The right answer is Option A.
Step-by-step explanation:
Let,
x be the postcards
y be the large envelops
According to given statement;
14x+5y=12 Eqn 1
10x+15y=24.80 Eqn 2
Multiplying Eqn 1 by 3;

Subtracting Eqn 2 from Eqn 3;

Dividing both sides by 32

Putting x=0.35 in Eqn 1;

Dividing both sides by 5

Therefore, one large envelope costs $1.42
The right answer is Option A.
Keywords: linear equations, subtraction
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Answer:
2,674.14 g
Step-by-step explanation:
Recall that the formula for radioactive decay is
N = N₀ e^(-λt)
where,
N is the amount left at time t
N₀ is the initial amount when t=0, (given as 42,784 g)
λ = coefficient of radioactive decay
= 0.693 ÷ Half Life
= 0.693 ÷ 18
= 0.0385
t = time elapsed (given as 72 years)
e = exponential constant ( approx 2.7183)
If we substitute these into our equation:
N = N₀ e^(-λt)
= (42,787) (2.7183)^[(-0.0385)(72)]
= (42,787) (2.7183)^(-2.7726)
= (42,787) (0.0625)
= 2,674.14 g
Answer:
y = 1/3x + 4 1/3
Step-by-step explanation:
2x - 6y = 12
First find the slope
Solve for y
Subtract 2x
2x - 6y -2x= 12-2x
-6y = -2x+12
Divide by -6
-6y/-6 =-2x/-6 +12/-6
y = 1/3 x -2
The slope is 1/3
Parallel lines have the same slope
Using the slope intercept form y = mx+b where m is the slope and b is the y intercept
y = 1/3x +b
And substituting in the point
4 = 1/3 (-1) +b
4 = -1/3 +b
Add 1/3 to each side
4 + 1/3 = b
y = 1/3x + 4 1/3
Answer:
the answer is 205
Step-by-step explanation:
%/100 X is/of 177 IS 60% of the students. so you put 60/100 and multiply 177/X 177X100=17700. Now divide that by 60 and you come up with 28.33. This obviously is not the answer so you add 28 (does not round up to 29) to 177 and you get 205.
Answer:
the first option - 48s + 4.75
Step-by-step explanation: