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Sav [38]
3 years ago
15

Lucia tried to solve the system below 2x+2y=14

Mathematics
1 answer:
Elis [28]3 years ago
6 0

move x to the other side.

2y = -2x + 14

divide by 2.

y = -x + 7

let me know if you need more help.

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A stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer. If the top laye
Svetlanka [38]

Answer:  The total number of logs in the pile is 6.

Step-by-step explanation:  Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two​ logs.

We are to find the total number of logs in the pile.

Let n represents the total number of logs in the pile.

Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with

first term, a = 32  and  common difference, d = -6.

We know that

the n-th term of an arithmetic sequence with first term a and common difference d is

a_n=a+(n-10)d.

Since there are n logs in the pile, so we get

a+(n-1)d=2\\\\\Rightarrow 32+(n-1)(-6)=2\\\\\Rightarrow 32-6n+6=2\\\\\Rightarrow 6n=36\\\\\Rightarrow n=6.

Thus, the total number of logs in the pile is 6.

6 0
3 years ago
Which is true of the standard form of the equation of the line graphed?<br><br>It is B!
daser333 [38]
B imakes the most sense so I agree it is b
5 0
3 years ago
Read 2 more answers
Find the area of an equilateral triangle using apothem length 6. PLEASE put in simplified radical form
marishachu [46]

Answer:

24√3

Step-by-step explanation:

8 0
3 years ago
Find the measure of an interior angle and exterior angle of a regular 24gon
Julli [10]

Answer:

Interior Angle: 165°

Exterior Angle: 15°

Step-by-step explanation:

So first you have to find the sum of all interior angles of a polygon with <u>24 sides</u>. This can be found using the formula:

sum = ( <em>n</em> - 2 ) * 180°     where '<em>n</em>' is the number of sides.

When '<em>n</em> = 24' then the sum is:

sum = ( 24 - 2 ) * 180°

Simplify and solve.

sum = 22 * 180°

sum = 3960°

Since there are 24 sides to the polygon, there are 24 interior angles. <u>Assuming that this polygon is equilateral</u>, you can surmise that:

<em>Interior Angle</em> = sum° / <em>n</em>   where n is the number of sides,

3960° / 24 = 165° = Interior Angle

Using that information, and combine it with the [Supplementary Angles Theorem] the exterior angle can be found by:

165° + x = 180°

Solve for x.

8 0
2 years ago
9x + бу = 36<br> Help ASAP Thanks
dangina [55]

Answer:

x=2

y=3

Step-by-step explanation:

9x2= 18, 6x3=18. 18+18=36

7 0
3 years ago
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