In order to find which one of the given points is a solution to the equation, we need to plug each point in the equation and check which one fits in .
The equation is :
5x+2y=-9
a.(2,-4)
5x+2y=-9
LHS: 5x+2y
Plugging (2,-4) in this,
5(2) +2(-4) = 10-8 =2
RHS : -9
LHS ≠RHS
So (2,-4) is not the solution.
b.(-1,2)
5x+2y=-9
LHS: 5x+2y
Plugging (-1,2) in this,
5(-1) +2(2) = -5+4 =-1
RHS : -9
LHS ≠RHS
So (-1,2) is not the solution.
c.(-2,5)
5x+2y=-9
LHS: 5x+2y
Plugging (-2,5) in this,
5(-2) +2(5) = -10+10 =0
RHS : -9
LHS ≠RHS
So (-2,5) is not the solution.
d.(1,-3)
5x+2y=-9
LHS: 5x+2y
Plugging (1,-3) in this,
5(1) +2(-3) = 5-6=-1
RHS : -9
LHS ≠RHS
So (1,-3) is not the solution.
None of the given options is a solution to the given equation.
Cost of the current plan: $175
Number of devices: x
Cost of the new plan: $94+($4.50/device)x
Cost of the new plan is less than the current plan:
$94+($4.50/device)x<$175
Solving for x:
$94+($4.50/device)x-$94<$175-$94
($4.50/device)x<$81
(device/$4.50)($4.50/device)x<(device/$4.50)($81)
x<18 devices
Please, see the attached file.
Thanks.
Answer:
<u>The correct answer is 5/24 or 0.21</u>
Step-by-step explanation:
1. Let's review all the information given to answer the question correctly:
Science class in seventh grade = 4 girls and 4 boys
Science class in eighth grade = 5 girls and 7 boys
2. What is the probability that both students selected for the competition are girls, a seventh grader and an eighth grader?
These are independent events, therefore:
Probability of two independent events = Probability of A * Probability of B
Probability of both students selected for the competition are girls = 4/8 * 5/12
Probability of both students selected for the competition are girls = 20/96 = 5/24
<u>The correct answer is 5/24 or 0.21</u>
Answer:
g) 8.50 per pound
Step-by-step explanation:
22.10/2.6
Answer:
30 feet
Step-by-step explanation:
If they are equal, just divide 360 by 12.
360 ÷ 12 = 30
