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arlik [135]
3 years ago
14

3(n-2)=9(6–n) what is n ?

Mathematics
2 answers:
egoroff_w [7]3 years ago
5 0

Answer:N=5

Step-by-step explanation:

3n-6=54-9n

+9n       +9n

12n-6=54

     +6  +6

12n=60

/12   /12

N=5

Vera_Pavlovna [14]3 years ago
4 0

Answer:

n = 5

Step-by-step explanation:

Given

3( n - 2) = 9 ( 6 - n)

3n - 6 = 54 - 9n

3 n + 9n = 54 + 6

12n = 60

n = 60/ 12

n = 5

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Abby sold half of her comic books and then bought seventeen more. She now has 32. With how many did she begin?
Art [367]

Answer:

15 because 32 - 17 = 15

Step-by-step explanation:

3 0
3 years ago
If 3m = 19 - n and 2m + 5n = 30, then what is the value of m?
nexus9112 [7]

Answer:

m=5

Step-by-step explanation:

We can solve this by using a system of equations. The easiest way to solve this is by using substitution.

3m=19-n       Subtract both sides by 19 to find n.

<u>-19  -19</u>

3m-19=-n      Divide everything by -1 to make n positive.

<u>/-1        /-1</u>

n=-3m+19

Now, we can substitute n into the second equation.

2m+5(-3m+19)=30    Substitute (-3m+19) into n.

2m-15m+95=30       Simplify.

-13m+95=30              Simplify and subtract both sides by 95.

        <u>-95 -95</u>

-13m=-65                    Divide both sides by -13.

<u>/-13    /-13</u>

m=5

We don't need to solve for n at all, so that is the answer!

Hope this helps, and have an amazing day ♥

8 0
3 years ago
Find the distance between 2 and -2<br><br> A. -6<br> B -4 <br> C. 0<br> D. 4
tangare [24]

Answer:

b) -4

Step-by-step explanation:

Well your at 2 and going to -2 so on a number line you be going back or left.

Going two left gets you to zero and going two more get you -2. So in total you went back four and that be represented as -4.

5 0
3 years ago
Dave’s Automatic Door, referred to in Exercise 29, installs automatic garage door openers. Based on a sample, following are the
HACTEHA [7]

The question is not complete and the full question says;

Calculate the (a) range, (b) arithmetic mean, (c) mean deviation, and (d) interpret the values. Dave’s Automatic Door installs automatic garage door openers. The following list indicates the number of minutes needed to install a sample of 10 door openers: 28, 32, 24, 46, 44, 40, 54, 38, 32, and 42.

Answer:

A) Range = 30 minutes

B) Mean = 38

C) Mean Deviation = 7.2

D) This is well written in the explanation.

Step-by-step explanation:

A) In statistics, Range = Largest value - Smallest value. From the question, the highest time is 54 minutes while the smallest time is 24 minutes.

Thus; Range = 54 - 24 = 30 minutes

B) In statistics,

Mean = Σx/n

Where n is the number of times occurring and Σx is the sum of all the times occurring

Thus,

Σx = 28 + 32 + 24 + 46 + 44 + 40 + 54 + 38 + 32 + 42 = 380

n = 10

Thus, Mean(x') = 380/10 = 38

C) Mean deviation is given as;

M.D = [Σ(x-x')]/n

Thus, Σ(x-x') = (28-38) + (32-38) + (24-38) + (46-38) + (44-38) + (40-38) + (54-38) + (38-38) + (32-38) + (42-38) = 72

So, M.D = 72/10 = 7.2

D) The range of the times is 30 minutes.

The average time required to open one door is 38 minutes.

The number of minutes the time deviates on average from the mean of 38 minutes is 7.2 minutes

4 0
3 years ago
Help asap i think im doing it wrong
Misha Larkins [42]
Part 1.
A. x=0 can be used for function that have x≤1, so f(x) =x²
B.You need substitute x by 0. x=0,
then

f(0) = 1) x² =0² =0      x≤1 
         
Part 2.
A. f(x) =x², Graph is attached. 
B. f(x) =2x+1, Graph is attached.
C. The functions will change in the point x=1
For f(x) =x² , x ≤1 ; f(1) = 1. The point (1,1) is included, the dot should be filled (closed).
For the function f(x)=2x+1, x>1. The point  f(1)=3 is not included, the dot should be empty(open).
D. Point(1,1) is closed(filled circle), point (1,3) is open(empty circle).

4 0
4 years ago
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