Answer:
Sandra need to score at least <u>56%</u> in her fifth test so that her average is 80%.
Step-by-step explanation:
Given:
First 4 test scores = 87%, 92%, 76%,89%
Average targeted = 80%
We need to find the minimum score she needs to make on fifth test to achieve average of at least 80%.
Solution:
Let the minimum score she needs to make in fifth test be 'x'.
Total number of test = 5
Now we know that;
Average is equal to sum of all the scores in the test divided by number of test.
framing in equation form we get;
Multiplying both side by 5 we get;
Subtracting both side by 344 we get;
Hence Sandra need to score at least <u>56%</u> in her fifth test so that her average is 80%.
2 ways: Easy and hard
Hard=A
Easy=B
A: 1/2x+4
work from there so we do fun stuff with it
make something that can be simplified so
1/2x+4 times (2/2)=x+8
now square the whole thing and put the result in a square root thingie
(x+8)^2=x^2+16x+64
multiply the whole thing by 4/4 and put
![\sqrt{16} [\tex] on top so then [tex] \sqrt{x^2+16x+64}](https://tex.z-dn.net/?f=%20%5Csqrt%7B16%7D%20%5B%5Ctex%5D%20on%20top%20so%20then%20%0A%5Btex%5D%20%5Csqrt%7Bx%5E2%2B16x%2B64%7D%20)
times
=
=
to solve it, factor out the 16 in the square root and then square root 16 to get 4
then it will be (4 times square root of equation)/4=square root of equatio
factor square root of equation and square root it and get x+8
divide by 2 to get 1/2x+4
B: 1/2x+4
put stuff that cancels out
1/2x+3x-3x+4+56-56
move them around
3 and 1/2x-3x+60-56
or
2x-3x+1 and 1/2x+30-20+30-36
then just add like terms to solve
Answer:
A.) 36
Step-by-step explanation:
For a perfect square trinomial, a = 1 b = 2x c = x². For an example, (x+3)² = x² + 6x + 9.
For this trinomial, divide "b" by 2 to get 6. Square this number and you will have 36.
x² + 12x + 36
X+8>= 18
therefore, the circle has to be on ten, (solid) and an arrow pointing to the right,
10+8>=18 which is true.
-7+x>= -8
the circle is going to be on -1, (solid) and pointing to the right.
-7 +-1 (-8) >=-8 which is true, then -7 +0>= -8 which is true
n-2<=4 so, the answer is a dot (solid) on 6 pointing to the left
6-2 (4) <=4 then 5-2 (3) <= 4 which both are true
-18+n<-7
so this answer is going to be on 10, and it will be a hollow dot, pointing to the left
-18+10 (-8) <-7 which is true
n-4>=13
so, this has to be greater than or equal to 13.
n must be greater than or equal to 17 (add 4 to both sides) so the dot (solid) is going to be on 17 and pointing to the right.
NOTICE: I had a different explanation for number 9, which is how I figured each one out.
Hope this helped! Sorry it took so long!
