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Mashutka [201]
3 years ago
11

Solve the unknown variable: 5k/16 +2k/12 = (-25+k)/24

Mathematics
2 answers:
zvonat [6]3 years ago
8 0
5k/16+2k/12=(-25+k)/24
find common denomenator so we can cancel them
find GCM of 16,12, and 24

16=2*2*2*2
12=2*2*3
24=2*2*2*3
GCM=2*2*2*2*3=48

multiply everybody by 48

3(5k)+4(2k)=2(-25+k)
distribute
15k+8k=-50+2k
add like terms
23k=-50+2k
subtract 2k
21k=-50
divie both sides by 21
k=-50/21
k=-2 and 4/25
Goryan [66]3 years ago
6 0
Hello. (60k+32k)/192=(-25+k)/24 ; 92k/192=(-25+k)/24 ; 92k×24=192×(-25+k)/24 ; 2208k= -4800+192k ; 2208k-192k= -4800 ; 2016k= -4800 ; k= -4800/2016 ; k= -2,38. I hope to have helped you.
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For the problem below, θ is a central angle in a circle of a radius r. Find the length of arc s cut off by θ.
mixas84 [53]

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if the radius is r and the arc is 2r, the angle in radians will be equal to:

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I believe this will explain what is actually happening in these type of questions

So, the equation:

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π/4 = s / 12

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4 0
3 years ago
From 5 employees at a company, a group of 3 employees will be chosen to work on a project. How many different groups of 3 employ
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Hello,

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If we name the number of the employers 1,2,3,4,5

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8 0
3 years ago
Read 2 more answers
An engineer deposits $2,000 per month for four years at a rate of 24% per year, compounded semi-annually. How much will he be ab
Alex17521 [72]

The amount of money he will be able to withdraw after 10 years after his last deposit is $926,400.

<h3>Compound interest</h3>

  • Principal, P = $2,000 × 12 × 4

= $96,000

  • Time, t = 10 years
  • Interest rate, r = 24% = 0.24
  • Number of periods, n = 2

A = P(1 + r/n)^nt

= $96,000( 1 + 0.24/2)^(2×10)

= 96,000 (1 + 0.12)^20

= 96,000(1.12)^20

= 96,000(9.65)

= $926,400

Therefore, the amount of money he will be able to withdraw after 10 years after his last deposit is $926,400

Learn more about compound interest:

brainly.com/question/24924853

#SPJ4

5 0
2 years ago
Find the exact area of an equilateral triangle if the length of one side is 40
VARVARA [1.3K]
Equilateral triangle is a triangle with the 3 sides of the same length, and the 3 angles with the same measures/degree.
The formula to find the area of a triangle is base x height/2 , you do have the base (40), but you need the height. To find the height of an equilateral triangle you use the formula: side/2 x radical3, this way u'll find the height and therefor can calculate the area of the triangle.
Hope that helped :)
8 0
3 years ago
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