Answer: The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- <em>Number of boys added: 18
</em>
- <em>Ratio of boys to girls: 5:4
</em>
So, the total number of boys is:
x + 18
Number of girls = y
Number of boys / number of girls = 5/4
(x+18) /y = 5/4
Solving for "y"
4 (x +18) =5 y
4x +72 = 5y
(4x +72) /5 = y
The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5
Answer: ∠DOB: 48°
Step-by-step explanation:
1. we need an equation first. the sum of all angles (108°, n°, 2n°) is equal to 180°. we can depict this with the equation: 108°+2n°+n°=180°
2. now we can solve for the missing variable, n.
108°+3n°=180° → subtract both sides by → 3n°=72° → divide both sides by 3 → n=24°
3. now that we know that n=24°, we can solve the value of ∠DOB. we can see that ∠DOB is 2n° which we just plug the number we got for n into the equation. 2*24=48° meaning ∠DOB is 48°
hope this heped! ♡
Answer:
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given function : 4x³ + ln(y²) + 2y = 2x
on differentiating both sides with respect to 'x', we get

or

or

or

or

or

or

Answer:
See below ~
Step-by-step explanation:
<u>Finding x</u>
- 2x - 28 = x/2
- 3/2x = 28
- 3x = 56
- x = 56/3 = 18.66666667
- The exact side length of the small square is <u>18.66666667 cm</u> and the exact side length of the big square is <u>37.3333334 cm</u>.
- The approximate side length of the small square is <u>18.7 cm</u> and the approximate side length of the big square is <u>37.3 cm</u>.