Answer:
Mexico's total score was 49
The overall average was 7
Step-by-step explanation:
7.5+6.4+9.1+5.4+5.4+6.2+9.0=49
49/7=7
Answer: the speed of the boat on the lake is 9 mph
Step-by-step explanation:
Let x represent the speed of the boat on the lake or in still water.
The speed of the current in a river is 6 mph. This means that if the boat goes upstream against the speed of the current, its total speed would be (x - 6)mph. If the boat goes downstream against the speed of the current, its total speed would be (x + 6)mph.
Time = distance/ speed
Every day, his route takes him 22.5 miles each way against the current and back to his dock, and he needs to make this trip in a total of 9 hours. This means that the time taken to travel upstream is
22.5/(x - 6). The time taken to travel downstream is
22.5/(x + 6)
Since the total time is 9 hours, it means that
22.5/(x - 6) = 22.5/(x + 6)
Cross multiplying, it becomes
22.5(x + 6) + 22.5(x - 6) = 9
Multiplying through by (x + 6)(x - 6), it becomes
22.5(x - 6) + 22.5(x + 6) = 9[(x + 6)(x - 6)]
22.5x - 135 + 22.5x + 135 = 9(x² - 6x + 6x - 36)
22.5x + 22.5x = 9x² - 324
9x² - 45x - 324 = 0
Dividing through by 9, it becomes
x² - 5x - 36 = 0
x² + 4x - 9x - 36 = 0
x(x + 4) - 9(x + 4) = 0
x - 9 = 0 or x + 4 = 0
x = 9 or x = - 4
Since the speed cannot be negative, then x = 9
Answer:
$128,270
Step-by-step explanation:
Hello!
The income amount $168,050 fits into the fourth line of the table ($82,250-$171,550). The tax on $168,050 is found as follows:
$16,750 plus 0.28 times the amount over $82,250.
Let's figure the tax: $16,750 + 0.28($82,250) = $16,750 + $23,030, or
$39,780. If this tax is deducted from the person's gross pay, the amount left ("take home pay") will be $168,050 - $39,780, or $128,270.
I believe it is C 10 is a common multiple of 5 and 10
Answer:
8/5
Step-by-step explanation:
