2 2/3 = [(2*3)+2]/3 =8/3
(8/3)/5=8/(3*5)=8/15
X = bessie and y = betty
x + y = 1464
y = 2x - 375
x + 2x - 375 = 1464
3x - 375 = 1464
3x = 1464 + 375
3x = 1839
x = 1839/3
x = 613 <== Bessie gave 613 gallons
y = 2x - 375
y = 2(613) - 375
y = 1226 - 375
y = 851 <== Betty gave 851 gallons
Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
Answer:
It will take half of a day
Step-by-step explanation:
Since 12.5 is roughly half of the day, no matter what temperature is, it will take you this amount of time. You also need to include the time that you will use to take breaks and eat meals.
Hi there
The formula to find I (ARP)
I=(2yc)/(m×(1+n)
I=(2×12×350)÷(1,860×(1+36))
I=0.1221×100
I=12.21%
Good luck!