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solmaris [256]
3 years ago
7

Solve the following equation for N 1/5 (N+3)+4=3/10 (2N-2) n = ________

Mathematics
1 answer:
postnew [5]3 years ago
8 0

Answer:

n = 13

Step-by-step explanation:

1/5(n + 3) + 4 = 3/10(2n - 2)

~Simplify both sides

1/5n + 3/5 + 4 = 3/5n - 3/5

~Combine like terms

1/5n + 23/5 = 3/5n - 3/5

~Subtract 23/5 to both sides

1/5n = 3/5n - 26/5

~Multiply 5 to both sides

n = 3n - 26

~Subtract 3n to both sides

-2n = -26

~Divide -2 to both sides

n = 13

Best of Luck!

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janis and susan went to a clearance sale at a clothing store all blouses were selling for the same price and all skirts were sel
alexandr402 [8]
$8.5, \frac{68}{8} = 8.5
5 0
3 years ago
What is the measure of z?
Ymorist [56]

Solving a system of linear equations, we conclude that the measure of side Z is 2√13

<h3>How to find the measure of side Z?</h3>

Remember the Pythagorean theorem. It says that the square of the hypotenuse is equal to the sum of the squares of the legs.

In the image, we can identify 3 right triangles, and with the Pythagorean theorem, we can write a system of 3 equations.

x^2 = y^2 + 4^2

z^2 = y^2 + 9^2

(4 + 9)^2 = z^2 + x^2

We want to solve that for z.

Now, the second equation can be rewritten to:

y^2 = z^2 - 9^2

Now let's replace the first equation into the third one, so we get:

(4 + 9)^2 = z^2 + (y^2 + 4^2)

Now we can replace y^2 by z^2 - 9^2

(4 + 9)^2 = z^2 + ((z^2 - 9^2) + 4^2)

Now we can solve this:

(13)^2 = z^2 + z^2 - 9^2 + 4^2

(13)^2 + 9^2 - 4^2 = 2*z^2

104/2 = z^2

52 = z^2

√52 = z

√(4*13) = z

√4*√13 = z

2√13 = z

We conclude that the measure of side Z is 2√13

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

8 0
1 year ago
Gilbert and Brian drove 604 miles in 11.6 hours. Gilbert drove the first part of the trip and averaged 45 miles per hour. Brian
AVprozaik [17]

The length of hours Gilbert drove is 7.5 hours.

The length of hours Brian drove is 4.1 hours.

<u>Step-by-step explanation</u>:

  • Gilbert averaged = 45 miles per hour
  • Brain averaged = 65 miles per hour
  • Total hours = 11.6 hours
  • Total distance = 604 miles

Let 'x' be the hours Gilbert drove.

Let 'y' be the hours Brian drove.

x+y = 11.6  -----(1)

45x+65y = 604 -----(2)

Multiply (1) by 45 and subtract (2) from (1)

 45x+45y = 522

-(<u>45x+65y = 604</u>)

 <u>      -20y = -82 </u>

y = 82/20

y = 4.1 hours

The length of hours Brian drove = 4.1 hours

Substitute y=4.1 in (1)

x+4.1 = 11.6

x = 7.5 hours

The length of hours Gilbert drove = 7.5 hours

3 0
3 years ago
4x+y=17
faltersainse [42]

Answer:

x=4

y=1

Step-by-step explanation:

4x=7y+9

4x+y=17

7y+9+y=17

8y=17-9

8y=8

y=1

so

4x=7*1+9

4x=16

x=16/4

x=4

4 0
2 years ago
PLEASE HELP ASAP!!!
Elan Coil [88]

Answer:

The number is 5

Step-by-step explanation:

6+3n = 5n-4

Subtract 3n from each side

6+3n-3n = 5n-3n-4

6 = 2n-4

Add 4 to each side

6+4 = 2n-4+4

10= 2n

Divide by 2

10/2 =2n/2

5=n

6 0
3 years ago
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