-- The average of 6 numbers is 7.
So those 6 numbers must add up to 42.
-- If one more number results in an average of zero,
the new number must be -42 .
Then all 7 numbers add up to zero.
We draw 10 white tiles.
Then we shade in 9 of them.
We count the remaining tiles to get the answer, which is 1.
Answer: 10
Step-by-step explanation: you have to simplify for it to equal 10
Answer:
f(x) = x*3/4 + 42.5
Step-by-step explanation:
The original difference between the pair is 70 - 30 = 40
The new difference between the pair is 95 - 65 = 30
Since the differences are not the same, Mrs Bailey must first perform a (slope) multiplication by a factor of 30/40 or 3/4
Then 30 * 3/4 = 22.5
Then she can shift the scores up by 65 - 22.5 = 42.5 in order to get the range from 65 to 95
Therefore, f(x) = x*3/4 + 42.5. We can test that
f(30) = 30*3/4 + 42.5 = 65
f(70) = 70*3/4 + 42.5 = 95
Answer:
The coordinates of D is (-4,-9)
Step-by-step explanation:
Given
C = (2,7)
<em>M=(-1,-1) ----- Missing part of question</em>
Required
Determine the coordinates of D
<em>Let the coordinates of D be (x₂,y₂)</em>
<em>We'll solve this question using mid point formula;</em>
<em></em>
<em></em>
<em>Where</em>
and ![M(x,y) = (-1,-1)](https://tex.z-dn.net/?f=M%28x%2Cy%29%20%3D%20%28-1%2C-1%29)
Put these values in the formula
![(-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})](https://tex.z-dn.net/?f=%28-1%2C-1%29%20%3D%20%28%5Cfrac%7B2%2Bx_2%7D%7B2%7D%2C%5Cfrac%7B7%2By_2%7D%7B2%7D%29)
By comparison;
and ![-1 = \frac{7+y_2}{2}](https://tex.z-dn.net/?f=-1%20%3D%20%5Cfrac%7B7%2By_2%7D%7B2%7D)
![-1 = \frac{2+x_2}{2}](https://tex.z-dn.net/?f=-1%20%3D%20%5Cfrac%7B2%2Bx_2%7D%7B2%7D)
Multiply both sides by 2
![-2 = 2 + x_2](https://tex.z-dn.net/?f=-2%20%3D%202%20%2B%20x_2)
Subtract 2 from both sides
![-2 -2 = x_2](https://tex.z-dn.net/?f=-2%20-2%20%3D%20x_2)
![x_2 = -4](https://tex.z-dn.net/?f=x_2%20%3D%20-4)
![-1 = \frac{7+y_2}{2}](https://tex.z-dn.net/?f=-1%20%3D%20%5Cfrac%7B7%2By_2%7D%7B2%7D)
Multiply both sides by 2
![-2 = 7 + y_2](https://tex.z-dn.net/?f=-2%20%3D%207%20%2B%20y_2)
Subtract 7 from both sides
![-2 - 7 = y_2](https://tex.z-dn.net/?f=-2%20-%207%20%3D%20y_2)
![y_2 = -9](https://tex.z-dn.net/?f=y_2%20%3D%20-9)
<em>Hence, the coordinates of D is (-4,-9)</em>