Answer:
1.5
Step-by-step explanation:
k= y/x
y= 12-4.5 =7.5
x= 8-3 = 5
k = 7.5/5 = 1.5
Answer:
b = 6 units
Step-by-step explanation:
Area = 1/2bh
8 = 1/2(b)(8/3)
divide both sides by 1/2
16 = b(8/3)
multiply both sides by 3
48 = 8b
divide both sides by 8
b = 6 units
For your boxes:
1/2 x b/1 x 8/3 = 8/1
b/1 x 8/3 = 16/1
8b/3 / 8 = 2/1
b/3 x 3 = 6
Answer:
Step-by-step explanation:
She needs 12 pizzas
x + y = 12
She also can't spend more than 180 dollars.
8x + 11y < 180 She can get all 12 pizzas and have the bill come to 132 dollars
11 * 12 = 132
She could really be kind to her pocket book and get all cheese pizzas
8*12 = 96 which saves her 36 dollars.
So any number of either kind will do.
(0,12) = 132
(1,11) = 8*1 + 11*11 = 129
and so on down the line
Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
Workers' salaries in your company are uniformly distributed between $15,000 and $40,000 per year
Generally the probability that a randomly chosen worker earns an annual salary between $20,000 and $35,000 is mathematically represented as

=> 
Answer:
the equation | 5x + 10| = -7 has no solution for x ∈ R.
Step-by-step explanation:
Given the absolute value equation
| 5x + 10| = -7
- We know that absolute value is always positive.
Reason:
The reason is that the absolute value is the distance from the number 0. Hence, it can not be less than or equal to a negative number.
Conclusion:
Therefore, we conclude that the absolute value of any number would be either 0 or positive as it can not less than or equal to a negative number.
Therefore, the equation | 5x + 10| = -7 has NO SOLUTION for x ∈ R.