circle not highlighted
6 0
3 years ago
Read 2 more answers
The average amount that a college student spends on a textbook is $205. What is the probability that a students spends between $
garri49 [273]

Complete question :

The average amount that a college student spends on a textbook is $205 with a

standard deviation of $35. What is the probability that a student spends:

A. between $10 and $310?

Answer:

0.999

Step-by-step explanation:

Mean, m = 205 ; Standard deviation, s = 35

Z = (x - m) / s

x = 310

Z = (310 - 205) / 35 = 3

P(z < 3) = 0.99865

x = 10

Z = (10 - 205) / 35 = - 5.57

P(Z < - 5.5)

P(z < 3) - P(z < - 5.5)

0.99865 - 0

= 0.999

5 0
3 years ago
HELP ME PLEASE I"M FAILING
astra-53 [7]

Answer:

VX = 4n +7

explanation:

the equation is VX = n + 7 + 3n, all you need to do is add the n variables and get VX = 4n + 7.

3 0
2 years ago
Read 2 more answers
Find the area of the parallelogram shown below.<br> 5<br> 4<br> square units
alina1380 [7]
Length times width and that will get you an answer
6 0
2 years ago
Other questions:
  • Jerry's geoometry teacher drew a triangle with angles that measured 120°, 34°, and 26°. What can Jerry classify the triangle as?
    5·1 answer
  • |x| + |y|<br> Evaluate the expression if x = 16 and y = 13.
    14·2 answers
  • What is the value of expression below? 7/2-4.5x3+8
    12·1 answer
  • Which of the following is the most likely end for a star that formed from an extremely large nebula? (2 points)
    15·2 answers
  • Ayudaaaaaaaaa es urgente
    14·1 answer
  • What is the constant of proportionality in the equation x/y=2/9
    5·2 answers
  • -1/13-10/39 in lowest terms
    6·1 answer
  • At what value of x does the graph of the follow function F(x) have a vertical asymptote?
    11·1 answer
  • The graph and table below show two linear functions. The graph shows function f and table shows function g.
    8·1 answer
  • The value of y varies directly with x, and y = 18 when x = 12. Find y when x = 60.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!