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
solong [7]
3 years ago
14

Which expression shows the result of applying the distributive property to 1/4(−3n+3/2) ?

Mathematics
2 answers:
uranmaximum [27]3 years ago
5 0

Answer:

 \frac{1}{4}(-3n+\frac{3}{2}) is \frac{-6n+3}{8}      

Step-by-step explanation:

Given that: \frac{1}{4}(-3n+\frac{3}{2})                  ......[1]

The distributive property says that:

a.(b+c)=a.b+a.c

Apply distributive property on [1] we have;

=\frac{1}{4}.(-3n)+\frac{1}{4}.\frac{3}{2}    

Simplify:

=\frac{-3n}{4}+\frac{3}{8}    

=\frac{-6n+3}{8}    

Therefore, the expression that shows the result of applying the distributive property to  \frac{1}{4}(-3n+\frac{3}{2})  is  \frac{-6n+3}{8}    


marissa [1.9K]3 years ago
4 0
1/4(-3n + 3/2) =
-3/4n + 3/8
You might be interested in
Translate the phrase into a mathematical expression and then evaluate it. Four squared divided by two cubed.
elena-14-01-66 [18.8K]
As an expression, it is 4² ÷ 2<span>³. The answer to the expression is 2.</span>
7 0
2 years ago
If A(-5,7), B(-4,-5), C(-1,-6) and D(4,5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.
MrMuchimi
After plotting the quadrilateral in a Cartesian plane, you can see that it is not a particular quadrilateral. Hence, you need to divide it into two triangles. Let's take ABC and ADC.

The area of a triangle with vertices known is  given by the matrix
M = \left[\begin{array}{ccc} x_{1}&y_{1}&1\\x_{2}&y_{2}&1\\x_{3}&y_{3}&1\end{array}\right]

Area = 1/2· | det(M) |
        = 1/2· | x₁·y₂ - x₂·y₁ + x₂·y₃ - x₃·y₂ + x₃·y₁ - x₁·y₃ |
        = 1/2· | x₁·(y₂ - y₃) + x₂·(y₃ - y₁) + x₃·(y₁ - y₂) |

Therefore, the area of ABC will be:
A(ABC) = 1/2· | (-5)·(-5 - (-6)) + (-4)·(-6 - 7) + (-1)·(7 - (-5)) |
             = 1/2· | -5·(1) - 4·(-13) - 1·(12) |
             = 1/2 | 35 |
             = 35/2

Similarly, the area of ADC will be:
A(ABC) = 1/2· | (-5)·(5 - (-6)) + (4)·(-6 - 7) + (-1)·(7 - 5) |
             = 1/2· | -5·(11) + 4·(-13) - 1·(2) |
             = 1/2 | -109 |
<span>             = 109/2</span>

The total area of the quadrilateral will be the sum of the areas of the two triangles:

A(ABCD) = A(ABC) + A(ADC) 
               = 35/2 + 109/2
               = 72
8 0
3 years ago
If the area of the triangle with vertices (5,2),(x,4) and (0,3) is 25/2, find x?
Evgen [1.6K]

x=7

Pretty Simple..                                                                          h                                                        h                h                                                                                      

5 0
2 years ago
YES I Am GIVING A BRAINLIST pls be accurate
CaHeK987 [17]

Answer:

y = 5x +4

Step-by-step explanation:

x has to equal 1

y = 5(1) +4 = 9

8 0
2 years ago
Lin runs 12 laps around a track in 15 minutes.
nalin [4]

Answer:

1.25

Step-by-step explanation:

15/12

5 0
3 years ago
Other questions:
  • There were 230{,}600230,600230, comma, 600 jobs available in the field of radiology in the year 201420142014. Each year, that nu
    9·2 answers
  • Benecio worked 40 hours at his two jobs last week. He earned $20 per hour at his weekday job and $18 per hour at his weekend job
    12·1 answer
  • Which sets of numbers are closed under addition?
    13·1 answer
  • 25 points!!! Write the coordinates of the point that is shown in the equation. y + 5 = -2(x - 4)
    10·1 answer
  • 27x52 distributive property
    10·1 answer
  • 0.002191 in scientific notation
    15·2 answers
  • It’s not 15 read the text
    6·1 answer
  • Area of hexagon a.288. B48 c64
    7·1 answer
  • Both Tyrone and Albert walk to and from school every day. Qlbert has to walk 1.25 miles farther than Tyrone does each way. If Ty
    8·1 answer
  • Joan made a graph modeling her income and costs for selling x loaves of zucchini bread at the farmers' market.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!