well, the difference from 5600 to 4200 is 1400.
If we take 5600 to be the 100%, how much is 1400 off of it in percentage?
Answer:
x = 5/7
Step-by-step explanation:
4 (0.25 - 2) = x - 0.75 (16 - 8x)
1 - 8 = x - 12 + 6x
1 - 8 + 12 = x + 6x
5 = 7x
5/7 = x
Answer:
Step-by-step explanation:
<u>Volume of a cone:</u>
<u>We have:</u>
- V = 1200 cm³
- r = 6 cm
- h = ?
<u>Substitute values and solve for h:</u>
- 1200 = 1/3*3.14*6²h
- 1200 = 37.68h
- h = 1200/37.68
- h = 31.8 cm (rounded)
None of the choices is correct
Answer:
The students got 3 signatures on first day.
Step-by-step explanation:
We are given the following in the question:
The number of signatures students get each day is 3 times as many as the day before.
Thus, the number of signatures form a geometric progression with common ratio 3.
Number of signatures on sixth day = 
term in a geometric progression is given by:
where a is the first term of the series and r is the common ratio.
Thus, the first term of geometric progression is 3.
Thus, the students got 3 signatures on first day.
Answer:
See below
Step-by-step explanation:
<h3>Part A</h3>
Standard form is Ax + By = C
<u>x - price of adult tickets, y - price of child tickets, the equation in the standard form is:</u>
- 15x + 9y = 90 ⇒ 5x + 3y = 30
<h3>Part B</h3>
<u>y-intercept is obtained when x = 0</u>
- 15*0 + 9y = 90
- 9y = 90
- y = 10
It represents the amount of child tickets if no adult tickets sold
<u>x-intercept is obtained when y = 0</u>
- 15x + y*0 = 90
- 15x = 90
- x = 6
It represents the amount of adult tickets if no child tickets sold
<h3>Part C</h3>
<u>Converting the equation into slope-intercept form of y = mx + b</u>
- 5x + 3y = 30
- 3y = -5x + 30
- y = -5/3x + 30/3
- y = -5/3x + 10
<h3>Part D</h3>
- The slope is -5/3. It represents the negative ratio of ticket prices
