Remmeber, you can do anything to an equation as long as you do it to both sides
for inequalities, if you multiply or divide both sides by a negive, flip the direction of the inequality sign
pemdas always applies
but also the commutative property and assiociative property
so
2(5y+13)-6<20
add 6 both sides
2(5y+13)<26
divide both sides by 2 (easier that distributing)
5y+13<13
minus 13 both sides
5y<0
y<0 is the solution
Answer:
Credit remaining after 21 minutes = $30.4
Step-by-step explanation:
Credit remaining on a phone card is a linear function of the total calling time.
When graphed, let the linear function representing the line is,
y = mx + b
Where 'm' = slope of the line
b = y-intercept
From the graph,
Slope of the line = -0.12
y = -0.12x + b
If this line passes through a point (33, 28.96),
28.96 = -0.12(33) + b
b = 28.96 + 3.96
b = 32.92
Therefore, the linear function is,
f(x) = -0.12x + 32.92
where x = calling time
Credit left in the card after 21 minutes,
f(21) = -0.12(21) + 32.92
= -2.52 + 32.92
= $30.4
(12 - 2) * 180 = 1,800/12 = 150
(8 - 2) * 180 = 1,080/8 = 135
B. 8 sides
$0.18 is the answer. How I got it was you do $4.50 over 25 ounces. Then divide the $4.50 by 25. You should get 0.18
Answer:
31 human cases.
Step-by-step explanation:
The least squares line equation for the number of reported dead birds (x), versus the number of human West Nile virus cases (y) is
y = -10.2638 + 0.0491x
If the number dead birds reported in a year is 844, then we have to find the numbers of human cases of West Nile virus.
To find the numbers we will plug in the value of x = 844 in the linear equation.
y = -10.2638 + 0.0491(844)
= -10.2638 + 41.4404
= 31.1766
≈ 31
Therefore, 31 human cases can be expected.
