Answer:
LM=11
Step-by-step explanation:
LN= ML+MN
4x+9=(2x+7)+(3x)
4x+9=5x+7
5x-4x= 9-7
x=2
LM=2x+7 =2(2)+7=4+7=11
Charge of Ralph:
Charge = $24 + $33 per hour
Let the time worked be = x.
For x hours, the cost = 33*x = 33x
Charge = 24 + 33x
24 + 33x = 189
33x = 189 - 24
33x = 165
x = 165/33
x = 5
The job took 5 hours.
I hope this helped
Step-by-step explanation:
x = one odd number
the second odd number is (x+2), as both are consecutive.
so,
x × (x + 2) = 195
x² + 2x = 195
x² + 2x - 195 = 0
the formula to solve this is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -195
x = (-2 ± sqrt(4 - 4×1×-195))/(2×1) =
= (-2 ± sqrt(4 + 4×195))/2 = (-2 ± sqrt(784))/2 =
= (-2 ± 28)/2 = -1 ± 14
x1 = -1 + 14 = 13
x2 = -1 - 14 = -15 which is invalid as the numbers are positive.
so, the two numbers are 13 and 15.
Answer:
1. 44
2. 73
Step-by-step explanation:
1:
1/2 (7) (4) + 6 (5) =
1/2 (28) + 30 =
14 + 30 =
44
2:
12 (6) + 1/4 (2^2) =
72 + 1/4 (4) =
72 + 1 =
73
