Answer:
3) 12 yd^2
4) 27.5 m^2
5) 48 ft^2
6) 96 m^2
Step-by-step explanation:
3) 4(2x3x0.5) = 12 yd^2
4) (9x5)-(0.5)(7x5) = 27.5 m^2
5) (10x6)-(6x2) = 48 ft^2
6) 12x8 = 96 m^2
((-4)^5)^8 / ((-4)^7)^3
= (-4)^40 / (-4)^21
= (-4)^20
Answer:
the answer is D no solution
x = 160 gal
y = 80 gal
160 gallons of water and 80 gallons of premium antifreeze solution must be mixed.
Answer:
$3000.
Step-by-step explanation:
Suppose the amount invested at 7% is $X and the amount invested at 10% is $Y (assuming that the college student invested all his/her income on the two schemes). Therefore:
X + Y = 8200 (The sum of investments is basically the total income).
0.07X + 0.1Y = 664 (The sum of the interest received from the invested amounts is actually the total return).
Now solving these 2 simultaneous equations:
x + y = 8200 (Equation 1)
7x + 10y = 66400 (Equation 2)
From (Equation 1):
x = 8200 - y (Equation 3)
Put (Equation 3) in (Equation 2):
7(8200 - y) + 10y = 66400.
57400 - 7y + 10y = 66400.
3y = 9000
y = 3000.
$Y is the amount invested at 10%, therefore the final answer is $3000!!!