Answer:
Let x represent the number from the sentence.
Step-by-step explanation:
2(x) + 2(1/x) = 20/3
2x + 2/x = 20/3
multiply both sides of the equation by 3x
6x + 6 = 20x
6x - 20x + 6 = 0
6x - 18x - 2x + 6 = 0
6x(x-3 -2(x-3) = 0
(6x-2 = 0 or x-3 = 0
6x = 2 or x = 3
x = 2/6
x = 1/3
Since x represented the number
Therefore x = 1/3 or 3
Answer:
<em>Each classroom received 120 gifts and the hospital received 12 gifts</em>
Step-by-step explanation:
<u>Division As Evenly Distribution</u>
The first concept we manage when learning about divisions is how to distribute an amount N among m elements such as everyone receives the same amount.
If the nature of the problem allows distributing decimal portions of N, then every receiver gets exactly the same amount N/m.
But things are different when the division must be an integer number. For example, if we wanted to divide gifts, we cannot give partial gifts. So the correct division is a matter of the study of integer numbers.
If N is divisible by m, i.e. there is no remainder in the division, then each element will receive N/m gifts. But what if they are not divisible? We must divide and take the integer part of the division and discard the remainder
We want to divide 2,292 gifts to the school, where there are 19 classrooms. If we divide 2,292/19 we get 120 and a remainder of 12.
Answer. Each classroom received 120 gifts and the hospital received 12 gifts
Answer:
option C
c.
least: $101
greatest: $1001
Step-by-step explanation:
A radio station advertises a contest with ten cash prizes totaling $5510. There is to be a $100 difference between each successive prize.
Sum of 10 prizes = 5510
100 is the difference. there is a common difference d=100
So its a arithmetic sequence
the sum formula for arithmetic sequence is

Sn = 5510, n=10 n d= 100 we need to find out first term a1

5510 = 5 (2a1 + 900)
5510 = 10a1 + 4500
Subtract 4500 on both sides
1010= 10a1
divide by 10 on both sides
a1 = 101
so first term that is least term is 101
To find out greatest term we use formula

a(10) = 101 + (10-1)100
= 101 + 900= 1001
greatest is 1001
Answer: See Below
<u>Step-by-step explanation:</u>
NOTE: You need the Unit Circle to answer these (attached)
5) cos (t) = 1
Where on the Unit Circle does cos = 1?
Answer: at 0π (0°) and all rotations of 2π (360°)
In radians: t = 0π + 2πn
In degrees: t = 0° + 360n
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Where on the Unit Circle does
<em>Hint: sin is only positive in Quadrants I and II</em>


In degrees: t = 30° + 360n and 150° + 360n
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Where on the Unit Circle does 
<em>Hint: sin and cos are only opposite signs in Quadrants II and IV</em>


In degrees: t = 120° + 360n and 300° + 360n