Answer:
1.2 kg
Step-by-step explanation:
filling the jug up half way adds 1.4 kg to the weight.
2 x 1.4 - 2.8 kg of marbles when full
4-2.8 = 1.2 kg
Answer:
6y + 5x = -54
Step-by-step explanation:
y = m x + b -> slope-intercept form
ax + by = c -> standard form

6y = -5x - 54
6y + 5x = -54
Answer:
y= -6
Step-by-step explanation:
-9y+6=-10y
+10y. +10y
y+6=0
-6. -6
y=-6
Answer:
A) 5.50x + 10y ≤ 800
B) yes
C) no
D) 80 pull buoys and 35 kick boards
Step-by-step explanation:
A) The sum of costs must not exceed the budget:
5.50x +10.00y ≤ 800
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B) 5.50(0) +10.00(50) = 500 ≤ 800 . . . . . yes, the coach could buy these
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C) 5.50(125) +10.00(25) = 937.50 > 800 . . . no, they cost too much
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D) The point (80, 35) is in the solution space. The coach could buy 80 pull buoys and 35 kick boards.
3x^2 -2root(6)x + 2 = 0
(root(3)x)^2 -2[root(3)x]root(2)+ (root(2))^2 = 0
let a = root(3)x and b = root(2)
a^2 -2ab + b^2 = 0
(a - b)^2 = 0
by the null factor rule,
a - b = 0
sub back in a and b
root(3)x = root(2)
x = root(3)/root(3)