Answer:
i) <em><u>3</u></em><em><u>5</u></em><em><u>C</u></em><em><u>1</u></em><em><u>7</u></em>
<em><u>ii</u></em><em><u>)</u></em><em><u>31116960</u></em>
Step-by-step explanation:
i)total number of eligible are 35
now ways of chosing 17 from 35 is 35C17,
ii)Total ways of selecting 2 seniors from 7 is 7C2
and Total ways of selecting 6 juniors from 8 is 8C6
ways of selecting 4 sopho from 10 is 10C4
ways of selecting 5 freshman from 10 is 10C5
now, total way of selection come to be
10C5×10C4×8C6×7C2
i.e,252×210×28×21
i.e, 31116960
✌️:)
Answer:
200 miles
Step-by-step explanation:
First, set up the equations.
plan 1: initial fee of $55.96, $0.12 per mile
plan 2: initial fee of $63.96, $0.08 per mile
We want to know at what distance will the cost be the same. So, set the equations equal to each other.
0.12x + 55.96 = 0.08x + 63.96
Combine the variables.
0.04x + 55.96 = 63.96
Combine the constants.
0.04x = 8
Divide by 0.04 to isolate x.
x = 200 miles
Check by plugging x back into each equation.
y = 0.12(200) + 55.96
y = 24 + 55.96
y = $79.96
y = 0.08(200) + 63.96
y = 16 + 63.96
y = $79.96
You are correct!
Answer:
<h3>18°</h3>
Step-by-step explanation:
See the diagram attached:
In a triangle, the sum of interior angles is equal to the exterior angle.
According the diagram, the sum of interior angles is given as:
Sum of interior = <FDE+<DEF
Given
<FDE = 2x+4
<DEF = 3x+5
Sum of interior = 2x+4+3x+5
Sum of interior = 5x+9
Exterior angle = <EFG = 7x-5
Equate the interior to the exterior and calculate the value of x:
5x+9 = 7x-5
Collect like terms
5x-7x = -5-9
-2x = -14
x = -14/-2
x = 7
Next is to get <FDE:
<FDE = 2x+4
<FDE = 2(7)+4
<FDE = 14+4
<FDE = 18°
Hence the measure of <FDE is 18°
Answer:
-132
Step-by-step explanation:
hope it helps you out
Hiya!
So, 6 billion is 100%. 50% is 3 billion. 25% is 1.5 billion. 20% must be 1.2 billion because 1.2 × 5 is 6. I know that 20% is 1/5 of 100%, and that's how I got my answer.
If you found this especially helpful, I'd appreciate if you'd vote me Brainliest for your answer, if other people did not provide a helpful answer (but, I'm sure they did!). I want to be able to assist more users one-on-one! :)
