Megan went clothes shopping and bought 2 pairs of flare jeans, 2 camisoles, and 4 t-shirts for $90.00. at the same store, paige
bought one pair of flare jeans and 3 t-shirts for $42.50, while kara bought 1 pair of flare jeans, 3 camisoles, and 2 t-shirts for $62.00. determine the price of each clothing item.
1 answer:
If you let j, c, t represent the prices of jeans, camisoles, and t-shirts, respectively, the three purchases can be described by ...
2j +2c +4t = 90.00
1j +0c +3t = 42.50
1j +3c +2t = 62.00
It is convenient to let a calculator solve these equations. It can tell you the row-reduced matrix equations are ...
[[1 0 0 24.5]
[0 1 0 8.5 ]
[0 0 1 6 ]]
which means
flare jeans cost $24.50
camisoles cost $8.50
T-shirts cost $6.00
2j +2c +4t = 90.00
1j +0c +3t = 42.50
1j +3c +2t = 62.00
It is convenient to let a calculator solve these equations. It can tell you the row-reduced matrix equations are ...
[[1 0 0 24.5]
[0 1 0 8.5 ]
[0 0 1 6 ]]
which means
flare jeans cost $24.50
camisoles cost $8.50
T-shirts cost $6.00
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A) The probability that the event will occur
B)The probability that the event will not occur =
Step-by-step explanation:
We are given that The odds of event occurring are 1:6.
So, Number of successful events = 1
Number of unsuccessful events = 6
So, Total events = 6+1=7
a)the probability that the event will occur=
The probability that the event will occur
b)The probability that the event will not occur =
The probability that the event will not occur =
Answer:
Carbon-14 loses around 10% ( 0.1 in decimal form) of its mass, after one millennium.
Then if we start with a mass A of Carbon-14, after one millennium we will have a mass equal to:
A - A*0.1 = A*(0.9)
After another millennium, we will have a mass equal to:
A*(0.9) - A*(0.9)*0.1 = A*(0.9)^2
And so on, this is an exponential decay.
We already can see the pattern here, after x millenniums, the mass of carbon-14 will be:
M(x) = A*(0.9)^x
Now, in this problem we have 600 grams of carbon-14, then the equation for the mass will be:
y = M(x) = 600g*(0.9)^x
And the graph of this equation is shown below.
