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Tpy6a [65]
3 years ago
13

4n -6 = 10n Simplify.

Mathematics
2 answers:
pentagon [3]3 years ago
8 0

-----------------------------------------------------------------------------------------------------------------

<em>Answer: </em><u>n = -1</u>

-----------------------------------------------------------------------------------------------------------------

add 6 to both sides of the equation.

4n − 6 = 10n

4n − 6 + 6 = 10n + 6

-----------------------------------------------------------------------------------------------------------------

simplify.

<em>(add the numbers)</em>

4n − 6 + 6 = 10n + 6

4n = 10n + 6

4n = 10n + 6

-----------------------------------------------------------------------------------------------------------------

subtract 10n from both sides.

4n − 10n = 10n + 6 − 10n

-----------------------------------------------------------------------------------------------------------------

simplify. (again)

<em>(combine like terms)                                          (combine like terms)</em>

4n − 10n = 10n + 6 − 10n<em>                                 </em>   −6n = 10n + 6 − 10n

−6n = 6

-----------------------------------------------------------------------------------------------------------------

divide both sides by the same term.

−6n/−6 = 6/-6

n = 6/−6n = 6/−6

-----------------------------------------------------------------------------------------------------------------

simplify. <em>(again)</em>

<em></em>

<em>(cancel terms that are in both the numerator and denominator)</em>

<em />

n = 6/−6

<em>(divide the numbers)</em>

<em />

n = 6/−6

<u>n = 1</u>

-----------------------------------------------------------------------------------------------------------------

ruslelena [56]3 years ago
6 0

Answer:

n= -1

Step-by-step explanation:

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the following numarically ordered sequence has a mean of 17 and a median of 18 given the data values 7,a,12,15,17,b,20,22,24,25
olga_2 [115]

Answer:

a=9 b=18

Step by-step explanation:

First we will find b.

Because there is no 18 in this set and it's an even set of numbers, this would mean that 18 is not present in the set.

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a has to be a number ranging  from 7-12.

Through trial and error, it can be found that the missing value of a is 9.

Hope this helps!

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3 years ago
Evaluate the expression 120n + 160,500 when n= 32.<br> n=______
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jose buys a new moped. he travels 3km south and then 4 km east. how far does he need to go get back to where he started
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In order to calculate for the distance that Jose needs to cover to go back to where he started, just use the concept of Pythagorean theorem. First illustrate the given in triangular form. The missing side is the distance covered by Jose. To calculate for the side just get the sum of the square of the two number and then get the square root of the answer. The answer would be 5 km northwest. 

5 0
3 years ago
Transforma in metri:
s2008m [1.1K]

Answer:

a) 70 m

b) 35 m

c) 57 m

d) 500 m

e) 7.5 m

f) 57 m

Step-by-step explanation:

10 dm = 100 cm = 1 m.

1 dam = 10 m

1 km = 1000 m

100 cm = m

Correct ☑ ✔ Question :-

Transform in metre

a) 7 dam

b) 350 dm

c) 57000 mm

d) 0.5 km

e) 750 cm

f) 5.7 dam

<h3>Solution ✔</h3>

a) 7 dam

1 dam = 10 m

so, 7 dam = 7 × 10 m = 70 m

b) 350 dm

10 dm = 1 m

so, 350 dm = 350/10 = 35 m

c) 57000 mm

1000 mm = 1 m

so, 57000mm = 57000/1000 = 57 m

d) 0.5 km

1 km = 1000 m

0.5 km = 1000 × 0.5 = 500 m

e) 750 cm

100 cm = 1 m

750 cm = 750/ 100 = 7.5 m

f) 5.7 dam

1 dam = 10 .

5.7 dam = 5.7 × 10 = 57 m

7 0
3 years ago
Suppose that 40 deer are introduced in a protected wilderness area. The population of the herd
Scorpion4ik [409]

The horizontal asymptote of the function is the minimum number of deer in the area.

  • The equation of horizontal asymptote is: \mathbf{y = 40}
  • The horizontal asymptote means that, the number of deer will never be less than 40

The equation is given as:

\mathbf{f(x) = \frac{40 + 2x}{1 + 0.05x}}

Expand the numerator

\mathbf{f(x) = \frac{40(1 + 0.05x)}{1 + 0.05x}}

Cancel out the common factor

\mathbf{f(x) = 40}

Hence, the equation of horizontal asymptote is:

\mathbf{y = 40}

The horizontal asymptote means that, the number of deer will never be less than 40

Read more about horizontal asymptotes at:

brainly.com/question/4084552

8 0
3 years ago
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