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
oee [108]
4 years ago
6

Combine like terms to simplify the expression: {\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k} 5 2 ​ k− 5 3 ​ + 10 1 ​ kstart fraction,

2, divided by, 5, end fraction, k, minus, start fraction, 3, divided by, 5, end fraction, plus, start fraction, 1, divided by, 10, end fraction, k
Mathematics
1 answer:
Fed [463]4 years ago
7 0

Given:

The expression is

{\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k}

To find:

The simplified form of given expression.

Solution:

We have,

{\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k}

On combining like terms, we get

=\left(\dfrac{2}{5}k+\dfrac{1}{10}k\right)-\dfrac{3}{5}

Taking LCM in the parenthesis, we get

=\left(\dfrac{4k+k}{10}\right)-\dfrac{3}{5}

=\left(\dfrac{5k}{10}\right)-\dfrac{3}{5}

=\dfrac{k}{2}-\dfrac{3}{5}

Therefore, the simplified form of the given expression is \dfrac{k}{2}-\dfrac{3}{5}.

You might be interested in
Which two operations are needed to write the expression that represents "four times the difference of a number and
Ket [755]
It would be multiplication and subtraction
4(x-3)
four times
( the difference of a number “x” and three)
difference means subtraction every time.
8 0
3 years ago
Read 2 more answers
Im begging could anyone please teach me thissss
Angelina_Jolie [31]
I assume your "reasons" mean "roots" or "zeros"
if 3 is a root, plug x=3 in the equation, you can find n:
3²+(n-1)*3+6=0
3(n-1)=-15
n-1=-5
n=-4

Plug n=-4 in the original equation: x²-5x+6=0
factor: (x-3)(x-2)=0
x=3, which we already know
or x=2, which is the value of m+4
m+4=2
m=-2
5 0
4 years ago
A race car has a top speed of 330 km/hr. What speed is that in miles/sec?
maksim [4K]
The answer is B) 0.057

4 0
4 years ago
What is the ninth term of the geometric sequence 81, 27, 9, 3, ... ?
Dominik [7]

Answer:

59049

Step-by-step explanation:

I calculated it and got 59049

8 0
3 years ago
Read 2 more answers
If f(x)=4x^3+16x^2-23x-15 and f(−5)=0, then find all of the zeros of f(x) algebraically.
juin [17]

Answer:

4x^3+16x^2-23x-15 = (x+5)×(x+1/2)×(x-1.5)

so zeroes are at: -5, -1/2, and 1.5

6 0
3 years ago
Other questions:
  • in one year Orlando receive 62.51 inches of rain in September the city received 25% of that rainfall about how much rain did Orl
    6·1 answer
  • Choose 3 values that would make this inequality true. n - 3 ≤ 10
    15·2 answers
  • Sketch the asymptotes and graph the function y=6/(x-2)+4
    11·2 answers
  • What expression is equivalent to 2(a+2b)-a-2b
    7·1 answer
  • Mike wants to make tarts. To make tarts, he needs 2 1/5 cups of flour per batch of tarts. If mike has 11 cups of flour, then how
    5·1 answer
  • PLEASE HELP ASAP!!!!!!!!!!!
    6·1 answer
  • (2, 4)
    13·1 answer
  • Use a mutiplication strategy to solve 12x12.
    9·2 answers
  • There are 42 female performers in a dance recital. The ratio of men to women is 2:3. How many men are in the dance recital
    14·1 answer
  • Write the slope intercept form <br><br><br>slope=-3/4 y-intercept=-1​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!