Answer: 35 additional teachers are needed
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Explanation:
We have 2470 students and the ratio of students to teachers is 26:1. This means that for every teacher, there are 26 students. Put another way, we can set up this ratio
2470/x = 26/1
where x is the number of teachers. Cross multiply and solve for x
2470/x = 26/1
2470*1 = 26*x
2470 = 26x
26x = 2470
26x/26 = 2470/26
x = 95
So we have 95 teachers currently
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Let y be the new number of teachers needed to bring the ratio down to 19:1
Using a similar idea as done above, we would have this ratio
2470/y = 19/1
Let's solve for y
2470/y = 19/1
2470*1 = 19*y
2470 = 19y
19y = 2470
19y/19 = 2470/19
y = 130
So we'll need 130 teachers to have the ratio be 19:1
The difference of the values is y - x = 130 - 95 = 35, which is the final answer. This is the additional amount of teachers needed.
Answer:
<h3>Step 1 - Find the gradient of 2x + 4y = 16</h3>
2x + 4y = 16
4y = 16 - 2x
y = 4 - 1/2x
gradient = -1/2
<h3>Step 2 - Find the Equation</h3>
y - y1 = m(x - x1)
m = gradient, (x1, y1) = (-2,2)
y - 2 = -1/2 (x + 2)
y - 2 = -1/2x - 1
y = -1/2x + 1 → ANSWER
Hope it helps!
Answer: a) 1 / ⁴⁰C₅ b) 0.33
Step-by-step explanation:
a) The sample space consists of all numbers 1-40.
Since any of the number can be taken from the sample space so each of five 5 distinct numbers we take has equal probability of occurring. So probability of each 5 numbers set we take will be equal to 1 / ⁴⁰C₅
b)
If we pick exactly 3 even number then that means other 2 will be odd.
So, we have sample space of 40 numbers out of which 20 are even and 20 are odd.
Now we have to pick 3 even out of 20 and 2 odd out of 20.
Probability = ²⁰C₃ * ²⁰C₂ / ⁴⁰C₅
Probability= 0.33
Answer:
Option B, 105 would be correct
Step-by-step explanation:
The Vertical Angles Theorem states that angles that are opposite diagonally are congruent, therefore; ? = 105°
Hope this helps!
Answer:
Step-by-step explanation:
Let
c-------> the number of cookies in each batch
we know that
To find the total number of cookies, multiply the number of batches by the number of cookies in each batch
so
------> equation that represent the total number of cookies
If Anna ate 
cookies
then
The expression to know how many cookies Anna has left is equal to
