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enot [183]
2 years ago
11

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The first term of an arithmetic sequence is 1 and the sum of the first four terms is 100. Find the first four terms​
Mathematics
1 answer:
slamgirl [31]2 years ago
6 0

First term f = 1

If first four terms are f, f + d, f + 2d, f + 3d

f + f + d + f + 2d + f + 3d = 100

4f + 6d = 100 (divided by 2 , both sides )

2f + 3d = 50

2 + 3d = 50

3d = 50 – 2

3d = 48

d = 48/3

d = 16

The arithmetic sequence is 1, 17, 33, 49, ………….

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If the Alpha company is 79% staffed and the Beta company is only 62% staffed, what is the relative change of staffing from the A
sweet [91]

Answer:

27.41%

Step-by-step explanation:

Data provided in the question

The staffed of Alpha company = 79%

The staffed of Beta company = 62%

Based on the above information, the relative change of staffing from Alpha to beta company is

As we know that

\bold {\ Relative \ change = \frac{\alpha- \beta }{\beta }}

= \frac{(79 -62)}{62} \% \\\\= \frac{17}{62} \times 100\\\\=0.2741 \times 100\\\\=27.41\ \%

By applying the above formula we can get the relative change and the same is to be applied so that the correct percentage could come

5 0
3 years ago
A 7 sided polygon has a area of 70in and a perpendicular distance of 5in what is the perimeter?
lesantik [10]

Answer:

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve for x. Show each step of the solution. Show all work. 4.5(8-x)+36-2.5(3x+24)=102
sergejj [24]

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

36 - 4.5x + 36 = 102 - 7.5x - 60

72 - 4.5x = 42 - 7.5x

-4.5x + 7.5x = 42 - 72

3x = - 30

x = -30/3

x = -10 <===

Hope this helps!

4 0
3 years ago
The following triangle is equilateral triangle. Solve for the<br> unknown variable.<br> у<br> 17
Yuri [45]

Answer:

The following triangle is equilateral triangle. Solve for the

unknown variable. y=17 is the answer

7 0
3 years ago
The perimeter of the rectangle below is 84 unit . Find the length side of XY
lesya [120]

Answer:

25 unit

Step-by-step explanation:

See attachment for the missing figure.

Assuming the complete question is:

Side UY = 4z-1  

Side UV = 5z+3  

Perimeter of rectangle is given by:

2UY+2UV=P

2(4z-1)+2(5z+3)=84

8z-2+10z+6=84

18z+4=84

18z = 84 -4 =>

18z = 80

z= 4.45 unit

Side UV = 5z+3 => 5(4.45) + 3

Side UV ≈ 25 unit

SInce, Side UV = Side XY

Side XY≈ 25 unit

5 0
3 years ago
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