Answer:
3. 1/2 4. 13/20
Step-by-step explanation:
Those are the only one I know, sorry :/
Answer:
Candy=x=2.8 bags
Cookies=3+2.8=5.8 bags
Step-by-step explanation:
Price
Bag of candy=$6.00
Bag of cookies=$4
Total sales=$40
Quantity
Let cookies=y=3+x
Let candy=x
There are 3 more bag of cookies than candy sold
Total sales=price*quantity of x + price*quantity of y
40=$4*(3+x) + 6*x
40=12+4x+6x
40=12+10x
40-12=10x
28=10x
X=28/10
x=2.8 bags
Answer:
Depends, rise over run could be considered a fraction, or if it's a number that has a whole number like one and 3/4 then you just plot the point to the best of your ability. In other words guess.
Answer:
A(t) = 300 -260e^(-t/50)
Step-by-step explanation:
The rate of change of A(t) is ...
A'(t) = 6 -6/300·A(t)
Rewriting, we have ...
A'(t) +(1/50)A(t) = 6
This has solution ...
A(t) = p + qe^-(t/50)
We need to find the values of p and q. Using the differential equation, we ahve ...
A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50
0 = 6 -p/50
p = 300
From the initial condition, ...
A(0) = 300 +q = 40
q = -260
So, the complete solution is ...
A(t) = 300 -260e^(-t/50)
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The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.
Answer:
Step-by-step explanation:
Rewrite this quadratic in standard form: 3x^2 + 7x - 1.
The coefficients of x are {3, 7, -1}, and so the discriminant is b^2 - 4ac, or
7^2 - 4(3)(-1), or 49 + 12, or 61. Because the discriminant is positive, this quadratic has two real, unequal roots
