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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
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Answer:

The possible number of goats is 6 and the possible number of chicken is 24

Step-by-step explanation:

Let

chicken=c

Goat=g

the number of chickens could be four times the number of goats

c=4g

Total number of animals=30

c+g=30

Recall, c=4g

So,

c+g=30

4g+g=30

5g=30

Divide both sides by 5

5g/5=30/5

g=6

Recall,

c+g=30

c+6=30

c=30-6

=24

c=24

The possible number of goats is 6 and the possible number of chicken is 24 making a total of 30 animals

5 0
3 years ago
Two skaters are practicing at the same time on the same rink. A coordinate grid is superimposed on the ice. One skater follows t
myrzilka [38]

Answer:

The skaters will collide at the points;

(2,28) and (4,24)

Step-by-step explanation:

The points they might collide will be the points when both y are equal;

-2x + 32 = -2x^2 + 18x

2x^2 -18x -2x + 32 = 0

2x^2 -20x + 32 = 0

2x^2 - 16x - 4x + 32 = 0

2x(x -8) -4( x -8) = 0

(2x -4)(x -8) = 0

2x = 4 or x = 8

x = 4/2 or x = 8

hence; x = 2 or 8

Now let’s get the y value

at x = 2, just substitute into any of the 2

y = -2x + 32

y = -2(2) + 32

y = -4 + 32 = 28

at x = 4

y = -2(4) + 32

y = -8 + 32

y = 24

The points that they will collide are;

(2,28) and (4,24)

4 0
3 years ago
A polygon has an interior angle sum of 3060° how many sides must the polygon have?
AVprozaik [17]
Sum of interior angles=(n-2)180
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3060/180=n-2
17=n-2
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5 0
3 years ago
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weeeeeb [17]
3. A 4.B 5.B Very happy to help you!
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3 years ago
Which expression is equivalent to 3(m − 3) + 4?<br><br> 3m + 1<br> 3m − 5<br> 3m + 13<br> 3m − 3
Volgvan

Answer:

3m - 5

Step-by-step explanation:

3(m - 3) + 4           Distribute the 3

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2 years ago
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