Step-by-step explanation:
let necklace : x
let earrings : y
x+y=144 -1st eqn
6x+5y=825 -2nd eqn
y=144-X -3rd eqn
substitute eqn into 2nd eqn
6x+5(144-x)= 825
6x +720-5X =825 (expanded)
X = 825-720
X =105
substitute "X=105" into 1st eqn
(105)+y=144
y= 144-105
y=39
1 necklace = 105$
1 pair of earrings = 39$
(to check back: substitute the value into the original eqn)
Answer:
a is the area of the largest rectangle
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Below are the choices:
A) (2, 6)
<span>B) (4, 6) </span>
<span>C) (2, 5) </span>
<span>D) (4, 5)
</span>
The answer should be: (4, 5)
<span>E = (8, 8) -----> E' = (4, 4) = (8/2, 8/2)
</span><span>F = (8, 10) -----> F' = (8/2, 10/2) = (4, 5)</span>
Answer:
0.0006087 (4 sf)
Step-by-step explanation:
Binomial distribution: X ~ B(n, p)
where n is the number of trials and p is the probability of success
Let the random variable X be the number of people with brown eyes
n = 14
p = 40% = 0.4
Therefore, X ~ B(14, 0.4)
P(X ≥ 12) = 1 - P(X ≤ 11)
= 1 - 0.9993913226...
= 0.000608677...
Answer:
z = 3
Step-by-step explanation:
Since the points are collinear then the slopes between the points are equal.
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)
m = 
= 1
Repeat with
(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )
m = 
= 
, then
= 1 ( multiply both sides by 5 )
z + 2 = 5 ( subtract 2 from both sides )
z = 3
