Answer:
23
Step-by-step explanation:
Answer:
The inequality is
2 x - 6 > 6(x -2) +8
To solve the inequality we will first use distributive property with respect to multiplication over subtraction
And then bring constant on one side and variable on another side keeping the inequality maintained
2 x -6 > 6 x -12 + 8
2 x -6 > 6 x - 4
6 x - 2 x< -6+4
4 x < -2
Dividing both sides by 2
x < 
Now i will draw the graph of above function.
Answer:
8 students,
15 cans of juice and 11 packs of cheese cracker
Step-by-step explanation:
Mariam’s uncle donate 120 cans of juice and 90 - 2 = 88 packs of cheese cracker (eats two packs) for the school picnic.
Factor these numbers:

The greatest common factor is

so the greatest number of students who can share the food equally is 8 and each student will get
cans of juice and 11 packs of cheese cracker.
One ate 1/3, Another ate = 1/4.
Total ate = 1/3 + 1/4 = (4 + 3) / 12 = 7/12
Fraction the third girl got = (The whole =1) minus 7/12
= 1 - 7/12 = (12 - 7) / 12 = 5/12
The third girl ate 5/12 of the pizza.
Answer:
see explanation
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
Then for the equation to have 2 real roots , the discriminant must be greater than zero , that is
b² - 4ac > 0
x² + x + c = 0 ← is in standard form
with a = 1, b = 1, c = c , then
b² - 4ac > 0
1² - (4 × 1 × c) > 0
1 - 4c > 0 ( subtract 1 from both sides )
- 4c > - 1
Divide both sides by - 4, reversing the inequality as a result of dividing by a negative quantity.
c < 