Answer:
d
Step-by-step explanation:
Sixth grade
Because if you divide their total profit by the total amount of hours they worked, you would find that the sixth grade's income per hour is the highest.
Sixth grade: 170÷5=34
Seven grade: 112÷4=28
Eighth grade: 192÷6=32
Answer:
![(2,2)~ \text{and}~ (-2,-2)](https://tex.z-dn.net/?f=%282%2C2%29~%20%5Ctext%7Band%7D~%20%28-2%2C-2%29)
Step by step explanation:
![x^2 +y^2 =8~~~~~~...(i)\\\\x-y=0~~~~~~~~~...(ii)\\\\\text{From (ii):}\\\\x-y = 0 \implies x = y\\\\\text{Substitute x = y in eq (i):}\\\\~~~~~~y^2 +y^2 =8\\\\\implies 2y^2 = 8\\ \\\implies y^2 = \dfrac 82\\\\\implies y^2 = 4\\\\\implies y = \pm\sqrt 4\\\\\implies y = \pm 2\\\\\text{Substitute y = x in equation (i):}\\ \\~~~~~~x^2 +x^2 = 8\\ \\\implies 2x^2 = 8\\\\\implies x^2 = \dfrac 82\\\\\implies x^2 = 4\\\\\implies x = \pm\sqrt 4\\\\\implies x = \pm2\\\\](https://tex.z-dn.net/?f=x%5E2%20%2By%5E2%20%3D8~~~~~~...%28i%29%5C%5C%5C%5Cx-y%3D0~~~~~~~~~...%28ii%29%5C%5C%5C%5C%5Ctext%7BFrom%20%28ii%29%3A%7D%5C%5C%5C%5Cx-y%20%3D%200%20%5Cimplies%20x%20%3D%20y%5C%5C%5C%5C%5Ctext%7BSubstitute%20x%20%3D%20y%20%20in%20eq%20%28i%29%3A%7D%5C%5C%5C%5C~~~~~~y%5E2%20%2By%5E2%20%3D8%5C%5C%5C%5C%5Cimplies%202y%5E2%20%3D%208%5C%5C%20%5C%5C%5Cimplies%20y%5E2%20%3D%20%5Cdfrac%2082%5C%5C%5C%5C%5Cimplies%20y%5E2%20%3D%204%5C%5C%5C%5C%5Cimplies%20y%20%3D%20%5Cpm%5Csqrt%204%5C%5C%5C%5C%5Cimplies%20y%20%3D%20%5Cpm%202%5C%5C%5C%5C%5Ctext%7BSubstitute%20y%20%3D%20x%20%20in%20equation%20%28i%29%3A%7D%5C%5C%20%5C%5C~~~~~~x%5E2%20%2Bx%5E2%20%3D%208%5C%5C%20%5C%5C%5Cimplies%202x%5E2%20%3D%208%5C%5C%5C%5C%5Cimplies%20x%5E2%20%3D%20%5Cdfrac%2082%5C%5C%5C%5C%5Cimplies%20x%5E2%20%3D%204%5C%5C%5C%5C%5Cimplies%20x%20%3D%20%5Cpm%5Csqrt%204%5C%5C%5C%5C%5Cimplies%20x%20%3D%20%5Cpm2%5C%5C%5C%5C)
![\text{Hence,}~ (x,y) = (\pm2, \pm 2)](https://tex.z-dn.net/?f=%5Ctext%7BHence%2C%7D~%20%28x%2Cy%29%20%3D%20%28%5Cpm2%2C%20%5Cpm%202%29)
C, or 5000(0.9)t is correct.
Multiplying by 0.1 would not make the car’s price go down by ten percent, but 90. Hence, C is correct.
Hope this helps!
Answer:
Step-by-step explanation:
Distance traveled by Talia = x
Cost for travelling 'x' miles = x * 0.20 = 0.2x
Daily budget = $94
Inequality,
30 + 0.2x ≤ 94
Solution:
0.2x ≤ 94 - 30
0.2x ≤ 64 {Divide both sides by 0.2
x ≤ 64/0.2
x ≤ 320