Answer:
<h2>
y = 3.5x + 15</h2>
Step-by-step explanation:
Number of months is x, and number of pairs of shoes after each month is y.
7 new pairs of shoes every 2 months means that after each month:
y = 7/2 x
We need to add the 15 pairs from start.
y = 3.5x + 15
Positive integer factors of 100:
1, 2, 4, 5, 10, 20, 25, 50, 100
Now find if they are a multiple of 2 or 3.
2, 4, 10, 20, 50, 100
That is 6 factors.
Answer:
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
Step-by-step explanation:
If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it sweeps an area of 48 cm, we will follow the steps below;
area of a sector = Ф/360 × πr²
where Ф is the angle, r is the radius π is a constant
from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5
Ф =? area of the sector= 48 cm² π = 
we can now go ahead to substitute the values into the formula and solve Ф
area of a sector = Ф/360 × πr²
48 = Ф/360 ×
× (3.5)²
48 = Ф/360 ×
×12.25
48 = 269.5Ф / 2520
multiply both-side of the equation by 2520
48×2520 = 269.5Ф
120960 = 269.5Ф
divide both-side of the equation by 269.5
448.8≈Ф
Ф = 448.8°
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
Usually when you see f(x) or as yours is f(6) f with parenthesis is just a fancy way of saying y= so basically you plug six in for the x values of your question