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-Dominant- [34]
3 years ago
11

4 times an even integer is 30 less than 5 times the next consecutive even integer

Mathematics
2 answers:
natita [175]3 years ago
6 0
4x = 5(x+2) -30
4x = 5x + 10 - 30
4x = 5x - 20
-x = -20
x = 20
Aleonysh [2.5K]3 years ago
4 0
4n = 5(n+2) -30

4n = 5n -20

n = 20
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The sum of the interior angles of a polygon is 1080 degrees. How many sides does the polygon have?
postnew [5]

9514 1404 393

Answer:

  8

Step-by-step explanation:

The formula for the number of degrees in the sum of the interior angles of an n-sided polygon is ...

  sum of angles = 180°(n -2)

Filling in the given value and solving for n, we get ...

  1080 = 180(n -2)

  6 = n -2 . . . . . . divide by 180

  8 = n . . . . . . . . add 2

The polygon has 8 sides.

4 0
3 years ago
Perrin uses 24 ounces of milk in a recipe. How many cups is 24 ounces?
Ann [662]
1 cup= 8 ounces
 
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5 0
3 years ago
Read 2 more answers
I think it is 15 but I want to see what you guys get and break it down please because sometimes people will say what they got an
zhenek [66]

Answer:

10 + 10 + 10 = 30

5 + 5 + 10 = 20

4 + 4 + 5 = 13

5 + 19 x 2 = 43

Step-by-step explanation:

Pair of shoes = 10

Boy = 5

2 snow cones = 4

One shoe = 5

boy + 2 snow cones + a pair of shoes (his feet) x one snow cone = 43

I really hope this helps!

6 0
3 years ago
Read 2 more answers
A certain circle can be represented by the following equation. x^2+y^2+6y-72=0 What is the center of this circle ?
jek_recluse [69]

Answer:

(0, -3)

Step-by-step explanation:

Here we'll rewrite x^2+y^2+6y-72=0 using "completing the square."

Rearranging x^2+y^2+6y-72=0, we get  x^2 + y^2 + 6y                = 72.

x^2 is already a perfect square.  Focus on rewriting y^2 + 6y as the square of a binomial:  y^2 + 6y becomes a perfect square if we add 9 and then subtract 9:

x^2 + y^2 + 6y + 9  - 9              = 72:

x^2 + (y + 3)^2 = 81

Comparing this to the standard equation of a circle with center at (h, k) and radius r,

(x - h)^2 + (y - k)^2 = r^2.  Then h = 0, k = -3 and r = 9.

The center of the circle is (h, k), or (0, -3).

8 0
3 years ago
PLEASE AM BEGGINNN YOUUUUU
Vikentia [17]

Answer:

Step-by-step explanation:

<em>A)</em>

<em>A - the population after its decrease </em>

<em>x - the number of years in which there has been a decrease in population</em>

<em>Hence,</em>

<em></em>\displaystyle\\A=30000-475x\\A+475x=30000-475x+475x\\A+475x=30000\\A+475x-A=30000-A\\475x=30000-A

<em>Divide both parts of the equation by 475:</em>

<em></em>\displaystyle\\x=\frac{30000-A}{475}

<em>B)</em>

<em></em>\displaystyle\\x=\frac{30000-24300}{475} \\\\x=\frac{5700}{475}\\\\x=\frac{12*475}{475}  \\\\x=12\ years

3 0
2 years ago
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