Answer:
4951 students
Step-by-step explanation:
If there was 99 students from each state, that would make the total to be:
99 * 50 = 4950
We can use the pigeon hole principle to make this the minimum number required.
The pigeon hole principle basically tells us that if you have more "pigeons" than "holes" then there must be one hole with multiple objects in it.
So, using this idea, we see that:
we need at least 1 more to ensure this
So, min number required would be
4950 + 1 = 4951
Answer:
<u>The equation would be:</u>
<u>p = 10,000 * (1 + 0.2)∧ t</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Current population of a town = 10,000 inhabitants
Growth rate of the population = 20% annually
2. Which equation could be used to find the population after T years?
p = Population of the town after t years
t = Number of years
We will use the following equation:
<u>p = 10,000 * (1 + 0.2)∧ t</u>
For example, let's calculate the population after 6 years, replacing with the real values, we have:
p = 10,000 * (1 + 0.2)⁶
p = 10,000 * 2.986
p = 29,860 inhabitants
Ok, so this is a spelling sort of work sheet, you need to say each word aloud and if the A in the word is long, then put it in the long A box, if it's a short sounding A, then put it in the short A box.
Hope this helps >.<
Answer:
20 ft long; 12 ft wide
Step-by-step explanation:
Let w = the width of the garden
Then l = w + 8
A = lw
A = (w + 8)w
=====
The sidewalk is 4 ft wide, so, for the big rectangle consisting of garden plus sidewalk:
Width = w +8
Length = w + 16
Area = (w + 8)(w + 16)
=====
The <em>difference</em> between the two areas is the area of the sidewalk (320 ft²).
(w + 8)(w + 16) - (w + 8)w = 320 Factor out w + 8
(w+ 8)(w + 16 – w) = 320 Combine like terms
(w+ 8) × 16 = 320 Divide each side by 16
w + 8 = 20 Subtract 8 from each side
w = 12 ft
l = 12 + 8
l = 20 ft
The garden is 20 ft long by 12 ft wide.
Answer:
a=40
b=50
c= 115
Step-by-step explanation:
The first angle we will find is angle c
65 and angle c make a straight line so they add to 180
c+65 = 180
Subtract 65 from each side
c+65 -65 =180-65
c = 115
Angle a and 40 are vertical angles
Vertical angles are equal
angle a = 40
The sum of the angles in a triangle are equal to 180
a+b+ right angle = 180
40+ b + 90 = 180
130 +b = 180
Subtract 130 from each side
130-130+b = 180-130
b= 50
